All categories

3 years ago

Find the value of each variable. Write answers in simplest radical form.

Mathematics

1 answer:

ExtremeBDS [4]3 years ago

8 0

Answer:

The value of n is 6.

Step-by-step explanation:

Given that these 2 triangles form a square so we can assume that all sides are same. Then, we have to apply Pythagoras Theorem, a² + b² = c², where a, b are sides and c is hypotenuse :

n² + n² = (6√2)²

2n² = 6² × (√2)²

2n² = 72

n² = 72 ÷ 2

n² = 36

n = √36

n = 6

You might be interested in

36x-6 distributive property

Ahat [919]

Answer:

36x-6=0

36x-6+6=0+6

36x=0+6

36x=6

x=6÷36

x=6

3 0

2 years ago

12. The geographic grid apportions the globe into hemispheres of 180 lines of longitude. Based on your knowledge of basic geomet

ANEK [815]

Answer:

For the first question, 180 degrees equals to a half of the sphere. For the second question, you need 24 central meridians for a complete sphere, which are exactly the hours in a day.

Step-by-step explanation:

A sphere is basically a 3D circle. As a circle has 360 degrees, 180 degrees would be half of a circle. Imagine you are on a satellite over the north pole or the south pole and you have a way to cut the earth by the middle. You will get two halves of sphere.

About the second question, you may need to have in mind that a day is the time spent for the earth to rotate all 360 degrees over its own axis. British fellow, on XIX century, decided they were the center of the world. As previously, back in the days, some other people decided a day had 24 hours, they decided to draw this lines and divide the earth in 24 pieces, so they could knew which time was on every point their extense kingdom had. As I said, a circle has 360 degrees, (360 degrees)/(24 hours) equals to 15 degrees.

5 0

4 years ago

A bouqet had 10 flower and sold it for 90$ which is the rate of $_ per flower

lana [24]

Answer:

$9 per flower

Step-by-step explanation:

divide cost ($90) by the number of items (10 flowers)

6 0

3 years ago

Read 2 more answers

three fourth grade classes decided to collect gloves for donation. Ms James class collected 3x as many gloves as Ms. Stone. Mr H

Elina [12.6K]

They would collect 278 per class

4 0

3 years ago

Two towns are 1,100 miles apart. A group of hikers Starts from each town and walks down the trail toward each other. They meet a

OLga [1]

Answer:

3.54 and 1.04

Step-by-step explanation:

Given:

Two towns are 1,100 miles apart.

A group of hikers Starts from each town and walks down the trail toward each other..

They meet after a total hiking time of 240 hours.

If one group travels 2 1/2 mile per hour slower than the other group.

Question asked:

Find the rate of each group.

Solution:

Let speed of faster hiker = $x\ mph$

Speed of slower hiker = $x-\frac{5}{2}\ mph$

As we know:

$Distance=speed\times time$

Total distance between two town = Total combined speed of both hikers $\times$ Total combined time taken

$1100=(x+x-\frac{5}{2} )\times240\\ \\ Dividing\ both\ sides\ by\ 240\\ \\ 4.58=(x+x-\frac{5}{2} )\\ \\ 4.58=2x-\frac{5}{2} \\ \\Adding\ both\ sides\ by\ \frac{5}{2} \\ \\ 4.58+ \frac{5}{2}=2x- \frac{5}{2}+ \frac{5}{2}\\ \\ \frac{2\times4.58+5}{2} =2x\\ \\ \frac{14.16}{2} =2x\\ \\ By \ cross\ multiplication\\ \\ 2\times2x=14.16\\ \\ 4x=14.16$

$By\ dividing\ both\ sides\ by \ 4\\ \\ x=3.54\ miles\ per\ hour$

Speed of faster hiker = $x\ mph$ = 3.54 miles per hour.

Speed of slower hiker = $x-\frac{5}{2}\ mph$ =

$3.54-\frac{5}{2} =3.54-2.5=1.04\ miles\ per\ hour$

Therefore, speed of faster hiker is 3.54 miles per hour and speed of slower hiker is 1.04 miles per hour.

8 0

3 years ago