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3 years ago

What percent of 88 is 132

1 answer:

8 0

$\begin{array}{ccc}88&-&100\%\\132&-&p\%\end{array}\ \ \ \ |cross\ multiply\\\\\\88p=100\cdot132\ \ \ \ |divide\ both\ sides\ by\ 88\\\\p=\frac{13200}{88}\\\\\boxed{\boxed{p=150\ (\%)}}\leftarrow answer$

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Write the equation of a line, in slope-intercept form, that has a slope of m=9 and passes through the point (4, 31) .

Zinaida [17]

Answer:

$\sf y=9x-5$

Step-by-step explanation:

$\begin{aligned}&\sf y-y_1=m(x-x_1) \\&\sf y-31=9(x-4) \\&\sf y-31=9x-36 \\&\sf y=9x-36+31 \\&\boxed{\sf y=9x-5} \end{aligned}$

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2 years ago

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3 years ago

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3 years ago

Suppose that you are headed toward a plataeu 70m high. If the angle of elevation to the top of the platau is 35 degree how far a

SIZIF [17.4K]

Answer:

The distance you are from the base of plateau = $99.97\ m\approx 100\ m$

Step-by-step explanation:

Given:

Height of plateau = 70 m

Angle of elevation to the top of plateau = 35°

To find the distance you are from the base of plateau.

We will construct a triangle ABC to model the given situation. The triangle would be a right triangle for which we know an angle and its opposite side. We need to find the adjacent side of the triangle.

We will apply trigonometric ratio to find the adjacent side.

$\tan\theta=\frac{Opposite\ Side}{Adjacent\ Side}$

where $\theta$ represents the angle of reference.

Plugging in the values from the triangle.

$\tan 35\° =\frac{BC}{AC}$

$\tan 35\° =\frac{70}{AC}$

Multiplying both sides by AC.

$AC\times \tan 35\° =AC\times \frac{70}{AC}$

$AC\times \tan 35\° =70$

Dividing both sides by $\tan 35\°$

$\frac{AC\times \tan 35\°}{\tan 35\°} =\frac{70}{\tan 35\°}$

∴ $AC=99.97\ m\approx 100\ m$

The distance you are from the base of plateau = $99.97\ m\approx 100\ m$

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3 years ago

Find the area of the figure

crimeas [40]

Try this way:
S=S₁-S₂, where S - area of the figure, S₁ - area of the triangle, S₂ - area of the quadrangle.
S=0.5*(5+2)*(5+4)-2*4=31.5-8=23.5 in.²

Answer: 23.5 in.²

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3 years ago