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Dmitry [639]
3 years ago
9

If the cone and the square pyramid have the same volume, find the radius of the cross section of the cone. Round your answer to

the nearest hundredth.

Mathematics
1 answer:
nikdorinn [45]3 years ago
6 0

Answer: R= 4.91

Pi r^2= 8^2

Pi r^2= 8.7^2

Pi r^2= 75.69

r^2=24.09

R= 4.91

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How many times longer is the wavelength of a sound wave with a frequency of 20 waves per second than the wavelength of a sound w
sergejj [24]

The sound wave with a <u>frequency of 20</u> waves/sec is 800 longer than the wavelength of a sound wave with a <u>frequency of 16,000</u> waves/sec

<h3>Calculating wavelength </h3>

From the question, we are to determine how many times longer is the first sound wave compared to the second sound water

Using the formula,

v = fλ

∴ λ = v/f

Where v is the velocity

f is the frequency

and λ is the wavelength

For the first wave

f = 20 waves/sec

Then,

λ₁ = v/20

For the second wave

f = 16,000 waves/sec

λ₂ = v/16000

Then,

The factor by which the first sound wave is longer than the second sound wave is

λ₁/ λ₂ = (v/20) ÷( v/16000)

= (v/20) × 16000/v)

= 16000/20

= 800

Hence, the sound wave with a <u>frequency of 20</u> waves/sec is 800 longer than the wavelength of a sound wave with a <u>frequency of 16,000</u> waves/sec

Learn more on Calculating wavelength here: brainly.com/question/16396485

#SPJ1

6 0
2 years ago
The expression 2.5a+2b gives the cost (in dollars) for a DVDs and b CDs at a moving sale. a. The cost for 1 DVD is $ and the cos
Mekhanik [1.2K]

Answer/Step-by-step Explanation:

Given:

a = no. of DVDs

b = no. of CDs

Total cost ($) for DVDs and CDs = 2.5a + 2b

a. The cost for 1 DVD = 2.5(a) = 2.5(1) = $2.5

The cost for 1 CD = 2(b) = 2(1) = $2

b. Total cost for 4 DVDs and 4 CDs:

Substitute a = 4, and b = 4 into the equation.

2.5(4) + 2(4)

10 + 8 = 18

Total cost for 4 DVDs and 4 CDs = $18

c. To find out if $20 would be enough to buy 6 DVDs and 3 CDs, substitute a = 6, and b = 3 into the equation. Solve for the total cost to see if it equals $20 or is less than $20. If it's greater than $20, then it won't be enough.

2.5(6) + 2(3)

15 + 6 = 21

6 DVDs and 3 CDs cost more than $20, therefore, $20 is not enough.

5 0
3 years ago
Tom has r quarters. Express the value of the quarters in cents.
BigorU [14]
C = 0.25r

this is becasue quarters have a value of 0.25 and c is the total cents

hope this helps and have a great day! :)
3 0
4 years ago
Clarissa bought 3 cartons of milk for y cents each she gave the cashier $10. How much change did she receive? Express your answe
e-lub [12.9K]

Answer:

The amount of change she received was (10-0.03y) dollar.

Step-by-step explanation:

Price of each carton of milk is  y cents and she bought 3 cartons of milk.

We know that, <u>1 dollar = 100 cents</u>

So,  1 cent = \frac{1}{100}=0.01 dollar.

and  y cents =0.01y dollar.

Thus, <u>the total price of 3 cartons of milk</u> =(0.01y*3)=0.03y dollar.

She gave the cashier $10.

So, the amount of change she received =(10-0.03y) dollar.

8 0
3 years ago
Pauline bough five tickets for concert he paid a 2% service charge for buying them online. His total cost was $92.40 what was th
zhenek [66]
92.40×.02=1.84
92.40-1.84=90.56
6 0
3 years ago
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