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2 years ago

I really need. help can you solve for x.

Mathematics

1 answer:

S_A_V [24]2 years ago

5 0

so for some reason I couldn't add my answer so I screenshot it and added it below uhh hope it helps!

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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

There are three consecutive even integers. If twice the first integer added to the second is 268, 244 find all three integers.

Rudik [331]

Answer:

The numbers would be 89,414 , 89,416, and 89,418

Step-by-step explanation:

In order to find this, start by setting the lowest number as x. Then we can determine that the next two even integers are x + 2 and x + 4. From this we can write the following equation.

2(x) + x + 2 = 268,244

3x + 2 = 268,244

3x = 268,242

x = 89,414

Since the first number is 89,414, we know the next two are 89,416 and 89,418.

6 0

2 years ago

Help I don’t know how to figure this problem out

Montano1993 [528]

3x + 10 = 5x - 4
14 = 2x
x = 7

measure of the angles is 3(7) + 10 = 31 degrees

5 0

3 years ago

Please I need the answer very fast

tatyana61 [14]

Answer:

1 - cosΘ

Step-by-step explanation:

using the identity

sin²x + cos²x = 1 , then

sin²x = 1 - cos²x

$\frac{sin^20}{1+cos0}$

= $\frac{1-cos^20}{1+cos0}$ ← factor 1 - cos²Θ as a difference of squares

= $\frac{(1-cos0)(1+cos0)}{1+cos0}$ ← cancel 1 + cosΘ on numerator/ denominator

= 1 - cosΘ

7 0

2 years ago

Pls help!!!!!!!!!!!!!!!

Tresset [83]

Answer: The radius would be twelve

Step-by-step explanation:

The radius of a sphere would be 12 cm. By putting the value of volume we can find the radius of the sphere. The radius of a sphere would be 12 cm.

8 0

3 years ago