A regular hexagon has a perimeter of 120 m. Find its area. Leave your answer in simplest radical form.

Answers

Answer 1

To find the area of any regular shape, its formula is

(1/2) • a • p

Where a is the apothem (a line from the center of a side to the center of the shape) and p is the perimeter.

We have the perimeter: 120

Now to find the apothem. To find it, we’re going to cut any sidelength in half, and the line from that half to the center of the hexagon will form a right triangle. We know the bottom leg (where the shape is) is 10 (since 120/6 = 20, and we cut that in half). All we need is angles. To find the interior angle of any regular shape, we use

(180(n - 2))/n

Plugging in, we get 120 degrees for every side. Since we cut it in half, then the top angle of our right triangle is 60. You know what that means? We’ve just found a 30, 60, 90 triangle.

Using the laws of this special triangle, the length of the apothem is the shortest leg times sqrt(3)

So, 10sqrt(3) is your apothem.

Plug everything in!

(1/2) • a • P

(1/2) • 10sqrt(3) • 120

Your area is 600sqrt(3)

Related Questions

Solve the equation. Show all steps and work. Then check your answers (show all work). Finally, write the solution set.
x+1=√9x-11

Answers

Hello,
[tex]x+1=\sqrt{9x-11}\\ (x+1)^2=9x-11\\\ x²+2x+1-9x+11=0\\ x^2-7x+12=0\\ x²-4x-3x+12=0\\ x(x-4)-3(x-4)=0\\ (x-4)(x-3)=0\\ x=4\ or\ x=3 [/tex]

Sol={3,4}

(4,3) is the required solution set for the given equation

Given equation is x+1=√9x-11

Thus solving above equation for x :

[tex]x+1=\sqrt{9x-11}\\[/tex]

Squaring throughout we get,

[tex](x+1)^{2} =9x-11\\x^{2} +2x+1=9x-11\\x^2+2x-9x+1+11=0\\x^2-7x+12=0\\x^2-3x-4x+12=0\\x(x-3)-4(x-3)=0\\(x-4)(x-3)=0\\[/tex]

Thus we get :

Either (x-4) = 0 or (x-3) = 0

Thus we have x = 4 or x = 3

Hence x = 4 or x = 3 is the solution set

ASAP PLEASE:

Using your knowledge of circles, label the following on the given diagram: chord, tangent, radius, secant, point of tangency and diameter. Name a minor arc and a major arc.

Answers

Green line is diameter
Blue line is a secant
Red is radius
the top purpulish pink is tangent
the one from C to A is chord
minor arc would be AD
point of tangency is the yellow point

How do I find the holes for this function?

Answers

A "hole" is created when a factor can be crossed out of the numerator and denominator.

x^2 - x - 2 factors into (x - 2)(x + 1) both of which can be crossed out or canceled with the factors in the numerator. That creates very really tiny holes at x = 2 and x = - 1.

You need to find common factors in the equation. First, we factorise the denominator:
[tex] {x}^{2} - x - 2 \: = > (x + 1)(x - 2)[/tex]
Which leaves is with the equation:
[tex]y = \frac{(x - 5)(x + 1)(x - 2)}{(x + 1)(x - 2)} [/tex]
We can see that we have the common factors of (x+1) and (x-2), so these cancel out in the numerator and denominator:
[tex]y = \frac{(x - 5)}{1} [/tex]
a.k.a: y = x - 5
So if x+1 and x-2 cancel out, then the x values of the holes are:
x+1=0
x= -1
And
x-2=0
x= 2
Now we plug in each of these numbers into our simplified equation:
y = x - 5
y=(-1)-5
y= -6
This gives us the coordinate (-1,-6)
y = x - 5
y=(2)-5
y= -3
This gives us the coordinate (2,-3)
So the holes are at (-1,-6) and (2,3)

Can you check my answer?
Which of the following is an example of why irrational numbers are 'not' closed under addition?

√4 + √4 = 2 + 2 = 4, and 4 is not irrantonal
1/2 + 1/2 = 1, and 1 is not irrational
√10 + (-√10) = 0, and 0 is not irrational
-3 + 3 = 0, and 0 is not irrational

I was thinking:
–3 + 3 = 0, and 0 is not irrational
because it came up with a different number besides 3.,

Answers

-3+3 = 0 is an example of adding two rational numbers to get another rational number.

