The roof of one building is 400 feet below the roof of another building. A person standing on the lower roof sees another person standing on the higher roof at a 35o angle of elevation. Approximately how far apart are the buildings? Round to the nearest foot.

Answer:

-25

Step-by-step explanation:

This question is asking for a composite function.

Let's take this step-by-step!

[tex]f(x) = |x + 2|\\g(x) = -x^2[/tex]

(g•f)(3) means [tex]g(f(3))[/tex]

In English, this means we put 3 into f(x), and use the result for g(x).

First let's do f(x):

[tex]f(3) = |3 + 2| = |5| = 5[/tex]

The lines mean "modulus"/"absolute value" which makes any number positive

For example,

[tex]|-3| = 3[/tex]

[tex]f(3) = 5\\g(f(3)) = g(5)\\g(5) = -(5)^2 = -25[/tex]

Answer:

326.56 sq. units

Step-by-step explanation:

Calculating the slant height

Formula

Subbing in the values

Answer:

692ft3

Step-by-step explanation:

Surface area of the rectangular prism;

SA = lw(2) + wh(2) + hl(2)

SA = 15(5)(2) + 5(8)(2) + 8(15)(2)

SA = 150 + 80 + 240 =

SA = 470ft3

Surface area of the triangular prism

SA = (S1 + S2 + S3) l + bh

SA = (9 + 9 + 11) 5 + 11(7)

SA = (29) 5 + 11(7)

SA = 145 + 77

SA = 222ft3

Add both the SA's

470ft + 222ft = 692ft3

Answer:

Process

Step-by-step explanation:

I won't give the answers but i will explain the process... You can combine variables if they are similar. Example if you have 3g+2-2g-5 you can combine the numbers with g - you would have a positive 3g and a nagative 2g, 3-2 is 1g or g.. Then you can combine the positive 2 and negative 5. I hope this helps!

Answer:

9

Step-by-step explanation:

i dont know 100% but i think is 9

Answer:

So I might not be understanding, but P is at (-4,0) and Q is at (-1,-3)

Answer: 782

Step-by-step explanation

It says it made a w

Answer:

Part A: Andy is incorrect

Part B: 3/20

Step-by-step explanation:

Part A: Since Andy:

Actions dvds = 3/5

Comedy dvds = 1/4

or = Add

3/5 + 1/4

12 + 5 /20 = 17/20

Thus, it doesn't equal to 4/9.

Part B: He needed to make 3/5 = 12/20 and 1/4 = 5/20.  Adding these together would be 17/20, making 3/20 of them NOT action or comedy.  17/20 + 3/20 = 20/20 or the total.

Therefore, 3/20 of them Not action or comedy.

~lenvy~

Answer:

Step-by-step explanation:

Step-by-step explanation:

For the question question, since they are giving you the function you just need to find the input that matches the expected output (y) which will be the number of miles biked. So what numbers multiplied by 12 give you 12, 36, and 48?

You could substitute y into an algebraic function to find these values.

We'll use 36 miles as an example.

If 12x = y then

12x = 36

divide both sides by 12

x = 3

For the second question you are given the x value (number of guests) and just need to calculate y (cupcakes each guest is allowed) by dividing 30 by  the number of guests (x).

Answer: cone

Step-by-step explanation:

The bottom figure is a cylinder. A cylinder is basically a rectangle wrapped around two circles.

The top figure is a cone. A cone’s net looks like a triangle with a curved base wrapped around a circle. If you don’t believe the top figure is a cone, think about what ice cream cones look like. The top figure is a cone.

Answer:

-3

Step-by-step explanation:

-7x + 4x = 9

-3x = 9

x = 9/(-3)

Answer: (2,2)

Step-by-step explanation:

Smith's balloon is an algebraic expression

The expression that represents how many Balloons Smith has is p + 20

The given parameters are:

Small = p

Big = 20

Add the number of small and big ballons to get the total number of ballons

Total = Small + Big

This gives

Total = p + 20

Hence, the expression that represents how many Balloons Smith has is p + 20

Read more about expressions at:

https://brainly.com/question/723406

Answer:

x + 5

Step-by-step explanation:

i think

Using the binomial distribution, it is found that Sam should have expected 5 people to say yes.

The formula is:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

The expected value is given by:

E(X) = np.

In this problem:

Hence, the expected value for the number of people that say yes is given by:

E(X) = np = 15 x 0.32 = 5.

More can be learned about the binomial distribution at https://brainly.com/question/24863377

Answer:

Multiply 20%, or 1/5, times 200 to get about 40 students.

Step-by-step explanation:

You fill in the rounded numbers you got already, like the 19% to 20%, and the 205 to 200. You substitute the information into the blanks to get the answer.

I hope this helps and please mark me as brainliest!

