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Margarita [4]
3 years ago
8

Eram Figure A4

Mathematics
1 answer:
arsen [322]3 years ago
8 0

Answer:

18 ft³

Step-by-step explanation:

Consider the given figure showing the steps to consists of 3 rectangle prism or cuboid.

The cubic feet of concrete necessary = sum of the volume of the 3 cuboid/rectangular prism

Volume = l*w*h

Dimension of each cuboid:

Note that 1 ft = 12 inches

First cuboid:

Length (l) = 48 in = 48/12 = 4 ft

Width (w) = 36 in = 36/12 = 3 ft

Height (h) = 9 in = 9/12 = 0.75 ft

Volume = 4*3*0.75 = 9 ft³

Second cuboid:

Length (l) = 48 in = 48/12 = 4 ft

Width (w) = 24 in = 24/12 = 2 ft

Height (h) = 9 in = 9/12 = 0.75 ft

Volume = 4*2*0.75 = 6 ft³

Third cuboid:

Length (l) = 48 in = 48/12 = 4 ft

Width (w) = 12 in = 12/12 = 1 ft

Height (h) = 9 in = 9/12 = 0.75 ft

Volume = 4*1*0.75 = 3 ft³

Cubic feet of concrete necessary for the steps = 9 + 6 + 3 = 18 ft³

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A chemical flows into a storage tank at a rate of (180+3t) liters per minute, where t is the time in minutes and 0<=t<=60
Yuliya22 [10]

Answer:

The amount of the chemical flows into the tank during the firs 20 minutes is 4200 liters.

Step-by-step explanation:

Consider the provided information.

A chemical flows into a storage tank at a rate of (180+3t) liters per minute,

Let c(t) is the amount of chemical in the take at <em>t </em>time.

Now find the rate of change of chemical flow during the first 20 minutes.

\int\limits^{20}_{0} {c'(t)} \, dt =\int\limits^{20}_0 {(180+3t)} \, dt

\int\limits^{20}_{0} {c'(t)} \, dt =\left[180t+\dfrac{3}{2}t^2\right]^{20}_0

\int\limits^{20}_{0} {c'(t)} \, dt =3600+600

\int\limits^{20}_{0} {c'(t)} \, dt =4200

So, the amount of the chemical flows into the tank during the firs 20 minutes is 4200 liters.

5 0
3 years ago
Algebra 1 polynomials hellllp​
defon
A. 40x^2 + 240x + 200
Shape: Rectangle
Formula: A = LW
A = (10x + 10)(4x + 20)
= (10x)(4x) + (10x)(20) + (10)(4x) + (10)(20)
= 40x^2 + 200x + 40x + 200
= 40x^2 + 240x + 200
————————————————————-
2. 57,600 ft^2
Width:
4x + 20 = 160
4x = 140
x = 35
Plug-In:
10x + 10
10(35) + 10
350 + 10
360 = Length
————————————-
A = LW
A = 360 • 160
A = 57,600 ft^2
8 0
2 years ago
erica watch 1/2 of a movie in the morning and she watched some at night and by the end of the day she still had 1/3 of left how
Anastaziya [24]
Convert to equivalent fractions to see
Both bottom s can be 6
So times the half by 3
And times the third by 2
1/2=3/6
1/3=2/6
So she has a total of 5/6 of the movie accounted for...
So the left over is 1/6
1/6 at nighttime
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3 years ago
A telephone pole is 24 feet tall
mihalych1998 [28]

Answer:i honestly dont know just trying to get points

Step-by-step explanation:

3 0
3 years ago
What is X 7x - 3 = 11
BigorU [14]

Answer:

x=2

Step-by-step explanation:

7x - 3 = 11

Add 3 to each side

7x - 3+3 = 11+3

7x = 14

Divide by 7

7x/7 = 14/7

x = 2

6 0
3 years ago
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