-3 = -3/1
3 = 3/1
0 = 0/1
each can be written as a fraction of whole numbers, so that's why they are rational

The actual answer is choice C

We are adding the square root of 10, written sqrt(10) in shorthand, to the negative version of the same number. Doing so leads to 0. This is using the property x + (-x) = 0. The left hand side of choice C has two irrational numbers. They add to 0 on the right hand side which is rational. The fact that we added two irrational numbers to get an rational result indicates that irrational numbers are not closed under addition.

All four functions below are quadratic functions. Which function has the greatest maximum value? Answer options attached in pictures. (10 points!!)

Answers

There are no pictures?

PLEASE ANSWER
This graph shows a portion of an odd function. Use the graph to complete the table of values.

Answers

Answer:

The complete table is shown below.

Step-by-step explanation:

The given function be represented by f(x).

Since, the function f(x) is an odd function.

So, [tex]f(-x)=-f(x)[/tex].

On substituting the values of x, we get,

[tex]f(-2)=-f(2)=-2[/tex]

[tex]f(-3)=-f(3)=-1[/tex]

[tex]f(-4)=-f(4)=-2[/tex]

[tex]f(-6)=-f(6)=-3[/tex]

Thus, the corresponding table is given by,

x f(x)

-2 -2

-3 -1

-4 -2

-6 -3

Answer:

x f(x)

-2 -2

-3 -1

-4 -2

-6 -3

Step-by-step explanation:

edge 2020

A kite has a height of 36 inches and a width of 30 inches. Explain how to use the area formula for a triangle to find the area of the kite.

Answers

Height of the kite is = 36 inches.

Width of the kite is = 30 inches

One of the ways to find the area is to draw a vertical line to break the kite into two equal triangles. Mark the base as 36 inches and height as 15 inches .

Now we will use the formula [tex]area=\frac{1}{2}*base*height[/tex] to find the area of each triangle. Then we will add both the areas to find the area of the kite.

Area of 1 triangle = [tex]\frac{1}{2}*36*15[/tex] = 270 square inches

Area of the 2nd triangle is also = 270 square inches

Hence, area of the kite = 270+270 = 540 square inches

The area of the kite is 540 square inches

The dimension of the rectangle is given as:

Height = 36 inches. Width = 30 inches

The area of the kite is then calculated using:

[tex]Area = \frac 12 \times (Height \times Width)[/tex]

Substitute values for Height and Width

[tex]Area = \frac 12 \times (36 \times 30)[/tex]

Evaluate the expression in bracket

[tex]Area = \frac 12 \times 1080[/tex]

Evaluate the product

[tex]Area = 540[/tex]

Hence, the area of the kite is 540 square inches

Answers

The correct answer is C) y = -4x - 2.

Answer:

C) [tex]y = -4x - 2[/tex]

Step-by-step explanation:

The general equation of a line in the xy plane is as follows:

[tex]y = mx + b[/tex]

where [tex]m[/tex] is the slope of the line, and [tex]b[/tex] is the intercept with the y axis.

In this case we want a line with a slope of -4, therefore:

[tex]m = -4[/tex]

and we also want a y-intercept of -2, so:

[tex]b = -2[/tex]

Substituting in the general equation of the straight line:

[tex]y = mx + b[/tex]

⇒[tex]y = -4x-2[/tex]

wich is option C

Maura is 5 years younger than her sister Cara. Seven years ago, Maura was half as old as her sister. How old is Maura now?

Answers

Let's call Maura's age now M and Cara's age now C.

We know Maura is five years younger than Cara. In symbols that is, M - 5 = C

We also know that 7 years ago Maura's age was half of Cara's. Maura's age 7 years ago was M-7 and Cara's age seven years ago was C-7. Since Maura's age (7 years ago) was half of Cara's we can write in symbols: [tex]M-7= \frac{1}{2}(C-7) [/tex]

Let's take that last equation and substitute C - 5 for M (this is because according to our first equation these are equal). When we do this we get an equation with only C as the variable and solve for C as follows:

[tex]M-7= \frac{1}{2}(C-7) [/tex]
[tex]C-5-7= \frac{1}{2}(C-7) [/tex]
[tex]C-12= \frac{1}{2}C-( \frac{1}{2})(7) [/tex]
[tex]C-12= .5C-3.5[/tex]
[tex].5C-12= -3.5[/tex]
[tex].5C= 8.5[/tex]
[tex]C= 17[/tex]

Cara is 17. Since Maura is 5 years younger she is 12.

