please helpppp (::: this is hard

Please Helpppp (::: This Is Hard

Answers

Answer 1

Answer:

sin θ = (√21) / 5

tan θ = (√21) / 2

Step-by-step explanation:

Remember the formulas for the trigonometry ratios with SohCahToa:

sin θ = opposite / hypotenuse

cos θ = adjacent / hypotenuse

tan θ = opposite / adjacent

If cos θ = 2/5, then:

adjacent = 2

hypotenuse = 5

Remember all right triangles follow the Pythagorean Theorem. So if you are missing one side, you can solve.

Let's find the opposite side.

a² + b² = c²

2² + b² = 5²

4 + b² = 25

b² = 21

b = √21

opposite = √21

Now we know all three sides. Use the trigonometry ratios to find sine and tangent.

sin θ = opposite / hypotenuse

sin θ = (√21) / 5

tan θ = opposite / adjacent

tan θ = (√21) / 2


Related Questions

Samuel and Jason sell cans to a recycling center that pays $0.40 per pound of cans. The table shows the number of pounds of cans that they sold for several days.

Day Samuel's cans(lb) Jason's cans(lb)
Monday 17.4 10.4
Tuesday 13.3 11.3
Wednesday 10.4 7.2

Samuel wants to use his earnings from Monday and Tuesday to buy some batteries that cost $5.50 each. How many batteries can Samuel buy?

Samuel can buy batteries

Answers

Answer:

I believe 2 batteries

Step-by-step explanation:

17.4 pounds from monday + 13.3 from Tuesday= 30.7 pounds.

30.7 pounds times $0.40 is $12.28

12.28/5.5 is 2.327272727...

You cant buy .3 of a batter so the answer should be 2

The angle \theta_1θ 1 ​ theta, start subscript, 1, end subscript is located in Quadrant \text{I}Istart text, I, end text, and \cos(\theta_1)=\dfrac{3}{8}cos(θ 1 ​ )= 8 3 ​ cosine, (, theta, start subscript, 1, end subscript, ), equals, start fraction, 3, divided by, 8, end fraction . What is the value of \sin(\theta_1)sin(θ 1 ​ )sine, (, theta, start subscript, 1, end subscript, )? Express your answer exactly.

Answers

Answer:

[tex]\sin(\theta_1) =\frac{\sqrt{55} }{8}[/tex]

Step-by-step explanation:

The angle [tex]\theta_1[/tex] is located in Quadrant I and [tex]\cos(\theta_1)=\frac{3}{8}[/tex]

From Trigonometric ratio, In the First Quadrant

[tex]\cos \theta=\frac{Adjacent}{hypotenuse}[/tex]

Adjacent =3, Hypotenuse =8

Using Pythagoras Theorem

[tex]Hypotenuse^2=Opposite^2+Adjacent^2\\8^2=Opposite^2+3^2\\Opposite^2=64-9=55\\Opposite=\sqrt{55}[/tex]

Therefore:

[tex]\sin(\theta_1)=\frac{Opposite}{Hypotenuse}\\\sin(\theta_1) =\frac{\sqrt{55} }{8}[/tex]

Jessica is buying several bunches of bananas to make desserts for a fundraiser. She can buy 10 pounds of bananas at Smiths for $14.90 or 8 pounds at Walmart for $12.08. How much would the cost per pound be at Smiths?

Answers

Answer:

$1.49 per pound of bananas at Smiths

Step-by-step explanation:

1. 10 pounds is $14.90

2. Find how much one pound costs by dividing 14.90 by 10

3. 14.90/10= 1.49

4. $1.49 per pound of bananas at Smiths

Ryan is using tiles in his bathroom. He chooses 1" x 2" tiles for the border and would like tiles that are similar to the border as the interior tiles. Interior tiles will be larger by scale factor of 3.5. What are the dimensions of the interior tiles?

Answers

Answer:

The area of the interior tiles must be 7 inches ² with dimensions 1.871" x 3.742".

