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professor190 [17]
2 years ago
9

Identify the volume of a cone with base area 64π m2 and a height 4 m less than 3 times the radius, rounded to the nearest tenth.

Mathematics
1 answer:
melomori [17]2 years ago
4 0
V=basearea times 1/3 times height
basearea=6<span>4π m2
hmm, they try to make it difficult

basearea=circle=pir^2
pir^2=64pi
divide by pi
r^2=64
sqrt
r=9

h is 4 les than 3 time r
h=-4+3(8)
h=-4+24
h=20

v=1/3*64pi*20=1280pi/3 m^3=1350.4

C
</span>
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A rectangle that had the perimeter of 70 and the area of 250 has enlarged; its sides became twice as long. what is the new area
aliya0001 [1]
The perimeter of the original rectangle is:
 P = 2w + 2l = 70
 The area of the original rectangle is:
 A = w * l = 250
 Then, by modifying the length of its sides we have:
 Perimeter:
 P '= 2 (2w) +2 (2l)
 Rewriting:
 P '= 2 (2w + 2l)
 P '= 2P
 P '= 2 (70)
 P '= 140
 Area:
 A '= (2w) * (2l)
 Rewriting:
 A '= (2) * (2) (w) * (l)
 A '= 4 * w * l
 A '= 4 * A
 A '= 4 * 250
 A '= 1000
 Answer:
 
the new area and the new perimeter are:
 
P '= 140
 
A '= 1000
3 0
2 years ago
Which of the following are necessary when proving that the opposite angles of a parallelogram are congruent? A. Opposite sides a
Misha Larkins [42]

Answer:

C and B

Step-by-step explanation:

The correct option is option B and C. The necessary condition to prove that the opposite angles of a parallelogram are congruent:

C. Angle Addition Postulate.

B. Opposite sides are congruent

8 0
2 years ago
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What is the answer to 22.5+7(n-3.4)
ruslelena [56]
Expand the given expression.
22.5 + 7(n - 3.4) = 22.5 + 7*n + 7*(-3.4)

Multiply +7 and  -3.4 to obtain - 23.8. Therefore
22.5 + 7(n - 3.4) = 22.5 + 7n - 23.8

Write the constant terms together. Therefore
22.5 + 7(n - 3.4) = 7n + 22.5 - 23.8 = 7n - 1.3

Answer: 7n - 1.3
3 0
2 years ago
the sugar is sold at rupees 5.4 per kg at a loss of 10% at what price relative is sold per kg to earn a profit of 20%​
ladessa [460]

Answer:

the  price sold per kg to earn a profit of 20% is 7.2 kg

Step-by-step explanation:

The computation of the price sold per kg to earn a profit of 20% is shown below:

But before that the normal price per kg is

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Now for 20% profit, the price per kg is

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= 6 + 1.2

= 7.2 kg

hence, the  price sold per kg to earn a profit of 20% is 7.2 kg

5 0
1 year ago
Tom has $10 that he wants to use to buy pens and pencils. However, he does not want to buy more pens than pencils. A pen costs $
soldier1979 [14.2K]
If he buys x pens and y pencils

 3x + y = 10
x ≤ y

You draw the line 3x + y = 10 .<span>(it passes by (0,10) and (-10/3,0)

</span>
<span>You Draw the line y=x [it passes by (0,0), (1,1), (2,2)]

 </span>
<span>Solution: is the points with integer x and y, that belong to the segment of the line 3x +y = 10 between the x-axis and the line y=x. Those points are (1,7) , (2,4), (3, 1).
</span>
 Hope this helps ^-^


6 0
2 years ago
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