As a check, seven years ago Cara was 10 and Maura was 5. It is the case that Maura was half Cara's age seven years ago.

Final answer:

To solve this problem, set up equations based on the given information. M = C - 5 and M - 7 = (C - 7) / 2. Solve the system of equations to find Maura's age (19).

Explanation:

To solve this problem, we can set up equations based on the given information. Let's let M represent Maura's age and C represent Cara's age.

The first clue tells us that Maura is 5 years younger than Cara, so we can write the equation M = C - 5.

The second clue tells us that seven years ago, Maura was half as old as Cara. So seven years ago, Maura's age was M - 7 and Cara's age was C - 7. We can write the equation M - 7 = (C - 7) / 2.

Now we can solve this system of equations to find Maura's age. Substituting the value of M from the first equation into the second equation, we get (C - 5) - 7 = (C - 7) / 2. Simplifying and solving for C, we find that Cara's current age is 24. Substituting this value back into the first equation, we find that Maura's current age is 19.

For the Transformation T, write the T^-1.

T : (x, y) (5x, 5y )
T^ -1 (x, y)

(x - 5, y - 5)
(5x - 1, 5y - 1)
(1/5x, 1/5y)

Answers

The 3rd selection is appropriate.

___
(1/5)(5x) = x, so the inverse transformation returns the original. Not so for the other choices.

Answer: The correct option is

(C) [tex]T^{-1}(x,y)\rightarrow \left(\dfrac{1}{5}x,\dfrac{1}{5}y\right).[/tex]

Step-by-step explanation: We are given a transformation T defined as :

[tex]T:(x,y)\rightarrow (5x,5y).[/tex]

We are to find the inverse transformation [tex]T^{-1}(x,y).[/tex]

From the given transformation, we have

[tex]T:(x,y)\rightarrow (5x,5y)\\\\\Rightarrow T^{-1}(5x,5y)=(x,y).[/tex]

Let us consider that

[tex]5x=z~~~~~~\Rightarrow x=\dfrac{z}{5},\\\\\\5y=t~~~~~~\Rightarrow y=\dfrac{t}{5}.[/tex]

Therefore, we get

[tex]T^{-1}(5x,5y)\rightarrow(x,y)\\\\\Rightarrow T^{-1}(z,t)\rightarrow \left(\dfrac{z}{5},\dfrac{t}{5}\right)\\\\\\\Rightarrow T^{-1}(x,y)\rightarrow \left(\dfrac{1}{5}x,\dfrac{1}{5}y\right).[/tex]

Thus, (C) is the correct option.

A manufacture of skateboards offered a 5/2/1 chain discount too many customers. Bobs sporting goods ordered 20 skateboards for a total of $625 list price. What was the net price of the skateboards?

Answers

A discount string 5/2/1 means the following:
1) Apply 5% discount to the original price.
2) Apply 2% discount to the result of step 1).
3) Apply 1% discount to the result of step 2).
We have then that the result will be given by:
625 * (0.95) * (0.98) * (0.99) = 576.05625 $
Then, the price of each skateboard is:
(576.05625) /20=28.8028125 $
Answer:
The net price of the skateboards was:
28.8028125 $

HeLp PlEasE
A triangular lawn has sides that are 8 m and 12 m long with an included angle of 51°.
What is the area of this lawn?
Enter your answer as a decimal in the box. Round only your final answer to the nearest tenth.

Answers

The formula is
.. A = (1/2)ab*sin(C)
.. = (1/2)(8 m)(12 m)sin(51°)
area ≈ 37.3 m^2

Step-by-step explanation:

what is the area of this triangle 13in 94 degrees 7.5 in

The circle above has a radius of 9 cm. What is the area of the circle?

(Use PI = 3.14)

Answers

3.14*9^2=254.469

answer: 254.469

The meaning of the area is the measurement of a surface in this case a circle, which can be find by using the formula A=πr^2, where r is equal to the radius of the circle.

On this exercise is given that the radius of the circle is 9 cm and it is asked to find its area and use 3.14 as the value of π. Therefore, to find the area of the circle you should substitute the value of the radius and the value of pi into the formula A=πr^2.

A=πr^2
A=(3.14)(9)^2
A=(3.14)(81)
A=254.34

The area of the circle is 254.34 cubic centimeters.

f(x) = 2x2 – 4x – 3

0 = 2x2 – 4x – 3

3 = 2(x2 – 2x)

3 + 1 = 2(x2 – 2x + 1)

4 = 2(x – 1)2

2 = (x – 1)2

± = x – 1

1 ± = x

Mica is solving for the zeros of a quadratic function by completing the square. Her work is shown. What error did Mica make?