Step-by-step explanation:

Since the interior tiles must be 3.5 larger then the border tiles to calculate the dimensions of the interior tiles we first need to find the area of the border tiles. This is shown bellow:

area border = 1*2 = 2 inches²

The area of the interior tiles is 3.5 larger than that, so we have:

area interior = 2*(area border) = 2*3.5 = 7 inches²

In order to maintain the same proportions as the border tiles we must find a width that is two times the height, so we have:

area interior = width*height = 2*height*height = 2*height²

7 = 2*height²

height² = 3.5

height = sqrt(3.5) = 1.871

width = 2*height = 2*1.871 = 3.74166

The area of the interior tiles must be 7 inches ² with dimensions 1.871" x 3.742".

The interior tiles that Ryan wants to use in his bathroom will have dimensions of 3.5 inches by 7 inches.

Ryan is using 1" x 2" tiles for the border of his bathroom and wants to use similar tiles for the interior that are larger by a scale factor of 3.5.

To calculate the dimensions of the interior tiles, you simply multiply the dimensions of the border tiles by the scale factor. Therefore, the dimensions of each interior tile will be:

2 inches (width of border tile) x 3.5 = 7 inches (width of interior tile)

what’s the probability of p(7)

Answers

Answer:

The question not complete

Pls help! I need to know if this is right! 50 points!

A small delivery company can deliver only in a small part of the city. Write an equation for the boundary where the company delivers. and find its radius.


Select the appropriate response:

A) (x+1)2+(y-1)2= 25 radius = 5 miles

B) (x-1)2+(y+1)2= 25 radius = 5 miles

C) (x+1)2+(y-1)2= 25 radius = 10 miles

D) (x-1)2+(y+1)2= 25 radius = 10 miles

Answers

Answer: B) (x-1)2+(y+1)2= 25 radius = 5 miles

Step-by-step explanation:

In order to get this answer you see that you are adding a negative to x in the first part then multiplying it by 2. Second, you add y+1 then multiplying it by 2. You get the radius of 25 which equals 5 miles. Look at the graph to also check your answers to the problem.

Answer:

B) (x-1)2+(y+1)2= 25 radius = 5 miles

Step-by-step explanation:

Equation of a circle:

(x - h)² + (y - k)² = r²

(h,k) = (1, -1)

r = 5

(x - 1)² + (y - -1)² = 5²

(x - 1)² + (y + 1)² = 25

Mishka is on a long road trip, and she averages 75 mph for 2 hours while she's driving on the highway. While she's driving on side roads for 1 hour, she only averages 45 mph. What is the total distance that she covers on her road trip?
A.
120 miles
B.
195 miles
C.
240 miles
D.
75 miles

Answers

If she goes 75 mph for 2 hours, that's 150 miles altogether. 45 mph for 1 hour is 45 miles, so 150 + 45 is 195 miles.

The total distance that Mishka covers on her road trip is 195 miles.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

To calculate the total distance covered on the road trip

we need to add the distances traveled on the highway and side roads.

Distance on the highway = speed × time

= 75 mph × 2 hours

= 150 miles

Distance on side roads = speed × time

= 45 mph × 1 hour

= 45 miles

Total distance covered = Distance on the highway + Distance on side roads = 150 miles + 45 miles

= 195 miles

Therefore, the total distance that Mishka covers on her road trip is 195 miles.

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Which expressions represent the product of exactly two factors? Choose 2 answers: Choose 2 answers: (Choice A) A x+yx+yx, plus, y (Choice B) B 5(x+y)5(x+y)5, left parenthesis, x, plus, y, right parenthesis (Choice C) C (x+y)left parenthesis, x, minus, y, right parenthesis, left parenthesis, x, plus, y, right parenthesis (Choice D) D xy, y, z

Answers

Answer: B and C because I got it correct so trust me

Step-by-step explanation:

Ez

The perimeter of a rectangle is 48 feet. If the length measures 16 feet, which is the width?

