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Nataliya [291]
3 years ago
9

What is the volume of a hemisphere with a radius of 3.6m ,rounded to the nearest tenth of a cubic centimeter

Mathematics
1 answer:
Mrrafil [7]3 years ago
6 0

Answer:

V\approx 97.7\ m^3

Step-by-step explanation:

-A hemisphere is equivalent to half of a sphere.

- The area of a sphere is given by the formula:

V=\frac{4}{3}\pi r^3

-Given that r=3.6m, the hemisphere's volume can be calculated as:

V=\frac{4}{3}\pi r^3\\\\V_h=0.5\times \frac{4}{3}\pi r^3\\\\=0.5\times \frac{4}{3}\pi \times 3.6^3\\\\=97.7161\approx 97.7\ m^3

Hence, the hemisphere's volume is approximately  97.7\ m^3

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A.true
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5c/f=1/r, solve for r, c and f.
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c = 1, f = 5, and r = 1

Step-by-step explanation:

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During gym class, Lenny, Lonnie, and Lainey measure the length of their long jumps. Lenny’s jump is ⅔ times the length of Lainey
Svetllana [295]

Answer: Lonnie’s Jump

Step-by-step explanation:

         (They just <em>had</em> to give three names that all started with L.)

         Since Lenny's jump is ⅔ times the length of Lainey’s, we can tell that Lenny's jump won't be the longest because it is already smaller than Lainey's.

         Since Lenny is now out of the picture, let us look at Lonnie and Lainey. Lonnie’s jump is 1 ⅓ times the length of Lainey’s. Since Lonnie's jump is longer than Laniey's, Lonnie's jump is the longest jump.

3 0
2 years ago
Find the measure of the indicated angle to the nearest degree 9 25
SCORPION-xisa [38]

Answer:

1. 34.4°

2. 18.8°

3. 37.7°

4. 36.6°

5. 40.6°

6. 7.5

7. 12.3

8. 14.7

9. 22.0

10. 6.3

Step-by-step explanation:

1. The missing angle is found by the use of the sine.

Sine ∅= opposite/ hypotenuse

=13/23

sin⁻¹(13/23)=34.4°

2. The missing angle is calculated by the use of the tan.

Tan∅=opposite/adjacent

=17/50

Tan⁻¹(17/50)=18.8°

3. The missing angle is calculated by the use of the tan.

Tan∅=opposite/adjacent

=17/22

Tan⁻¹ (17/22) = 37.7°

4. The missing angle is calculated by the use of the tan.

Tan∅=opposite/adjacent

=21/28

Tan⁻¹ (21/28)=36.9°

5. The missing angle is calculated by the use of the tan.

Tan∅=opposite/adjacent

=24/28

Tan⁻¹ (24/28) = 40.6°

6. Missing side is calculated by considering the tan of 58°

Tan 58°=12/x

x=12/Tan 58°

=7.5

7.  Missing side is calculated by considering the sine of 43°

Sin 43°= opposite / hypotenuse

Sin 43 =x/18

x= 18 Sin 43

=12.3

8.  Missing side is calculated by considering the sine of 62°

Sin 62° = 13/x

x=13/Sin 62°

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9.  Missing side is calculated by considering the tan of 36°

Tan 36°= 16/x

x=16/Tan 36°

=22.0

10. Missing side is calculated by considering the sine of 23°

Sin 23° = x/16

x=16 Sin 23

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8 0
3 years ago
Use the Distributive Property to expand 4(x+3)
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Answer:

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Step-by-step explanation:

4(x+3)=4x+12.

You use the distributive property by multiplying both numbers in the parentheses by 4

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