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3 years ago

Find the value of x. please show your work

Mathematics

1 answer:

docker41 [41]3 years ago

4 0

Answer:x = 60

Step-by-step explanation:

The given triangle is an equilateral triangle. This is so because all the angles are equal. This also means that all the sides are equal.

The sum of the angles on a straight line is 180 degrees. Assuming each angle of the equilateral triangle is y degrees, it means that

y + 2x = 180

y = 180 - 2x

The sum of the angles in a triangle is 180 degrees. It means that

y + y + y = 3y = 180

This means that

3(180 - 2x) = 180

540 - 6x = 180

6x = 540 - 180 = 360

x = 360/60 = 60

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2 years ago

The graph of the function C(x) = −0.34x2 + 12x + 62 is shown. The function models the production cost, C, in thousands of dollar

Virty [35]

Answer:

0 ≤ x < 1.12 and 34.18 < x ≤ 39.87

Step-by-step explanation:

Let

x ----> is the number of tires produced, in thousands

C(x) ---> the production cost, in thousands of dollars

we have

$C(x)=-0.34x^{2} +12x+62$

This is a vertical parabola open downward (the leading coefficient is negative)

The vertex represent a maximum

The graph in the attached figure

we know that

Looking at the graph

For the interval [0,1.12) -----> $0\leq x$

The value of C(x) ----> $C(x) < 75$

That means ----> The production cost is under $75,000

For the interval (34.18,39.87] -----> $34.18 < x\leq 39.87$

The value of C(x) ----> $C(x) < 75$

That means ----> The production cost is under $75,000

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therefore

If the company wants to keep its production costs under $75,000 a reasonable domain for the constraint x is

0 ≤ x < 1.12 and 34.18 < x ≤ 39.87

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3 years ago