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strojnjashka [21]
3 years ago
15

What is the volume of a cone with a radius of 4 and a height of 15?

Mathematics
1 answer:
Pie3 years ago
8 0

Answer:

A. 251.33 cubic units

Step-by-step explanation:

volume of cone = (1/3) * area of base * height

Since your base is a circle, the area of the base is pi * r^2.

Now we have

volume of cone = (1/3) * pi * r^2 * h

volume of cone = (1/3) * 3.14159 * 4^2 * 15

volume of cone = 251.33 cubic units

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Two hiking groups made the purchases shown below. What is the cost of each item. GROUP 1: 6 muffins, 12 granola bars, Total=$26.
stepladder [879]

Answer:

Price of each muffin = $1.25

Price of each granola bar = $1.6

Step-by-step explanation:

Group 1:

6 muffins, 12 granola bars

Total money paid = $26.70

Group 2:

8 muffins, 15 granola bars,

Total money paid = $34.00

To find:

Price of each item?

Solution:

Let the price of one muffin = $x

Let the price of one granola bar = $y

As per group 1, the equation can be written as:

6x+12y=26.70\\\Rightarrow x+2y=4.45 .... (1)

As per group 2, the equation can be written as:

8x+15y = 34 .... (2)

Let us use elimination method to solve for x and y.

Multiplying equation (1) with 8 and subtracting (2) from it:

16y-15y = 35.6 - 34\\\Rightarrow y = 1.6

Using equation (1):

x+3.2=4.45\\\Rightarrow x = 1.25

Therefore, the answer is:

Price of each muffin = $1.6

Price of each granola bar = $1.25

7 0
3 years ago
r. Yi buys vegetables at a market. He purchases 6 pounds of potatoes, p, and 3 pounds of onions, n, for $18. Onions cost twice a
ad-work [718]

Answer:

  • The equation 2n = p should be 2p = n.
  • The actual cost of the onions is $3.00 per pound.
  • Potatoes cost $1.50 per pound.

Step-by-step explanation:

The wording "onions cost twice as much as potatoes" is understood to mean the cost per pound of onions (n) is equal to two times the cost per pound of potatoes (2p). Then the appropriate equation would be ...

  2p = n

Then the solution is ...

  6p +3(2p) = 18

  12p = 18

  p = 18/12 = 1.50

  n = 2p = 2(1.50) = 3.00

__

The equation should be 2p = n; onions cost $3.00 per pound; potatoes cost $1.50 per pound.

5 0
3 years ago
Hey can you please help me posted picture of question
Alex Ar [27]
The resolvent is:
 x = (- b +/- root (b2 - 4ac)) / 2a
 To apply it we must have a polynomial of the form:
 ax2 + bx + c = 0
 Where,
 One side of the equation is zero.
 The polynomial must be only grade 2.
 The coefficient a must be different from zero.
 Answer:
 
options: B, C, D are correct
3 0
3 years ago
Read 2 more answers
You spend $50 on a bracelet to sell at the football game. You want to sell each bracelet for $3. Let b be the number of bracelet
SIZIF [17.4K]
How many bracelets did you buy just $50 dollars worth and how much did you buy one bracelet for <span />
5 0
3 years ago
Read 2 more answers
A group of friends went to lunch, and their bill was $132.50. An 18% gratuity was added to the bill. What was the total amount o
Serggg [28]

Answer:

$156.35

Step-by-step explanation:

we know that

A group of friends went to lunch, and their bill was $132.50

In this problem

$132.50 represent the 100%

100%+18%=118%

so

using proportion

Find out the total amount that represent 118%

Let

x ----> the total amount of the bill

\frac{\$132.50}{100\%}=\frac{x}{118\%}\\\\x=132.50(118)/100\\\\x=\$156.35

7 0
3 years ago
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