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3 years ago

12

What is the height of the 8 stacks

1 answer:

Vlad1618 [11]3 years ago

5 0

Okay so to find volume of an object, it's "length×height×width/breadth".

Volume= length×height×width

V = l × h × w

In this case, you're sort of going backwards, trying to find the height.

So input the info you have:

10 (2)/(3) = 1 (1)/(3) × 4 × height

Multiply...

10 (2)/(3) = 5 (1)/(3) × h

Move them by using the simple algebra rules

10 (2)/(3) ÷ 5 (1)/(3) = h

2 cubic feet = height

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2 years ago

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2 years ago

Write the slip-intercept form of the equation of the line described

kompoz [17]

Answer:

1) y=⅚x -2⅓

2) y=8/3x -5

Step-by-step explanation:

<u>Point-slope form:</u>

y=mx+c, where m is the gradient and c is the y-intercept.

Parallel lines have the same gradient.

Gradient of given line= $\frac{5}{6}$

Thus, m=⅚

Susbt. m=⅚ into the equation,

y= ⅚x +c

Since the line passes through the point (4, 1), (4, 1) must satisfy the equation. Thus, substitute (4, 1) into the equation to find c.

When x=4, y=1,

1= ⅚(4) +c

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Thus the equation of the line is $y = \frac{5}{6} x - 2 \frac{1}{3}$ .

The gradients of perpendicular lines= -1.

Gradient of given line= -⅜

-⅜(gradient of line)= -1

gradient of line

= -1 ÷ (-⅜)

= -1 ×(-8/3)

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$3 = \frac{8}{3} (3) + c \\ 3 = 8 + c \\ c = 3 - 8 \\ c = - 5$

Thus the equation of the line is $y = \frac{8}{3} x - 5$ .

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