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3 years ago

Which is a multiple of 15 3,5,55,60

1 answer:

4 0

Remember that multiples are numbers that can be divided by a number without a remainder so in this case you could add 15 by 15 to find what number in this set is a multiple of 15.

$15+15=30$

$30+15=45$

$45+15=60$

$=60$

Therefore your answer is "60."

Hope this helps.

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Find the distance between the points ( 19 , 16 ) and ( − 13, 10 )

Inessa [10]

Answer:

$\sqrt{1060}=32.55..... or 32.6$

Step-by-step explanation:

$\sqrt{(-13-19)^2+(10-16)^2}$

$\sqrt{(-32)^2+(-6)^2}$

$\sqrt{1024+36}$

$\sqrt{1060}=32.55..... or 32.6$

hope this helps

7 0

3 years ago

Prove-: sin5A = 5cos^4 A sinA - 10cos^2 A sin^3 A + sin^5 A

jeyben [28]

$A=x\\\\sin5x=5cos^4xsinx-10cos^2xsin^3x+sin^5x\\\\L=sin(3x+2x)=sin3xcos2x+sin2xcos3x=(*)\\-------------------------------\\sin3x=sin(2x+x)=sin2xcosx+sinxcos2x\\=2sinxcosxcosx+sinx(cos^2x-sin^2x)\\=2sinxcos^2x+sinxcos^2x-sin^3x=3sinxcos^2x-sin^3x\\-------------------------------$

$sin3xcos2x=(3sinxcos^2x-sin^3x)(cos^2x-sin^2x)\\=3sinxcos^4x-3sin^3xcos^2x-sin^3xcos^2x+sin^5x\\=3sinxcos^4x-4sin^3xcos^2x+sin^5x\\-------------------------------$

$cos3x=cos(2x+x)=cos2xcosx-sin2xsinx\\=cosx(cos^2x-sin^2x)-2sinxcosxsinx\\=cos^3x-sin^2xcosx-2sin^2xcosx=cos^3x-3sin^2xcosx\\-------------------------------$

$sin2xcos3x=2sinxcosx(cos^3x-3sin^2xcosx)\\=2sinxcos^4x-6sin^3xcos^2x\\-------------------------------$

$
(*)=3sinxcos^4x-4sin^3xcos^2x+sin^5x+2sinxcos^4x-6sin^3xcos^2x\\\\=5sinxcos^4x-10sin^3xcos^2x+sin^5x=R$

$=======================================\\\\sin(\alpha+\beta)=sin\alpha cos\beta+sin\beta cos\alpha\\\\cos(\alpha+\beta)=cos\alpha cos\beta-sin\alpha sin\beta\\\\sin2\alpha=2sin\alpha cos\alpha\\\\cos\alpha=cos^2\alpha-sin^2\alpha$

5 0

3 years ago

Please help I’m very confused

Drupady [299]

Answer:

147

Step-by-step explanation:

The ∑ symbol means sum the term inside 4n + 1 from n = 2 to n = 8

Substitute n = 2, 3, 4, 5, 6, 7, 8 into the expression and sum the results , that is

4(2) + 1 + 4(3) + 1 + 4(4) + 1 + 4(5) + 1 + 4(6) + 1 + 4(7) + 1 + 4(8) + 1

= 9 + 13 + 17 + 21 + 25 + 29 + 33

= 147

8 0

3 years ago

jared has $50 to spend on some new clothes for school. If the sales tax rate in his state is 6% and the pre tax total comes$48.9

Law Incorporation [45]

Answer:

No, he won't have enough money to make the purchase.

The sales tax is 2.9352

The total amount for the purchase is 51.8552

So, $50 is not enough to make the purchase.

Step-by-step explanation:

I used a calculator.

5 0

3 years ago

The directions for a homemade glass cleaner call for 1 part vinegar to 4 parts water. Mr. Gilbert mixed 2 cups of vinegar with 5

PolarNik [594]

No.
EXPLANATION:
To tackled this problem we should find an equivalent denominator.

We find that the lcm ( lowest common denominator ) is 20.

1 x 5 = 5
4 x 5 = 20

2 x 4 = 8
5 x 4 = 20.

so the answer is no.

3 0

3 years ago

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Which is a multiple of 15 3,5,55,60​

Which is a multiple of 15 3,5,55,60