What is the measure of angle C?
Enter your answer as a decimal in the box. Round only your final answer to the nearest hundredth.
°
Answers
Angle C = 10.39 degrees
Related Questions
A police officer earned $932 a week last year. What was his yearly salary?
A. $50,328
B. $49,396
C. $47,532
D. $48,464
Answers
52 week = 932 x 52 = $48 464 (Answer D)
__________________________________________
Note:
__________________________________________
1 yr = 52 wk ;
($ 932 / wk) * (52 wk) = $ 932 * 52 = $ 48, 464 ;
__________________________________________
→ which is: Answer choice: [D]: " $ 48, 464 " .
__________________________________________
Which of the following are necessary when proving that the opposite sides of a parallelogram are congruent? Check all that apply.
A. Corresponding parts of similar triangles are similar.
B. Alternate interior angles are supplementary.
C. Alternate interior angles are congruent.
D. Corresponding parts of congruent triangles are congruent.,
Answers
The opposite sides of a parallelogram can be proved congruent by joining the diagonal of the parallelogram and proving the two triangles congruent by ASA .In any parallelogram opposite sides are parallel.We prove the triangles to be congruent by taking the property of parallel lines that Alternate interior angles are congruent.
When the triangles are proved congruent the opposite sides of parallelogram can be proved equal by using the property Corresponding parts of congruent triangles are congruent.,
The options which hold true to prove opposite sides of a parallelogram are congruent are options C and D.
C. Alternate interior angles are congruent.
D. Corresponding parts of congruent triangles are congruent.,
A pile of sand is in the shape of a cone. The diameter of the sand pile is 18 feet and the height is 10 feet.
What is the volume of the sand pile?
Use 3.14 for pi.
Enter your answer as a decimal
Answers
v= 3.14 (9*9 ) * 10
=847.8
The volume of pile of sand having diameter of 18 feet and height of 10 feet is 847.8[tex]feet^{3}[/tex].
What is volume?Volume is basically the amount of something which the container can hold in its capacity or the amount of material with the help of which it is formed.
How to determine volume?It is told that the pile of sand is of cone shaped and it is having diameter 18 feet and height 10 feet. So the volume of sand pile will be
Volume=1/3π[tex]r^{2} h[/tex]
Radius=diameter/2
=18/2
=9 feet
Volume=1/3*3.14*[tex]9^{2}[/tex]*10
=1/3*3.14*81*10
=254.34/3
=847.8 [tex]feet^{3}[/tex]
Hence the volume of the sand pile of diameter 18 feet and height 10 feet is 847.8 [tex]feet^{3}[/tex].
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The graph shown is the graph of which function?
Answers
Answer:
The function of the graph is y = f(x) = x².
Step-by-step explanation:
From the graph we have
At x = 0, y = 0
Therefore f(x) = ax + c where c = 0
At x = 1 y = 1
At x = 4 y = 2
At x = 9 y = 3
At x = 16 y = 4
Therefore the graph is of the form, y= f(x) = x²
That is the graph can be plotted with a slope given by dy/dx = 2x an an intercept of c = 0.
Values of the graph are as follows
x y
1 1
2 √2
3 √3
4 2
5 √5
6 √6
7 √7
8 2√2
9 3.
How can transposable elements promote functional genetic diversity in a population?
Insertion into a regulatory sequence may alter the strength of transcription.
Insertion into an intro may provide an alternative splice site, producing a protein with a new exon.
Insertion into an mRNA strand may change the amino acid sequence produced.,
Answers
The figure was created by repeatedly reflecting triangle NMP. What is the perimeter of the figure? 36 in. 42 in. 44 in. 48 in.
Answers
Answer:
Perimeter = 42 inches
Explanation:
The perimeter is the length of the outline of a shape. To find the perimeter of a rectangle or square you have to add the lengths of all the four sides. In case of any diagram or figure, we add all the outer sides of the figure to get perimeter.
Here, outer sides are :
4, 4, 4, 4, 4, 4, 4, 6, 8
Now add all the sides together.
Permeter = 4 + 4 + 4 + 4 + 4 + 4 + 4 + 6 + 8 = 42 inches.
Final answer is 42 inches
Answer:
42 inches
Step-by-step explanation:
In the figure, TU is tangent to the circle at point U. Use the figure to answer the questions.
