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34kurt
3 years ago
9

A square pyramid with volume 92,100 m³ is dilated with a factor of 15 . What is the volume of the image? Express your answer to

the nearest whole unit. Enter your answer in the box.
Mathematics
1 answer:
VashaNatasha [74]3 years ago
8 0

Answer:

310 837 500 m³

Step-by-step explanation:

The l<em>inear dilation factor</em> (LDF) is 15.

The equation for the <em>volume dilation facto</em>r (VDF) is

VDF = LDF³

VDF = 15³ = 3375

V' = VDF × V

V' = 3375 × 92 100 = 310 837 500 m³

The volume of the dilated pyramid is 310 837 500 m³.

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If you want to buy an item in a store that costs $50 and is on sale for 10% off, then how much would the item actually cost you
SCORPION-xisa [38]

Answer: The item would be 45 dollars.

Step-by-step explanation:

4 0
3 years ago
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A student charges twenty dollars per hour to type college papers. The student's average typing speed is fifty words per minute.
coldgirl [10]

Answer:

The student should charge $210 for typing the paper ⇒ answer C

Step-by-step explanation:

* Lets explain how to solve the problem

- The rate of the student's typing is 50 words per minute

- The students charges twenty dollars per hour to type the college

 papers

- There is a paper contains 31,500 words

- We want to now how much the student should charge for it

* At first lets find his rate per hour

∵ 1 hour = 60 minutes

∴ 1 minute = 1/60 hours

∵ His rate = 50 words / 1 minute

- Lets change the minute to hour

∴ His rate = 50/(1 × 1/60) = 3000 words per hour

* Lets find the time he needs to finish the paper

∵ The paper contains 31,500 words

∵ Time = The number of words ÷ his rate of typing

∵ his rate is 3000 words per hour

∴ Time = 31,500 ÷ 3000 = 10.5 hours

∴ He needs 10.5 hours to finish the paper

∵ He charges $20 per hour

∵ The time to finish the paper is 10.5 hours

∵ The price of typing the paper = the charge per hour × number

   of hours

∴ The price of typing the paper = 20 × 10.5 = 210

∴ The student should charge $210 for typing the paper

7 0
3 years ago
Read 2 more answers
PLEASE HELP!
Lina20 [59]

Answer:

Step-by-step explanation:

Each 90° clockwise turn takes a point (x,y) and transforms it to (y,-x). For a 180° turn you would do this process twice in a row; for a 270° turn, three times in a row.

4 0
3 years ago
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Easy question
Ira Lisetskai [31]

Answer:

7/16

Step-by-step explanation:

Let the fraction be x/y

(x+5)/(y+5) = 4/7

7x + 35 = 4y + 20

7x + 15 = 4y

(x-1)/(y-1) = 2/5

5x - 5 = 2y - 2

2y = 5x - 3

7x + 15 = 2(5x - 3)

7x + 15 = 10x - 6

3x = 21

x = 7

2y = 5(7) - 3

2y = 32

y = 16

x/y = 7/16

5 0
3 years ago
Amira is told there is a trick to finding the slope within an equation in standard form, Ax+By=C. She is told she can rewrite th
Advocard [28]

Answer:

B. In slope-intercept form, the slope is − 7/9. These values are A and B, but with the opposite sign, so the slope of the line from the equation in standard form is − A/B.

Step-by-step explanation:

<u>Let's convert the standard equation into slope-intercept form:</u>

  • Ax + By = C              ⇒ subtract Ax from both sides
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As we see the slope is -A/B

<u>The equation 7x + 9y = 14 is converted as:</u>

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<u>Looking at the answer options and the correct one is option B, where both identification of slopes match.</u>

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4 0
3 years ago
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