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2 years ago

5

Find the missing value

1 answer:

pantera1 [17]2 years ago

8 0

well, the volume of that triangular prism will just be the area of the triangle times the length.

now, what's the area of that triangular face? well, let's say it has a base of "b" and a height of 3, whilst the prism has a length of 6, Check the picture below.

$\stackrel{\textit{triangle's area}}{\cfrac{1}{2}(b)(3)}\stackrel{\textit{prism's length}}{(6)}~~ = ~~4\frac{1}{2}\implies 9b=\cfrac{9}{2}\implies b=\cfrac{9}{18}\implies b=\cfrac{1}{2}$

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3 years ago

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2 years ago

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2 years ago

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The perimeter of a rectangular garden is 38 feet. If the length is 5 feet longer than the width, find the width of the

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Answer:

Step-by-step explanation:

L and W are the length and width of the garden, respectively.

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2 years ago

Write the equation of a line perpendicular to 9x−4y=−5 that passes through the point (−9,3).

Oksana_A [137]

Answer:

4x + 9y = - 9

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

9x - 4y = - 5 ( subtract 9x from both sides )

- 4y = - 9x - 5 ( divide terms by - 4 )

y = $\frac{9}{4}$ x + $\frac{5}{4}$ ← in slope- intercept form

with slope m = $\frac{9}{4}$

Given a line with slope m then the slope of a line perpendicular to it is

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To find c substitute (- 9, 3 ) into the partial equation

3 = 4 + c ⇒ c = 3 - 4 = - 1

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4x + 9y = - 9 ← equation in standard form

3 0

2 years ago