solve each equation for the specified variable 9wr=81 solve for w

Answers

Answer 1

Answer:

w = [tex]\frac{9}{r}[/tex]

Step-by-step explanation:

=> [tex]9wr = 81\\[/tex]

Dividing both sides by 9r

=> w = [tex]\frac{81}{9r}[/tex]

=> w = [tex]\frac{9}{r}[/tex]

Answer 2
Step by step answer

9wr=81

Divide both sides by 9 and r
9wr/9r=81/9r


W=9/r


Final answer:
W=9/r

Related Questions

Find the product.

-4x(x2+8)

PLEASE HELP!!! ASAP!!!

Answers

Answer:

[tex]-4x^3 - 32x[/tex]

Step-by-step explanation:

We can multiply -4x by both terms inside the parentheses.

[tex]-4x \cdot x^2 = -4x^3[/tex]

[tex]-4x \cdot 8 = -32x[/tex]

Hope this helped!

Answer:

-4x^3-32x

Step-by-step explanation:

-4x(x^2+8)=

-4x^3-32x

The hospital sells raffle tickets to raise funds for new medical equipment. Last year, 2000 tickets sold for $24 each. The fund-raising coordinator estimates that for every $1 decrease in price, 125 more tickets will be sold. a) What decrease in price will maximize the revenue? b) What is the price of a ticket that will maximize the revenue? c) What is the maximum revenue? PLEASE SHOW WORK, Thank you!

Answers

Answer:

a. $4.00

b. $20.00

c. $ 5000

Step-by-step explanation:

a. The given information are;

The number of tickets sold = 2000

The price of tickets sold = $24

The number extra tickets sold per decrease in price = 125

Let the number of tickets sold = y

The price of each ticket = x

Therefore, given that the fund-raising coordinator estimates that the number of tickets sold vary proportionately with the price of the ticket, we have a linear relationship of the form;

y = mx + c

Where:

m = The slope which is change in y divided by change in x

Change in y = 125

Change in x = -1

m = 125/(-1) = -125

Where the change in y = y - 2000 and change in x = x - 24

we have for a linear straight line relation;

(y - 2000)/(x - 24) = m

Which gives

y - 2000 = -125(x - 24)

y - 2000 = -125·x + 3000

y  = -125·x + 3000 + 2000 = -125·x + 5000

The revenue = Price × Quantity sold = x × y

Where y = -125·x + 5000, we have

Revenue = x×(-125·x + 5000) = -125·x² + 5000·x

The maximum revenue occur at the point where the slope of the revenue = 0, which is d(yx)/dx =d(-125·x² + 5000·x)/dx = -250·x +5000 = 0

x = -5000/(-250) = 20

Therefore, the price that gives maximum revenue = $20 which is a decrease of $24 - $20 = $4.00

b. The price that will maximize the revenue = $20

c. The quantity sold at maximum revenue = -125 × 20 + 5000 = 2500

The maximum revenue = 2500 × 20 = $5000.00

9. (09.01 LC) The graphs of f(x) and g(x) are shown below: If f(x) = (x + 7)^2, which of the following is g(x) based on the translation? (5 points)
g(x) = (x + 9)^2
g(x) = (x + 5)^2
g(x) = (x − 9)^2
g(x) = (x − 5)^2

Answers

Hey there! :)

Answer:

g(x) = (x + 9)²

Step-by-step explanation:

If we look at the graph g(x), we can see that its vertex is at (-9, 0).

Recall the transformation form of a parabola is f(x) = ±a(b(x-h))+k where (h , k) are the coordinates of the vertex. In this instance it is (-9, 0), therefore:

g(x) = (x + 9)²

What is the additive inverse of x if x equals -32

Answers

Answer:

32

Step-by-step explanation:

The additive inverse means, the opposite sign,

for example the additive inverse means -2 turns into 2.

So -32 would be 32.

Answer:

[tex]\boxed{x=32}[/tex]

Step-by-step explanation:

The additive inverse of a number is the opposite of that number.

-32 opposite is 32.

PLEASE HELP ME QUICKLY!!!!! Which ordered pair is a solution to the system of inequalities graphed here? Thanks (:

Answers

Answer:

B. (3,-1)

Step-by-step explanation:

Well we have to find the ordered pair that is in the blue.

So let’s look at all the choices.

