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 35° angle of elevation.
Approximately how far apart are the buildings? Round to the nearest foot.

Answers

Answer 1

The distance between the two buildings is 844.23 feet apart, we go this answer by simply applying the SOH CAH TOA method

Trigonometry

Given Data

Height of Building A (Opp) = 400 feetAngle of Elevation θ = 35° Distance between the buildings Adj = ??

Applying the SOH CAH TOA Approach we have

Tan  θ = Opp/Adj

Substituting our given data we have

Tan 35 = 400/x

0.4738 = 400/x

make x subject of the formula we have

x = 400/0.4738

x = 844.23 feet

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Answer: it equals 11.42

Step-by-step explanation:

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11.42

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Step-by-step explanation:

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2 5 and 1 5 can go into 10
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Exact Form:
28/9
Decimal Form:
3.1
Mixed Number Form:
3 1/9

Which statements accurately describe the triangles? Check all that apply.
The common ratio between the triangles is because
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The common radio between the langles is 2.5 because -25,
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The ratio of the side lengths are consistent

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Answer:

the ratio of the side lengths are consistent

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Answer:

a

Step-by-step explanation:

3.
The height of a triangle is 4 inches shorter
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Answers

Answer:

Base is equal to 22

Hight is equal to 18

Step-by-step explanation:

Because 22 × 18 ÷ 2 is equal to 198

Formula

Hight × base ÷ 2

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Answer:

A

Step-by-step explanation:

calculate 20% of $88

[tex]\frac{20}{100}[/tex] × $88 = 0.2 × $88 = $17.60

Let f(x)=4x^2-3 and g(x)=-x^2+2.Find f+g and state the domain. Then evaluate the sum when x=2

Answers

Answer:

f+g = 3x^2-1. domain = all real numbers. then plug in two wherever there is an x.

f(x)=4*2^2-3, which equals 13

g(x)= -2^2+2, which equals -2

add

f+g when x=2 is 11

Step-by-step explanation:

Chris wants to create a rectangular rose garden in his yard. He has 40 meters of garden fencing to go around the garden and he has to use it all. Pick two different ways in which he could construct the garden.

Answers

Answer:

Dimension 1 = 12 x 8

Dimension 2 = 14 x 6

Chris should choose Dimension 1

Step-by-step explanation:

Perimeter of a rectangle = 2 × width + 2 × length

                                         = 2(width + length)

Given:

perimeter = 40m

⇒ 40 = 2(width + length)

⇒ width + length = 20 m

Therefore, possible dimensions:

Dimension 1 = 12 x 8  (as 12 + 8 = 20)Dimension 2 = 14 x 6  (as 14 + 6 = 20)

We need to calculate the area of both choices.  The choice with the greatest area will allow the most vegetables to be planted.

Area of Dimension 1 = 12 x 8 = 96 m²Area of Dimension 2 = 14 x 6 = 84 m²

Therefore, Chris should choose Dimension 1 (12 x 8).

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What value of p makes the equation true?

Answers

Answer:

1/8

Step-by-step explanation:

●●○•°°°□□●○○○○○••••

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Answer:

1.25

Step-by-step explanation:

Which of the following represent lengths of the sides of a
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Answers

B and D because 8^2+15^2=17^2 and 5^2+12^2=13^2

Error Analysis Your friend says that the volume of this sphere is 44.58
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Answers

Answer:

the given dimension was used as the radius5.57 m³

Step-by-step explanation:

The volume of a sphere can be found using the formula ...

  V = 4/3πr³ . . . . . where r is the radius

__

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This agrees with your friend's volume, suggesting the diameter was used in place of the radius in the computation.

__

The correct volume, using 2.2 m as the diameter, is ...

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help me please if you know it​

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93/150 would be the final answer

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

15 are female. 10 must be male.

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Answers

Answer:

the answer is 4,800 dollars

Step-by-step explanation:

Interest is amount added for time. In this case, every dollar borrowed will require 1.04 back. This may not seem like much, but it leads to a lot. Multiplying 120,000 by .04, which is 4 % in decimal form, will give you 4,800 dollars.

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Answers

Divide total made by total hours:


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Answer:

See below.

Step-by-step explanation:

Divide the amount of money by the time.

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Answers

It takes the diver 5 s to reach the water.

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These are mathematical equations in which the highest power of the unknown is 2 and in factored form are written as f(x) = (x -a)(x - b)

Since the Olympic divers height in feet above the water can be modeled by the function f(x) = -2(x-5)(x+1), where x is the time in seconds after he begins the dive.

The diver reaches the top of the water when f(x) = 0.

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Hal is going over the credit scores he received from the three major credit bureaus. He Experian score is 711, his Equifax score is 736, and his TransUnion score is 736. What is the mode of Hal’s credit scores? (Round to the nearest whole point, if applicable. ) a. 736 b. 728 c. 723 d. There is no mode in this group.

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The Halls credit score is 2186.

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his trans union score =736

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Hals credit score = sum of all score.

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Heads or Tails

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answers

Answer:

The solution is x = 2

Step-by-step explanation:

i) 3x+2y=4

ii) 2x-y=5

Let's isolate y for the second equation

2x-y=5

2x-5 = y

y = 2x-5

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Answers

Answer: 452.16ft²

Area = πr².
Area = 3.14 × 12²
Area = 3.14 × 144
Area = 452.16ft²

Answer:

Its 452.16

Step-by-step explanation:

Because the formal is  [tex]\pi[/tex]r2

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Answers

Answer:

Area of a Rectangle: l x w

2 x 3 = 6

Area of a Triangle:

[tex] \frac{b \times h}{2} [/tex]

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[tex] \frac{2 \times 2}{2} \\ \\ \frac{4}{2} = 2[/tex]

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