Rachel runs 4 miles in 30 minutes at the same rate how many miles would she run in 48 minutes

The cross-sectional areas of a right triangular prism and a right cylinder are congruent. The right triangular prism has a heigh

expeople1 [14]

Answer:

The correct answer is:

The volume of the triangular prism is equal to the volume of the cylinder

Step-by-step explanation:

Given that there are two figures

1. A right triangular prism and

2. Right cylinder

Area of cross section of prism is equal to Area of cross section of cylinder.

Let this value be A.

Also given that Height of prism = Height of cylinder = 6

Volume of a prism is given as:

$V_{Prism} = \text{Area of cross section} \times Height$

$V_{Prism} = A \times 6 ........ (1)$

Cross section of cylinder is a circle.

Area of circle is given as: $\pi r^{2}$

Area of cross section, A = $\pi r^{2}$

Volume of cylinder is given as:

$V_{Cylinder} = \pi r^{2} h\\\Rightarrow V_{Cylinder} = A \times h\\\Rightarrow V_{Cylinder} = A \times 6 ...... (2)$

From equations (1) and (2) we can see that

$V_{Prism}=V_{Cylinder}$

Hence, the correct answer is:

Volume of prism is equal to the volume of cylinder.

3 0

2 years ago

An average response rate for a marketing letter is 4%, meaning that 4% of the people who receive the letter respond to it. A com

kherson [118]

$\frac{65}{2400} \times 100\% \\ = 2.71\%$

Answer : No, the new type of letter wouldn't be considered as a success because its response rate (2.71%) is lower than the average response rate which is 4%.

Hope this helps. - M

7 0

3 years ago

Answer this question if you wanna be my guy best friend

Charra [1.4K]

Answer:

b. 0.50x+15=25

so the answer is 20

7 0

2 years ago

Which two numbers add up to ___ and multiply to ___?

Assoli18 [71]

1. multiply to -18 add to -17 = Multiplying -18 and 1 will give -18 as the result and then on adding -18 and + 1 the result comes to -17
2. multiply to 36 add to -13 = Multiplying -9 and -4 will give -36 as the result and then on adding -9 and -4 the result comes to -13
3. multiply to -24 add to -5= Multiplying -8 and +3 will give -24 as the result and then on adding -8 and +3 the result comes to -5
4. multiply to -18 add to 7= Multiplying +9 and -2 will give -18 as the result and then on adding +9 and -2 the result comes to 7
5. multiply to -36 add to 9= Multiplying +12 and -3 will give -36 as the result and then on adding +12 and -3 the result comes to 9
 6. multiply to 24 add to 10= Multiplying +6 and +4 will give 24 as the result and then on adding +6 and +4 the result comes to 10
 7. multiply to 18 add to -9= Multiplying -6 and -3 will give -18 as the result and then on adding -6 and -3 the result comes to -9
 8. multiply to -36 add to -16= Multiplying -18 and +2 will give -36 as the result and then on adding -18 and +2 the result comes to -16

3 0

3 years ago

What is the nth term of 5,11,17,23

rewona [7]

Answer:

6n - 1.

Step-by-step explanation:

Arithmetic sequence.

a1 = 5, d = 6.

nth term = a1 + d(n - 1)

= 5 + 6(n - 1)

= 5 + 6n - 6

= 6n - 1.

7 0

3 years ago