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3 years ago

What is the value of x? Enter your answer, as a decimal, in the box. ft

Mathematics

1 answer:

Lilit [14]3 years ago

6 0

Answer:

67.5 ft.

Step-by-step explanation:

Length of MA = 71.5 - 22 = 49.5 ft.

Length of BP = 97.5 - x.

So we have the equation:

22 / 49.5 = (97.5- x) / x

Cross multiply:

22x = 49.5(97.5 - x)

22x = 4826.25 - 49.5x

22x + 49.5x = 4826.25

71.5x = 4826.25

x = 4826.25/71.5

x= 67.5 ft.

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2 years ago

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Answer:

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2 years ago

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yKpoI14uk [10]

Answer:

(the relation you wrote is not correct, there may be something missing, so I will simplify the initial expression)

Here we have the equation:

$sin^4(x) + cos^4(x)$

We can rewrite this as:

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Now we can add and subtract cos^2(x)*sin^2(x) to get:

$(sin^2(x))^2 + (cos^2(x))^2 + 2*cos^2(x)*sin^2(x) - 2*cos^2(x)*sin^2(x)$

We can complete squares to get:

$(cos^2(x) + sin^2(x))^2 - 2*cos(x)^2*sin(x)^2$

and we know that:

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then:

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This is the closest expression to what you wrote.

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If we replace that, we get:

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3 years ago