MATHEMATICS HIGH SCHOOL

Find theta if theta is between 0 degrees and 90 degrees and tan theta = 7/8, find cos theta

Answers

Answer 1
Answer: tan θ = 7/8
θ = tan^-1 (7/8) = 41.2 degrees

cos θ = 0.7526
Answer 2
Answer:

Answer: see below

Step-by-step explanation:

Presuming you meant this

0< θ < 90 degree; tan (θ) = 7/8     find cos (θ)

Using the identity

1 + tan²θ = sec²θ  (where sec θ = 1/cosθ)

cosθ = √{1/(1 + tan²θ)} = √{ 1/(1 + (7/8)²} = √{ 1/(1 + 49/64)}

= √{ 64/113} = 8/√113   <= answer.

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Ernie deposited $4000 between two savings accounts. One account paid 4% simple interest and the other paid 2%. At the end of one year, Ernie had earned $140 in interest for both accounts. How much money did Ernie deposit in the account that paid 4% interest?A) $2000
B) $2500
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Answers

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What is 1/2 of a liter in mL?

Answers

1 \ liter = 1000 \ mL \n \n(1)/(2) * 1000 = 500 \ mL
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How do you round 18.194 to the tenths hundredths and ones

Answers

If you want to round it to the tenths it will be 18.200 because if the number is greater than 5 ( 9) then u round up 1 number. If it was not a 9 and it was for example 2, it will be 18.190. If it is less than 5 then u round to 0

In a right-triangle shaped house, the roof is 61 feet long and the base of thehouse is 11 feet across. Calculate the height of the house.

Answers

Answer:

on model the house forms a right triangle in B, ABC

AC=61

BC=11

we are looking for AB the height

Pythagore's theorem

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Tom conducted a drawing competition at school. He bought 5 boxes of colored pencils and spent $5.25 on drawing paper. However, more contestants entered than he expected, and he had to buy 2 more boxes of colored pencils. The total cost of the paper and pencils was $82.95. Identify the equation and solution that would help to find the cost of each box of pencils.

Answers

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Can u Simplify 1 1/16

Answers

Answer:

11/16 they cannot be divided, it would remain ig

answer

11/16÷1= 11/16

11/16÷2 I don't know they can divide :)
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