Which of the following is the length of the unknown leg of a right triangle that has one leg length of 13 feet and a hypotenuse of 22 feet? (Round to the nearest tenth.)

A. 20 feet

B. 14.4 feet

C. 8.9 feet

D. 17.7 feet

Answer Explanation:

Let the unknown length of the x. The resulting rectangle is shown below.

Then, we apply the Pythagoras theorem to find the value of x as:

The value of the unknown length is approximately 17.7 feet.

Therefore, the Correct Answer is D.

Q #1: A pharmaceutical company’s stock price was $33.65 on Monday. On Tuesday, the price went up $1.23. On Wednesday, the price decreased from Tuesday’s price by $0.97. On Thursday, the price went up $2.75 from Wednesday’s price. Which of the following was the final price on Thursday?

A. $33.65

B. $33.91

C. $34.88

D. $36.66

Answer Explanation

The final price of the stock on Thursday can be found by finding the price on the previous day taking into account the price changes as follows.

The price of the stock on Monday was $33.65

On Tuesday the price of the stock went up by $1.23 from Monday’s price. Then, Tuesday’s price was $(33.65+1.23)=$34.88

The price of the stock on Wednesday decreased by $0.97 from Tuesday’s price. The price on Wednesday became $(34.88-0.97)=$33.91

Thursday’s price increased by $2.75 from Wednesday’s price, which was $(33.91+2.75)=$36.66

Therefore, the final price of the stock on Thursday was $36.66.
Q #2: A baker is using a cookie recipe that calls for 3 ¼ cups of flour to yield 64 cookies. How much flour will the baker need to make 130 cookies using the same recipe?

A. 6 77/128 cups

B. 5 5/128 cups

C. 10 1/28 cups

D. 4 81/128 cups

Answer Explanation

we are asked to find the number of cups of flour that will be used to make 130 cookies.

First, we convert 3 ¼ into improper fraction as:

Letting x to be the number of cups of flour, we set up a proportion equation with number of cookies on numerator and number of cups of flour on the denominator becomes:

Solve the value of x by cross-products

Dividing both sides by 64, the above equation result to

Thus, the number of cups of flour needed to make 130 cookies is 845/128 cups, which is equal to 6 77/128 cups.
Q #3: Solve for w in the equation below.

A. w=rxy+z

B. w=(x/ry)+(z/r)

C. w=y(z+rx)

D. w=(x/ry)-(z/r)

Answer Explanation

We are asked to make w the subject of the formula.

First, we rearrange the equation by to ensure w is on the right hand of the equation.

Then, divide both sides by r

Multiply both sides by y

The above equation can be rearranged into

Thus, the formula for finding the value of w is (x/ry)-(z/r).