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trapecia [35]
2 years ago
14

The height of a cone-shaped statue is 9 ft, and the diameter is 12 ft.

Mathematics
1 answer:
gladu [14]2 years ago
8 0
To find the volume of a cone do
\pi \times  {r}^{2}  \times h \div 3
\pi \times 6 \times 6 \times 9 \div 3 = 339.12
answer = 339.12 {ft}^{3}
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Chevy has some yarn that he wants to use to make hats and scarves. Each hat uses 0.2 kilograms of yarn a
professor190 [17]

Answer:

h + s = 15

2h + s = 20

Step-by-step explanation:

Let the number of hats Chevy made = h

Let the number of scarves made by Chevy = s

From the statement of the question, " Chevy made a total number of 15 items"

Equation will be  h + s = 15

Amount of yarn used to make one hat = 0.2 kilograms

So amount of yarn used to make "h"hats = 0.2h kilograms

Similarly Amount of yarn used to make one scarf = 0.1 kilograms

So amount of yarn used to make "h" scarves = 0.1s kilograms

Another statement states " Chevy wants to use 2 kilograms of yarn to make these items".

Equation for this statement will be,

0.2h + 0.1s = 2

OR 2h + s = 20 [By multiplying the equation by 10]

Therefore, system of the equations will be

h + s = 15

2h + s = 20

8 0
2 years ago
Segment AB falls on line 2x − 4y = 8. Segment CD falls on line 4x + 2y = 8. What is true about segments AB and CD? They are perp
Alisiya [41]

Answer:

They are perpendicular because they have slopes that are opposite reciprocals of −2 and one half.

Step-by-step explanation:

This is because x = -2 and half of -2 is 1

when we use CD line and x2 we find 8x+4y=16 when added to 2x -4y=8 would equal 10x+4y = 2 1/2 xy = 16

When we use for AB line we see they are perpendicular 2 1/2 x 2 = 5 -4y = 8 shows y to be -2 and the 1/2 line leaves -2 1/2 and x also is 2 1/2.

6 0
1 year ago
Read 2 more answers
Angie's car is valued at $22,000, and she owes $20,000 on it. What is her<br><br> current equity?
amid [387]

Answer: 2,000

Step-by-step explanation: 22,000 - 20,000 = 2,000

Angie’s current equity on her car is 2,000

6 0
1 year ago
Read 2 more answers
A company makes traffic signs.One of their signs can be modeled by an equilateral triangle with a perimeter of 144 inches. The c
Mars2501 [29]

Answer:

The perimeter of the larger sign : 144*1,25= 180 inches

Side of the triangle= 180/3= 60 inches

square of the height= 60^(2) - 30^(2)= 2700 ( Pythagoras' theorem)

height= square root ( 2700)= 51,96

Step-by-step explanation:


6 0
2 years ago
Susan keeps track of the number of tickets sold for each play presented at the community theater. within how many standard devia
Citrus2011 [14]
The Mean = (135 + 71 + 69 + 80 + 158 + 152 + 161 + 96 + 122 + 118 + 87 + 85 ) : 12 = 111.166
The smallest value : 69
The greatest value : 161
s² = ∑( x i - x )² / ( n - 1 )
s² = ( 568.274 + 1613.3 + 1777.97 + 971.32 + 2193.42 + 1667.4 + +2483.42 + 230 + 117.38 + 46.7 + 584 + 684.66 )  : 11
s² = 1176.1676
s = √s² = √1176.1676
s ( Standard deviation ) = 34.295
All the values fall within 2 standard deviations:
 x (Mean) - 2 s and  x + 2 s 
 
3 0
2 years ago
Read 2 more answers
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