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3 years ago

Length of a rectangular prism is increased by factor of 1.5. The width is doubled and height is tripled. What is the new volume?

Mathematics

1 answer:

dimulka [17.4K]3 years ago

4 0

Nine times the original volume

Step-by-step explanation:

Let the length, width and height of the rectangular prism be 'l' 'w' and 'h'.

The volume of the rectangular prism is given by,

V = W x l x h

The original volume of the rectangular prism is,

V = wlh

Here the length is 1.5 the original length

So, l = 1.5 x l = (1.5l)

And the with is doubled. So,

W = 2W

The height is tripled. So,

h = 3h

Volume of the new rectangular prism is,

V = (1.5l) (2w) (3h)

V = 9 wlh

We know that wlh is the original volume of the rectangular prism.

So the new volume is 9 times the original volume.

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What is the the area of the triangle in the composite figure above?

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Answer:

$10 in^{2}$

Step-by-step explanation:

Subtract 13 from 17 to get the length of the base. Then add the 1, 1, and 3 together to get the height. Then you use the area formula for a triangle.

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3 years ago

A company that packages salted and unsalted mixed nuts received a complaint that claimed that the company’s salted packages cont

Eduardwww [97]

Answer:

$H_0 : \mu_1 - \mu_2 = 0$

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Step-by-step explanation:

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So:

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$\mu_2:$ Mean of unsalted package

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3 years ago

What is: 3x=y-2 6x=4-2y

Dimas [21]

Answer:

x − y + 4 = 8 7 x + y = 03 x + 4y = − 5

Step-by-step explanation:

3 0

3 years ago

How do you solve 4x+10=3x+37

lisov135 [29]

Answer:

x = 27

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Equality Properties

Step-by-step explanation:

Step 1: Define equation

4x + 10 = 3x + 37

Step 2: Solve for x

Subtract 3x on both sides: x + 10 = 37
Subtract 10 on both sides: x = 27

Step 3: Check

Plug in x to verify it's a solution.

Substitute: 4(27) + 10 = 3(27) + 37
Multiply: 108 + 10 = 81 + 37
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And we have our final answer!

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3 years ago

Which pair of equations below is a result of constructing the altitude, h, in traingle ABC?

Korolek [52]

Answer:

sinA = h/c; sinC = h/a

Step-by-step explanation:

Which pair of equations below is a result of constructing the altitude, h, in Triangle ABC?

sinA= h/c

sinC= h/a

sinA= h/c

sinB= b/c

sinA= b/c

sinC= b/a

Solution:

A triangle is a polygon with three sides and three angles. There are different types of triangles such as right angled, acute, obtuse and isosceles triangle.

In right angle triangle, one angle is 90°. From Pythagoras theorem, the square of the longest side (hypotenuse) is equal to the sum of the square of the two sides.

In right triangle, trigonometric identities are used to show the relationship between the sides of a triangle and the angles.

sinθ = opposite / hypotenuse, cosθ = adjacent / hypotenuse, tanθ = opposite / adjacent

Therefore in triangle ABC:

sinA = h/c; sinC = h/a

4 0

2 years ago