Please help i’m scared of my teacher :(

What is the answer to > solve 4cos (theta/3) -2 = 0, over [0, 4pi)

Vesna [10]

Hello from MrBillDoesMath!

Answer:

@ = pi/3 (or 60 degrees) or @ = 7 pi/3 (or 420 degrees)

Discussion:

Let "@' denote the angle "theta". We are asked to find @ in the interval [0, 4 pi)

where

4cos(@) - 2 = 0. Adding 2 to both sides

4 cos(@) - 2 +2 = 2 =>

4 cos(@) = 2 Divide both sides by 4

cos(@) = 2/4 = 0.5

This implies that @ = pi/3 (or 60 degrees) or @ = (pi/3 + 2pi) = 7 pi/3 (or 420 degrees)

Thank you,

MrB

5 0

3 years ago

The original price of a video game is $32.99 before tax. When Mario bought the video game it rang up as $26.39 before tax. He th

mihalych1998 [28]

Answer:

Part A: The percent discount on game is 20%.

Part B: Mario paid a total of $28.50 including sales tax.

Step-by-step explanation:

Given that:

Part A:

Original price of video game = $32.99

Discounted price = $26.39

Amount of discount = 32.99 - 26.39 = $6.60

Discount percent = $\frac{Amount\ of\ discount}{Original\ price}*100$

Discount percent = $\frac{6.60}{32.99}*100 = 0.20*100$

Discount percent = 20%

Part B:

Sales tax = 8% of discounted price

Amount of sales tax = $\frac{8}{100}*26.39 = 0.08*26.39$

Amount of sales tax = $2.11

Total amount = $26.39 + $ 2.11 = $28.50

Hence,

Part A: The percent discount on game is 20%.

Part B: Mario paid a total of $28.50 including sales tax.

5 0

2 years ago

Anita can clean a typical pool in 8 hours. Chao can clean a typical pool in 6 hours. How long should it take Anita and Chao work

Snezhnost [94]

This kind of problems requires to add the working velocities. The total velocity is the sum of the individual velocities.

Anita's velocity = 1 pool/8 hours
Chao's velocity = 1 pool/6 hours

Combined velocity 1/8 + 1/6 = (3 + 4)/24 = 7/24 pool/hour

Time = 1 pool / (7/24) pool/hour = 24/7 hour =3.43 hours

8 0

3 years ago

En un hospital 1800 varones mayores de 40 años son examinados por medio del tacto rectal como prueba de tamizaje para detectar c

Scilla [17]

Answer:

de turquesa en la cueva surena

Step-by-step explanation:

4 0

3 years ago

When Justin goes to work, he drives at an average speed of 65 miles per hour. It takes about 1 hour and 30 minutes for Justin to

Fofino [41]

Answer: