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k0ka [10]
3 years ago
12

The volume of a right circular cone varies jointly as the altitude and the square of the radius of the base. If the volume of th

e cone is 154 cu. in. when its altitude is 12 in. and the radius of the base is 3 1/2 in., find the altitude when the volume of the cone is 77 cu. in. and the radius of the base is in.
Mathematics
1 answer:
Basile [38]3 years ago
8 0
The Radius of the base is 63 inches
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Person A can paint the neighbor's house 6 times as fast as Person B. The year A and B worked together it
uranmaximum [27]

Person A takes 2.3 days to paint the house working alone

Person B takes 13.8 days to paint the house working alone

<em><u>Solution:</u></em>

Let "x" be the number of days it takes person A  to paint the house

Person A can paint the neighbor's house 6 times as fast as Person B

Therefore.

Number of days it takes person B to paint the house = 6x

Their rates of painting are added to get  the rate working together

\frac{\text{1 house}}{\text{x days}} + \frac{\text{1 house}}{\text{6x days}} = \frac{\text{1 house}}{\text{2 days}}

\frac{1}{x} + \frac{1}{6x} = \frac{1}{2}\\\\\frac{1 \times 6}{6x} + \frac{1}{6x} = \frac{1}{2}\\\\\frac{7}{6x} = \frac{1}{2}\\\\\ x = \frac{7}{3}= 2.3

Thus person A takes 2.3 days to paint the house working alone

Person B = 2x = 6(2.3) = 13.8

Thus person B takes 13.8 days to paint the house working alone

3 0
3 years ago
Help me please this is math
snow_tiger [21]

Answer:

c) none of the above

Step-by-step explanation:

this is because we should put the equation like:

1/3 - (-4/3) because the distance is 5 units and

1/3 + 4/3 = 5/3

this is because (-) × (-) = (+)

7 0
3 years ago
A triangle has three angles 1x, 11x and 8x. as described below. Find the value of x
Rom4ik [11]

Answer:

ttgggggggryrqyyrqrurquwjtwtjatj

4 0
3 years ago
Joey had 347$ and his friend had 7 times the amount Joey had
Semmy [17]

Answer:

347*7 =2429

Step-by-step explanation:

3 0
3 years ago
A farmer sells almonds according to the chart below. The more pounds of almonds that are sold, lower cost the cost per pound is
Naddik [55]

Answer:

horizontal line with a open circle at (20,10) and an closed circle at (30,10)

$ 207.50

Step-by-step explanation:

20.75 is between 20  and 30

From the given table , we can see that

for more than 20, up to 30 pounds, the cost per pound is $10

This means, the pounds greater than 20  and less than 30  cost per pound is $10

More than 20 means pounds not equal to 20. its close to 20

So there is a open circle at 20

Cost per pound remains the same from 20  to 30

So horizontal line with a open circle at (20,10) and an closed circle at (30,10)

Total cost of 20.75 pounds of almonds = 20.75 * 10 = 207.50

4 0
4 years ago
Read 2 more answers
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