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2 years ago

4(X+7)^2-6 i had this question on a test today

Mathematics

1 answer:

scoray [572]2 years ago

8 0

Answer:. 1/ 4(x+7)^4

Step-by-step explanation:we will get 4(x+7)^-4

So if we do the inverse , we will get

1 / 4(x+7)^4

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To estimate the height of a house Katie stood a certain distance from the house and determined that the angle of elevation to th

Nata [24]

the height of the house is $408ft$ .

<u>Step-by-step explanation:</u>

Here we have , To estimate the height of a house Katie stood a certain distance from the house and determined that the angle of elevation to the top of the house was 32 degrees. Katie then moved 200 feet closer to the house along a level street and determined the angle of elevation was 42 degrees. We need to find What is the height of the house . Let's find out:

Let y is the unknown height of the house, and x is the unknown number of feet she is standing from the house.

Distance of house from point A( initial point ) = x ft

Distance of house from point B( when she traveled 200 ft towards street = x-200 ft

Now , According to question these scenarios are of right angle triangle as

At point A

⇒ $Tan32 =\frac{Perpendicular}{Base}= \frac{y}{x}$

⇒ $Tan32 = \frac{y}{x}$

⇒ $y=x(Tan32 )$ ..................(1)

Also , At point B

⇒ $Tan42 = \frac{y}{x-200}$

⇒ $y=(x-200)(Tan42)$ ..............(2)

Equating both equations:

⇒ $(x-200)(Tan42) = x(Tan32)$

⇒ $x(Tan42-Tan32)=Tan42(200)$

⇒ $x=\frac{Tan42(200)}{(Tan42-Tan32)}$

⇒ $x=653ft$

Putting $x=653ft$ in $y=x(Tan32 )$ we get:

⇒ $y=x(Tan32 )$

⇒ $y=653(Tan32 )$

⇒ $y=408ft$

Therefore , the height of the house is $408ft$ .

4 0

2 years ago

Mr. Jordan has a gardening class he finds he has 12 1/2 pounds of soil for a project. The project requires 7/10 per project. How

frosja888 [35]

Answer:

11.8

Step-by-step explanation:

I think it is subtracting fractions.

First you turn the fractions into decimals then subtract it. After, you turn the decimal to a fraction but i am having a hard time doing that... the decimals by the way is 12.5 and 0.7 according to converters

4 0

2 years ago

Read 2 more answers

Roger has 120 peanuts. He saves 48 for himself. He divides the rest equally among 8 friends. He wants to find how many peanuts e

Akimi4 [234]

Answer:

A and E MARK BRAINLIEST!

Step-by-step explanation:

Well lets look into this question carefully ,

You should first subtract 120- 48= 72

Then 72/ 8 = 9 so we can check all that apply equations we used

A and E

3 0

2 years ago

a customer buys a diiferent book that has an original selling price of $38 the books is discounted 25% the customer must pay a 6

Nimfa-mama [501]

Answer: 30.21$
Explanation:
1. 38• 0.25(25%)=28.50
2. 28.50•0.06(6)=1.71 ( the sales taxes)
3. 28.50+1.71=30.21$
Hope this helps. If it’s correct please tell me.

7 0

2 years ago

What is the radian measure for an angle that measures 720 degrees?

Scrat [10]

Answer:

720 degrees = $\frac{\pi}{4}\ radians$ or 0.785 radians.