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3 years ago

Solve for x: the quantity of x plus 20 over 2 = 3x

Mathematics

2 answers:

borishaifa [10]3 years ago

6 0

Answer:

x+20/2=3x

x+10= 3x

10=3x-x

10=2x

10/2=x

5=x

hope it helps

plz mark as brainliest

Greeley [361]3 years ago

5 0

The answer is 4 because when you add four to 20 it gives you 24 and then you divide that by 2 which will give you 12 and then you can make sure it’s right by plugging it in which would be 3 times 4 for x which gives you exactly 12.

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consider this equation sin(theta) = -4 square root of 29/29 if theta is an angle in quadrant IV what is the value of cos (theta)

MatroZZZ [7]

Answer:

$\cos(\theta)= \frac{\sqrt{377}}{29}$

Step-by-step explanation:

Given

$\sin(\theta) = -\frac{4}{\sqrt{29}}$ -- the correct expression

Required

$\cos(\theta)$

We know that:

$\sin^2(\theta) + \cos^2(\theta)= 1$

Make $\cos^2(\theta)$ the subject

$\cos^2(\theta)= 1 - \sin^2(\theta)$

Substitute: $\sin(\theta) = -\frac{4}{\sqrt{29}}$

$\cos^2(\theta)= 1 - (-\frac{4}{\sqrt{29}})^2$

Evaluate all squares

$\cos^2(\theta)= 1 - (\frac{16}{29})$

Take LCM

$\cos^2(\theta)= \frac{29 - 16}{29}$

$\cos^2(\theta)= \frac{13}{29}$

Take square roots of both sides

$\cos(\theta)= \±\sqrt{\frac{13}{29}}$

cosine is positive in the 4th quadrant;

So:

$\cos(\theta)= \sqrt{\frac{13}{29}}$

Split

$\cos(\theta)= \frac{\sqrt{13}}{\sqrt{29}}$

Rationalize

$\cos(\theta)= \frac{\sqrt{13}}{\sqrt{29}} * \frac{\sqrt{29}}{\sqrt{29}}$

$\cos(\theta)= \frac{\sqrt{13*29}}{29}$

$\cos(\theta)= \frac{\sqrt{377}}{29}$

4 0

3 years ago

Three consecutive odd integers have a sum of 21 . find the integers.

Tpy6a [65]

The three consecutive numbers are 5, 7, and 9.

6 0

3 years ago

A carpenter sands 1/2 of a dresser in 3/4 hour ,how long does it take the carpenter to sand 1 dresser

Murljashka [212]

Answer:

1.5 hours = 1 hour 30 mins

Step-by-step explanation:

3/4 = 0.75

0.75 x 2 = 1.5

5 0

3 years ago

Pls help me solve pls show how you got the answer

poizon [28]

Answer:

triangular prism = empty cylinder + empty cylinder.

Step-by-step explanation:

by replacing the two empty cylinders with a triangular prism, we balance the mobile.

Therefore option D is the answer.

6 0

3 years ago

the beach is very crowded today! Everybody got to the beach by driving, biking,or walking.If 30% walked and 45% drove what perce

kolezko [41]

Answer:

25% biked to the beach

Step-by-step explanation:

We know a whole is 100%

We first have to do

30+45=75

then we can do

100-75=25

25%

4 0

3 years ago

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