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3 years ago

a trapezoid with an area of 166.75 in has bases that measure 21in and 8 in find the height of the trapezoid

Mathematics

1 answer:

alisha [4.7K]3 years ago

6 0

Answer:

height = 11.5 in

Step-by-step explanation:

The area (A) of a trapezoid is calculated using the formula

A = $\frac{1}{2}$ h(a + b)

where h is the height and a, b the bases

here a = 21, b = 8 and A = 166.75, hence

$\frac{1}{2}$ h(21 + 8) = 166.75

Multiply both sides by 2 to eliminate the fraction

29h = 333.5 ( divide both sides by 29 )

h = 11.5 in

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The area of a rectangular city park is 25/54 square miles. The length of the park is 5/9 miles what is the width in the miles of

kotykmax [81]

Note that $A=lw$ , where $A$ is the area, $l$ is the length, and $w$ is the width. Substituting our values in, we have:

$\frac{5w}{9} = \frac{25}{54}$

Multiplying by $\frac{9}{5}$ gives:

$w=\frac{5}{6}$

So the width is $\frac{5}{6}$ miles.

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3 years ago

Which equation is the inverse of y = 9x2 - 4?

m_a_m_a [10]

Answer:

The inverse will be:

$y' = \frac{\sqrt{x+4}}{3}$

Step-by-step explanation:

In order to find the inverse of the equation, we do a variable change, since we are finding the inverse, :

$f(x) = 9x^{2} - 4$

$y = 9x^{2} - 4$

$x = 9y' ^{2} - 4$

Now solve for y'.

First add 4 in both sides of the equation and change to the left y'.

$x + 4= 9y'^{2} - 4+4$

$9y'^{2}$ = x + 4

Second divide by 9

$9y'^{2}$ /9 = (x + 4)/9

$y'^{2}$ = (x + 4)/9

Now you will have to clear y, with the square root.

$[tex]y'^{\frac{2}{2}} = \sqrt{x + 4} / \sqrt{9}$ [/tex] =

Simplifying terms

$y' = \frac{\sqrt{x+4}}{3}$

$f^{-1}(x) = \frac{\sqrt{x+4}}{3}$

You can check the answer by doing the evaluation of the following equation:

(f o $f^{-1}$ ) (x)

substitute the equation for y' or inverse function $f^{-1}$

f( $\frac{\sqrt{x+4} }{3}$ )

Now substitue the value into f(x)

You will have

$= 9(\frac{\sqrt{x+4} }{3}} )^{2} - 4\\\\Solving\\\\9(\frac{{x+4} }{9}} ) - 4$

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3 years ago

Triangle HIJ has vertices H(1, 7) , I(−4, −2) , and J(−3, 5) . Write the coordinate notation for a translation of 3 units right

e-lub [12.9K]

Step-by-step explanation:

(x, y) -> (x+3, y+4)

that is what 3 units to the right (3 units into the outsource x direction) and 4 units up (4 units into the posits y directing) mean.

so, all points go through this translation

(1, 7) -> (4, 11)

(-4, -2) -> (-1, 2)

(-3, 5) -> (0, 9)

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2 years ago

Please look below for the question :)

rewona [7]

Answer:

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Step-by-step explanation:

Does this help?

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3 years ago

Read 2 more answers

Solve 5x4/9. help pleeeeaaassee

Rus_ich [418]

Answer:

$\sf \: 2 \frac{2}{9}$