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alexandr402 [8]
3 years ago
7

If sin x = .52 and cos x = .85, what is cot x?

Mathematics
1 answer:
storchak [24]3 years ago
4 0
I hope this helps you cotx =cosx/sinx cotx=0,85/0,52 cotx=85/52 cotx=1,6
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Find the surface area of the triangular prism
lesya692 [45]

The surface area of the triangular prism is 1664 square inches.

Explanation:

Given that the triangular prism has a length of 20 inches and has a triangular face with a base of 24 inches and a height of 16 inches.

The other two sides of the triangle are 20 inches each.

We need to determine the surface area of the triangular prism.

The surface area of the triangular prism can be determined using the formula,

SA= bh+pl

where b is the base, h is the height, p is the perimeter and l is the length

From the given the measurements of b, h, p and l are given by

b=24 , h= 16 , l=20 and

p=20+20+24=64

Hence, substituting these values in the above formula, we get,

SA= (24\times16)+(64\times20)

Simplifying the terms, we get,

SA=384+1280

Adding the terms, we have,

SA=1664 \ square \ inches

Thus, the surface area of the triangular prism is 1664 square inches.

6 0
3 years ago
Among all pairs of numbers with a sum of 238238, find the pair whose product is maximum. Write your answers as fractions reduced
mylen [45]

Answer:

x=119119,\;\;\;y=119119

Step-by-step explanation:

Let the x be the first number, y be the second number and p be the product of the first and second number.

i.e  x+y=238238   \Rightarrow x=238238-y

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   \Rightarrow p=(238238-y)y\\\Rightarrow p=238238y-y^2

\Rightarrow \frac{dp}{dy} =238238-2y\\\Rightarrow 0=238238-2y\\\Rightarrow 2y=238238\\\Rightarrow y=119119

Now,

x=238238-119119\\\\ \Rightarrow x=119119

Hence, x=119119,\;\;\;y=119119

   

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D

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