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3 years ago

What is the quotient of a number and five increased by four is sixteen.

Mathematics

1 answer:

mr_godi [17]3 years ago

4 0

16-4=12

12x5=60

I'm putting together assumptions as this isn't really clear to me, I apologize.

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Nancy has a shelf over her bed where she keeps her four stuffed teddy bears. How many ways can she arrange the four bears?

gtnhenbr [62]

Answer:

Step-by-step explanation:

I believe you just multiply 4 by 4 !

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3 years ago

An arc has a central angle of 1.8 radians and a radius of 20

Nutka1998 [239]

Answer:

a) Arc length (l) = 36 inches

The nearest angle in degrees θ = 103.18°

Step-by-step explanation:

Step(i):-

An arc has a central angle of 1.8 radians and a radius of 20 inches.

Given arc has a central angle of 1.8 radians and

radius of circle = 20 inches

Given arc has a central angle (θ ) = 1.8 radians

Arc length (l) = r θ

l = 20 × 1.8 radians

l = 36

The length of arc = 36 inches

we will convert radians to degree

1.8 × 180° / π = 324° / π ≅ 103.18°

The nearest angle in degrees θ = 103.18°

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2 years ago

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maks197457 [2]

Answer:

56 deceased by 14% is 48.16

262 decreased by 39% is 159.82

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2 years ago

A jogger runs 140 m due west, then changes direction for the second leg of her run. At the end of the run, she is 374 m away fro

USPshnik [31]

Answer:

The length of her second displacement = 247.12 m.

The direction of her second displacement = 31.24° from west.

Step-by-step explanation:

As per the question,

From the figure as drawn below,

Let the starting point be O. After running 140 m due west, she reached at point A.

∴ OA = 140 m

And At the end of the run, she is 374 m away from the starting point at an angle of 20° north of west.

∴ OP = 374 m

We have to find the distance AP = x.

By using the cosine rule in triangle OAP

$cos \theta = \frac{OA^{2}+OP^{2}-AP^{2}}{2\times OA\times OP}$

After putting the given value, we get

$cos 20= \frac{140^{2}+374^{2}-x^{2}}{2\times 140\times 374}$

$x^{2}=140^{2}+374^{2} - 2\times 140\times 374\times cos 20$

∴ x = 247.12 m

Hence,the length of her second displacement = 247.12 m.

Again,

By using the cosine rule in triangle OAP, we get

$cos \alpha = \frac{OA^{2}+AP^{2}-OP^{2}}{2\times OA\times AP}$

After putting the given value, we get

$cos \alpha = \frac{140^{2}+247.12^{2}-374^{2}}{2\times 140\times 247.12}$

∴ α = 148.759°

Hence, the direction of her second displacement = 180° - α = 180° - 148.759 = 31.24° from west.

8 0

3 years ago

PLEASE HELP PLEASEE!!!!!!!!!!!!!!

Yakvenalex [24]

Answer:

Step-by-step explanation:

6 0

2 years ago

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