A. (-4,2) this is on the point where both lines connect but it is not a solution.

B. (3,-1) this is in the blue so it is correct.

C. (-3,4) it is in the white so it is not correct.

D. (-2,-1) This is completely out of the blue so it it wrong.

So B. (3,-1) is the correct answer.

Having some problems with this

Answers

Answer: C) 5

Step-by-step explanation:

First let's distribute the left side of the equation.

2/3a - 9 1/3 = -3(a-3)

Then let's distribute the right side of the equation.

2/3a - 9 1/3 = -3a + 9

Then let's move all the a's to one side, and all the constants to the other.

3 2/3a = 18 1/3

Then divide both sides of the equation by 3 2/3.

a = 5

Hope it helps <3

20 POINTS!!! On the following graph F(-5)=?

Answers

Answer:

7

Step-by-step explanation:

Solve for x 4x+8=6x−1 Give your answer as an improper fraction in its simplest form.

Answers

Answer:

Step-by-step explanation:

4x+8=6x-1

-4x .  =-4x .

   8  = 2x-1

  -1+8=2x-1+1

    7=2x

7/2= 2x/2

3.5=x

The value of x will be;

⇒ x = 9/2

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ 4x + 8 = 6x - 1

Now,

Solve the expression for x as;

⇒ 4x + 8 = 6x - 1

Subtract 6x both side, we get;

⇒ 4x + 8 - 6x = 6x - 1 - 6x

⇒ - 2x + 8 = - 1

Subtract 8 both side,

⇒ - 2x = - 1 - 8

⇒ - 2x = - 9

Divide by - 2 as;

⇒ x = 9/2

Thus, The value of x will be;

⇒ x = 9/2

Learn more about the mathematical expression visit:

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If the water cooler is filled completely, can each of the 38 players have two full paper cups of water during practice? Explain. No, because there is enough water in the cooler for about 3 cups total. No, because there is enough water in the cooler for about 59 cups total. Yes, because there is enough water in the cooler for about 81 cups total. Yes, because there is enough water in the cooler for about 2,261 cups total.

Answers

Answer:

The correct answer is Yes, because there is enough water in the cooler for about 81 cups total which is C.

Step-by-step explanation:

The water available, (approximately 81 cups) is more than the number of cups required (76 cups). Therefore, option C is the correct answer.

What is the volume?

Volume is the measure of the capacity that an object holds.

Formula to find the volume of the object is Volume = Area of a base × Height.

Given that, a cylindrical cooler that has a radius of 6 inches and a height of 20 inches.

Here, volume of cylindrical cooler =πr²h

= 3.14×6²×20

= 3.14×36×20

= 2260.8 cubic inches

A cone has a dimensions diameter 4.4 inches and height 5.5 inches.

Here, volume of cup = 1/3 πr²h

= 1/3× 3.14×(4.4/2)²×5.5

= 28 cubic inches

So, number of cups = 2260.8/28

= 80.74

≈ 81

The number of cups required for each of the 38 player to have two full cups is, Cups = 38 × 2 = 76 cups

Therefore, option C is the correct answer.

To learn more about the volume visit:

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"Your question is incomplete, probably the complete question/missing part is:"

During practice, the Northwood football team drinks water from a cylindrical cooler that has a radius of 6 inches and a height of 20 inches. Players use conical paper cups, as shown below. A cone has a dimensions diameter 4.4 inches and height 5.5 inches.

If the water cooler is filled completely, can each of the 38 players have two full paper cups of water during practice? Explain 4.4 in.

A) No, because there is enough water in the cooler for about 3 cups total.

B) No, because there is enough water in the cooler for about 59 cups total 5.5 in.

C) Yes, because there is enough water in the cooler for about 81 cups total.

D) Yes, because there is enough water in the cooler for about 2,261 cups total.

Hello i need some help

Answers

Answer:

y = 2x - 1

Step-by-step explanation:

(3, 5) (5, 9)

slope = (9-5)/(5-3) = 4/2 = 2

y = mx + b

5 = 2(3) + b

-1 = b

y = 2x -1

Answer:

f(x)=2x-1; y=2x-1

Step-by-step explanation:

First we need to find the slope and to do so you use the equation [tex]\frac{y_{1} -y_{2}}{x_{1}-x_{2}}[/tex] .

Plugging in for the values we get (9-5)/(5-3)=4/2=2, which means we have a slope of 2.

Now we just have to find the y-intercept, and to do this we multiply the x-value by the slope (2) and see what we have to add to that to get the y-value.