ANSWER CHOICES
Mica should have set each x = 0 instead of f(x).
Mica should have added 2 to 3 instead of 1.
Mica should have multiplied both sides by 2 instead of dividing.
Mica should have subtracted 1 from both sides instead of adding.

Answers

mica should have added 2 to 3 instead of 1

Answer:

Mica should have added 2 to 3 instead of 1.

Step-by-step explanation:

f(x) = 2x^2 – 4x – 3

0 = 2x^2 – 4x – 3

Mica added 3 on boths sides and factored out 2

3 = 2(x^2 – 2x)

We have 2 outside the parenthesis , so we multiply 1 with 2 and add it one left side

3 + 1 = 2(x^2 – 2x + 1) Error in this step

The above step becomes 3 + 2 = 2(x^2 – 2x + 1)

Mica should have added 2 to 3 instead of 1.

As viewed from a cliff 340 ft above sea level a ship is 450 feet from the shore what is the angle of depression from the cliff to the ship on the water below

Answers

angle depression= angle of elevation
To get the angle of depression we use the formula:
tan x=opposite/adjacent
where x is the angle of elavation
opposite is the height of the cliff
adjacent is the distance of the ship from the shore
thus
tan x=340/450
tan x=34/45
x=arctan 34/45
x=37.07
hence the angle of elevation= angle of depression=37.1°

Factor completely, then place the answer in the proper location on the grid. a ^2 - 25b ^2

Answers

Answer:

[tex](a+5b)(a-5b)[/tex]

Step-by-step explanation:

[tex]a^2 - 25b ^2[/tex]

Factor completely

write 25 in square form , 25= 5^2

[tex]a^2 -5^2b ^2[/tex]

[tex]a^2 -(5b)^2[/tex]

Apply difference of squares formula to factor it

[tex]x^2 - y^2 = (x+y)(x-y)[/tex]

[tex]a^2 -(5b)^2[/tex]

x= a and y=5b

[tex](a+5b)(a-5b)[/tex]

99 POINTS!!!!! FAST

Which set represents the domain of the function shown?

{(−3, 6), (0, 2), (4, 7), (11, 15)}

A. {(6, −3), (2, 0), (7, 4), (15, 11)}

B. {2, 6, 7, 15}

C. {−3, 0, 4, 11}

D. {−3, 0, 2, 4, 6, 7, 11, 15}

(P.S. The 99 points were obviously fake XD)

Answers

The domain is always the number on the left - it would be C. If it helps in the future, the range is always on the right.

The Domain of the function {(−3, 6), (0, 2), (4, 7), (11, 15)} is

What is Domain of Function?

The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f(x) make up this set. A function's range is the collection of values it can take as input.

Given:

Set :{(−3, 6), (0, 2), (4, 7), (11, 15)}

So, the Domain is the input value

Domain = { -3, 0, 4, 11}

and, the range is output value

Range= {6, 2, 7, 15}

Hence, the domain is { -3, 0, 4, 11}.

Learn more about domain here:

https://brainly.com/question/28135761

#SPJ3

If Martha earns $3.25 per hour for babysitting, how much will she earn in: 1.5 hours? 2.5 hours? 3.5 hours?

Answers

IF MARTHA EARNS 3.25/HOUR FRO BABYSITTING (SHE IS UNDERPAID!)
IN 1.5 HOURS=3.25*1.5=4.88 DOLLARS
IN 2.5 HOURS=3.25*2.5=8.13 DOLLARS
IN 3.5 HOURS=3.25*3.5=11.38 DOLLARS

Martha in:

1.5 hours will make: $4.88

2.5 hours will make: $8.13

3.5 hours will make: $11.38

The museum of science in boston estimated that 64% of all visitors came from within the state. on sunday, 2,500 people attended the museum. how many attended the museum from out of state?

Answers

Percentage of visitors who come from with in the state is 64%
Percentage of visitors who come from outside will be (100-64)=36%
The total number of attendees is 2500
the total number of of people who came from outside the state will be:
36/100×2500
=900 visitors

Final answer:

First, calculate the number of attendees from within the state by multiplying the total by 64% to get 1,600 people. Subtract this from the total to find the number of out-of-state attendees, 900 people.

