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3 years ago

What is the volume of a 10 ft X 5ft X 28ft box? (In cubic feet.)

Mathematics

2 answers:

anastassius [24]3 years ago

4 0

Answer:

1400 ft^3

Step-by-step explanation:

Volume of a box is given by

V = l*w*h

= 10*5*28

=1400 ft^3

Komok [63]3 years ago

4 0

Answer:

I got 1400 ft

Step-by-step explanation:

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What is the area of the figure below? A. 31.5 m B. 63 m C. 84 m D. 126 m

lapo4ka [179]

Hi! For the area of a parallelogram, we just need to multiply the base and the height. It may sound simple but the tricky part in this problem is determining which one is the height.

For a parallelogram, the height is defined as the measurement PERPENDICULAR to the base. Therefore, for this problem, we need to multiply 14 and 4.5 instead of 14 and 6.

$14*4.5=63$

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3 years ago

1. Write an equation in slope-intercept form of the line that passes through the given point and is parallel to the graph of the

Sveta_85 [38]

Answer:

#1) y = -4x + 1; #2) parallel; #3) y = -1/2x + 5/2; #4) y = 2x + 4; #5) Never

Step-by-step explanation:

#1) We want a line that passes through (1, -3) and is parallel to y = 2-4(x-1). First we simplify our equation using the distributive property:

y = 2-4(x-1) = 2-4(x) -4(-1) = 2-4x--4 = 2-4x + 4 = -4x + 6

Lines that are parallel have the same slope; this means we want a line through (1, -3) with a slope of -4. Using point-slope form,

$y-y_1=m(x-x_1)\\\\y--3=-4(x-1)\\\\y+3=-4(x)-4(-1)\\\\y+3=-4x+4\\\\y+3-3=-4x+4-3\\\\y=-4x+1$

#2) We must first write our second equation in slope-intercept form by isolating the y term:

2x+y=7

Subtract 2x from each side"

2x+y-2x = 7-2x

y = -2x+7

This means the slope is -2; the slopes are the same, so the lines are parallel.

#3) The slope of our given equation is 2. To be perpendicular, the second line must have a slope that is a negative reciprocal (flipped and opposite signs); this makes it -1/2. Using point-slope form,

$y-0=\frac{-1}{2}(x-5)\\\\y=\frac{-1}{2}(x)+\frac{-1}{2}(-5)\\\\y=\frac{-1}{2}x+\frac{5}{2}$

#4) The slope of Main Street on the diagram, found by using rise/run, is 2. This means the bike path will also have a slope of 2 in order to be parallel. The park entrance is at (0, 4). This makes the equation y = 2x+4.

#5) Two lines with the same slope are always parallel. They are never perpendicular.

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