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Genrish500 [490]

3 years ago

14

A furniture set has a bed, desk, and dresser. there 5 are beds, 2 desks, and 1 dresser how many different bedroom sets could you

select?

1 answer:

alexandr1967 [171]3 years ago

4 0

Answer:

One

Step-by-step explanation:

Each set is supposed to have one of each. Since there is only one dresser, you can only select one bedroom set.

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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

The question is about trigonometry solving two sides it is a right triangle hypotenuse is X left side is 20 bottom side is 21 i

elena55 [62]

Answer:

x = 29

Angle A = 46.4°

Angle B = 43.6°

Step-by-step explanation:

Since it is a right angle triangle, we can find x from pythagoras theorem;

x = √(20² + 21²)

x = √(400 + 441)

x = √841

x = 29

Using trigonometric ratios we can find angles A and B.

Opposite is 20

Adjacent is 21

Thus; opp/adj = tan B

20/21 = tan B

B = tan^(-1) 0.9524

B = 43.6°

Sum of angles in a triangle is 180°. Thus;

A = 180 - (90 + 43.6)

A = 46.4°

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2 years ago

Multiply using a special product formula <br>(5x-6)(5x+6)=□ (Simplify Your Answer)

Kryger [21]

<span>(5x-6)(5x+6)
= (5x)^2 - 6^2
= 25x^2 - 36</span>

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What is 121 inches in feet and inches

aivan3 [116]

That would be 10.083 feet (if you round that it would be 10 feet and 1 inch)

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Darina [25.2K]

The answer is (3,4)

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3 years ago