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3 years ago

What is the volume of this rectangular prism 7/5 CM by 5 cm and 7/2 cm

Mathematics

1 answer:

Step2247 [10]3 years ago

7 0

Answer:

$V=\frac{49}{2}\ cm^3$

$V=24.5\ cm^3$

Step-by-step explanation:

we know that

The volume of the rectangular prism is

$V=LWH$

where

L is the length

W is the width

H is the height

substitute the given values in the formula

$V=(\frac{7}{5})(5)(\frac{7}{2})$

$V=\frac{245}{10}\ cm^3$

Simplify

$V=\frac{49}{2}\ cm^3$ ---> fraction form

$V=24.5\ cm^3$ ----> decimal form

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harkovskaia [24]

Answer:

Option D: 20km South

Step-by-step explanation:

Lets say A = (0, 0)

Finding B:

A is 30km East of D which makes D = (-30, 0)

D is 10km South of F which makes F = (-30, 10)

F is 10km West of B which makes B = (-20, 10)

Finding E:

A is 10km North of C which makes C = (0, -10)

C is 20km East of E which makes E = (-20, -10)

Finding the answer:

Find distance from B = (-20, 10) to E = (-20, -10)

1. Cancel equivalent values:

x of B = (-20) and x of E = (-20)

Remove x from equation.

2. Solve for answer:

B = 10 and E = (-10)

Find the difference: (-10) - 10 = (-20)

Conclusion:

South translates to negative on a graph making the answer 20km South

Hope this helped :)

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1 year ago

Choose the correct description of the graph of the compound inequality x − 3 < −9 or x + 5 greater than or equal to 10.

forsale [732]

X - 3 < 9 or x + 5 ≥ 10
+ 3 + 3 - 5 - 5
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3 years ago

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Firdavs [7]

We are given :

$\sqrt{4x^{2}-20x+25}$

Step 1: factor the part inside square root

The function given inside square root is of quadratic form.

So let us try to factorise it using AC method.

Here A*C = 4*25 = 100

so we have to find factors of 100 that add up to give -20.

the two factors are -10 and -10.

Rewriting the function :

$4x^{2} -20x+25$

= $4x^{2} -10x-10x+25$

= $2x(2x-5) - 5(2x-5)$

= $(2x-5)^{2}$

Step 2:

Now we take square root of the factorised form

$\sqrt{(2x-5)^2}$

= $2x-5$

Answer : (2x-5)

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3 years ago

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Answer:

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Answer:

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2 years ago

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