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arlik [135]
3 years ago
6

A document you fill out when applying for a job. It asks for information about your work history, education and personal referen

ces
O resume
OW-4
O application
O 1-9 form
Mathematics
1 answer:
jek_recluse [69]3 years ago
3 0
Resume
Albdkahskahskahskab
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the volume of a prism with equilateral triangular cross-section is 270cm^3 . If the length if the prism is 10 root 3 cm, what is
stepan [7]

Given:

The volume of a prism with equilateral triangular cross-section is 270cm³.

Length of the prism = 10\sqrt{3} cm

To find:

The length of the side of the equilateral triangular cross-section.

Solution:

Formulae used:

Area of an equilateral triangle is

Area=\dfrac{\sqrt{3}}{4}a^2

Where a is the side length of equilateral triangle.

Volume of prism is

V=Bh

Where, B is base area and h is the height of the triangular prism.

Cross section of the prism is an equilateral triangular so the base area of the prism is  \dfrac{\sqrt{3}}{4}a^2 sq. cm.

The volume of the prism is

V=\dfrac{\sqrt{3}}{4}a^2\times 10\sqrt{3}

270=\dfrac{10(3)}{4}a^2

270=\dfrac{30}{4}a^2

270=7.5a^2

Divide both sides by 7.5.

\dfrac{270}{7.5}=a^2

36=a^2

\pm \sqrt{36}=a

6=a

It takes only positive value because the side cannot be negative.

Therefore, the length of the side of the equilateral triangular cross-section is 6 cm.

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3 years ago
Shane's family traveled 7/10 of the distance to his grandfather’s house on Saturday. They traveled 2/3 of the remaining distance
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2/30 of the total distance was traveled on Sunday.
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How to factor 3x^2-10x-8?
Soloha48 [4]

<em>answer \\(x - 4)(3x + 2)  \\ solution \\  {3x}^{2}  - 10x - 8 \\  =  {3x}^{2}  - (12 - 2)x - 8 \\  =  {3x}^{2}  - 12x + 2x - 8 \\  = 3x(x - 4) + 2(x - 4) \\  = (x - 4)(3x  + 2) \\ hope \: it \: helps</em>

4 0
3 years ago
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5x + 20 = -5x What does "x" equal?
True [87]
<span>5x + 20 = -5x
5x + 5x = -20
10x = -20
x = -20/10
x = -2</span>
7 0
3 years ago
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Solving a _____ is the process of calculating unknown side lengths or angle measures of a triangle if certain of the side length
Ray Of Light [21]
ANSWER

C) Triangle

EXPLANATION

Solving a triangle is the process of calculating unknown side lengths or angle measures of a triangle if certain of the side lengths and/or angle measures are known.

We use the sine rule and cosine rule to find the missing sides and angles.

If the triangle has a right angle, then this is a special case, where we can use the trigonometric ratios and the Pythagoras theorem to find the unknown angles and sides.
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