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son4ous [18]
3 years ago
9

Three boxes are shipped on a truck,. Each box has a base of 16 square feet. Two of the boxes have a height of 3 feet and one box

has a height of 5 feet. What is the total volume, in cubic feet, of the three boxes?

Mathematics
2 answers:
vodka [1.7K]3 years ago
7 0
I believe the answer is 176 cubic feet
Marina CMI [18]3 years ago
7 0

Answer:

Supposing the three boxes are in the shape of cuboid.

Area of base of each box = 16 square feet

Height of two boxes which are identical = 3 feet

Height of third box= 5 feet

Volume of Box = Area of Base × Height

Total Volume of three boxes = 16 × 3+16 ×3 +16 × 5

                             = 48 +48 +80

                              =96 +80

                            = 176 cubic feet

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Lynn paid $12.21 for ribbon. The cost per yard was $1.48.
fiasKO [112]

Answer:

$12.21 / 1.48 = 8.25

Step-by-step explanation:

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3 years ago
A baseball player running forward at 3 meters per second throws a ball with a velocity of 20 meters per second at an angle of 20
Gwar [14]

Answer:

22.8 m/s at 17.4°

Step-by-step explanation:

Horizontal component:

vₓ = 3 + 20 cos 20° = 21.8

Vertical component:

vᵧ = 0 + 20 sin 20° = 6.84

Magnitude:

v² = vₓ² + vᵧ²

v² = (21.8)² + (6.84)²

v = 22.8 m/s

Direction:

θ = atan(vᵧ / vₓ)

θ = atan(6.84 / 21.8)

θ = 17.4°

5 0
3 years ago
Read 2 more answers
Marta’s starting annual salary is $24,500. At the beginning of each new year, she receives a $2850 raise. Write a recursive form
Kobotan [32]
Given that <span>Marta’s starting annual salary is $24,500 and at the beginning of each new year, she receives a $2850 raise.</span>

<span>The recursive formula to find Marta’s salary f(n) after n years is given by

f(n) = f(n - 1) + 2,850

where f(1) = 24,500
f(2) = f(1) + 2,850 = 24,500 + 2,850 = $27,350
f(3) = f(2) + 2,850 = 27,350 + 2,850 = $30,200
f(4) = f(3) + 2,850 = 30,200 + 2,850 = $33,050
f(5) = f(4) + 2,850 = 33,050 + 2,850 = $35,900

Therefore, </span><span>Marta’s salary be after 5 years will be $38,750.</span>
7 0
3 years ago
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Find the slope of the line passing through the pairs of points and describe the line as rising, falling, horizontal or vertical.
Anna [14]

Answer:

a.\ m=2,\ \text{the line is rising}\\\\b.\ m=-\dfrac{5}{4},\ \text{the line is falling}\\\\c.\ m=0,\ \text{the line is horizontal}\\\\d.\ m\ is\ unde fined,\ \text{the line is vertical}

Step-by-step explanation:

The formula of a slope:

m=\dfrac{y_2-y_1}{x_2-x_1}

If

m > 0, then a line is rising

m < 0, then a line is falling

m = 0, then a line is horizontal

m is undefined, then a line is vertical

<h2>a.</h2>

(2, 1) and (4, 5)

m=\dfrac{5-1}{4-2}=\dfrac{4}{2}=2>0\to\text{rising}

<h2>b.</h2>

(-1, 0) and (3, -5)

m=\dfrac{-5-0}{3-(-1)}=\dfrac{-5}{4}=-\dfrac{5}{4}

<h2>c.</h2>

(2, 1) and (-3, 1)

m=\dfrac{1-1}{-3-2}=\dfrac{0}{-5}=0\to\text{horizontal}

<h2>d.</h2>

(-1, 2) and (-1, -5)

m=\dfrac{-5-2}{-1-(-1))}=\dfrac{-7}{0}\ \text{UNDEFINED}\to\text{vertical}

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ololo11 [35]
There are 500 boxes on the ship
3 0
3 years ago
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