(a) Describe the relationship among the lengths of the segments formed by the secant, RT, and the tangent segment, TU. You may used words and/or an equation.
(b) Suppose RT = 9 in. and ST = 4 in. Is it possible to find the length of TU? If so, show how to find the length. If not, explain why not.
Thanks in advance. I appreciate the help. I'm still not that good at questions like this one.
Answers
[tex]rs \times st = tu {}^{2} [/tex]
(b)
yes it is possible the formula is in part a, but we're given just the side rt and st, not rs, but not to worry we can get rs with subtraction. we can do 9-4=5 for rs. now we can plug in our values to find tu
[tex]5 \times 4 = tu {}^{2} [/tex]
simplify with algebra
[tex] \sqrt{20} = tu[/tex]
FINAL ANSWER
[tex]2 \sqrt{5} = tu[/tex]
The lengths of segments in the circle are determined by the tangent-secant theorem. Given RT = 9 inches and ST = 4 inches, we can use this theorem to find that TU will be approximately 8.06 inches.
Explanation:In this complex geometry problem involving circles and tangents, there are several relationships at play. You're looking at a circle that has a secant, RT, and a tangent, TU, creating several segments within the figure.
(a) According to the tangent-secant theorem, the squared length of the tangent segment is equal to the difference in the squared lengths of the entire secant and its external part. This can be expressed mathematically as TU² = RT² - ST².
(b) We can use this theorem with the given lengths for RT and ST to find the length of TU. Plugging in, we get TU² = 9² - 4² = 65. The length of TU is the square root of this, which is approximately 8.06 inches.
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Where is tge vertex of the graph of y=-x^2
Answers
Please help asap!!! 13 points!
Answers
-3(0) +9y = 18 = 9y = 18 = 18 ÷ 9 = 2 = y intercept
-3x + 9(0) = 18 = -3x = 18 = 18 ÷ -3 = -6 = x intercept
the answer would be D
what is the image of n for a 144° counterclockwise rotation about the center of the regular pentagon
A. A
B. E
C. P
D. T
Answers
144 is two fifths of 360 so for a pentagon, it would cause the point to shift two places
Answer:
The correct option is C. The image of N for a 144° counterclockwise rotation about the center is P.
Step-by-step explanation:
The number of vertices of a regular pentagon is 5.
The central angle between two consecutive vertices is
[tex]\frac{360}{5}=72[/tex]
It means the central angle between two consecutive vertices is 72 degrees.
We have to find the image of N for a 144° counterclockwise rotation about the center.
If pentagon rotates 72 degree counterclockwise rotation about the center, then the image of N is E.
If pentagon rotates (72+72) degree counterclockwise rotation about the center, then the image of N is P.
The image of N for a 144° counterclockwise rotation about the center is P.
Therefore the correct option is C.
ALGEBRA 2 FOR JIMTHOMPSON!
Answers
(a) Let x be the variable. The variable will stand for the number of additional minutes used (in addition to the minutes built into the default plan). For example, if x = 10, then Allegra used 10 additional minutes on top of what her plan allows. If x = 0, then Allegra simply pays the $65 without any extra charge.
(b) The equation is 0.10x+65 = 73.40; the 65 represents the fixed cost of 65 dollars per month regardless of how many additional minutes you use. Then you add on 0.10x on top of that to get the total 0.10x+65, which is set equal to 73.40 as this is the given bill for this particular month.
(c) Solve the equation from part (b) to get...
0.10x+65 = 73.40
0.10x+65-65 = 73.40-65
0.10x = 8.40
0.10x/0.10 = 8.40/0.10
x = 84
(d) Allegra used 84 additional minutes as this is the solution to the equation mentioned in part (b) and solved in part (c). To check the answer, simply replace x with that value
0.10x+65 = 73.40
0.10x*84+65 = 73.40
8.4+65 = 73.40
73.40 = 73.40
The answer checks out
====================================
Problem 2
P = principal (amount deposited)
i = interest only
r = interest rate in decimal form
t = time in years
We are given the following:
i = 2800
r = 0.04 (decimal version of 4%)
t = 3.5
and we want to solve for P
i = P*r*t
2800 = P*0.04*3.5
2800 = P*0.14
2800 = 0.14P
2800/0.14 = 0.14P/0.14
20000 = P
P = 20000
Andrea should deposit $20,000 into the account (to earn $2,800 after 3.5 years; where the interest rate is 4%)
====================================
Problem 3
|4x-8| - 3x = 6x+2
|4x-8| - 3x+3x = 6x+2+3x
|4x-8| = 9x+2
4x-8 = 9x+2 or 4x-8 = -(9x+2)
4x-8 = 9x+2 or 4x-8 = -9x-2
9x-4x = -8-2 or 9x+4x = -2+8
5x = -10 or 13x = 6
x = -10/5 or x = 6/13
x = -2 or x = 6/13
The two possible solutions are:
x = -2 or x = 6/13
However, x = -2 does not work since
|4x-8| - 3x = 6x+2
|4(-2)-8| - 3(-2) = 6(-2)+2
|-8-8| + 6 = -12+2
|-16| + 6 = -10
16 + 6 = -10
22 = -10
which is false
Luckily, x = 6/13 does work and I'll leave that as an exercise to have you check it.
