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larisa86 [58]
3 years ago
7

Plz answer asap i need to graduate this week

Mathematics
1 answer:
iogann1982 [59]3 years ago
5 0

Question 1:

For this case we have that by definition, the volume of a prism is given by:

V = a * b * c

Where:

a: It is the long

b: It is the width

c: It is the height

According to the data we have:

a = 18m\\b = 9m\\c = 6m

Substituting:

V = 18 * 9 * 6\\V = 972

Thus, the volume of the building is972 \m ^ 3

Answer:

Option B

Question 2:

For this case we have that by definition, the volume of a prism is given by:

V = a * b * c

Where:

a: It's the long

b: It is the width

c: It is the height

According to the data we have:

a = 26in\\b = 14in\\c = 18in

Substituting:

V = 26 * 14 * 18\\V = 6552

Thus, the volume of the tank is 6552 \in ^ 3

Answer:

Option A

Question 3:

For this case we have that by definition, the volume of a cube is given by:

V = l ^ 3

Where:

l: It's the side of the cube

According to the data we have that the cube side is 7.2ft.

Substituting we have:

V = (7.2) ^ 3\\V = 373.25

Rounding off we have that the volume of the cube is 373.25 \ ft ^ 3

Answer:

Option B

Question 4:

For this case we have that by definition, the volume of a cube is given by the following formula:

V = l ^ 3

Where:

l: It's the side of the cube

According to the data we have that the cube side is 4.5 yards.

Substituting we have:

V = (4.5) ^ 3\\V = 91.125

Rounding off we have the cube volume is91.13 \ yd ^ 3

Answer:

Option C

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Answer:

Hope this helps :)

Step-by-step explanation:

8(x - 2) = 2x + 8

y+9 = -2(y + 1)

value of x in 8(x - 2) = 2x + 8

x=4

substitue

y+9=−2(y+1)

value of y y+9=−2(y+1)

y= - 11/3 or 3.66...

x=4

y=4 (I rounded 3.66)

4 0
2 years ago
Find the perimeter of a circle O
ExtremeBDS [4]

The formula for finding the perimeter of a circle is P = 2 x 3.14 x r

The perimeter would be 2 x 3.14 x 14

The perimeter is 87.92 cm


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3 years ago
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4 0
3 years ago
Write an equation of the line with the given slope and y-intercept,(4,3) and (0,1)
PSYCHO15rus [73]

Answer:

y=1/2x+1

Step-by-step explanation:

First use slope formula.

\frac{y2-y1}{x2-x1}

Plug in the information needed.

\frac{1-3}{0-4}=\frac{-2}{-4}=\frac{1}{2}

The slope is \frac{1}{2}.

Now, use point-slope formula.

y-y1=m(x-x1)

Plug in the information needed.

y-3=1/2(x-4)

y-3=1/2x-2

y=1/2x+1

The equation of the line in slope-intercept form is y=1/2x+1.

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5 0
2 years ago
The sum of 4 consecutive integers is 198. What is the fourth number in this sequence.
Georgia [21]
Let x, x+1,x+2, x +3 are the <span>numbers
so
</span>x + x +1 + x +2 +x +3 = 198
4x + 6 = 198
4x =198-6
4x = 192
 x = 192/4
 x = 48
 x + 1 = 48 + 1 = 49
 x + 2 = 48 + 2 = 50
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proof
48 + 49 + 50 + 51 = 198

so the numbers are 48, 49, 50, 51

fourth number in this sequence is 51
7 0
3 years ago
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