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VladimirAG [237]

2 years ago

6

Calculate 15% of $490.

1 answer:

Lady bird [3.3K]2 years ago

6 0

15 divided by 100 times 490

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I will give 5 points

ikadub [295]

Use the sum of cubes factoring rule

$a^3 + b^3 = (a+b)(a^2 - ab + b^2)$

to transform the left hand side into the right hand side.

$\frac { \sin^{3} \theta + \cos^{3} \theta } { \sin \theta + \cos \theta } = 1 - \sin \theta \cdot \cos \theta\\\\\frac { (\sin \theta + \cos \theta)(\sin^2 \theta - \sin \theta \cdot \cos\theta + \cos^2 \theta) } { \sin \theta + \cos \theta } = 1 - \sin \theta \cdot \cos \theta\\\\$

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

Throughout the entire process, the right hand side stayed the same.

On the last step, I used the pythagorean identity.

8 0

1 year ago

What are the first five terms of an arithmetic sequence if a 17 = ‒40 and a 28 = ‒73? A. 8, 11, 14, 17, 20 B. 8, 5, 2, ‒1, ‒4 C.

Allisa [31]

The common difference
(-73 - -40)/(28 - 17) = -3
Term a1: -40 - (-3*(17-1)) = 8
Term a2: 8+-3=5
Term a3: 2
Term a4: -1
Term a5: -4

3 0

3 years ago

What is the ratio 15 girls to 6 boys in simplest form?

Alenkinab [10]

5 girls to 2 boys, it’s not asking for boys and girls

4 0

2 years ago

Read 2 more answers

Umm a little help pls?!

k0ka [10]

Answer:

116 degrees

Step-by-step explanation:

Supplementary Angles=180 degrees

64+x=180

180-64=116

116=116

6 0

2 years ago

Read 2 more answers

How many odd 2-digit positive integers greater than 30 are there?

alexgriva [62]

Answer:

There are 70 two digit numbers that are greater than or equal to 30

Step-by-step explanation:

hope it helps you

6 0

2 years ago

Read 2 more answers