Answer:

203° F

Step-by-step explanation:

F = 1.8C + 32

F = 1.8 × 95 + 32

F = 203

Answer:

1500-325

=1125

Step-by-step explanation:

1500 minutes minus 325 minutes is equal to 1125 minutes remaining

Answer:

9 litres

Step-by-step explanation:

the volume (V) of the tank is calculated as

V = lbh ( l is length, b is breadth , h is height )

here l = 60 cm, b = 15 cm, h = 10 cm , then

V = 60 × 15 × 10 = 9000 cm³

using the conversion 1 litre = 1000 cm³ , then

V = 9000 ÷ 1000 = 9 litres

Answer:

  9 liters

Step-by-step explanation:

It is often convenient to make use of the fact that 1 liter is 1000 cm³, or 1 dm³, where 1 dm = 10 cm. Expressing the tank dimensions in decimeters, we see they are ...

  L = 6 dm, W = 1.5 dm, H = 1.0 dm

Then the volume is ...

  V = LWH

  V = (6 dm)(1.5 dm)(1.0 dm) = 9.0 dm³ = 9 L

9 liters of water are needed to fill the empty tank.

Answer:

x is equal to 30

<ABC is equal to 100°

<DBC is equal to 80°

Step-by-step explanation:

3x +10 +2x +20 =180

5x = 180 - 10- 20

5x = 150, divide both sides by 5

x is equal to 30

<ABC = 3x + 10 = 3 × 30 + 10 = 100°

<DBC = 180 - <ABC = 180 - 100 = 80°

Answer:

If

a

b

=

c

d

=

e

f

then prove that

2a+3c-4e

2b+3d-4f

=

5a-4c+3e

5b-4d+3f

1. If

a

b

=

c

d

=

e

f

, then prove that

2a+3c-4e

2b+3d-4f

=

5a-4c+3e

5b-4d+3f

2. If

x

b2-c2

=

y

c2-a2

=

z

a2-b2

, then prove that x+y+

Step-by-step explanation:

The required proportional of 7, 3, and 98 is  42. Option B is correct.

Given that,
The fourth proportional of 7,3 and 98 is to be determined.

Proportionality is defined as between two or more sets of values, and how these values are related to each other in the sense that are they directly proportional or inversely proportional to each other.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,

Here,
let the required proportional be x,
now,
7 / 3 = 98 /x
x = 98  * 3 / 7
x = 42

Thus, the required proportional of 7, 3, and 98 is  42. Option B is correct.

Learn more about proportionality here: https://brainly.com/question/22620356

#SPJ2

Answer:

18/1

Step-by-step explanation:

Answer:

1/2. I think if I'm wrong I'm sorry

Answer:

x = 57,542.8571

Step-by-step explanation:

C(x) = 0.81x + 60,420

R(x) = 1.87x

At break even point, Cost function and revenue function becomes equal.

-> C(x) = R(x)

-> 0.81x + 60,420 = 1.87x

-> 60420 = 1.87x - 0.82x

-> 60420 = 1.05x

-> x = 60420/1.05

-> x = 57,542.8571

Thus, at break even point x = 57,542.8571

Answer:

Michelle walks 1 4 hour every day of the week (Monday through Sunday). Sandra walks 2 4 hour per day, but only on weekdays (Monday through Friday). Both Michelle and Sandra continue their routines for 9 weeks. Calculate who walked the most over this 9 week period, and calculate how much more time this person walked than the other person. Be sure to show how you calculated each person's total walking time as a mixed fraction, and show how you calculated how much more time was walked by either Michelle or Sandra as a mixed fraction. this is a word problom

Answer:

people are not doing it it's because that it's multiplying mixed numbers by whole numbers and we don't really need to do that

Step-by-step explanation:

well, we know the piece-wise function is [tex]f(x)= \begin{cases} 7x+10&x < 0\\\\ 7x+20&x\geqslant 0 \end{cases}[/tex]

hmmm so what's f(-1), namely what is f(x) when x = -1?

well, when x = -1, hmm -1 is less than 0, so the subfunction that applies to that will be when "x" is less than 0, namely the part of 7x + 10, so we can say

f(-1) = 7(-1) + 10

f(-1) = 3

so hmm what's f(0) or namely, what's f(x) when x = 0?

well, what subfunction applies when x = 0? well, it has to be the subfunction with "x greater or equals to 0", x ⩾ 0, so then is 7x + 20

f(0) = 7(0) + 20

f(0) = 20.

Answer:

Step-by-step explanation:

Isolate the term of n from one side of the equation.

First, add by 1/8 from both sides.

n-1/8+1/8=3/8+1/8

Solve.

Add the numbers from left to right.

3/8+1/8=4/8

Common factor of 4.

4/4=1

8/4=2

Rewrite as a fraction.

=1/2

n=1/2

Divide is another option.

1/2=0.5

n=1/2=0.5

I hope this helps you! Let me know if my answer is wrong or not.

Answer:

y=x/2

Step-by-step explanation:

hope u have a good day! pls give brainliest

Answer:

11 : 18

Step-by-step explanation:

to figure out number of female members (not neccessary to solve this problem)

18 members = male + female members

18 members = 11 members + female members

-11                      -11

---------------------------------------------------------------------

7 members = female members

ratio of males to all club members

11 : 18

Answer:

518,317 > 518,246 > 518,197