if a and b are the measures of two first quadrant angles and sin a = 4/5 and sin b = 5/13, find sin a+b.

Answers

Answer 1

Answer: given that sin a= 4/5
cos a= √(1-sin²a)
   = √(1-16/25)
   = √(9/25)
   = 3/5
sin b=5/13
cos b= √(1-sin²b)
   = √(1-25/169)
   = √(144/169)
   = 12/13

sin(a+b)= sin a· cos b + cos a · sin b
      = 4/5· 12/13 + 3/5· 5/13
      = 48/65+15/65
   = 63/65
hope it helps

Answer 2

Answer:

Answer:

[A] sin(a + b) = $(63)/(65)$

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Answers

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A student was asked to use the formula for the perimeter of a rectangle, p = 2l 2w, to solve for l. the student came up with an answer, p -2w=2l. what error did the student make? explain. then solve for l

Answers

A student was asked to use the formula for the perimeter of a rectangle, p = 2l 2w, to solve for l. the student came up with an answer, p -2w=2l. what

A certain aquarium holds 20 gallons of water. How many quarts of water does the aquarium hold?

Answers

The aquarium holds 80 quarts of water.

We have,

In the United States customary system, there are 4 quarts in 1 gallon.

This conversion factor is a constant ratio that allows us to convert between gallons and quarts.

So, when we have 20 gallons of water, we can multiply it by the conversion factor of 4 quarts/gallon to find out how many quarts it is equivalent to:

20 gallons x 4 quarts/gallon = 80 quarts

Therefore,

The aquarium holds 80 quarts of water.

The conversion factor helps us determine the equivalent amount of one unit to another.

Learn more about unitconversion here:

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Let's find out what 1 gallon of water is first.1 gallon is equivalent to 4 quarts.20 gallon is equivalent to 80 quarts.What we do here is to multiply: 20 gallons • 4 quarts = 80 quartsThe answer is 80 quarts.

Miguel wants to make 5 inch line can he do this using the 1/2 in strip that he has.Explain