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mixas84 [53]
3 years ago
10

A drum of oil has a height of 4 ft and a radius of 1.2 ft. The oil cost $22 per ft³.

Mathematics
2 answers:
nadezda [96]3 years ago
6 0

$397.9 is the answer, i took the test today

frozen [14]3 years ago
4 0
<h2>Answer</h2>

$397.90

<h2>Explanation</h2>

First, we are going to find the volume of our drum of oil. Since a drum of oil is a cylinder, we are going to use the formula for the volume of a cylinder:

V=\pi r^2h

where

V is the volume of the cylinder

\pi =3.14

r is the radius of the cylinder

h is the height of the cylinder

We know from our problem that the radius of the drum of oil is 1.2 ft and its height is 4 ft, so let's replace the values in our formula:

V=\pi r^2h

V=3.14*(1.2ft)^2*4ft

V=3.14*1.44ft^2*4ft

V=18.0864ft^3

Now, we just need to multiply the volume of the drum of oil by the oil cost per ft^3:

Cost to fill the drum of oil = 18.0864ft^3*\frac{22dollars}{1ft^3} =397.90dollars

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Which of the following is correct sequence of the matching?
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Ad libitum [116K]
I hope this helps you




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8 0
3 years ago
#11 i
Paraphin [41]

The area of a shape is the amount of space a shape can occupy, while the perimeter is the sum of its lengths.

  • <em>The perimeter is </em>18 + 3\sqrt 5 + 3\sqrt 2<em>units</em>
  • <em>The area of the sanctuary is 27 square units</em>

We have:

A = (5,7)\\B=(8, 7)\\C=(8, 1)\\D=( 1, 1)\\E=( 1, 4)\\F= ( 5,4)

<u>Perimeter</u>

See attachment for the layout of the sanctuary

BC = \sqrt{(8 - 8)^2 + (7 - 1)^2} = 6

EF = \sqrt{(1 - 5)^2 + (4 - 4)^2} = 4

FA = \sqrt{(5 - 5)^2 + (4 - 7)^2} = 3

From the attachment, the sides are

<em>AB, BF, FC, CD, DE and EA</em>

Start by calculating the length of each side using the following distance formula:

d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_2)^2}

So, we have:

AB = \sqrt{(5 - 8)^2 + (7 - 7)^2} = 3

BF = \sqrt{(8 - 5)^2 + (7 -1)^2} = \sqrt{45} = 3\sqrt 5

FC = \sqrt{(8 - 5)^2 + (1 -4)^2} = \sqrt{18} = 3\sqrt 2

CD = \sqrt{(8 - 1)^2 + (1 - 1)^2} = 7

DE = \sqrt{(1 - 1)^2 + (1 - 4)^2} = 3

EA = \sqrt{(1 - 5)^2 + (4 -7)^2} = 5

So, the perimeter (P) is:

P = AB + BF + FC + CD + DE + EA

P = 3 + 3\sqrt 5 + 3\sqrt 2 + 7 + 3 + 5

P = 18 + 3\sqrt 5 + 3\sqrt 2

<em>Hence, the perimeter is </em>18 + 3\sqrt 5 + 3\sqrt 2<em>units</em>

<u />

<u>Area</u>

To calculate the area, we need to divide the sanctuary into three.

  1. <em>Triangle ABF</em>
  2. <em>Triangle EFA</em>
  3. <em>Trapezium CDEF</em>

The area of ABF is:

Area = \frac 12 \times AB \times FA

Where:

AB = 3

FA = \sqrt{(5 - 5)^2 + (4 - 7)^2} = 3

Area = \frac 12 \times 3 \times 3

Area = \frac 92

The area of EFA is:

Area = \frac 12 \times EF \times FA

Where:

FA = 3

EF = \sqrt{(1 - 5)^2 + (4 - 4)^2} = 4

So:

Area = \frac 12 \times 4 \times 3

Area = 6

The area of CDEF is:

Area = \frac 12(CD + EF) \times DE

Where

CD = 7

EF = 4

DE = 3

So, we have:

Area = \frac 12 (7 + 4) \times 3

Area = \frac 12 \times 11 \times 3

Area = \frac {33}2

So, the area of the sanctuary is:

Area = \frac 92 + 6 + \frac {33}2

Area = \frac {9 +12 + 33}2

Area = \frac {54}2

Area = 27

<em>Hence, the area of the sanctuary is 27 square units</em>

Read more about areas and perimeters at:

brainly.com/question/11957651

8 0
3 years ago
1b. b. At midnight the temperature is -7°C. At midday the temperature is 4°C. By how much did the temperature rise? * 1 point Yo
ElenaW [278]

Answer:

Rise = 11^\circ C

Step-by-step explanation:

Given

Midnight \to -7^\circ C

Midday \to 4^\circ C

Required

The temperature rise

This is the difference between the final and the initial temperature

Rise = Midday - Midnight

Rise = 4^\circ C - -7^\circ C

Rise = 4^\circ C +7^\circ C

Rise = 11^\circ C

8 0
3 years ago
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