A. 5ft

B. 8ft

C. 10ft

D. 16ft

Answers

Answer:

B. 8ft

Step-by-step explanation:

The perimeter of a rectangle is given by

P = 2(l+w) where l is the length and w is the width

Substituting in the given values

48 = 2(16+w)

Divide each side by 2

48/2 = 2/2(16+w)

24 = 16+w

Subtract 16 from each side

24-16 =16+w-16

8 =w

A set of data with 100 observations has a mean of 267. There are six outliners in the data set, which have a mean of 688 if the six outliners are removed, what is the mean of the new data set?

Answers

Answer:

272.04

Step-by-step explanation:

We must make a weighted average, as follows:

Each mean will have its weight, which would be the number of observations, therefore, the initial mean has a weight of 100.

And the final mean that we do not know its value but if its 94 (100 - 6) and the other mean that it is 688 and its weight is 6, we have the following equality:

100 * 297 = 688 * 6 + 94 * x

x would be the final mean, solving:

x = (29700 - 4128) / 94

x = 272.04

average after removing those 6 is 272.04

HELP ME PLEASE


Match each transformation or sequence of transformations to an equivalent transformation or sequence of transformations.
a 90° counterclockwise rotation about the origin
a 180° rotation about the origin
a 90° clockwise rotation about the origin
a 90° counterclockwise rotation about
the origin and then a 180° rotation
about the origin

arrowRight
a reflection across the x-axis and then a
reflection across the y-axis
arrowRight
a 90° clockwise rotation about the origin
and then a rotation 180° about the origin
arrowRight

Answers

Final answer:

A 90° counterclockwise rotation is the same as a 270° clockwise rotation. A 180° rotation is the same as a reflection across both axes. A 90° clockwise rotation is the same as a 270° counter-clockwise rotation. Two separate rotations of 90° counter-clockwise and then 180° are the same as rotations of 90° clockwise and then 180°.

Explanation:

In mathematics, especially in geometry, transformations involve changing the position, size or shape of a figure. The question is about matching specific transformations or sequence of transformations to its equivalent transformation.

A 90° counterclockwise rotation about the origin is equivalent to a 270° clockwise rotation about the origin because they both result in the same final position.A 180° rotation about the origin is equivalent to a reflection across the x-axis and then a reflection across the y-axis. Both of these transformations result in the figure being flipped over the origin.A 90° clockwise rotation about the origin  is equivalent to a 270° counterclockwise rotation about the origin as they both result in the same final position.A 90° counterclockwise rotation about the origin and then a 180° rotation about the origin is equivalent to a 90° clockwise rotation about the origin and then a rotation 180° about the origin because they both result in the same final position.

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What is 3x+2y=15 y=6x

Answers

Final answer:

The solution to the system of equations is x = 1 and y = 6.

Explanation:

The given equations are:

3x + 2y = 15

y = 6x

To solve this system of equations, we can substitute the value of y from the second equation into the first equation:

3x + 2(6x) = 15

3x + 12x = 15

15x = 15

x = 1

Substituting the value of x into the second equation to find y:

y = 6(1)

y = 6

So, the solution to the system of equations is x = 1 and y = 6.

(x+7)(x+3) polynomial standard form

Answers

Answer:

[tex] {x}^{2} + 10x + 21[/tex]

Step-by-step explanation:

[tex](x + 7)(x + 3) \\ = x(x + 3) + 7(x + 3) \\ = {x}^{2} + 3x + 7x + 21 \\ \purple{ \bold{= {x}^{2} + 10x + 21}}[/tex]

A teacher works for a textbook company during the summer. She makes $35 per page to write the material and $25 per page to type it. The teacher would like to earn at least $3200, but does not want more than 120 pages of work. Let "x" represent the number of pages written and "y" represent the number of pages typed. Write a system of inequalities to represent this situation.

