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2 years ago

Find the length of AB

Mathematics

1 answer:

Alenkinab [10]2 years ago

8 0

AB is about 53.74 so the answer is (A)

$\sin(c) = \frac{opposite}{hypotenuse}$

$\sin(61) = \frac{47}{x}$

$(x)\sin(61) = \frac{47}{x} (x)$

$(x) \sin(61) = 47$

$\frac{(x) \sin(61) }{ \sin(61) } = \frac{47}{ \sin(61) }$

$x = \frac{47}{ \sin(61) }$

$x = 53.74$

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On a coordinate plane, 2 straight lines are shown. The first solid line has a positive slope and goes through (0, negative 2) an

ExtremeBDS [4]

Answer:

$y\geq x-2$

$x+2y$

Step-by-step explanation:

step 1

Find the equation of the first inequality

Find the equation of the first solid line

we have the ordered pairs

(0,-2) and (2,0)

Find the slope

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute the values

$m=\frac{0+2}{2-0}$

$m=\frac{2}{2}$

$m=1$

The equation in slope intercept form is equal to

$y=mx+b$

we have

$m=1$

$b=-2$ ---> the y-intercept is given

substitute

$y=x-2$

Remember that

Everything to the left of the solid line is shaded

The inequality is

$y\geq x-2$

step 2

Find the equation of the second inequality

Find the equation of the second dashed line

we have the ordered pairs

(0,2) and (4,0)

Find the slope

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute the values

$m=\frac{0-2}{4-0}$

$m=\frac{-2}{4}$

$m=-\frac{1}{2}$

The equation in slope intercept form is equal to

$y=mx+b$

we have

$m=-\frac{1}{2}$

$b=2$ ---> the y-intercept is given

substitute

$y=-\frac{1}{2}x+2$

Remember that

Everything below and to the left of the line is shaded

The inequality is

$y$

Rewrite

Multiply by 2 both sides

$2y$

$x+2y$

therefore

The system of inequalities is

$y\geq x-2$

$x+2y$

see the attached figure to better understand the problem

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Answer:

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Step-by-step explanation:

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Answer:

y is the same as 1y. so 9y + 1y = 10y

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How do you turn 1/3 into a whole number

Luda [366]

Answer:

Step-by-step explanation:

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Which is the simplified form of the expression?

Scorpion4ik [409]

Answer:

1 / q^30.

Step-by-step explanation:

[(p^2)(q^5)]^-4 * [(p^-4)(q^5)]^-2

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= 1 * q^-30.

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