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emmainna [20.7K]
3 years ago
7

What is the radius of the cone in the diagram? Round your answer to the nearest whole number.

Mathematics
2 answers:
vesna_86 [32]3 years ago
7 0

Answer:

Sample answer

like and Rate!!!

Nina [5.8K]3 years ago
3 0

Answer:

r = 4 units

Step-by-step explanation:

Volume of cone = 201.06 cubic units

Height (h) = 12 units

Radius (r) = ?

Thus, formula for volume of cone = ⅓*πr²h

Plug in the values and solve for r

⅓*π*r²*12 = 201.06

r²*4*π = 201.06

r²*12.57 = 201.06

Divide both sides by 12.57

r² = 201.06/12.57

r² = 15.9952267

r = √15.9952267

r ≈ 4 units

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Fernando has two equally-sized containers of clay which he is using to build a pyramid-like structure. The finished structure wi
evablogger [386]

Answer:

Fernando does not have enough clay to finish the structure since, the expressions for the volume left are not the same.

Step-by-step explanation:

Let w be the length of the longest slab. Since each slab is 2 inches less than the one beneath it, we have the width of the other 3 slabs as w - 2, w - 2 - 2 = w - 4 and w - 4 - 2 = w - 6 respectively.

Since the base of each slab is a square and has thickness 2 inches, the volume of each slab from largest to smallest is thus 2w², 2(w - 2)², 2(w - 4)² and 2(w - 6)² respectively.

We have that we have half of the container of clay left after forming the first two slabs(which are the bottom-most slabs). Let V be the volume of each clay container. Since we have half left, that is V/2, we have used 2V - V/2 = 3V/2 to make the two bottom-most slabs.

So, 3V/2 = 2w² + 2(w - 2)²

= 2w² + 2(w² - 4w + 4)

= 2w² + 2w² - 8w + 8

= 4w² - 8w + 8

= 4(w² - 2w + 2)   (1)

Also we want to know if V/2 is equal to the volume of the two top-most slabs.

So, V/2 = 2(w - 4)² + 2(w - 6)²

= 2(w² - 8w + 16) + 2(w² - 12w + 36)

= 2w² - 16w + 32 + 2w² - 24w + 72

= 4w² - 40w + 104

= 4(w² - 10w + 26)

From (1) V/2 = 4(w² - 2w + 2)/3 ≠ 4(w² - 10w + 26)

<u>Since the expressions for the remaining volume are not the same, Fernando does not have enough clay to finish the structure.</u>

4 0
3 years ago
4. The amount of money in Dave's checking account for the first week of
Ahat [919]

Answer: Mean- 547.3

Median- 575

Mode-no mode

range-550

Step-by-step explanation:

mode is the number that occurs the most

mean- add up all the numbers and divide them by them number of ad ins

range- largest number- smallest number

median- middle number

6 0
2 years ago
The Leukemia and Lymphoma Society sponsors a 5k race to raise money. It receives $55 per race entry and $10,000 in donations, bu
photoshop1234 [79]
The net amount they raise is the amount they receive minus what they pay in expenses.

They receive:
$10,000 fixed amount in donations
$55 per person

They pay:
$15 per person

If there are x number of entries, they receive 55x from the entries.
Also, they pay 15x for the entries.

The net amount they raise is amount they receive min us amount they pay:

55x + 10,000 - 15x

which simplifies to

40x + 10,0000

They want to raise at least $55,000.
At least $55,000 means $55,000 or more.
They want to raise an amount greater than or equal to $55,000.

Now we write the inequality:

40x + 10,000 >= 55,000

Now we solve the inequality for x, the number of entries.

40x >= 45,000

x >= 1125

They must have 1125 or more race entries to raise $55,000.
6 0
3 years ago
find the probability for the experiment of selecting a pair of black socks followed by a pair of navy-blue socks and then a pair
Amiraneli [1.4K]

Answer:2/51

Step-by-step explanation:

4 0
3 years ago
Does this set of ordered pairs represent a function? Why or why not. Don’t need a step to step just the answer
Scrat [10]

Answer:

D. Yes,because every x-value corresponds to exactly one y-value.

Step-by-step explanation:

The given ordered pairs are;

{(-5,-5),(-1,-2),(0,-2),(3,7),(8,9)}

We do not have the same x-value corresponding to more than one y-value.

We can see from the ordered pairs that every x-value corresponds to exactly one y-value.

Therefore the graph of this relation will pass the vertical line test.

3 0
3 years ago
Read 2 more answers
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