What’s the answer to this question ?

Find x in the triangle below. Round your answer to the nearest tenth.

jonny [76]

Answer:

Step-by-step explanation:

Remark

x is opposite the 90 degree angle. It is the hypotenuse.
13 makes up the 57 degree angle. It is the side adjacent.
The adjacent side and the hypotenuse define the cos(theta).

Formula

cos(theta) = adjacent side / hypotenuse

Givens

Theta = 57 degrees

Hypotenuse = x

Side adjacent = 13

Solution

Cos(57) = 13 / x Multiply both sides by x
x*cos(57) = 13 Divide by cos(theta)
x = 13/cos(57)
x = 13 / cos(57)
cos(57) = 0.5446
x = 13/ 0.5446
x = 23.87

6 0

3 years ago

I need help i will give them 100 points.

lilavasa [31]

Hello!

∘ ∘ ∘ ∘ ∘ ∘ ∘ ∘ ∘ ∘ ∘ ∘ ∘ ∘ ∘ ∘ ∘ ∘ ∘ ∘ ∘ ∘ ∘ ∘ ∘

<h3>Slope Formula:</h3>

$\bold{\displaystyle\frac{y_2-y_1}{x_2-x_1}}$

<h3>Where</h3>

$\bold{y_2}$ is the y-coordinate of the second point

$\bold{y_1}$ is the y-coordinate of the first point

$\bold{x_2}$ is the x-coordinate of the second point

$\bold{x_1}$ is the x-coordinate of the first point

Check the First example:

$\bf{y_2}$ = 6

$\bf{y_1}$ = -2

$\bf{x_2}$ =3

$\bf{x_1}$ = -9

<h3>Plug in the Values</h3>

$\bf{\displaystyle\frac{6-(-2)}{3-(-9)} }$

6-(-2) is the same as 6+2; same with 3-(-9)

$\bf{\displaystyle\frac{6+2}{3+9}}$

Simplify:

$\bf{\displaystyle\frac{8}{12}}$

Is the slope negative? Nope!

<em>How about Option B?</em>

<em /> $\bf{\displaystyle\frac{7-9}{5-6}}$

$\bf{\displaystyle\frac{-2}{-1}}$

Right now it seems like the slope's negative, huh? Well, wait for it...

$\bf{2}$

Kaboom!

Please remember that

$\bigstar^\circ$ A negative number multiplied/divided by a negative number equals... a positive! :-)

We have 2 options left: C & D.

$\displaystyle\frac{-8-1}{8-(-8)}$

$\displaystyle\frac{-8-1}{8+8}}$

$\displaystyle\frac{-9}{16}}$

We did it! The slope's actually negative :)

How about Option D (just to make sure the third option is right)

-9-(-8)/-1-2

-9+8/-3

-1/-3

Again we have a negative over a negative.

<h3>Therefore, the correct option is</h3>

$\boxed{\boxed{\bold{Option~C}}}$

Hope everything is clear.

Let me know if you have any questions!

#LearnWithJoy

$\text{An~Emotional~Helper}$

$\rule{2}{2}~\rule{2}{2}~\rule{2}{2}~\rule{2}{2}~\rule{2}{2}~\rule{2}{2}$

8 0

3 years ago

Read 2 more answers

WILL GIVE BRAINLIEST!!! The two larger segments below are perpendicular. Find the area of the shaded region to the nearest integ

snow_lady [41]

Answer:

I wont be able to help much and get you till all the way to the end but here is what i know:

Step-by-step explanation:

The radius of the smaller circle is 6, and the longer segment adds up to 12 since 6 + 6 = 12. the area of the whole bigger circle would be 452.389, by using the formula of the area of a circle "πr²". This is what i can tell and the only part I'm confused in how to find the area of JUST the shaded part. I hope this helped a bit!

5 0

3 years ago

Lilly found 40 seashells. She

maks197457 [2]

Answer:

4 buckets

Step-by-step explanation:

40 divided by 10 is 4

6 0

3 years ago

Read 2 more answers

Solve for r.<br><br> -7.61 - 4.3r = -8.1r - 3.81

Aleonysh [2.5K]

Answer:

r=1

Step-by-step explanation:

-7.61 - 4.3r = -8.1r - 3.81

(bring like terms to one side)

-4.3 r = -8.1r -3.81 + 7.61

-4.3r + 8.1 r =-3.81 + 7.61

(consolodate)

3.8r = 3.8

(divide right by # of r)

r = 3.8/3.8

r = 1

6 0

3 years ago

Read 2 more answers