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2 years ago

I need this answer ASAP!!

Mathematics

2 answers:

scZoUnD [109]2 years ago

7 0

Answer:

7.62 m

Step-by-step explanation:

Pythagorean theorem, 3^2+7^2=58

√58 is 7.62

Anuta_ua [19.1K]2 years ago

3 0

Answer:

It is either 7.62m or 10m

Step-by-step explanation:

Eduphoria

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3 years ago

How many possible outcomes are there if you choose a card from a standard deck?

MaRussiya [10]

Total outcomes: 52- 1% chance of any card

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3 years ago

Determine whether a tangent line is shown in this figure?<br> a. no<br> b. yes

faust18 [17]

No, the tangent line needs to be against the circle from where it leaves. This is just a straight up right angle.

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2 years ago

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Given sin(u)= -7/25 and cos(v) = -4/5, what is the exact value of cos(u-v) if both angles are in quadrant 3

solmaris [256]

Given:

$\sin (u)=-\dfrac{7}{25}$

$\cos (v)=-\dfrac{4}{5}$

To find:

The exact value of cos(u-v) if both angles are in quadrant 3.

Solution:

In 3rd quadrant, cos and sin both trigonometric ratios are negative.

We have,

$\sin (u)=-\dfrac{7}{25}$

$\cos (v)=-\dfrac{4}{5}$

Now,

$\cos (u)=-\sqrt{1-\sin^2 (u)}$

$\cos (u)=-\sqrt{1-(-\dfrac{7}{25})^2}$

$\cos (u)=-\sqrt{1-\dfrac{49}{625}}$

$\cos (u)=-\sqrt{\dfrac{625-49}{625}}$

On further simplification, we get

$\cos (u)=-\sqrt{\dfrac{576}{625}}$

$\cos (u)=-\dfrac{24}{25}$

Similarly,

$\sin (v)=-\sqrt{1-\cos^2 (v)}$

$\sin (v)=-\sqrt{1-(-\dfrac{4}{5})^2}$

$\sin (v)=-\sqrt{1-\dfrac{16}{25}}$

$\sin (v)=-\sqrt{\dfrac{25-16}{25}}$

$\sin (v)=-\sqrt{\dfrac{9}{25}}$

$\sin (v)=-\dfrac{3}{5}$

Now,

$\cos (u-v)=\cos u\cos v+\sin u\sin v$

$\cos (u-v)=\left(-\dfrac{24}{25}\right)\left(-\dfrac{4}{5}\right)+\left(-\dfrac{7}{25}\right)\left(-\dfrac{3}{25}\right)$

$\cos (u-v)=\dfrac{96}{625}+\dfrac{21}{625}$

$\cos (u-v)=\dfrac{1 17}{625}$

Therefore, the value of cos (u-v) is 0.1872.

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2 years ago

What is the slope of a line that runs parallel to y = -x + 7? Use a number to fill in the blank. a0

katovenus [111]

Answer: parallel lines have the same slope as the original so the slope would still be -x

Step-by-step explanation:

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3 years ago

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