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Naddik [55]
4 years ago
7

Find volume with full working out thank you ;)

Mathematics
1 answer:
Alina [70]4 years ago
4 0

Answer:

2110 cm³

Step-by-step explanation:

Volume = V1 + V2,

Where V1 is the volume of the pyramid, and V2 is the volume of half cylinder

V1 = ⅓×(Base area)×height

V1 = ⅓×(12.6×21.5)×8.5 = 767.55

V2 = ½×(pi×r²×h)

r = 12.6÷2 = 6.3

V2 = ½×(pi×6.3²×21.5) = 1340.415

Volume = V1 + V2

= 767.55 + 1340.415

= 2107.965

= 2110 cm³ (3 sf)

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Elza [17]

Answer:

5 units down.

Step-by-step explanation:

D' is the translated image. If D' is at (7,1) and the original point, D, is at (7,6), we can see a change of -5 in the y coordinate. This means that there was a translation of 5 units down.

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4 years ago
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What is the distributive property?
AleksAgata [21]

Answer:

Below

Step-by-step explanation:

Here an example to illustrate the distributive property wich is used in multiplication

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4 years ago
Using pemdas please
Leni [432]

The expression that represents the amount mother spent is 4 × 5.00 + 2.00.

This outing will cost $22.00.

Solution:

Number of members in a family = 4

Cost of one ticket = $5.00

Cost of soft drink = $2.00

Mother spent = Number of members × Cost of each ticket + Cost of soft drink

                      = 4 × 5.00 + 2.00

The expression that represents the amount mother spent is 4 × 5.00 + 2.00.

To solve this expression using PEDMAS rule.

First do multiplication.

4 × 5.00 + 2.00 = 20.00 + 2.00

Now do addition.

4 × 5.00 + 2.00 = 22.00

Hence this outing will cost $22.00.

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3 years ago
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Not 90° <br> The picture shows a cube. How big is the angel shown?
sveta [45]

If you were to draw another line connecting the two top corners, you would make an equilateral triangle.

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4 0
4 years ago
A steel ball is dropped from a building’s roof and passes a window, taking 0.125 s to fall from the top to the bottom of the win
Anna35 [415]

Answer:

20.425 m

Step-by-step explanation:

t = Time taken

u = Initial velocity

v = Final velocity

s = Displacement

a = Acceleration due to gravity = 9.81 m/s²

s=ut+\frac{1}{2}at^2\\\Rightarrow u=\frac{s-\frac{1}{2}at^2}{t}\\\Rightarrow u=\frac{1.2-\frac{1}{2}\times 9.81\times 0.125^2}{0.125}\\\Rightarrow u=8.98\ m/s

Now this will the final velocity when it reaches the top of the window

v^2-u^2=2as\\\Rightarrow s=\frac{v^2-u^2}{2a}\\\Rightarrow s=\frac{8.98^2-0^2}{2\times 9.81}\\\Rightarrow s=4.11\ m

v=u+at\\\Rightarrow v=8.98+9.81\times 0.125\\\Rightarrow v=10.21\ m/s

If the upward flight is an exact reverse of the downward flight then the time taken while going down will be 1 second and going up will be 1 second.

s=ut+\frac{1}{2}at^2\\\Rightarrow s=10.21\times 1+\frac{1}{2}\times 9.81\times 1^2\\\Rightarrow s=15.115\ m

Hence total height of the building is 4.11+1.2+15.115 = 20.425 m

4 0
3 years ago
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