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2 years ago

If AB = 10 and m_A = 20° , find AC . Round to the nearest tenth.

Mathematics

1 answer:

4vir4ik [10]2 years ago

5 0

Answer: 9.397

Step-by-step explanation: c = a·sin(C)/sin(A) = 9.39693

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What is 10 ×7 thousand in unit and standard form

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Very sure 70,000 is the answer. used a calculator

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3 years ago

The solution to 2 x 27 will be what kind of number?

mestny [16]

Answer:

A even

Step-by-step explanation:

Since we are multiplying by 2 which is an even number, the result must be even

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3 years ago

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The interior angles formed by the sides of a hexagon have measures that sum to 720 degrees. What is the measure of angle F?

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2 years ago

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2 years ago

A superhero is trying to leap over a tall building. The function f(x)=-16x^2+200x gives the superhero's height in feet as a func

Gemiola [76]

Answer:

Since $\bigtriangleup \geq 0$ , the superhero makes it over the building.

Step-by-step explanation:

The height is given by the following function:

$f(x) = -16x^{2} + 200x$

Will the superhero make it over the building?

We have to find if there is values of x for which f(x) = 612.

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

$ax^{2} + bx + c, a\neq0$ .

This polynomial has roots $x_{1}, x_{2}$ such that $ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})$ , given by the following formulas:

$x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}$

$x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}$

$\bigtriangleup = b^{2} - 4ac$

If $\bigtriangleup < 0$ , the polynomial has no solutions.

In this question:

$f(x) = -16x^{2} + 200x$

$-16x^{2} + 200x = 612$

$16x^{2} - 200x + 612 = 0$

We have to find $\bigtriangleup$

We have that $a = 16, b = -200, c = 612$ . So

$\bigtriangleup = (-200)^{2} - 4*16*612 = 832$

Since $\bigtriangleup \geq 0$ , the superhero makes it over the building.

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3 years ago