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NikAS [45]
3 years ago
15

Explain the Error. A student said the volume of a cylinder with a 3- inch diameter is two times the volume of a cylinder with th

e same height and a 1.5 inch radius. What is the error?
Mathematics
1 answer:
Aleks04 [339]3 years ago
8 0

Answer:

See explanation

Step-by-step explanation:

Because the formula for the volume of a cylinder is \pi r^2 h, when you multiply the radius by 2, the volume increases by 2^2=4 times. Hope this helps!

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A cannon ball is launched at 6 feet per second from the top of a platform 12 feet above the ground.
AleksAgata [21]
A.) y = ut - 1/2gt^2 + 12
y = 6t - 1/2(9.8)t^2 + 12
y = 6t - 4.9t^2 + 12

b.) The y-intercept is 12

c.) The y-intercept represent the height of the ball at time t = 0

d.) At the time the ball reaches the ground, y = 0
-4.9t^2 + 6t + 12 = 0
t = 2.29 seconds
Therefore, it took the ball 2.29 seconds to reach the ground.
7 0
3 years ago
Which of the following is the sum of all the odd integers between 5 and 102?
STALIN [3.7K]

Answer:

2601

Step-by-step explanation:

The integers between 5 and 102 are

7, 9, 11, 13, 15, 17,19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 43, 45, 47, 49, 51, 53, 55, 57, 59, 61, 63, 65, 67, 69, 71, 73, 75, 77, 79, 81, 83, 85, 87, 89, 91, 93, 95, 97, 99, 101

The sum of the odd intergers between 2 and 105 can be calculated as follows

= (N + 1/2)^2

= (101 + 1 /2) ^2

= (102/2)^2

= 51^2

= 2601

Hence the sum of the odd intergers between 5 and 102 is 2601

3 0
3 years ago
Solve the system of equations by elimination.
n200080 [17]

Answer:

Step-by-step explanation:

1. 2x - 9y = 23

2 x = 9 y + 23

y = (2 x)/9 - 23/9

2 x - 9 y - 23 = 0

2. 5x - 3y = -1

5 x + 1 = 3 y

y = (5 x)/3 + 1/3

5 x - 3 y + 1 = 0

I belive that should help you out a bit :D

4 0
3 years ago
Read 2 more answers
Help help help help help
Mkey [24]

Answer:

  x = 42

Step-by-step explanation:

The marked angles are supplementary, so their sum is 180°.

  (2x +8) +(2x +4) = 180

  4x +12 = 180 . . . . . . . . . simplify

  x +3 = 45 . . . . . . . divide by 4 (because we can)

  x = 42 . . . . . . subtract 3

_____

<em>Additional comment</em>

A "two-step" linear equation like this one is usually solved by subtracting the unwanted constant, then dividing by the coefficient of the variable. Here, we have done those steps in reverse order. This makes the numbers smaller and  eliminates the coefficient of the variable. Sometimes I find it easier to solve the equation this way.

5 0
2 years ago
A florist received 30 dozen roses. She order 20 dozen. What percent did she receive in excess
KonstantinChe [14]
Extra 10, 10 is half of what she ordered so she received an extra 50%
8 0
3 years ago
Read 2 more answers
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