In short, the only answer is x = 6/13
which law would you use to simplify the expression (x^4)^9?
Answers
Hope this helps, byeee :)
The law that will be used to simplify the expression is the law of exponents.
What are Exponents?Exponents are the powers of the base numbers.
The law of exponents will be used to simplify the expression (x⁴)⁹
According to the law of exponents,
(aⁿ )ˣ = [tex]\rm a^{xn}[/tex]
So,
(x⁴)⁹ = x³⁶
Therefore, the law that will be used to simplify the expression is the law of exponents.
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Which rational number is one-half of the way between 2 and 6.5: 2.25, 4.25, 4.5, or 4.75? And please explain.,
Answers
1. Add up the 2 numbers
2. Divide the number by 2
Midpoint of 2 and 6.5:
1) 2 + 6.5 = 8.5
2) 8.5 ÷ 2 = 4.25
Ans: The midpoint of 2 and 6.5 is 4.25
A bakery receives an order for 1600 cookies if 12 cookies are packed in each bag how many bags are needed
Answers
You get this by dividing the 1600 by 12 and rounding up.
134 bags are needed to pack all the cookies.
To solve this problem, you need to divide the total number of cookies by the number of cookies that fit in each bag.
Start with the total number of cookies:
1600 cookies.
Each bag can hold 12 cookies:
1 bag= 12 cookies
Divide the total number of cookies by the number of cookies per bag:
1600 ÷ 12.
Using division:
1600 ÷ 12
= 133.33.
Since you can't have a partial bag, you need to round up to the next whole number.
So, you will need 134 bags to pack all the cookies.
Which of the following problem types CANNOT be solved using the law of sines?
**Choose ALL that apply!!!***
A. SAA
B. SSS
C. AAA
D. SAS
E. ASA
**I'm confused :( can you please explain? thank you :)
Answers
(sin A)/a =(sinB)/b = (sinC)/c
To use the above ratios, you need at least one angle and one side and one of either an angle or a side. So SSS and AAA don't work
Answer:
B) SSS C AAA D) SAS
Step-by-step explanation:
The sine rule is used when we are given
a) Two angles and one side (SAA)
b) Two angles and included side (ASA)
Sine rule can not be used in SSS,AAA or SAS.
Among the given options sine rule can not be used in cases B) SSS C AAA D) SAS
Solve 3x - 4 ≤ 2 or 2x + 11 ≥ -1.
Answers
3x <= 6
x <= 2
2x+ 11 >= -1
2x >= -11
x >= -5.5
Solution is -5.5 =< x <= 2 .
In interval notation that is [-5.5, 2]
Answer:
[All reals]............
FUNCTIONS! HELP! Math!
Answers
As the x values go to negative infinity, the function's values go to positive infinity
Put another way, as x gets larger in the negative direction, y gets larger in the positive direction. Imagine there is a point on the blue curve that is free to move around as long as it stays on the blue curve the entire time. If you slide this point to the left, then it will eventually head upward infinitely as you move along the left-most branch.
WILL GIVE BRAINLIEST ANSWER
PLEASE HELP WITH 9 & 10
Answers
then for 10 i did 49 divided by 7 which is 7 times larger so then you do 28/7 to get 4 so that is your answer for 10 4.
9:8
10:4
1. What is the value of x? Show all of your work.
Answers
AB^2 + 6^2 = square root 117^2
AB^2 + 36 = 117
Now subtract 117 from both sides
AB^2 = 81
AB = square root 81 = 9
[tex] \sqrt{81} = 9[/tex]
Therefore AB is 9 cms.
