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Rzqust [24]
3 years ago
9

The radius of a cylinder is 7.8*10^-4 m. The height of the cylinder is 3.4*10^-2 m. What is the volume? Write in scientific nota

tion.

Mathematics
1 answer:
lisabon 2012 [21]3 years ago
3 0

Answer:

Step-by-step explanation:

The formula for determining the volume of a cylinder is expressed as

Volume of cylinder = πr^2h

Where

π is a constant whose value is 3.14.

r represents the radius of the cylinder.

h represents the height of the cylinder.

From the information given,

The radius of a cylinder is 7.8*10^-4 m.

The height of the cylinder is 3.4*10^-2.

Therefore,

Volume of cylinder =

3.14 × (7.8*10^-4)^2 × 3.4*10^-2

= 3.14 × 60.8*10^-8 × 3.4*10^-2

= 649.52784 × 10^- 10 m^2

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George plans to cover his circular pool for the upcoming winter season. The pool has a diameter of 20 feet and the cover extends
Verizon [17]

Answer:

Area of Pool cover: 110.25π

Length of rope: 21π

Step-by-step explanation:

To find the area of a circle the formula is πr^2.

1. take 10.5, which is half of the diameter and multiply it by itself then multiply by pi(π). Answer is 110.25π

To find the length of the rope(circumference) the formula is 2πr.

1. Take r, which we established as 10.5 then multiply it by 2, which is 21. Then multiply by π. Answer is 21π

____________________________________________________________

If ur teacher wants you to use 3.14 as pi then these are your answers:

Area of Pool cover: 346.185, round up to 346.19 if needed

Length of rope: 65.94

8 0
3 years ago
A food scientist is developing a new recipe. He needs it to have between 3 and 5 teaspoons of sugar per serving and between 3 an
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Answer:

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Step-by-step explanation:

7 0
3 years ago
5. A yacht is cruising at 20 knots at bearing of 185° when a 15 knot wind starts to blow at a bearing of 290°. Find the directio
kicyunya [14]

Answer:

<em>Direction of the boat is 43.05° and the speed is 21.66 knot</em>

<em></em>

Step-by-step explanation:

yacht speed = 20 knots

yacht bearing = 185° = 85°  below the negative horizontal x-axis

wind speed = 15 knots

wind bearing = 290° = 20° above the negative horizontal x-axis

we find the x and y components of the boat velocities

for yacht,

x component = -20 cos 85° = -1.74 knots

y component = -20 sin 85° = -19.92 knots

for the wind,

x component = -15 cos 20° = -14.09 knots

y component = 15 sin 20° = 5.13 knots

total x component  Vx = -1.74 + (-14.09) = -15.83 knots

total y component Vy =  -19.92 + 5.13 = -14.79 knots

Resultant speed of the boat = \sqrt{Vx^{2} + Vy^{2}  }

==> \sqrt{15.83^{2} + 14.79^{2}  } = <em>21.66 knot</em>

<em></em>

direction of boat = tan^{-1} \frac{Vy}{Vx}

==> tan^{-1} \frac{14.79}{15.83} = <em>43.05°</em>

3 0
3 years ago
Given that f(x) = 2x + 5 and g(x) = x − 7, solve for f(g(x)) when x = −3
dusya [7]

Answer:

-15

Step-by-step explanation:

start from the inside and go out.

So first plug in -3 into g(x)

g(-3) = -3 - 7 = -10

then plug in -10 into f(x)

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so f(g(x)) = -15

5 0
3 years ago
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IrinaVladis [17]
Sorry I don’t know the answer hope you find one bye
8 0
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