Explanation:

This is a problem of percentage utilization and subtraction. First, we must determine the number of in-state attendees by multiplying the total number of attendees (2500 people) by the given percentage of in-state visitors (64%).

So, 2500 people x 0.64 = 1600 people.

These are the people who attended from within the state. To find out how many visitors came from out of state, we subtract this number from the total: 2500 people - 1600 people = 900 people. Therefore, 900 people attended the museum from out of state on Sunday.

Learn more about Percentage utilization here:

https://brainly.com/question/32194476

#SPJ12

PLEASE someone help me on this
I would appreciate it.

Answers

2x-y =3
multiply by 4
8x - 4y = 12
3x +4y = 10 (unchanged equation)
------------------add
11x = 22

answer is A. the first.
first equation multiplied by 4 then sum to get 11x = 22

Choose the correct simplification of the expression (a2)3. a5 a8 a a6

Answers

your answer is the last choice

Answer:

The correct answer is A to the 6th power, A^6

Step-by-step explanation:

First, apply the exponent rule. (a^b)^c = a^bc

You would get a^2*3 (* means times) (^ means to the power)

Second refine.

You would get A^6.

The answer is A^6.

Help with this question.

Answers

Well.... I just finished Algebra II, but I hated Unit Circle..... bleh

(x,y)
(cos[theta], sin[theta])
(4,-8)
So for cos to be POSITIVE, it can only be in either Quadrant I, or Quadrant IV
Quad I = (+,+)
Quad IV = (+,-) (Our cord has a negative sin, so that is it)
So it has to be in Quad IV, that is some information.

That narrows it down to either A or B.

If you have a calculator, you can put in:

cos(-2) or cos(-2/sq rt 5) i believe.... or its either the inverse, can’t entirely remember.
Im sorry I couldn’t help you more.

The elevator in the Empire State Building can pass 80 floors in 45 seconds. How many floors can it pass in 9 seconds?

Answers

[tex]\bf \begin{array}{ccll} floors&seconds\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 80&45\\ f&9 \end{array}\implies \cfrac{80}{f}=\cfrac{45}{9}\implies \cfrac{80\cdot 9}{45}=f[/tex]

The weights, in pounds, of a group of student are as follows: 173 123 171 175 188 120 177 160 151 169 162 128 145 140 158 132 202 162 154 180 164 166 157 171 175 Determine the mean, standard deviation, and five-number summary for the data. a. Mean is 160.12; Standard deviation is 19.8. Five-number summary: min = 120, 4072-02-01-06-00_files/i0290000.jpg= 148, median = 162, 4072-02-01-06-00_files/i0290001.jpg= 174, max = 202 b. Mean is 162; Standard deviation is 19.8. Five-number summary: min = 120, 4072-02-01-06-00_files/i0290002.jpg= 148, median = 160.12, 4072-02-01-06-00_files/i0290003.jpg= 174, max = 202 c. Mean is 160.12; Standard deviation is 15.5. Five-number summary: min = 202, 4072-02-01-06-00_files/i0290004.jpg= 148, median = 160.12, 4072-02-01-06-00_files/i0290005.jpg= 174, max = 120 d. Mean is 162; Standard deviation is 15.5. Five-number summary: min = 202, 4072-02-01-06-00_files/i0290006.jpg= 148, median = 162, 4072-02-01-06-00_files/i0290007.jpg= 174, max = 120

Answers

Mean: 160.12
Standard Deviation: 19.76
Median: 162
Maximum: 202
Minimum: 120

The mean is calculated by adding all of the numbers in the data set and dividing by the number of values that were added:

173 + 123 + 171 + 175 + 188 + 120 + 177 + 160 + 151 + 169 + 162 + 128 + 145 + 140 + 158 + 132 + 202 + 162 + 154 + 180 + 164 + 166 + 157 + 171 + 175 ÷ 25 = 160.12

Standard deviation is found by calculating the mean (160.12) , and then subtracting the mean and square root result for each number. Finally, working out the mean of the squared differences and taking the square root of the final answer results in a standard deviation of 19.76. (The attached image has the formula for finding standard deviation).

Median is the number that is found in the middle when placing the numbers in order from least to greatest.

The maximum is the largest number in the data set.

The minimum is the smallest number in the data set.

Which of the following ordered pairs is a solution to y = 2x?

(3, 6)
(3, 8)
(3, 9)
(3,27)

Answers

The first option (3, 6) because 6= 3(2).

