Which of the following is the length of the unknown leg of a right triangle that has one leg length of 10 feet and a hypotenuse of 14 feet? (Round to the nearest tenth.)

Amount of salary will vary if the other three variables change. Therefore, salary is a dependent variable.

the mean of a data set is the sum of the scores divided by the number of tests.

Total test scores =99+93+67+ 48+ 92+ 87=486

Number of tests =6

Mean test score =486/6=81

The mean test score is 81.

We are asked to find the fraction of pizza the three friends shared equally.

First, the whole pizza is represented by 1. If one friend ate a quarter of the pizza, then:

First friend eats =1/4 of 1=1/4*1=1/4

Remaining fraction of the pizza=1-1/4=3/4

Now, the three friends share 3/4 amongst themselves equally. So, each friend gets

The three friends each gets 1/4 of the pizza.

we use the relation 1 L=1000 mL and organize our equation in such a way that L cancels as:

Thus, 0.65 L is 650 mL.

we are asked to find the percent change in weight gain of a person.

First, we need to find the change in weight gained over the 4 months

Change in weight= 186-176=10 lb

The percent change is expressed as change in weight over original weight *100. Then

The percent change in weight is 6% to the nearest whole number.

An independent variable is a variable that is manipulated or changed in the experiment. From the given equation, x is variable that is changed to obtain the desired outcome, F(x). Therefore, x is an independent variable.

To find the greatest number from the given set, we first convert the decimal numbers into fractions.

12.35 becomes 1235/100

11.46 becomes 1146/10

Then, the LCM for the denominators of the given fractions of 2, 100, 3 and 10 is 300. Now we multiply each fraction with 300, which we will use to compare the give set.

25/2*300=3750

1235/100*300=3705

40/3*300=4000

1146/10*300=3438

From the calculated values, 4000 is the greatest value. Then, 40/3is the greatest value.

we need to find the circumference of the circle from the given area.

The first step is to find the radius of the circle using the given area. Let r be the radius of the circle, then:

Substituting the value of area in the above equation becomes

Dividing both sides by pi and taking square root on both sides yields

Now, we know the radius of circle to be  9 in, the circumference of the circle becomes,

  in.

notice that the question compares the cup of flour and the cup of milk. We can therefore set up our ratios as cup of floorcup of milk. If we let the x be the number of cups of milk needed, then

As a mixed fraction, 70/3 becomes 23 1/3, which represents the number of cups of milk needed to make a big batch of 5 cups.

The slope represents the ratio of rise to run. Let p be the minimum length of the ramp, we can set a ratio equation as follows. Then,

The minimum length of the ramp needed is 18 feet to access to a door that is 1.5 feet above the sidewalk.