In ΔSTU, s=97, u=32 and ∠V=10° find all possible values of ∠S to the nearest 10th of a degree.

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

16.2 Jumping Rope

slava [35]

Answer:

Percentage of Diego's time is 75%.

Step-by-step explanation:

Given : Jumping Rope hool held a jump-roping contest. Diego jumped rope for 20 minutes. A school held a jur Jada jumped rope for 15 minutes.

To find : What percentage of Diego's time is that?

Solution :

Diego jumped rope for 20 minutes.

Jada jumped rope for 15 minutes.

Percentage of Diego's time is given by,

$\text{Percentage change}=\frac{\text{Jada time}}{\text{Diego time}}\times 100$

$\text{Percentage change}=\frac{15}{20}\times 100$

$\text{Percentage change}=75\%$

Therefore, percentage of Diego's time is 75%.

7 0

3 years ago

There are 5 ways to drive from Town X to Town Y. There are 3 ways to drive from Town Y to Town Z. How many different ways are th

sasho [114]

Answer:

A

Step-by-step explanation:

I took the test

4 0

3 years ago

How much more interest will Maria receive if she invests $1,000 for one year at x percent annual interest, compounded semiannual

notka56 [123]

Answer:

$0.025x² . . . where x is a number of percentage points

Step-by-step explanation:

The multiplier for semi-annual compounding will be ...

(1 + x/2)² = 1 + x + x²/4

The multiplier for annual compounding will be ...

1 + x

The multiplier for semiannual compounding is greater by ...

(1 + x + x²/4) - (1 + x) = x²/4

Maria's interest will be greater by $1000×(x²/4) = $250x², where x is a decimal fraction.

If x is a percent value, as in x = 6 when x percent = 6%, then the difference amount is ...

$250·(x/100)² = $0.025x² . . . where x is a number of percentage points

_____

Example:

For x percent = 6%, the difference in interest earned on $1000 for one year is $0.025×6² = $0.90.

3 0

3 years ago

How many times do 12 go into 209?

Olenka [21]

209/12 is 17.41, so 12 goes into 209 17 times.

3 0

3 years ago

In ΔSTU, s=97, u=32 and ∠V=10° find all possible values of ∠S to the nearest 10th of a degree.​

In ΔSTU, s=97, u=32 and ∠V=10° find all possible values of ∠S to the nearest 10th of a degree.