For example, 5*2=10, 10-1=9, so -1 is our y-intercept.

This means our equation in slope-intercept form is y=2x-1 and in function form is f(x)=2x-1

HELP ME NOW PLEASEE A rectangular driveway has the dimensions shown below. Concrete costs $49.75 per square yard to pour. How much will it cost to pour concrete for the entire driveway?

Answers

Answer:

$2350.69

Step-by-step explanation:

Well first we need to find the amount of square yards and to do that we find the area.

So 15 3/4 * 3 is 47.25 yards^2.

And concrete is 49.75 per square yard so we do 49.75 * 47.25 = 2350.6875.

So it will cost about $2350.69 rounded to the nearest hundredth.

BRO THATS EXPENSIVE FOR CONCRETE.

I've got no clue how to do this.

Answers

Answer:

×-10×+21=0

FACTORIZATION of splitting the middle term

I’m really not sure what the answer to this question is, can anyone help?

Answers

Answer:

25(sqrt(2)+1)

Some explanation:

The exact form is 25*sqrt(2) + 25.

If we divide by 25, we are left with sqrt(2) + 1.

So 25(sqrt(2) + 1) is the correct answer.

Hope that helps a little!

Find the height, x, of the tree.
40°
62 ft
a) 52.02 it
b) 75.23 it
c) 21.27 it
d) 73.89 ft

Answers

Answer:

52.02 ft

Step-by-step explanation:

We can use equation tan θ = opposite/adjacent   to solve for the opposite side x.

tan40° = x / 62

62tan40° = x

x = 52.02 ft

The solution is Option A.

The height of the tree is given by x = 52.02 ft

What are trigonometric relations?

Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles

The six trigonometric functions are sin , cos , tan , cosec , sec and cot

Let the angle be θ , such that

sin θ = opposite / hypotenuse

cos θ = adjacent / hypotenuse

tan θ = opposite / adjacent

tan θ = sin θ / cos θ

cosec θ = 1/sin θ

sec θ = 1/cos θ

cot θ = 1/tan θ

Given data ,

Let the triangle be represented as ΔABC

Let the height of the triangle ABC be = x

Now , the base of the triangle ABC is BC = 62 feet

The angle of elevation is θ = 40°

Now , the height of the tree is the height of the triangle ABC and is given by the trigonometric relation ,

tan θ = opposite / adjacent

Substituting the values in the equation , we get

tan θ = x / 62

tan 40° = x / 62

Multiply by 62 on both sides of the equation , we get

x = tan 40° × 62

x = 0.83909963117 × 62

The value of x = 52.024 feet

Therefore , the value of x is 52.02 feet

Hence , The height of the tree is given by x = 52.02 ft

To learn more about trigonometric relations click :

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please help me solve

Answers

Answer:

cD /100

Step-by-step explanation:

Change the percent to a fraction

c% = c/100

Multiply by the sale

D * c/100

cD /100

)(3.5+2)(345-4)=
-
What is the answer to this question

Answers

Answer:

335.5. Is there not a symbol that goes in the middle of the two brackets?

Step-by-step explanation:

Answer:

Hello!

_____________________

(3.5+2)(345-4)= 1875.5

Step-by-step explanation: Simplify the expression.

Hope this helped you!

Multiply. 2 3/4* 4/5 Choose 1 answer: (a) 2 7/20 (b) 2 1/5 (c) 1 3/5 (d) 11/20

Answers

Answer:

[tex]\boxed{\red{ \frac{11}{5} = 2 \frac{1}{5} }}[/tex]

Answer B is correct.

Step-by-step explanation:

[tex]2 \frac{3}{4} \times \frac{4}{5} \\ \frac{11}{4} \times \frac{4}{5} \\ \frac{44}{20} \\ = \frac{11}{5} = 2 \frac{1}{5} [/tex]

Answer:

Hello!

_____________________

Exact Form: [tex]\frac{11}{5}[/tex]

Decimal Form: 2.2

Mixed Number Form: [tex]2\frac{1}{5}[/tex]

Step-by-step explanation: Simplify the expression.

So your anwser woould be ( B ) 2 1/5

Hope this helped you!

:D

​Claim: Most adults would not erase all of their personal information online if they could. A software firm survey of 604 randomly selected adults showed that 49.5​% of them would erase all of their personal information online if they could. Make a subjective estimate to decide whether the results are significantly low or significantly​ high, then state a conclusion about the original claim.

