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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:

Alenkasestr [34]3 years ago

6 0

The new volume is Nine time the original volume

Step-by-step explanation:

Let the length be 'l'

Let the height be 'h'

Let the width be 'w'

Volume of a rectangular prism= l x w x h

New length = 1.5l

New width = 2w

New height= 3h

New volume= (1.5l) x (2w) x (3h)

= 9 (l x w x h)

New volume= 9 ( original volume)

The new volume is 9 time the original volume

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Given the midpoint and one endpoint of a line segment, find the other endpoint.

neonofarm [45]

Answer:

(-12 , 2)

Step-by-step explanation:

GIVEN :-

Co-ordinates of one endpoint = (-4 , -10)
Co-ordinates of the midpoint = (-8 , -4)

TO FIND :-

Co-ordinates of another endpoint.

FACTS TO KNOW BEFORE SOLVING :-

Section Formula :-

Let AB be a line segment where co-ordinates of A = (x¹ , y¹) and co-ordinates of B = (x² , y²). Let P be the midpoint of AB . So , by using section formula , the co-ordinates of P =

$(x , y) = (\frac{x^2 + x^1}{2} ,\frac{y^2 + y^1}{2} )$

PROCEDURE :-

Let the co-ordinates of another endpoint be (x , y)

So ,

$(-8 , -4) = (\frac{-4 + x}{2} , \frac{-10 + y}{2} )$

First , lets solve for x.

$=> \frac{x - 4}{2} = -8$

$=> x - 4 = -8 \times 2 = -16$

$=> x = -16 + 4 = -12$

Now , lets solve for y.

$=> \frac{y - 10}{2} = -4$

$=> y - 10 = -4 \times 2 = -8$

$=> y = -8 + 10 = 2$

∴ The co-ordinates of another endpoint = (-12 , 2)

3 0

3 years ago

PLZZ Help FAST!!!

nalin [4]

Consider triangles ADC and BEC.

1. BE⊥AC (statement $a_0$ ) and AD⊥BC;

CB≅CA (statement $a_1$ )

Reason: Given.

2. ∠ADC (statement $a_2$ ) and ∠BEC are right angles.

Reason: Perpendicular lines form right (statement $a_3$ ) angles.

3. ∠BCE (statement $a_4$ ) = ∠ACD (statement $a_5$ )

Reason: Reflexive Property of Congruence (statement $a_6$ ).

4. ΔADC≅ΔBEC (statement $a_7$ ).

Reason: HA Postulate (statement $a_8$ ).

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3 years ago

A 5-foot tree was planted and grew 2 feet each year. Write an algebraic expression for the height of the tree after v years.

Maksim231197 [3]

Answer:

6+2y, since the tree is already 6 feet, it grows 2 feet per year so you add 2 feet to the 6 feet every year

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3 years ago

Read 2 more answers

Ms.Perozo is decorating a square bulletin board. She used exactly 312 centimeters of checkered ribbon to create a border. Now he

harina [27]

Its a squere so divide 312 by 4=78

then tou can finsd the area

so 78 x 78 = so 6084 cm

thanks hope this helps!:)

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3 years ago

The temperature is -2°C. If the temperature rises by 15°C, what is the new temperature?

Furkat [3]

Answer:

13 C

Step-by-step explanation:

15-2=13

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3 years ago