Answer:

The answer is (3, 8)

Step-by-step explanation:

so next time you try to make a exponent use ^ exsample 3^9 3 to the power of 9 anyways since the x axis or sum is 3 it is y = 2^3 multiply it so 2 x 2 x 2 = 8 so that answer is (3, 8)

if correct please crown

Which properties of equality justify steps b and d?

A. Multiplication Property of Equality; Subtraction Property of Equality

B. Subtraction Property of Equality; Division Property of Equality

C. Subtraction Property of Equality; Multiplication Property of Equality

D. Subtraction Property of Equality; Subtraction Property of Equality

Answers

C. Subtraction Property of Equality; Multiplication Property of Equality

For the first one, you are subtracting 7 from both sides (step b), to help isolate the y

since you are both subtracting, and "both sides" (meaning there is a equal sign) it is Subtraction Property of Equality.

For the second one, you are multiplying 2 from both sides (step d), to help isolate the y

since you are multiplying, and "both sides" (meaning there is a equal sign), it is Multiplication Property of Equality

hope this helps

C) Subtraction Property of Equality; Multiplication Property of Equality

- Prodixy ☕

if mnp has vertices at m (-5,-7) , N (7,-2) andcp (2,10) is mnp isoscles?

Answers

check the picture below.

now, clearly the longest side is MP, and for a triangle to be an isosceles, it has to have two equal sides, so two sides must be twins.

since MP is the longest one, that only leaves out NP and NM, are they twins?

[tex]\bf ~~~~~~~~~~~~\textit{distance between 2 points}\\\\ \begin{array}{ccccccccc} &&x_1&&y_1&&x_2&&y_2\\ % (a,b) &N&(~ 7 &,& -2~) % (c,d) &P&(~ 2 &,& 10~) \end{array}\\\\\\ % distance value d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ NP=\sqrt{[2-7]^2+[10-(-2)]^2}\implies NP=\sqrt{(2-7)^2+(10+2)^2} \\\\\\ NP=\sqrt{(-5)^2+12^2}\implies NP=\sqrt{25+144}\implies \boxed{NP=13}[/tex]

and now let's check NM

[tex]\bf ~~~~~~~~~~~~\textit{distance between 2 points}\\\\ \begin{array}{ccccccccc} &&x_1&&y_1&&x_2&&y_2\\ % (a,b) &N&(~ 7 &,& -2~) % (c,d) &M&(~ -5 &,& -7~) \end{array}~~~ \\\\\\ NM=\sqrt{[-5-7]^2+[-7-(-2)]^2}\\\\\\ NM=\sqrt{(-5-7)^2+(-7+2)^2} \\\\\\ NM=\sqrt{(-12)^2+(-5)^2}\implies NM=\sqrt{144+25}\implies \boxed{NM=13}[/tex]

My graphing program shows two of the side lengths are the same.

ΔMNP IS isosceles.

PLZ HELPP FAST
Solve the triangle. A=44 degrees, a = 7,b=8

Answers

Answer: the sides are a = 7, b = 8, c = 10.

Explanation:

1) Use the law of sines:

sin(A)         sin(B)
----------- =   --------- =>
   a                 b

2) Solve for B:

sin(B) = b * sin(A) / a = 8 * sin(44°) / 7 = 0.79389528

=> B = arcsin(0.79389528) = 52.55°

3) A + B + C = 180° => C = 180° - A - B = 180° - 44° - 52.55° = 83.45°

4) Use the law of sines again:

   sin(A)          sin(C)
------------- = -------------
      a                  c

5) Solve for c:

c = sin(C) * a / sin(A) = sin(83.45°) * 7 / sin(44°) = 10.0

Answer: a = 7, b = 8, c = 10.

name the sine, cosine, and tangent of angle a in the figure below

Answers

check the picture below.

now, we can simplify all those to

[tex]\bf cos(A)=\cfrac{24}{12\sqrt{5}}\implies \cfrac{2}{\sqrt{5}}\quad \stackrel{rationalizing~it}{\implies }\quad \cfrac{2\sqrt{5}}{5} \\\\\\ sin(A)=\cfrac{12}{12\sqrt{5}}\implies \cfrac{1}{\sqrt{5}}\quad \stackrel{rationalizing~it}{\implies }\quad\cfrac{\sqrt{5}}{5} \\\\\\ tan(A)=\cfrac{12}{24}\implies \cfrac{1}{2}[/tex]

6s - 4 = 8 (2 + 1/4s)

Answers

6s-4=8(2+1/4s)
6s-4=16+2s
-2s -2s
4s-4=16
+4 +4
4s=20
s=5

Final answer:

To solve the equation 6s - 4 = 8 (2 + 1/4s), simplify and isolate the variable 's'. The solution is s = 5.