The results (ARE; ARE NOT) significantly (LOW; HIGH) so there (IS; IS NOT) sufficient evidence to support the claim that most adults would erase all their personal information online if they could.

Answers

Answer: The results ARE NOT significantly HIGH so there IS NOT sufficient evidence to support the claim that most adults would erase all their personal information online if they could.

Step-by-step explanation:

To find 49.5% of 604-

49.5 ÷ 100 = 0.495

0.495 x 604 = 298.98 = 299 (I have rounded to make the estimate easier)

When someone say MOST, it usually means more than half of the total. If I divide 604 by 2 (basically halving it) it gives me 302.

299 is close enough to 302, but even if got 302 as my first result instead of 299, it is still too less to be called MOST. Therefore,

The results ARE NOT significantly HIGH so there IS NOT sufficient evidence to support the claim that most adults would erase all their personal information online if they could.

Hope this helps :)

5x + y = 2
2x-3y = 62

Answers

Hey there! :)

Answer:

x = 4, y = -18 or (4, -18).

Step-by-step explanation:

Given:

5x + y = 2

2x - 3y = 62

We can use substitution to solve this problem. Rearrange the first equation in terms of y:

5x + y = 2 ---> y = -5x + 2

Substitute in this equation for y into the second equation:

2x - 3(-5x + 2) = 62

Distribute -3:

2x + 15x  - 6 = 62

Combine like terms:

17x - 6 = 62

Add 6 to both sides:

17x = 68

Divide both sides by 17:

x = 4.

Plug in this value for x into an equation to solve for y:

5(4) + y = 2

20 + y = 2

y = -18.

Therefore, the solutions to this system of equations are:

x = 4, y = -18 or (4, -18).

this is question is =5* 0.25

Answers

Hi

I am new here

Answer: 1.25

Step-by-step explanation: This symbol is multiplication (*) so Multiply 5 by 0.25 you will get 1.25

Hope it helps you

Answer:

Hello!

________________________

5 x 0.25 = 1 .25

Step-by-step explanation: Multiply 5 by 0.25 and you'll 1.25.

Hope this helped you!

:D

The width of a rectanglular solid is twice the height of the solid, the height of the solid is twice the length of the solid. If x is the length of the solid, what is the surface area in terms of x?

Answers

Answer:

28x^2

Step-by-step explanation:

Set variables:

Width = w

Length = x

Height = h

Set Equation:

w = 2h = 4x

h = 2x

x=x

Now that we have the terms in terms of x, we can find surface area.

We find the first three then multiply answer by 2, because there are 6 sides.

w*h -> first side

w*x -> second side

h*x -> third side

Set them in terms of x:

4x*2x = 8x^2

4x*x = 4x^2

2x*x = 2x^2

Add them and get: 14x^2

Wait, you need to multiply them by 2 and get: 28x^2

Answer: The answer is in the photo I really hope it’s right

Step-by-step explanation: I don’t need a brainly(I’m joking)

Hahahaha I know it’s not the best

solve this -3x − 7(x + 4)

Answers

Answer:

Hey there!

First, do you mean simplify? I can't solve an equation if there isn't a equal sign.  If you want me to solve this, check if you have properly typed your question- Thanks!

Here is how you should simplify:

Given expression.

-3x-7(x+4)

Distributive property.

-3x-7x-28

Combine Like Terms

-10x-28

Your final answer should be -10x-28

Hope this helps :)

━━━━━━━☆☆━━━━━━━

▹ Answer

-10x - 28

▹ Step-by-Step Explanation

-3x - 7(x + 4)

-3x - 7x - 28

-10x - 28

Hope this helps!

- CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

Christine had a six sided dice numbered from 1 to 6. she rolled it a total of 50 times. it landed on a odd number 21 times. ( A ) work out the relative frequency of the dice landing on an odd number. give you answer as a decimal. ( B ) if the dice were fair what would the theoretical probability of it landing on a odd number be give your answer as a decimal. ( C ) is the dice definitely biased or is it impossible to tell write a sentence to explain your answer get brainly plz help

Answers

A) Relative frequency is number of times an event happened over total number of events:

Answer is 21/50 = 0.42

B) On a 6 sides die, there are 3 even numbers and 3 odd numbers, so the theoretical probability of landing on odd would be 3/6 = 0.50

C) Because the die has an equal amount of chance landing on even or odd, both are 3/6, then the dice is not biased.