Find the solution set. (x+9) (x+9) = 0
Answers
Answer:
The solution set is [tex]x=-9[/tex]
Step-by-step explanation:
we have
[tex](x+9)(x+9)=0[/tex]
we know that
[tex](x+9)(x+9)=x^{2}+18x+81[/tex]
so
[tex]x^{2}+18x+81=0[/tex]
The formula to solve a quadratic equation of the form [tex]ax^{2} +bx+c=0[/tex] is equal to
[tex]x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}[/tex]
in this problem we have
[tex]x^{2}+18x+81=0[/tex]
so
[tex]a=1\\b=18\\c=81[/tex]
substitute in the formula
[tex]x=\frac{-18(+/-)\sqrt{18^{2}-4(1)(81)}} {2(1)}[/tex]
[tex]x=\frac{-18(+/-)\sqrt{0}} {2}[/tex]
The radicand is equal to zero, therefore, the solution has only one real solution
[tex]x=\frac{-18} {2}=-9[/tex]
Suppose the velocities of golf swings for amateur golfers are normally distributed with a mean of 95 mph and a standard deviation of 3.9 mph.
What is the difference in velocities between a golfer whose z-score is 0 and another golfer whose z-score is −1?
1.95 mph
2.9 mph
3.9 mph
7.8 mph
Answers
the z-score is given by:
z=(x-μ)/σ
the score for golfer with z-score of 0 will be:
μ- mean
σ- standard deviation
0=(x-95)/3.9
the value of x will be
0=x-95
x=95
the score for the golfer with z-score of -1 is:
-1=(x-95)/3.9
-3.9=x-95
x=-3.9+95
x=91.1
the difference in the score of the golfers will be:
95-91.1
=3.9
the answer is C] 3.9 mph
The velocity of a 150 kg cart changes from 6.0 m/s to 14.0 m/s. What is the magnitude of the impulse that acted on it?
(Points : 1)
900 kgm/s
1,200 kgm/s
3,000 kgm/s
2,100 kgm/s
Answers
Line VW is to be drawn on the graph such that it is perpendicular to line . If the coordinates of point W are (–1, y), what is the value of y?
Y=
Answers
Since the lines are to be perpendicular, that means that their slopes must be negative reciprocals of each other.
First we find the slope of line ST. The formula for slope is:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Substituting our coordinates (using point T as point 2 and point S as point 1), we have:
[tex]m=\frac{2-0}{5--5}=\frac{2-0}{5+5}=\frac{2}{10}=\frac{1}{5}[/tex]
Since the slope of line VW must be the negative reciprocal of 1/5, it would be -5/1=-5.
The coordinates of V are (-2, 0). Using V as point 1 and W as point 2, in our slope formula for this line we have:
[tex]-5=\frac{-2-y}{0--1}=\frac{-2-y}{0+1}=\frac{-2-y}{1}=-2-y \\ \\-5=-2-y[/tex]
Add 2 to both sides:
-5+2=-2-y+2
-3=-y
Divide both sides by -1:
-3/-1=-y/-1
3=y
The value of y is 3
Further explanationSolving linear equation mean calculating the unknown variable from the equation.
Let the linear equation : y = mx + c
If we draw the above equation on Cartesian Coordinates , it will be a straight line with :
m → gradient of the line
( 0 , c ) → y - intercept
Gradient of the line could also be calculated from two arbitrary points on line ( x₁ , y₁ ) and ( x₂ , y₂ ) with the formula :
[tex]\large {\boxed {m = \frac{y_2 - y_1}{x_2 - x_1}} }[/tex]
If point ( x₁ , y₁ ) is on the line with gradient m , the equation of the line will be :
[tex]\large {\boxed {y - y_1 = m ( x - x_1 )} }[/tex]
Let us tackle the problem.
Firstly , we will calculate the gradient of the line that passes through the point S( -5 , 0 ) and T( 5 , 2 ) .
[tex]m_{ST} = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m_{ST} = \frac{2 - 0}{5 - (-5)}[/tex]
[tex]m_{ST} = \frac{2}{10}[/tex]
[tex]\large {\boxed {m_{ST} = \frac{1}{5} } }[/tex]
Next , we will calculate the gradient of the line that passes through the point V( 0 , -2 ) and W( -1 , y ) .
