All categories

3 years ago

A and B are two similar shapes.

1 answer:

4 0

Set it up as a proportion. 12 / 15 = 200 / x. Then cross multiply to get 3000 = 12x. Divide by 12 on both sides so x = 250.

You might be interested in

If each of the following sequences is either arithmetic or geometric, continue the decimal patterns.

I am Lyosha [343]

Answer:

12.8, 11.6, 10.4, 9.2, 8.0, 6.8, 5.6

3, 1.5, 0.75, 0.375, 0.1875, 0.09375, 0.046875

Step-by-step explanation:

The first one is arithmetic as the pattern is deducting 1.2, second one is geometric as it is dividing 2.

4 0

3 years ago

A series of three? separate, adjacent tunnels is constructed through a mountain. Its length is approximately 25 kilometers. Each

Nadya [2.5K]

Answer:

$312.5\pi \text{ km}^3\approx 981.75\text{ km}^3$

Step-by-step explanation:

We have been given that a series of 3 separate, adjacent tunnels is constructed through a mountain. Its length is approximately 25 kilometers.

Each of the three tunnels is shaped like a half-cylinder with a radius of 5 meters.

Since we know that volume of a semicircular or a half cylinder is half the volume of a circular cylinder.

$\text{Volume of a semicircular cylinder}=\frac{\pi r^2h}{2}$ , where,

r = Radius of cylinder,

h = height of the cylinder.

Upon substituting our given values in volume formula we will get,

$\text{Volume of a semicircular cylinder}=\frac{\pi (5\text{ km})^2*25\text{ km}}{2}$

$\text{Volume of a semicircular cylinder}=\frac{\pi*25\text{ km}^2*25\text{ km}}{2}$

$\text{Volume of a semicircular cylinder}=\frac{\pi*625\text{ km}^3}{2}$

$\text{Volume of a semicircular cylinder}=\pi*312.5\text{ km}^3$

$\text{Volume of a semicircular cylinder}=981.74770\text{ km}^3$

Therefore, the volume of earth removed to build the three tunnels is $312.5\pi \text{ km}^3\approx 981.75\text{ km}^3$ .

4 0

2 years ago

What is the common factors of 15,45 and 90

mina [271]

1,2,3,5,6,9,10,1518,30,45,90

8 0

2 years ago

John wants to plant some flowers in a cube shaped planter box if one edge of the box measures 4 inches how much soil will be nee

Lynna [10]

About 4 inches of soil is needed

7 0

1 year ago

Where the square root of 7 be located on the number line below?

Semmy [17]

Answer: p and q

Step-by-step explanation: 2.64 x 2.64 = 6.9696

7 0

3 years ago