Which best describes the relationship between the successive terms in the sequence shown? 2.4, –4.8, 9.6, –19.2

Answers

Answer:

Geometric Sequence

Step-by-step explanation:

Since we are multiplying each successive term by common ratio r of -2, we have our sequence:

[tex]a_n = 2.4(2)^{n-1}[/tex]

Answer:

They're multiplied by -2.

Step-by-step explanation:

If we analyze the terms in the sequence, we can see that the numbers are alternating between positive and negative values. So, the terms in the sequence have to do with multiplication and division instead of addition and subtraction.

In order to find out how much each value was multiplied, we need to divide.

-4.8 / 2.4 = -48 / 24 = -2

9.6 / -4.8 = 96 / -48 = -2

-19.2 / 9.6 = -192 / 96 = -2

All of the terms appear to be multiplied by the same term: -2. So, the relationship between the successive terms in the sequence shown is that they are all multiplied by -2.

Hope this helps!

Factor 28+56t+28w28+56t+28w28, plus, 56, t, plus, 28, w to identify the equivalent expressions. Choose 2 answers:

Answers

Answer: The factorization of  [tex]28+56t+28w[/tex] [tex]=28(1+2t+w)[/tex]

The factors of [tex]28+56t+28w[/tex] are 28 and 1+2t+w.

Step-by-step explanation:

The given expression : [tex]28+56t+28w[/tex]

To factorize it, we need to find the common factor.

As 56 can be written as 2 x 28.

So, the above expression would become

[tex]28+2\times28t+28w[/tex]

Now, taking 28 as common from all the terms, we will get

[tex]28(1+2t+w)[/tex]

Thus, the factorization of  [tex]28+56t+28w[/tex] [tex]=28(1+2t+w)[/tex]

And the factors of  [tex]28+56t+28w[/tex] are 28 and 1+2t+w.

Answer:

b&d

Step-by-step explanation:

i did khan on it and got it right

Tim is investigating the relationship between the number of years since a tree was planted and the height of the tree in feet. His data are shown in the table.

Years Since Tree was Planted vs. Height of Tree
Years since tree was planted, x
Height of tree in feet, y
2
17
3
25
5
42
6
47
7
54
9
69

Using a regression calculator, what is a good prediction for the height of the tree when it is 100 years old?

A calculator screen. A 2-column table with 6 rows titled Data. Column 1 is labeled x with entries 2, 3, 5, 6, 7, 9. Column 2 is labeled y with entries 17, 25, 42, 47, 54, 69. The regression equation is y almost-equals 7.36 x + 3.08; r almost-equals 0.998.
A good prediction for the height of the tree when it is 100 years old is about 315 feet because that is what the trend line, y almost-equals 3.08 x + 7.36, produced by the regression calculator predicts.
A good prediction for the height of the tree when it is 100 years old is about 739 feet because that is what the trend line, y almost-equals 7.36 x + 3.08, produced by the regression calculator predicts.
There is not a good prediction for the height of the tree when it is 100 years old because the trend line produced by the regression calculator does not give a prediction.
There is not a good prediction for the height of the tree when it is 100 years old because the prediction given by the trend line produced by the regression calculator probably is not valid that far in the future.

Answers

Answer: There is not a good prediction for the height of the tree when it is 100 years old because the prediction given by the trend line produced by the regression calculator probably is not valid that far in the future.

Step-by-step explanation:

Years since tree was planted (x) - - - - height (y)

2 - - - - 17

3 - - - - 25

5 - - - 42

6 - - - - 47

7 - - - 54

9 - - - 69

Using a regression calculator :

The height of tree can be modeled by the equation : ŷ = 7.36X + 3.08

With y being the predicted variable; 7.36 being the slope and 3.08 as the intercept.

X is the independent variable which is used in calculating the value of y.

Predicted height when years since tree was planted(x) = 100

ŷ = 7.36X + 3.08

ŷ = 7.36(100) + 3.08

y = 736 + 3.08

y = 739.08

Forward prediction of 100 years produced by the trendline would probably give an invalid value because the trendline only models a range of 9 years prediction. However, a linear regression equation isn't the best for making prediction that far in into the future.

Answer:

D

Step-by-step explanation:

There is not a good prediction for the height of the tree when it is 100 years old because the prediction given by the trend line produced by the regression calculator probably is not valid that far in the future.

PLEASE HELP ASAP!!:

explain the answer to this as well, please :)

the difference between two numbers is 4. the sum of the smaller number and theee times the larger number is 36. what are the two numbers?

