42 inches to 54 inches

Juliette [100K]

This is a 3-4-5 triangle.

Remember,
SOH-CAH-TOA

S(ine) = O(pposite)/H(ypotenuse)
C(osine) = A(djacent)/H(ypotenuse)
T(angent) = O(pposite)/A(djacent)

In Cosine, the adjacent = 3, and the Hypotenuse = 5

Hypotenuse is the longest side.

3,4,5 is the triangle that fits inside, therefore, the Opposite is 4, and Adjacent is 3

T(angent) = O(pposite)/A(djacent)

Plug in the numbers

T = 4/3

tan = 4/3 is your answer

hope this helps

6 0

3 years ago

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Questions 1-3 40 points

meriva

Answer:

16%

Step-by-step explanation:

The additional wage amount is $80.

The original wage amount is $500.

The ratio of the two is ...

$80/$500 = 0.16 = 16/100

To express that ratio as a percentage, multiply it by 100%.

0.16 × 100% = 16%

_____

It might help you to think of the percent sign (%) as a fancy way to write "per hundred" (/100). Of course, using your knowledge of place value, you know that 0.16 = sixteen hundredths = 16/100.

Realizing the meaning of the % sign, you can immediately write this as 16%.

4 0

3 years ago

Grant made a $2800 investment that piece is simple interest rate at 6% per year. To the nearest hundredth which of the following

VARVARA [1.3K]

F i just did that question on a test a while ago

6 0

3 years ago

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Which of the following expressions is equivalent to 3x + 3x + 5 + 5?

Kipish [7]

Remember
ab+ac=a(b+c0

3x+3x+5+5
2(3x)+2(5)
2(3x+5)

2nd option

4 0

3 years ago

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The rule of 72 is used to determine how long it will take an investment to ___. For an Investment of $5,000 earning 7% annually,

Gnom [1K]

Answer:

The rule of 72 is used to determine how long it will take an investment to Double

For an Investment of $5,000 earning 7% annually, this will take about ten years

Step-by-step explanation:

The rule of 72 says that to find the number of years required to double your money at a given interest rate, you just divide 72 by the interest rate

Example:

If you want to know how long it will take to double your money at 9% interest, divide 72 by 9 you will get 8 years

The formula of the rule of 72 is Y = $\frac{72}{r}$

Let us complete the missing

The rule of 72 is used to determine how long it will take an investment to Double

The missing word is "Double"

∵ The investment is $5,000

∵ The annual interest is 7%

- By using the rule of 72

∵ Y = $\frac{72}{r}$

∵ r = 7

∴ Y = $\frac{72}{7}$

∴ Y = 10.29

- Round it to the nearest year

∴ Y ≅ 10 years

For an Investment of $5,000 earning 7% annually, this will take about ten years

The missing word is "ten"

5 0

3 years ago