Answers

Answer:

$35 x + $25 y ≥ $3200           x ≤ 120

Step-by-step explanation:

Because she needs to write before type the page, so that y≤x

∴ x≤120

$35 x + $25 y ≥ $3200           x ≤ 120

Final answer:

The system of inequalities for the teacher's summer work with the textbook company is 35x + 25y \\( ext{≥}) 3200, x + y \\( ext{≤}) 120, x \\( ext{≥}) 0, and y \\( ext{≥}) 0, where x is pages written and y is pages typed.

Explanation:

The system of inequalities to represent the situation where a teacher works for a textbook company during the summer, earns $35 per page for writing the material and $25 per page for typing, wants to earn at least $3200, and does not want more than 120 pages of work would be:

35x + 25y \\( ext{≥}) 3200

x + y \\( ext{≤}) 120

x \\( ext{≥}) 0

y \\( ext{≥}) 0

Here, x represents the number of pages written and y represents the number of pages typed. The first inequality ensures the teacher earns at least $3200, the second inequality ensures the total number of pages does not exceed 120, and the last two inequalities represent that the teacher cannot write or type a negative number of pages.

How many solutions are there for quadratic graphed below:



Group of answer choices

1 solution

Infinite Solutions

No solutions

2 solutions

Answers

Answer:

No solutions

Step-by-step explanation:

The graph does not contact the x axis

There are no real answers for this reason.

Find the perimeter of the rectangle. The drawing is not to scale.
29 ft
66 ft

Answers

190 feet
29+29+66+66=190 feet

Answer: 190

Step-by-step explanation: The perimeter is the measurement of every side. So multiply 29 by 2 To get 58 since there is two sides with that length. You'd then multiply 66 by 2 to get 132 For the same reason, and then finally add both of those together to get 190

Identify which type of sampling is used. The name of each contestant is written on a separate card, the cards are placed in a bag, and three names are picked from the bag.
A) Stratified
B) Systematic
C) Convenience
D) Cluster
E) Simple Random

Answers

Answer: E simple random

Step-by-step explanation:

A simple random sample in a statistics is a subset of individuals chosen from a larger set. Each individual is chosen randomly and entirely by chance, such that each individual has the same probability

Final answer:

The type of sampling used in this scenario is simple random sampling(E), where each member of the population has an equal chance of being chosen.

Explanation:

The type of sampling used in this scenario is simple random sampling(option E).

In simple random sampling, each member of the population has an equal chance of being chosen.

In this case, since the cards are placed in a bag and three names are picked, each card has an equal probability of being selected, making it simple random sampling.

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What is the square root of negative 64?

Answers

The answer should be 8 i

Answer: 8 i

Step-by-step explanation: The square root of negative 64 is 8 i. Whenever you are finding a negative square root you need to find what times what will equal that number. 8 x 8 = 64. So the square root is 8. But, since we are finding a negative square root, the answer will be 8 i. i states that 8 is the negative square root of 64.

So the answer is 8 i.

Always add i after the number when finding negative square roots.

f(n) = 45 • (4/5) ^n-1

Answers

The calculated common ratio of the sequence is 4/5

How to determine the common ratio of the sequence

From the question, we have the following parameters that can be used in our computation:

[tex]F(n) = 45 \cdot (\frac45)^{n - 1}[/tex]

By definition:

A geometric sequence is represented as

[tex]F(n) = ar^{n-1}[/tex]

Where, the common ratio is r

By comparison and using the above as a guide, we have the following:

r = 4/5

Hence, the common ratio of the sequence is 4/5

Question

A sequence is defined by F(n) = 45 • (4/5) ^n-1.

What is its common ratio

write 7/128 as a percentage​

Answers

Answer:

0.0546875 or if we are rounding 5.47%

Step-by-step explanation:

Answer:

5.46875%

Step-by-step explanation:

To answer this, we need to find 7 divided by 128. Using a calculator, we find that it is 0.0546875. To convert a decimal to a percentage, multiply the number by 100 and put a percent sign next to it. We get 5.46875%.

