The intersection of the two sides of an angle is called it’s?

Aless and Louis are going to put a rectangular pool in their backyard. The cost of installation is $6,000. If the dimensions of

lana [24]

Answer:

cost of the pool per cubic meters = $5

Step-by-step explanation:

The rectangular pool has a dimension of 30 m by 20 m by 2 m. To know the cost of the pool per cubic meter we have to calculate the volume of the pool . Then divide the total cost of the pool by it volume.

volume of the rectangular pool = length × height × width

volume of the rectangular pool = 30 × 20 × 2

volume of the rectangular pool = 1200 m²

The cost of installation is $6000 . The volume of the pool is 1200 cubic meters.

cost per cubic meters = total cost of installation/volume

cost per cubic meters = 6000/1200

cost of the pool per cubic meters = $5

7 0

3 years ago

Prove that the triangle EDF is isosceles. Give reasons for your answer.

Gekata [30.6K]

Answer:

$\triangle EDF$ is isosceles.

Step-by-step explanation:

Please have a look at the attached figure.

We are given the following things:

$\angle EDF = y$

$\text{External }\angle DFG = 90 +\dfrac{y}{2}$

Let us try to find out $\angle E$ and $\angle DFE$ . After that we will compare them.

Finding  $\angle DFE$ :

Side EG is a straight line so $\angle GFE = 180$

$\angle GFE$ is sum of internal $\angle DFE$ and external $\angle DFG$

$\angle GFE = 180 = \angle DFE + \angle DFG\\\Rightarrow 180 = \angle DFE + (90+\dfrac{y}{2})\\\Rightarrow \angle DFE = 180 - 90 - \dfrac{y}{2}\\\Rightarrow \angle DFE = 90 - \dfrac{y}{2} ....... (1)$

Finding  $\angle E$ :

Property of external angle: External angle in a triangle is equal to the sum of two opposite internal angles of a triangle.

i.e. external $\angle DFG$ = $\angle E + \angle EDF$

$\Rightarrow 90+\dfrac{y}{2} = \angle E + y\\\Rightarrow \angle E = 90+\dfrac{y}{2} -y\\\Rightarrow \angle E = 90-\dfrac{y}{2} ....... (2)$

Comparing equations (1) and (2):

It can be clearly seen that:

$\angle DFE = \angle E =90-\dfrac{y}{2}$

The two angles of $\triangle EDF$ are equal hence $\triangle EDF$ is isosceles.

8 0

3 years ago

Anna has 10 to the 2nd power quarters. Jazmin has 10 to the second power dimes Who has more money, Anna or Jasmine? How much mor

Hoochie [10]

Anna has 100 quarters and jazmin has 100 dimes 100 dimes are equal to 10.00 and 100 quarters are equal to 25.00 Anna has more

6 0

3 years ago

A very small dinosaur, the Microraptor, was only 1.3 feet long, One of the larger dinosaurs, the diplodocus, was about 91 feet l

snow_lady [41]

Divide 90 by 1.3 and you will get your answer.

Do it yourself! just follow instructions!

<3

6 0

4 years ago

Read 2 more answers

20, 17,16, 17, 18, 16, 18, 19 what is the mode of the data set?

pychu [463]

Answer:

16,17 and 18

Step-by-step explanation:

In statistics mode of a set of entries is the entry which is repeated maximum. There can be more than one mode in a set of entries. These are called mode,

Bimode ( two mode ) , trimode ( three mode ) and Multimode ( four or more ) .

Hence here our set of entries is,

20,17,16,17,18,16,18,19

arranging them in ascending order

16,16,17,17,18,18,19,20

hence in this case we see that 16,17and 18 all are getting repeated for two times, the maximum.

Hence we have a trimode here

16,17,18

7 0

3 years ago