[tex]m_{VW} = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m_{VW} = \frac{y - (-2)}{-1 - 0}[/tex]
[tex]\large {\boxed {m_{VW} = \frac{y + 2}{-1} } }[/tex]
The conditions of the line perpendicular to each other will satisfy the following formula.
[tex]m_{ST} \times m_{VW} = -1[/tex]
[tex]\frac{1}{5} \times \frac{y + 2}{-1} = -1[/tex]
[tex]\frac{y + 2}{-5} = -1[/tex]
[tex]y + 2 = -5 \times -1[/tex]
[tex]y + 2 = 5[/tex]
[tex]y = 5 - 2[/tex]
[tex]\large {\boxed {y = 3} }[/tex]
Learn moreInfinite Number of Solutions : https://brainly.com/question/5450548System of Equations : https://brainly.com/question/1995493System of Linear equations : https://brainly.com/question/3291576Answer detailsGrade: High School
Subject: Mathematics
Chapter: Linear Equations
Keywords: Linear , Equations , 1 , Variable , Line , Gradient , Point
Please help 17 points!!!
Answers
√(10 * 8) =
√80
You prime factor 10 and 8... 10 = 2*5 and 8 = 2³
√2*5 * √2³
Let's take 2³ out of the square root. The radicand has a bigger exponent than the index (2) but you can't divide 2 by 3 so we write √2² * 2 and we can finally take out only 2²
√2*5 * 2√2 and multiply all the radicands.
2√20 and prime factor 20... 20 = 2²*5 and take 2² out
2√2² * 5 = 2*2√5 = 4√5
Answer B
Matt's Ice Cream Shoppe has 7 cups of sprinkles to use on sundaes for the rest of the day. If each sundae is served with
1/8
cup of sprinkles, how many sundaes can they serve?
Answers
Answer: Matt's Ice Cream Shoppe can serve 56 Sundaes
Hope this helps
| |
U
The number of sundaes they can serve with 7 cups of sprinkles is 56.
What is the unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given that, Matt's Ice Cream Shoppe has 7 cups of sprinkles to use on sundaes for the rest of the day.
Number of sundaes = Total quantity of sprinkles/Number of cups of sprinkles in each serving
= 7÷ 1/8
= 7×8
= 56
Therefore, the number of sundaes they can serve with 7 cups of sprinkles is 56.
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In 2000 the population of a city was 588292 people. in 2002 the population of the city increased to 599656, what is the population in 2008
Answers
((599,656 - 588,292) / 588,292) * 100 = 1.93%
Applying the rate every two years, here's what get:
2000: 588,292
2002: 599,656
2004: 611,240
2006: 623,047
2008: 635,082
Jane and Ron have combined annual gross earnings of $31,850. What is the
maximum amount they should consider spending for the purchase of a
house?
a. $79,625
b. $53,000
c. $31,850
d. $63,700
ANSWER ASAP WITH EXPLANATION
Answers
The area of a rectangular classroom is given by the trinomial 10x^2 + 3x - 4
What are the possible dimensions of the classroom? Use Factoring.
A.(5x - 4) and (2x + 1)
B.(5x - 4) and (2x - 1)
C.(5x + 4) and (2x - 1)
D.(5x + 4) and (2x + 1)
Answers
To solve this, you can factor the polynomial by grouping. There are numerous ways to do this.
If you are given a multiple choice question like this, you can use the FOIL method to test the answers until you get the correct one.
Choice C with the FOIL method.
(5x + 4)(2x - 1)
10x^2 - 5x + 8x - 4
10x^2 +3x - 4
It is correct!
A builder has 7200kg of sand.
A) write 7200 in grams
B) Give our answer in standard form,
Answers
What is the sum of the geometric series rounded to the nearest whole number?
A.4
B.0
C.2
D.3
Answers
Answer:
Option A. [tex]4[/tex]
Step-by-step explanation:
we know that
The sum of a geometric series is equal to
[tex]Sum=a(\frac{1-r^{n}}{1-r})[/tex]
where
a is the first term
r is the common ratio
n is the number of terms
In this problem we have
[tex]a=2,r=0.5,n=16[/tex]
substitute the values
[tex]Sum=2(\frac{1-0.5^{16}}{1-0.5})=4[/tex]