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Yakvenalex [24]
3 years ago
12

In circle N with m \angle MNP= 48m∠MNP=48 and MN=16MN=16 units find area of sector MNP. Round to the nearest hundredth.

Mathematics
2 answers:
Lisa [10]3 years ago
8 0

Answer:

10.4

Step-by-step explanation:

Area of sector=central angle/360(area)

=46/360(π5^2)

=10.04

Dafna11 [192]3 years ago
4 0

Answer:

A=107 square\ unit

Step-by-step explanation:

From the question we are told that:

 \angle MNP= 48m

 \angle  MN=16 unit

Generally the equation for Area of a sector A is mathematically given by

 A=\frac{\theta}{360}*\pi*r^2

 A=\frac{48}{360}*3.14*16^2

 A=107.18 square\ unit

 A=107 square\ unit

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Answer:

It's 52

Step-by-step explanation:

Congruent shapes have the same angles and side measures.

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3 years ago
The fish tank has side lengths 20in, 10in and height 15in. The water level is two inches below the top of the tank. A glass sphe
Kitty [74]

Answer:

Part 1) The new distance from the water to the top of the tank is 1.979\ in

Part 2) The maximum number of balls that can be put into the tank with the tank not overflowing is 95

Step-by-step explanation:

step 1

Find the total volume of the tank

V=20*10*15=3,000\ in^{3}

step 2

Find the volume of the tank if the water level is two inches below the top of the tank

V=20*10*(15-2)=2,600\ in^{3}

step 3

Find the volume of the glass sphere

The volume of the glass sphere is equal to

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

we have

r=1\ in

assume

\pi=3.14

substitute

V=\frac{4}{3}(3.14)(1)^{3}

V=4.2\ in^{3}

step 4

What is the new distance from the water to the top of the tank?

we know that

2 in -----> represent (3,000-2,600)=400\ in^{3}

so

using proportion

Find how many inches correspond a volume of 4.2\ in^{3}

\frac{2}{400}\frac{in}{in^{3}}=\frac{x}{4.2}\frac{in}{in^{3}}\\ \\x=4.2*2/400\\ \\x=0.021\ in

The new distance from the water to the top of the tank is

2-0.021=1.979\ in

step 5

Find how many of these balls can be put into the tank with the tank not overflowing

we know that

The volume of one ball is equal to  4.2\ in^{3}

using proportion

\frac{1}{4.2}=\frac{x}{400}\\ \\x=400/4.2\\ \\x=95.23\ balls

therefore

The maximum number of balls that can be put into the tank with the tank not overflowing is 95

4 0
3 years ago
A pole that is 3.1 m tall casts a shadow that is 1.18 m long.At the same time , a nearby tower casts a shadow that is 35.75 m lo
Georgia [21]

Answer:

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Step-by-step explanation:

Write a proportion:

3.1 / 1.18 = x / 35.75

Cross multiply and solve:

1.18x = 3.1 × 35.75

1.18x = 110.825

x ≈ 94

Rounded to the nearest meter, the height of the tower is approximately 94 meters.

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Answer:

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