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4 years ago

5

Two similar rectangular prisms have a scale factor of 2:3. The larger prism has a volume of 30 cubic centimeters. What is the vo

lume of the smaller prism in cubic centimeters?

1 answer:

DanielleElmas [232]4 years ago

3 0

30/3=10
10*2=20
the volume of the smaller figure is 20 cubic cm

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a 120 degree sector of a circle has an area of 67 square centimeters. to the nearest centimeter, what is the diameter of the cir

Vitek1552 [10]

Answer:

16 cm

Step-by-step explanation:

We have to first find the radius of the circle.

The area of a sector is given as:

$A = \frac{\alpha }{360} * \pi r^2$

where α = central angle of the sector = 120°

r = radius of the circle

Therefore:

$67 = \frac{120}{360} * \pi r^2\\\\\pi r^2 = \frac{360 * 67}{120}\\ \\r^2 = \frac{360 * 67}{120 * \pi}\\\\r^2 = 63.98\\\\r = \sqrt{63.98} = 8.0 cm$

The diameter of a circle is twice its radius, therefore:

D = 2 * 8 = 16 cm

The diameter of the circle is 16 cm

8 0

3 years ago

Select the number that matches this list of factors:

IrinaK [193]

Answer:

12

Step-by-step explanation:

11 doesn't go into any numbers because it is prime, same with 17. 15 only goes into 3 and 5 so that's not it either. 21 only goes into 3 and 7, 26 doesn't go into 4 nor 6. 4 doesn't go into 30 evenly, so that leave just 10 and 12. 3,4,nor 6, go into 10. That leaves only 12 as the final answer.

7 0

4 years ago

1) 4 divided by 2/5

Lina20 [59]

Answer:

1.) 10

2.) 8

3.) 72/11 or 6.54545

4.) 9

5.) 36/7 or 5.142857143

4 0

3 years ago

A website-hosting service charges businesses a onetime setup fee of $350 plus d dollars for each month. If a business owner paid

aleksandr82 [10.1K]

Answer:

$55.

Step-by-step explanation:

We have been given that a website-hosting service charges businesses a onetime setup fee of $350 plus d dollars for each month. A business owner paid $1,010 for the first 12 months, including the setup fee.

We can use our given information to form an equation as: $1010=12d+350$

Now let us solve for d.

$1010-350=12d$

$660=12d$

$d=\frac{660}{12}$

$d=55$

Therefore, the value of d is $55.

7 0

3 years ago

Prime number after 167, 118, 82, 57, 41,

Fiesta28 [93]

The prime numbers after 167, 118, 82, 57, 41 are 37, 31, 29, 23, 19, 17, 13, 11, 7, 5, 3, 2.

Prime numbers are numbers that are divisible by 1 and itself.

This are number greater than one with only two factors which are 1 and itself.

In other words, this number, when they are divided by another number other

than 1 or itself , one will get a remainder that is not zero.

Example of prime numbers are 2, 5, 7, 11, 13 etc.

The prime numbers after 167, 118, 82, 57, 41 are as follows:

37, 31, 29, 23, 19, 17, 13, 11, 7, 5, 3, 2.

learn more about prime number here: brainly.com/question/26013414

8 0

3 years ago