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Ber [7]
3 years ago
11

The front of a tent is an equilateral triangle with the ratio of its base, b, to its height, h, given by b/h=2/√ 3 . Which equat

ion can be used to find the tent's height?
A. h=2b/√ 3

B. h=2/b√ 3

C. h=b√ 3/2

D. h=2b√ 3
Mathematics
1 answer:
Agata [3.3K]3 years ago
3 0
Picturing the tent helps, but we can actually solve this question using simple algebra and no knowledge of triangles. 
The key is this function:
(b/h) = 2/√3  
We want to get h by itself. First, multiply both sides by h:
b = h(2/√3)       Now multiply both sides by the reciprical, (√3/2)
(√3/2) b = h

Therefore, the answer is C) h= b(√3/2)
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Answer:

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Step-by-step explanation:

Please refer to the attached image for explanations

5 0
3 years ago
Find the maximum value or minimum value for the function f(x) = 0.15(x + 1)² - 3.
il63 [147K]

Answer:

The minimum value for  f(x) = 0.15(x + 1)^2 - 3 is -3.

Step-by-step explanation:

Given function is f(x) = 0.15(x + 1)^2 - 3

We need to find the maximum value or the minimum value for the function.

Now, differentiate f(x) = 0.15(x + 1)^2 - 3  w.r.t x.

f'(x) =\frac{d}{dx}(0.15(x + 1)^2 - 3)\\f'(x)=\frac{d}{dx}(0.15(x+1)^2-\frac{d}{dx}(3)\\

f'(x)=2\times 0.15(x+1)\frac{d}{dx}(x+1)-0\\f'(x)=0.3(x+1)(1)\\f'(x)=0.3(x+1)

Now, we will equate f'(x)=0 to find critical point.

0.3(x+1)=0\\x=-1

Plug this critical point in to the function f(x) = 0.15(x + 1)^2 - 3  we get,

f(-1) = 0.15(-1 + 1)^2 - 3\\f(-1)=-3

Also, f''(x)=0.3 which is positive, We have minimum value.

So, the minimum value for  f(x) = 0.15(x + 1)^2 - 3 is -3.

7 0
3 years ago
1 foot =12 inches therefore 3 feet = what
scoundrel [369]

Answer:

36 inches

Step-by-step explanation:

Just multipy 3 by 12.

5 0
3 years ago
Based only on the information given in the diagram, which congruence
Brilliant_brown [7]

Answer:

I think B and C

Step-by-step explanation:

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5 0
3 years ago
Read 2 more answers
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181818/1000000. let me know if im wrong! <3
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2 years ago
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