All categories

4 years ago

A rectangular book measures 18 x 9. What is the length of its diagonal? Round your answer to the nearest tenth

Mathematics

1 answer:

avanturin [10]4 years ago

6 0

Answer:

20.1246118 or 20.12

Step-by-step explanation:

First draw the box with the diagonal, as you can see it is split into 2 equal right triangles. Now use the pythagorean theorem (a^2+b^2=c^2) to find the length of the diagonal

You might be interested in

Name the quadrant or axis where each point lies.

makkiz [27]

Point A is in Quadrant I where the x and y are both positive.

Point B lies in between Quadrants II and III. Or it lies on the x-axis (If this is an option).

6 0

3 years ago

Read 2 more answers

A random sample of 6 homes in Gainesville, Florida between 1800 and 2200 square feet had a mean of 212990 and a standard deviati

Andrej [43]

Answer:

The 95% confidence interval for the average price of a home in Gainesville of this size is between 183,772.5 square feet and 242,207.5 square feet.

Step-by-step explanation:

We have the standard deviation of the sample, so we use the students t-distribution.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 6 - 1 = 5

Now, we have to find a value of T, which is found looking at the t table, with 5 degrees of freedom(y-axis) and a confidence level of 0.95( $t_{95}$ ). So we have T = 2.015

The margin of error is:

M = T*s = 2.015*14500 = 29217.5.

In which s is the standard deviation of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 212990 - 29217.5 = 183,772.5 square feet

The upper end of the interval is the sample mean added to M. So it is 212990 + 29217.5 = 242,207.5 square feet

The 95% confidence interval for the average price of a home in Gainesville of this size is between 183,772.5 square feet and 242,207.5 square feet.

3 0

3 years ago

Franklin Porter purchased a waterbed for $4,500. He made a 20 percent down payment and financed the remainder. What amount did h

ira [324]

To find the amount that Franklin financed, you will calculate the amount he put down and subtract that from the original price because that is what he still owes.

0.2 x $4500 = $900
$4500 - $900 = $3600.

Porter financed $3600.

You also multiply 0.8 x $4500 because this represents the part out of 100% he still owes. You will get the same answer this way.

3 0

3 years ago

Divide 42 in the ratio of 4:3

lubasha [3.4K]

42 in a 4x to 3x ratio

4x + 3x = 42
7x = 42
x = 6

43 can be put in a 4(6) to 3(6) ratio

which is a 24 to 18 ratio, also written as 24:18

Note:
<span>a(b) = ab = a x b = a times b</span>

8 0

4 years ago

Combine the following expressions. Help pleaseeeeeeeeeeeeeeeeeee

spin [16.1K]

Answer:

it's the third one

4 0

4 years ago

Read 2 more answers