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eimsori [14]
3 years ago
12

Find all of the solutions for the following equation. 2 sin q + 3 = sin q + 2

Mathematics
1 answer:
kow [346]3 years ago
3 0

Answer:

q = 270 degrees + 360n  where n is an integer

Step-by-step explanation:

2 sin q + 3 = sin q + 2

Subtract sin q from each side

2 sin q - sin q + 3 = sin q + 2

sin q + 3 = 2

Subtract 3 from each side

sin q +3-3 = 2-3

sin q = -1

Take the inverse sin of each side

sin ^-1 (sin q) = sin^-1 (-1)

q = 270 degrees + 360n  where n is an integer

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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
Please help cuz i ok with math but not this type of math so PLEASE HELP ME!
Korolek [52]

Answer:

y=1x-4

Step-by-step explanation:

The original is

y=mx+b

m is the slope   and b is the y intercept

8 0
3 years ago
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A hotel reservation number consist of 4 digits, followed by 1 letters, followed by 3 digits. How many different reservation numb
astraxan [27]

Answer:

24000000

(might not be correct)

Step-by-step explanation:

might not be right but ill try:

ten digits: 10

4times:10x10x10x10=10000

times a letter:24 letters= 10000x24=240000

time three digits: 10x10x10=100x240000=24000000

5 0
3 years ago
What is blank divided by 9 equals 5
Rudik [331]

Answer:

45 divided by 9 equals 5

Step-by-step explanation:

4 0
3 years ago
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I'm very confused on how to even figure out the question and what I'm supposed to do
Tasya [4]

Answer:

To solve a system of linear equations graphically we graph both equations in the same coordinate system. The solution to the system will be in the point where the two lines intersect. The two lines intersect in (-3, -4) which is the solution to this system of equations. I hope this helped!

5 0
2 years ago
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