Idk how to answer this question

Answers

Answer:

It's z^11

Step-by-step explanation:

To multiply exponents with the same base (z), you add the exponents so in this case you add 5 and 6 to get z^11

Answer:

[tex]z^{11}[/tex]

Step-by-step explanation:

[tex]z^{a} *z^{b}= z^{a+b} \\z^{5} *z^{6}= z^{5+6} = z^{11}[/tex]

Please Help! Determine the number of solutions to each system of equations.

Answers

The solution is

The equations with one solution is

y = 0.5x - 2  ;   y = -0.5x + 4

y = 2x + 1  ;  y = 4x + 1

The equations with no solution is

y = 0.5x + 5  ;  y = 0.5x + 1

y = -x - 3  ;  y = -x + 3

The equations with infinite number of solutions is

y = 3x + 2.5  ;  y = 3x + 2.5

y = -x - 2  ;  y = -x - 2

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

a)

y = 0.5x - 2   be equation (1)

y = -0.5x + 4   be equation (2)

On simplifying both the equations , we get

0.5x - 2 = -0.5x + 4

Adding 0.5x on both sides of the equation , we get

x - 2 = 4

Adding 2 on both sides of the equation , we get

x = 6

Substitute the value of x in equation (1) , we get

y = 1

The value of x is 6 and value of y is 1

b)

y = 0.5x + 5   be equation (1)

y = 0.5x + 1   be equation (2)

On simplifying both the equations , we get

0.5x + 5 = 0.5x + 1

Now , the equations are contradictory and there are no solution

c)

y = 2x + 1   be equation (1)

y = 4x + 1   be equation (2)

On simplifying both the equations , we get

2x + 1 = 4x + 1

Subtracting 2x on both sides of the equation , we get

2x + 1 = 1

Subtracting 1 on both sides of the equation , we get

2x = 0

x = 0

Substitute the value of x in equation (1) , we get

y = 1

Therefore , the value of x is 0 and value of y is 1

d)

y = 3x + 2.5   be equation (1)

y = 3x + 2.5   be equation (2)

On simplifying both the equations , we get

3x + 2.5 = 3x + 2.5

Therefore , the equations are similar and there are infinite number of solutions

e)

y = -x - 3   be equation (1)

y = -x + 3  be equation (2)

On simplifying both the equations , we get

-x - 3 = -x + 3

Now , the equations are contradictory and there are no solution

f)

y = -x - 2   be equation (1)

y = -x - 2   be equation (2)

On simplifying both the equations , we get

-x - 2 = -x - 2

Therefore , the equations are similar and there are infinite number of solutions

Hence , the system of equations are solved

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X² - 24x + c
Find the answer for C.

Answers

Divide the coefficient of
x
(not
x
2
) by 2, and then square that.
c
=
144
.
Explanation:
Divide the coefficient of
x
(not
x
2
) by 2, and then square that.
So for
x
2

24
x
, dividing

24
by
2
gets us

12
.
Squaring

12
gets us
144
,
So
c
=
144
.
In general:
Consider the factoring identity

(
x

a
)
2
=
x
2

2
a
x
+
a
2
If we only have the middle term,

2
a
x
, then dividing the middle term by
2
x
gets us


2
a
x
2
x
=

a
(If we only take the coefficient on
x
, we do not have to divide by
x
.)
Then if we square that, we get

(

a
)
2
=
a
2
So as you can see, taking the coefficient on
x
, dividing it by
2
, and then squaring it will get us the magic constant that lets us complete the square.

Answer:

[tex]c=-x^{2} +24x[/tex]

Step-by-step explanation:

Subtract on both sides to isolate c.

[tex]x^{2} -24x+c\\x^{2} -24+c-c=-c\\x^{2} -24+0=-c\\x^{2} -24x=-c\\-c=x^{2} -24x[/tex]

Have c be in positive form.

[tex]-c=x^{2} -24x\\(-)(-c)=(-)(x^{2} -24x)\\c=-x^{2} +24[/tex]

A butcher shop sells ground meat in 3/4 pounds packages. If the shop has 24 pounds of meat available to sell, how many packages of ground meat are for sale ?

Answers

32 packages of ground meat are for sale

What is Division?

A division is a process of splitting a specific amount into equal parts.

Given that A butcher shop sells ground meat in 3/4 pounds packages

the shop has 24 pounds of meat available to sell,

We need to find the number of packages of ground meat are for sale .

To find this we have to divide 24 by 3/4

24/(3/4)

The denominator is multiplied to numerator by rationalising.

24×4/3

Twenty four times of fraction four by three.

32

Hence, 32 packages of ground meat are for sale

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Final answer:

There are 32 packages of ground meat for sale.

Explanation:

To find the number of packages of ground meat for sale, we need to divide the total pounds of meat available by the weight of each package.

Given that each package weighs 3÷4 pounds and the shop has 24 pounds of meat available, we can divide 24 by 3÷4 to find the number of packages.

Dividing 24 by 3÷4 is the same as multiplying 24 by the reciprocal of 3÷4, which is 4÷3. Therefore, there are 24 × (4÷3) = 32 packages of ground meat for sale.

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having some trouble helppp.

Answers

Answer:

3/5

Step-by-step explanation:

Answer:

The slope is 3/5.

Step-by-step explanation:

First remember that the formula for slope is the difference in ys / difference in xs.

m = y2 - y1 / x2 - x1

Plug in the coordinates of the two points you're given, keeping in mind that coordinates are (x,y).

m = -5 - 1 / -5 -5

m = -6 / -10

m = 6/10 = 3/5

Dr. Don offers a tutoring service for college students. He charges $40 as a fixed rate for the first hour plus $20 for each additional hour. What is the minimum and maximum number of hours of tutoring a student can get if he or she can afford to spend between $140 and $200? (Express your answer as an inequality)

Answers

Answer: 6  ≤ h ≤ 9

Step-by-step explanation:

Hi, since He charges $40 as a fixed rate for the first hour plus $20 for each additional hour, the cost of the tutoring service is equal to the fixed rate(40) plus, the product of the additional hours (h-1) and the cost per additional hour (20).

40+20(h-1)

40+20h-20

20+20h

Since a student can spend between $140 and $200, the previous expression must be greater o equal than 140, and less or equal than 200.

140≤20+20h≤200

Subtracting 20

140-20 ≤20-20+20h ≤200-20

120 ≤ 20h ≤ 180

Dividing by 20

120/20 ≤ 20h/20 ≤ 180/20

6 ≤ h ≤ 9

Final answer:

The minimum and maximum number of hours of tutoring a student can get if they can spend between $140 and $200 is 5 and 8 hours, respectively.

Explanation:

To determine the minimum and maximum number of hours of tutoring a student can get, we need to set up an inequality based on the pricing information provided. Let's denote the number of additional hours beyond the first hour as x.

The total cost of tutoring will be $40 for the first hour plus $20x for each additional hour. The student can afford to spend between $140 and $200, so the inequality is:
140 ≤ 40 + 20x ≤ 200

To find the solution, we need to isolate x. First, subtract 40 from all parts of the inequality:
100 ≤ 20x ≤ 160

Next, divide all parts of the inequality by 20:
5 ≤ x ≤ 8

Therefore, the minimum number of hours is 5 (including the first hour) and the maximum number of hours is 8 (including the first hour).

Albert has £500 in his savings account. His bank offers him a fixed 5% simple interest rate per annum, for a period of 5 years. How much interest will he have earned after 5 years?

Answers

Answer:

He'll earn 125 in interest after 5 years.

