Rewrite the following rational expression with a new denominator as indicated. 4/15;90

Answers

Answer 1
Answer: 90/15 is 6, so you multiply 4 by 6 to get 24, which makes the fraction 24/90

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

Answers

A=x\n\nsin5x=5cos^4xsinx-10cos^2xsin^3x+sin^5x\n\nL=sin(3x+2x)=sin3xcos2x+sin2xcos3x=(*)\n-------------------------------\nsin3x=sin(2x+x)=sin2xcosx+sinxcos2x\n=2sinxcosxcosx+sinx(cos^2x-sin^2x)\n=2sinxcos^2x+sinxcos^2x-sin^3x=3sinxcos^2x-sin^3x\n-------------------------------

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

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

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

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

=======================================\n\nsin(\alpha+\beta)=sin\alpha cos\beta+sin\beta cos\alpha\n\ncos(\alpha+\beta)=cos\alpha cos\beta-sin\alpha sin\beta\n\nsin2\alpha=2sin\alpha cos\alpha\n\ncos\alpha=cos^2\alpha-sin^2\alpha

True or False.An artist plans to construct an open box from a 15 in. by 20 in. sheet of metal by cutting squares from the corners and folding up the sides.

Answers

Answer:

True.

Step-by-step explanation:

The artists is using simple math. When cutting squares from the corners he uses the same measure for each side of the figuer (because is a square) and the remaining sides thatare folded havethe same measures as the squares.

Cutting each side with the correct percent of the total surface in order to go from 20 in to 15 in.

Two angles are complementary. If one angle measures 25 degrees, what is the measure of the second angle?A. 65 degrees
B. 75 degrees
C. 155 degrees
D. 165 degrees

Answers

Answer:

i think its C also

Step-by-step explanation:

I believe it is c.155 degrees

A closed container has 5.04 ⋅ 1023 atoms of a gas. Each atom of the gas weighs 1.67 ⋅ 10–24 grams.Which of the following shows and explains the approximate total mass, in grams, of all the atoms of the gas in the container?

Answers

Answer:

Step-by-step explanation:

Each atom of the gas weighs 1.67 ⋅ 10−24 grams. 6.71 grams, because (5.04 + 1.67) ⋅ (1023⋅ 10−24 ) = 6.71. ... 0.67 grams, because (5.04 + 1.67) ⋅ (1023⋅ 10−24 ) = 6.71 ⋅ 10−1.

Hey guys, I got positive 2 for this one but there is only -2. PLS help! Solve the equation -25p – 2 = 48 for p. A. -2 B. 1 C. 3 D. 8

Answers

Answer:

p=-2

Step-by-step explanation:

-25p-2=48

Take 2 to the other side which becomes positive

-25p=48+2

-25p=50

Divide both sides by the coefficient of x that is -25

-25p/-25=50/-25

p=-2

Answer:

A. p= -2

Step-by-step explanation:

To solve this equation, we need to find out what p is. In order to do this, we must get p by itself on one side of the equation. Perform the inverse operations to both sides of the equation.

-25p-2=48

2 is being subtracted from -25p. The inverse of subtraction is additon. Add 2 to both sides.

-25p-2+2=48+2

-25p=48+2

-25p=50

p is being multiplied by -25. The inverse of multiplication is division. Divide both sides by -25.

-25p/-25=50/-25

p=50/-25

p=-2

Let's check our solution. Plug -2 in for p in the original equation.

-25p-2=48

-25(-2)-2=48

50-2=48

48=48

Both sides are the same, so we know our solution is correct.

A store offers packing and mailing services to customers. This table is given to customers to help them estimate the cost of shipping a box based on its weight in pounds, and a flat rate of $5 for packing. Which equation represents the shipping cost as a function of x, the weight in pounds? a. f(x) = 2.25x + 5. b. f(x) = 3.5x + 4. c. f(x) = 4x + 9. d. f(x) = 9x + 14

Answers

Answer:

f(x) = 2.25x + 5

Step-by-step explanation:

As given, the cost of shipping a box is based on its weight in pounds, and a flat rate of $5 for packing. This means $5 is common for each parcel that will be sent. Only the weight will vary.

So, option first f(x)=2.25x+5 is the correct answer. Here 2.25 is the per pound rate. Like if someone wants to send a parcel weighing 3 pounds, the price will be :

f(x)=2.25*3 +5

= $11.75

The function that shows the shi[ping cost as a function of x is f(x) = 2.25x + 5.

How is the function related to the shipping cost?

The function tells us that there is a constant 5. This constant is the flat rate of 5 dollars which is the rate for packing.

X is a variable whose values can change based on the weight of the package that is to be sent.

Read more on functions here:

brainly.com/question/25638609

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