Explanation:

To solve the equation 6s - 4 = 8 (2 + 1/4s), we need to simplify and isolate the variable 's'. First, distribute the 8 to both terms inside the parentheses:

6s - 4 = 16 + 2s

Next, move the variable terms to one side of the equation and the constant terms to the other side by subtracting 2s from both sides and adding 4 to both sides:

6s - 2s = 16 + 4

Combine like terms to simplify:

4s = 20

Finally, divide both sides by 4 to solve for 's':

s = 5

Learn more about Solving an equation

https://brainly.com/question/18322830

#SPJ2

Other Questions

The epigram in Algernons last line is used to make marriage seem easy and simple. convince Jack that marriage is unnecessary. make a critique of married life. convince Jack that his wife will be dishonest. A toy manufacturer needs a piece of plastic in the shape of a right triangle with the longer leg 1 cm more than the shorter leg and the hypotenuse 2 cm more than the shorter leg. how long should the sides of the triangle be? using these complex zeros (1,1,-1/2,2+i,2-i) factor f(x)=-2x^5 +11x^4 -22x^3 +14x^2 +4x -5 Your instructor tells you how poor your writing ability is and how wrong it is for you not to work harder on it. that instructor used the gibb category of description. evaluation. problem orientation. equality. provisionalism. Explain how burning a candle is an example of both physical and chemical changes. What should you do when an error message pops up on the screen?A.)Select okay and continue working.B.) Write down the error message and continue working.C.)Turn your computer off and let it cool before turning it back on.D.) Write down the error message and research the cause based on the message. Give three examples of how the civil war and united states industry impacted each other. in other words, what influence did the civil war have on united states industry and what influence did industry have on the war? savestylesformat instructions Midstate has averaged 1.2 inches of rain for each of the last ten months. For how many months must the Midstate average 1.6 inches of rain to bring the overall average rainfall for the period to 1.5 inches? Someone who needs a vehicle to travel to work,run daily errands, and make yearly road trips would most likely choose to do which of the following Increased activity of phosphodiesterase in a target cell would decrease its level of How are people able to live in the arid regions outside of the Nile valley?Question options:Salt is removed from seawater to create the water supply.The oases and aquifers provide water.Water from the Nile River is piped to other areas.The rain-shadow effect causes heavy rains. People with very good pitch discrimination can very quickly determine what note they are listening to. the note on the musical scale called c6 (two octaves above middlec.has a frequency of 1050 hz. some trained musicians can identify this note after hearing only 12 cycles of the wave. part a how much time does this correspond to Warren wants to build a rectangular enclosure for his animals. one side of the pen will be against the barn, so he needs no fence on that side. the other three sides will be enclosed with wire fencing. if warren has 500 feet of fencing, you can find the dimensions that maximize the area of the enclosure.a.let w be the width of the enclosure (perpendicular to the barn) and let l be the length of the enclosure (parallel to the barn). write an function for the area a of the enclosure in terms of w . (hint first write two equations with w and l anda. solve for l in one equation and substitute for l in the other). a ( w ) = 1/2wb.what width w would maximize the area? w = ftc.what is the maximum area? a = square feet A right triangle has one leg that is 17 centimeters shorter then the other. If the hypotenuse is 25 what is the length of the two legs The poem Tattoo by Gregg Shapiro takes a fictional look at which real-world issue? the controversy of allowing teens to get tattoos without parental permission the relationship between stepfathers and stepchildren in second marriages the effect of the Holocaust on the children of survivors the difficulty of forgiving ones parents for the past Which of these resources is directly used in the manufacturing of nearly everything you use? (A) air (B) soil (C) water (D) plants What is the ratio of CDs & DVDs The client has difficulty swallowing and requests the nurse to crush all the medications. the nurse notes a client prescribed an extended-release opioid requests that all medications be crushed to facilitate the administration. what information about this form of opioid presents a problem respecting the client's request? Carson has 0.21 of a dollar. How many different combinations of coins could he have? Which expression is equivalent to 1/2(2+3x6)