Step-by-step explanation:

Since it's a simple interest rate, we can use the formula to calculate the amount of interest he'll earn in those years. We have:

C = P*i*t

Where C is the amount of interest earned, P is the initial amount invested, i is the interest rate and t is the total time elapsed. For this case we have:

C = 500*0.05*5

C = 2500*0.05

C = 125

He'll earn 125 in interest after 5 years.

What is the constant of proportionality x 1 and y 0.5

Answers

Answer:

k = 0.5

Step-by-step explanation:

Constant of Proportionality is k = y/x

k = 0.5/1 = 0.5

Select the possible values for x in the equation x2 = 108.

A.
[tex] \sqrt[ 36]{3} [/tex]
B.
[tex] \sqrt{18} [/tex]

c. 54

D.
[tex] \sqrt[6]{3} [/tex]

Answers

Answer:

D. 6√3.

Step-by-step explanation:

x^2 = 108

x = +/- √108

x  =  +/- √36 * √3

x = +/- 6√3

Can someone help me please?

Answers

Answer:

64°

Step-by-step explanation:

In circle with center P, AD is diameter.

[tex] \therefore m\angle DPE + m\angle APE = 180\degree \\

\therefore (33k-9)\degree + 90\degree = 180\degree \\

\therefore (33k-9)\degree = 180\degree -90\degree \\

\therefore (33k-9)\degree = 90\degree \\

\therefore 33k-9 = 90\\

\therefore 33k= 90+9\\

\therefore 33k= 99\\

\therefore k= \frac{99}{33}\\

\therefore k=3\\

m\angle CPD = (20k +4)\degree \\

\therefore m\angle CPD = (20\times 3 +4)\degree \\

\therefore m\angle CPD =(60+4)\degree \\

\therefore m\angle CPD =64\degree \\

m\overset {\frown}{CD} = m\angle CPD\\

\therefore m\overset {\frown}{CD} = 64\degree

[/tex]

