The length of the base of a rectangular pyramid is tripled, the width of the base remains the same, and the height of the pyramid is divided by 7. What volume formula reflects these changes?

Answers

Answer 1

Answer: Th volume that reflects these changes will be: 3/21 (L*W*H), hope that helps.

Answer 2

Answer:

The volume of a rectangular pyramid can be found using the formula V = (1/3)*A*H where A is the area of the rectangle base, and H is the height of the pyramid

The length of the base is tripled and the width of the base remains the same. Then, the new area of the base is 3 times the old one.

The height of the pyramid is divided by 7. Then, the new height is the old one divided by 7.

Replacing this in the formula:

V = (1/3)*A*H

V' = (1/3)*(3*A)*(H/7)

V' = A*(H/7)

where V' is the volume of the new pyramid. Notice that, A and H refer to the original pyramid.

The relationship between these volumes are:

V/V' = [(1/3)*A*H]/[ A*(H/7)] = 7/3

(3/7)*V = V'

So, the volume of the new pyramid is 3/7 times the old one.

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A rectangle has an area of 100 cm². The base of the rectangle is 25 cm.What is the height of the rectangle?

4 cm

10 cm

76 cm

2400 cm

Answers

$\displaystyle\n \bold{A = b * h} \n \n A = 100~cm^2 \n b = 2~ccm\n h = ?\n\n h = (A)/(b) =(100~cm^2)/(25~cm) = \boxed{4~cm}$

jay discounts a 100-day note for 25,000 at 13%. the effective rate of interest to the nearest hundredth percent is what?

Answers

Jay were able to get a discount in a 100-day note which 25000 dollars and get a 13% discount.

Let's solve for the effective rate interest of this 100-day note:
=> 25 000 * .13 = 3 250 dollars is the discount.
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Answers

Answer:

$8.96

Step-by-step explanation:

Sorry if its to late

48 over 120 = x over 100 cross multiply to get answer of x

Answers

$(48)/(120)=(x)/(100)\ \ \ \ \ |(48)/(120)=(48:6)/(120:6)=(8)/(40)=(8:4)/(20:4)=(2)/(5)\n\n(2)/(5)=(x)/(100)\ \ \ \ |cross\ multiply\n\n5(x)=2(100)\n\n5x=200\ \ \ \ |divide\ both\ sdies\ by\ 5\n\n\boxed{x=40}$

$(48)/(120)=(x)/(100) \n120x=48 * 100 \nx=(48 * 100)/(120) \n x=(48 * 100)/(12 * 10) \nx=4 * 10 \nx=40$

To take a taxi, it cost $3.00 plus an additional $2.00 per mile traveled. you spent exactly $20 on a taxi, which includes the $1 tip you left. how many miles did you travel?