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Otrada [13]
3 years ago
15

Prove that sin^3x+sincos^2x=sinx

Mathematics
1 answer:
almond37 [142]3 years ago
6 0

Step-by-step explanation:

factor sin(x) out of the equation

sin(x) * (sin^{2} (x) + cos^{2} (x)) = sin(x)

Use the trigonometric identity sin^{2} (x) + cos^{2}(x) = 1

sin(x) * 1 = sin(x)

sin(x) = sin(x)

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Pool A is leaking. After 15 minutes, pool A has leaked 2/3 gallon. What is the rate that pool is leaking per hour? HELP ASAP!!!!
Sphinxa [80]

The unit rate is: 8/3 gallons per hour

Step-by-step explanation:

Given

Time = 15 minutes

As the unit rate has to be calculated per hour so, time has to be converted into hours

15\ min = \frac{15}{60}\ hours\\= \frac{1}{4}\ hour

Water leakage = 2/3 gallons

Unit\ rate = \frac{\frac{2}{3}}{\frac{1}{4}}\\= \frac{2}{3} * 4\\= \frac{8}{3}

Hence,

The unit rate is: 8/3 gallons per hour

Keywords: Fractions, unit rate

Learn more about fractions at:

  • brainly.com/question/7437053
  • brainly.com/question/7361044

#LearnwithBrainly

6 0
3 years ago
How do you write the problem fifteen more than twice a number is eight more than three times the number?
Evgen [1.6K]
we call n - the number 

2×n + 15 = 3×n + 8


2×n - 3×n = 8 - 15

-n = -7  │ ×(-1)

n=7
5 0
3 years ago
What does 1694 quarter hours convert to in hours?
tino4ka555 [31]
1694/4 = 423,5
Answer: 423,5 hours.
8 0
3 years ago
I'M SO STUPID<br> SO PLEASE HELP YA GIRL OUT
Karo-lina-s [1.5K]
123 is a linear pair with the inside angle so
180-124= 57. Now we have two inside angles and a triangle has to be 180 degrees so
57+42=99 we know that both angles equals 99 so
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180-81=99
X is equal to 99. You can also do corresponding angles and have X be 99 because of the inside angle that’s also 99
7 0
3 years ago
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A cookie factory uses 5/8 of a bag of chocolate chips in each batch of cookies. The factory used 8 1/8 bags of chocolate chips y
Alecsey [184]

Answer:

13

Step-by-step explanation:

8 1/8

/

5/8

====

13

3 0
3 years ago
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