Answers

I totally typed the right answer for the wrong question sorry

7. The value of a computer has a decay factor of 0.85 per year. After 2 years, the computer is worth $1445. What was the original value of the computer?

Answers

Answer:

$64222.22

Step-by-step explanation:

If we call the original value as x, we can write:

1445 = x * (0.15)²   (Note: We write 1 - 0.85 = 0.15 and not 0.85 because 0.85 is the decay factor)

1445 = 0.0225x

x ≈ 64222.22

Answer:

$ 2000

Step-by-step explanation:

Let the original value be $ X

Decay factor = 0.85

Time = 2 years

Reduced value = $ 1445

Now,

Reduced value = original value * (decay)[tex] {}^{number \: of \: years} [/tex]

Plug the values

[tex]1445 = x \times {(0.85)}^{2} [/tex]

Evaluate the power

[tex]1445 = x \times 0.7225[/tex]

[tex]x = \frac{1445}{0.7225} [/tex]

Calculate

[tex]x = 2000[/tex]

Hope this helps...

Best regards!!

if -1 and-2 are the zeroes of the cubic polynomial x³-2x²+ax+b, then find the value of a and b​

Answers

Answer:

a = - 13, b = - 10

Step-by-step explanation:

Given that x = - 1 and x = - 2 are zeros then

f(- 1) = 0 and f(- 2) = 0, that is substituting value into the polynomial

f(- 1) = (- 1)³ - 2(- 1)² - a + b = 0 , that is

- 1 - 2 - a + b = 0

- a + b = 3 → (1)

f(- 2) = (- 2)³ - 2(- 2)² - 2a + b = 0, that is

- 8 - 8 - 2a + b = 0

- 2a + b = 16 → (2)

Multiply (1) by - 2

2a - 2b = - 6 → (3)

Add (2) and (3) term by term to eliminate a

- b = 10 ( multiply both sides by - 1 )

b = - 10

Substitute b = - 10 into (1) and evaluate for a

- a - 10 = 3 ( add 10 to both sides )

- a = 13 ( multiply both sides by - 1 )

a = - 13

PLEASE HELP ME PLEASE I NEED TO PASS. WILL MARK BRAINLIEST!!!! WILL REPORT IF COMMENTED AS AN ANSWER TO GET POINTS. I FR NEED HELP

Answers

Answer:

1. 29.44 feet.

2. 2/3.

3. 10/9.

4. 39/5.

Step-by-step explanation:

1. 34-foot ladder makes a 60 degree angle with the ground. If you visualize a 30-60-90 triangle with the ladder and the building and the ground, you can see that the hypotenuse of the triangle is 34 feet.

With 30-60-90 triangles, the short side is x, the hypotenuse is 2x, and the long side is x and the square root of 3.

If the hypotenuse is 34 feet, that must mean that the short side is 34 / 2 = 17 feet. The long side will be 17 * sqrt(3) = 17 * 1.732050808 = 29.44486373. So, the height above the ground will be about 29.44 feet.

2. Tangent of A! For this, we will use SOH CAH TOA... TOA stands for tangent: opposite over adjacent.

According to the diagram, angle A has an adjacent side of 15 units and an opposite side of 10 units. That means that tanA = 10 / 15 = 2/3.

If you want to find the measure of angle A, you can easily find the cotangent of 2/3. That is 33.69006753, or about 34 degrees.

3. The ratio should be 5 feet to 54 inches. There are 12 inches in 1 foot, so 5 feet is the same thing as 60 inches. 60 / 54 = 30 / 27 = 10/9.

4. (p + 9) / 7 = 12 / 5

5(p + 9) = 12 * 7

5p + 45 = 84

5p = 39

p = 7.8

That is the same thing as 7 and 4/5, or (35 + 4)/5 = 39/5

Really hope this helps!!

Answer to #4:a=−p2+84/p (note:the p2 is p to the exponent of 2, not p times 2)

Explanation:

Step 1:Multiply both sides by p

1/7ap+1/7p2=12

Step 2:Step 2: Add (-1)/7p^2 to both sides.

1/7ap+1/7p2+(−1/7p2)=12+(−1/7p2)1/7ap=−1/7p2+12

1/7ap=−1/7p2+12

Step 3: Divide both sides by p/7. and you get..

a=−p2+84/p

note:the p2 is p to the exponent of 2, not p times 2

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