Multi-step: this week, maddie worked 2 1/2 hours on monday, 2 2/3 hours on tuesday, and 3 1/4 hours on wednesday. how many more hours will madie need to work this week to make her goal of 10 1/2 hours a week? ( show steps )

2 1/12

Step-by-step explanation:

Maddie wants her total hours to be 10 1/2. That is, she want the sum of the daily hours to be that value:

... 10 1/2 = 2 1/2 + 2 2/3 + 3 1/4 + (more hours)

Subtracting the contant terms on the right, we can find the value of (more hours).

... 10 1/2 - 2 1/2 - 2 2/3 - 3 1/4 = (more hours)

Doing the subtraction left to right, we have

... 8 - 2 2/3 - 3 1/4 = (more hours)

... 5 1/3 - 3 1/4 = (more hours)

... 2 1/12 = (more hours)

The only subtraction that may require any extra effort is subtracting 1/4 from 1/3.

... (1/3) - (1/4) = (4/12) - (3/12) = (4 -3)/12 = 1/12

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If you play with fractions very much, this is a number fact you will have run across before.

answer:   28.56 feet (approx)

step-by-step explanation:

since, triangle abc has measure of angle c equal to 55 degrees, measure of angle abc equal to 90 degrees, and length of bc equal to 20 feet.

we have to find out the measurement of segment ab.

therefore, tan 55° =

but bc = 20 feet.

⇒ tan 55 ° =  

⇒ ab = 20 × tan 55 °

⇒ ab = 20 × 1.42814800674

⇒ ab = 28.5629601348   ≈ 28.56 feet