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3 years ago

I need the answer plz

Mathematics

1 answer:

lakkis [162]3 years ago

5 0

Answer:

GH = 7 $\sqrt{2}$

Step-by-step explanation:

Using the sine ratio in the right triangle and the exact value

sin45° = $\frac{1}{\sqrt{2} }$

sin45° = $\frac{opposite}{hypotenuse}$ = $\frac{HI}{GH}$ = $\frac{7}{GH}$ = $\frac{1}{\sqrt{2} }$ ( cross- multiply )

GH = 7 $\sqrt{2}$

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Find the volume of the cubes or rectangular prisms in cubic centimeters.

DanielleElmas [232]

a) Volume of Rectangular prism is $\frac{36}{125}\,\,cm^3$

b) Volume of cube is $\frac{8}{125}\,\,cm^3$

c) Volume of cube is $\frac{1}{125}\,\,cm^3$

d) Volume of Rectangular prism is $\frac{6}{125}\,\,cm^3$

Step-by-step explanation:

Part a)

Volume of rectangular prism with

length= $\frac{3}{5}\,\,cm$

width= $\frac{4}{5}\,\,cm$

height = $\frac{3}{5}\,\,cm$

The formula used to find Volume of rectangular prism is:

$Volume\,\,of\,\,rectangular\,\,prism=length*width*height$

Putting values:

$Volume\,\,of\,\,rectangular\,\,prism=\frac{3}{5} *\frac{4}{5} *\frac{3}{5}\\Volume\,\,of\,\,rectangular\,\,prism=\frac{36}{125}\,\,cm^3$

So, Volume of Rectangular prism is $\frac{36}{125}\,\,cm^3$

Part b)

Volume of cube with side length of $\frac{2}{5}\,\,cm$

The formula used to find Volume of cube is:

$Volume\,\,of\,\,cube=length^3$

Putting value of length and finding volume:

$Volume\,\,of\,\,cube=length^3\\Volume\,\,of\,\,cube=(\frac{2}{5})^3\\ Volume\,\,of\,\,cube=\frac{8}{125}\,\,cm^3$

So, Volume of cube is $\frac{8}{125}\,\,cm^3$

Part c)

Volume of cube with side length of $\frac{1}{5}\,\,cm$

The formula used to find Volume of cube is:

$Volume\,\,of\,\,cube=length^3$

Putting value of length and finding volume:

$Volume\,\,of\,\,cube=length^3\\Volume\,\,of\,\,cube=(\frac{1}{5})^3\\ Volume\,\,of\,\,cube=\frac{1}{125}\,\,cm^3$

So, Volume of cube is $\frac{1}{125}\,\,cm^3$

Part d)

Volume of rectangular prism with

length= $\frac{1}{5}\,\,cm$

width= $\frac{2}{5}\,\,cm$

height = $\frac{3}{5}\,\,cm$

The formula used to find Volume of rectangular prism is:

$Volume\,\,of\,\,rectangular\,\,prism=length*width*height$

Putting values:

$Volume\,\,of\,\,rectangular\,\,prism=\frac{1}{5} *\frac{2}{5} *\frac{3}{5}\\Volume\,\,of\,\,rectangular\,\,prism=\frac{6}{125}\,\,cm^3$

So, Volume of Rectangular prism is $\frac{6}{125}\,\,cm^3$

Keywords: Volume

Learn more about Volume at:

#learnwithBrainly

6 0

3 years ago

Plzzz help need it right nowww.....

Hunter-Best [27]

$2x-5= - 20$

$
2x=-20+5
 
$ $Add \ 5 \ to \ both \ sides
$

$2x=-15

 
$

$x=- \dfrac{15}{2}$ $Divide \ both \ sides \ by \ 2$

5 0

3 years ago

Compare and contrast combinations and permutations, give a few examples of how combinations and permutations are used outside of

denis23 [38]

<h2>Permutation </h2>

refers to the different ways of arranging a set of objects in a sequential order.

<h2>Combination </h2>

refers to several ways of choosing items from a large set of objects, such that their order does not matters.

8 0

2 years ago

The populations of Cities A and B are 1.9 x 105 and 1,070,000, respectively. The population of City C is twice the population of

jeyben [28]

Answer:

13, 587 times

Step-by-step explanation:

Population of City A

= 1.9 * 105 = 157.5

Population of City B

= 1,070,000

Population of City C

= 2 * city B

= 2 * 1,070,000

= 2,140,000

The population of City C is how many times the population of City A?

City C = x * City A

2,140,000 = x * 157.5

x = 2,140,000 / 157.5

x = 13587.30

The population of City C is 13587.30 times the population of City A.

Hope this helps :)

5 0

3 years ago

Which of the following describe the ratio of triangles to squares shown?

KATRIN_1 [288]

I think its <span>B. For every 3 squares there are 5 triangles.</span>

3 0

3 years ago