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3 years ago

22. The area of a triangle can be represented by the expression 14x^5 + 63x^2. If the base is 7x^2, write

Mathematics

1 answer:

kkurt [141]3 years ago

4 0

Answer:

h = 4x ^ 3 + 18

Step-by-step explanation:

The first thing you should know for this case is that the area of a triangle is given by:

A = (1/2) * (b) * (h)

Where,

b: base.

h: height.

Clearing the height we have:

h = ((2) * (A)) / (b)

Substituting the values

h = ((2) * (14x ^ 5 + 63x ^ 2)) / (7x ^ 2)

Simplifying the expression:

h = ((2) * (2x ^ 3 + 9))

h = 4x ^ 3 + 18

answer

an expression to represent its height is

h = 4x ^ 3 + 18

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Answer:

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Step-by-step explanation:

Let x represent the distance between campsite and the base of the cliff.

We have been given that Haylee hikes to the top of a 120-foot vertical cliff. From the top of the cliff, the angle of depression to her campsite is 10∘. We are asked to find the distance between campsite and the base of the cliff.

We can see that angle of depression forms a right triangle with respect to ground, cliff and campsite.

$\text{tan}=\frac{\text{Opposite}}{\text{Adjacent}}$

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