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3 years ago

Please help quickly

Mathematics

1 answer:

sdas [7]3 years ago

6 0

Answer:

Step-by-step explanation:

To multiply 4^5 * 4^12

keep the bases the same and add the exponents

the answer is B

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100 POINTS!!!!!

Oksanka [162]

Answer:

a. Ratio of their circumference = 2:3

b. The ratio of their surface areas = 2:3

c. The ratio of their volume = 4:9

Step-by-step explanation:

Let the cylinders be labelled as A and B respectively.

Diameter of cylinder A = 6 in,

its radius = $\frac{diameter}{2}$

= $\frac{6}{2}$ = 3 in

Diameter of cylinder B = 9 in,

its radius = $\frac{diameter}{2}$

= $\frac{9}{2}$ = 4.5 in

Thus,

a. circumference of a circle = 2 $\pi$ r

Circumference of cylinder A = 2 $\pi$ r

= 2 x $\pi$ x 3

= 6 $\pi$ in

Circumference of cylinder B = 2 $\pi$ r

= 2 x $\pi$ x 4.5

= 9 $\pi$

Ratio of their circumference = $\frac{circumference of cylinder A}{circumference of cylinder B}$

= $\frac{6\pi }{9\pi }$

= 2:3

b. The surface area of a cylinder = 2 $\pi$ rh

the surface area of cylinder A = 2 $\pi$ rh

= 6 $\pi$ h

the surface area of cylinder B = 2 $\pi$ rh

= 9 $\pi$ h

The ratio of their surface areas = $\frac{surface area of cylinder A}{surface area of cylinder B}$

= $\frac{6\pi h}{9\pi h}$

= 2:3

c. Volume of a cylinder = $\pi$ $r^{2}$ h

volume of cylinder A = $\pi$ $r^{2}$ h

= $\pi$ x $3^{2}$ x h

= 9 $\pi$ h

volume of cylinder b = $\pi$ $r^{2}$ h

= $\pi$ x $4.5^{2}$ x h

= 20.25 $\pi$ h

The ratio of their volume = $\frac{volume of cylinder A}{volume of cylinder B}$

= $\frac{9\pi h}{20.25\pi h}$

= 4:9

6 0

3 years ago

A car rental company has 2 rental plans. plan A charges $49 per day. plan B charges $25 per day, plus $.10 per mile. how many mi

suter [353]

$49 > 25 + .10x$

3 0

4 years ago

If every student got one vote, but there were 25 students absent on the day of the vote, how many

Blababa [14]

Answer:

Not enough information.

Step-by-step explanation:

The 25 students absent is irrelevant. We still don't know the total number of students at Riverside Elementary School.

4 0

3 years ago

The distribution of ages of runners in a marathon is approximately normal. The oldest participant was 80 and the youngest was 13

igomit [66]

Answer: The mean is greater than the median

when finding the mean then add the numbers then divide them by the amount of numbers there are when finding the median find the middle number and if there is no middle number divide the 2 and that should be your mean

8 0

3 years ago

A student measures the length of a football field and reports it to be 294 feet long. The actual length of the field is 300 feet

irakobra [83]

Answer:

Percentage error in the student measurement = 2%

Step-by-step explanation:

Percentage error = (change in length) / actual length × 100

Approximate length =294 feet

Actual length = 300 feet

Percentage error = (change in length) / actual length × 100

= (300 feet - 294 feet) / 300 feet × 100

= 6/300 × 100

= 0.02 × 100

= 2%

Percentage error in the student measurement = 2%

8 0

3 years ago