Other Questions
Clark and Phil are each running to raise money. The amount of money (y), in dollars, they each raise is based on the distance (x), in miles, they each run. Clark has an initial donation that he has received regardless of how many miles he runs. The graphs model the amount of money each will raise based on the distance they each run. What is the unit rate for the person for whom the amount of money and the number of miles are proportionally related? A)$5.00 per mile B)$7.50 per mile C)$15.00 per mile D)$30.00 per mile According to MacGregor, what was the resultof introducing Japanese prints to Westernculture?A: It encouraged Western cultures to share their art with the Japanese.B: It encouraged the Japanese to adopt European art techniques.C: It influenced European and American art.D: It encouraged Europeans to isolate themselves. Billy has a collection of baseball cards that he has separated into two different value categories. His common cardsare worth $0.50 each, while his premium cards are worth $1.00 each. Together, Billy's entire baseball card collectionof 124 cards is worth $81.50.Which of the following systems of equations models Billy's baseball card collection? Farmer and Taylor formed a partnership with capital contributions of $250,000 and $300,000, respectively. Their partnership agreement calls for Farmer to receive a $90,000 per year salary. The remaining income or loss is to be divided equally. Assuming net loss for the current year is $25,000, the journal entry to allocate the net loss is:a. Debit Income Summary, $31,000; Debit Farmer, Capital, $35,500; Credit Taylor, Capital, $66,500.b. Debit Income Summary, $31,000; Credit Farmer, Capital, $15,500; Credit Taylor, Capital, $15,500.c. Debit Taylor, Capital, $66,500; Credit Income Summary, $31,000; Credit Farmer, Capital, $35,500.d. Debit Income Summary, $31,000; DebitTaylor, Capital, $35,500; Credit Taylor, Capital, $66,500.e. Debit Income Summary, $31,000; Credit Taylor, Capital, $15,500; Credit Farmer, Capital, $15,500. Clara wants to follow a diet that is high in carbohydrates. Which type of vegetables should Clara consume The type and frequency of security awareness training is contingent on the type of user. For instance, all users might be required to attend refresher training courses on an annual basis, whereas a vendor should be required to attend outside training only as outlined in the vendor-company contract.a. Trueb. False principal: $1000, annual interest rate: 4.8%, time: 2 yr PLZ HELP!!! List three cities in East Asia that are world financial centers. Which portion of the Space Race did the United States complete before the Soviet Union?launching a manned satellitelanding a man on the moonlaunching an unmanned satellitelanding a man on mars please help me ASAP !! The absorbance features observed in the visible spectrum for curcumin is a result of an allowed optical excitation of an electron from the -HOMO to the *-LUMO. What is the energy change for this electronic excitation based on the spectrum? (Hint: Energy and wavelength are related by the equation E = hc/.) h = 4.136 10-15 eV s c = 2.998 108 m/s Ware Co. produces and sells motorcycle parts. On the first day of its fiscal year, Ware issued $35,000,000 of five-year, 12% bonds at a market (effective) interest rate of 10%, with interest payable semiannually. Compute the following, presenting figures used in your computations: a. The amount of cash proceeds from the sale of the bonds. Use the tables of present values in Exhibit 5 and Exhibit 7. Round to the nearest dollar. $ b. The amount of premium to be amortized for the first semiannual interest payment period, using the interest method. Round to the nearest dollar. $ c. The amount of premium to be amortized for the second semiannual interest payment period, using the interest method. Round to the nearest dollar. $ d. The amount of the bond interest expense for the first year. Round to the nearest dollar. A study is conducted to determine whether sunshine affects depression. Eight individuals are given a questionnaire measuring depression immediately following a run of 10 consecutive days when the sun shone for over 80% of the daylight hours. The same individuals have their depression measured immediately following 10 consecutive days without any sunshine. The following data are collected. The higher the score the greater the depression.Individuals 1 2 3 4 5 6 7 8Sunshine 10 12 14 11 12 10 14 15No Sunshine 20 21 17 14 18 8 18 14Using the Wilcoxon signed ranks test to evaluate the data, with a = 0.052 tail, Tcrit =a.- 3c.33b.3d.4 You mix sodium metal with nitric acid. What salt is produced? Natalie, an American student studying abroad in Taiwan, is at a restaurant when she sees a waitress drop a tray of drinks and then giggle. Natalie finds this reaction odd. This incident is not a sign that the waitress thinks mistakes are funny, but it is instead an example of cross-cultural differences, relayed by:_________. Opisz wasnymi sowami, jak przeprowadzk do nowego domu ocenia narratorka tekstu. prosz potrzebuj szubko Which of the following fundamental responsibilities is not correct? a. The controller notifies the business reporting department of various adjusting entries b. Adjusted trial balance figures are sent from the business reporting department to the financial reporting officer c. The treasurer notifies the business reporting department of investing and financing transaction activities d. Detailed reporting of daily production is sent to the president Like other osmoregulatory animals that live in marine environments, sharks maintain tissue concentrations of sodium, potassium, and chloride that are hypoosmotic to the seawater. In contrast to the bony marine fishes, however, sharks do not need to drink seawater. Why Since Jack's forced retirement, he has experienced overwhelming sadness and has withdrawn from his friends and family. He has gained twenty pounds and has been sleeping much more than usual. Most noticeably, he is no longer interested in participating in his life-long hobby of playing several rounds of golf each week. Most likely, Jack is experiencing ____. Read the excerpt from part 2 of "Flowers for Algernon."Dr. Nemur appears to be uncomfortable around me. Sometimes when I try to talk to him, he just looks at me strangely and turns away. I was angry at first when Dr. Strauss told me I was giving Dr. Nemur an inferiority complex. I thought he was mocking me and Im oversensitive at being made fun of.What does this excerpt tell the reader about Charlie?He is relieved that the doctors understand him.He takes pleasure in mocking others.He is concerned about how he appears to others.He is worried about losing his intelligence.