Ask question

Ask question

All categories

3 years ago

14

A rectangular piece of paper with length 35 cm and width 14 cm has two semicircles cut out of it, as shown below.

1 answer:

Ede4ka [16]3 years ago

3 0

Answer: 336.14 cm²

Step-by-step explanation:

To find the area of the rectangle after being cut, we want to find the area of the two semicircles and subtract it from the area of the rectangle. The area of the rectangle is just base times height, or 35cm times 14cm = 490cm² . Since there are two semicircles with the same diameter, we can just solve for the area of a circle and subtract it. To find the area of the circle, we need the radius, which we get by dividing the diameter by 2. After that, we calculate the radius to be 7cm, squared and multiplied by 3.14 (area of a circle) to get 153.86 cm². Subtract the areas, and we get 490 - 153.86 = 336.14 cm²

You might be interested in

A ball is launched into the sky at 54.4 feet per second from a 268.8 meter tall building. The equation for the ball’s height, h,

worty [1.4K]

Answer:

7.41

Step-by-step explanation:

Vertical component:

S = 268.8

U = 0

V =?

A = 9.8

T=?

S = ut + 0.5at^2. u = 0

268.8 = 0.5x9. 8xt^2

T = 7.41 seconds

5 0

3 years ago

Read 2 more answers

The question is in the picture, please someone help me with this.

Len [333]

Answer:

X represents time

Y represents the number of spray paint t-shirts

M = 2/1

B = 30

Equation: y = 2/1x + 30

8 0

3 years ago

Find the greatest common factor of

labwork [276]

Answer:

D. xy.

Step-by-step explanation:

The GCF of x and x^2 is x and GCF of y and y^2 is y.

Answer is xy.

5 0

3 years ago

Read 2 more answers

The trailer ramp is shaped like a triangle prism . The height of the ramp is 14 inches and the volume of the ramp is 4704 inches

Hatshy [7]

Answer:

A = 2167.73 cm²

Step-by-step explanation:

Given that,

A trailer ramp is in the shape of a triangular prism.

the height of the ramp, h = 14 inches

The volume of the ramp, V = 4704 inches²

We need to find the area of the base of the trailer ramp.

The volume of the triangular prism is given by :

$V=A\times h$

A is area of base and h is height

$A=\dfrac{V}{h}\\\\A=\dfrac{4704}{14}\\\\A=336\ \text{inches}^2$

or

A = 2167.73 cm²

So, the area of the base of the ramp is 2167.73 cm².

8 0

3 years ago

A right circular cylinder has a height of 19 3/4 ft and a diameter 1 2/5 times its height.

Y_Kistochka [10]

Height of cylinder = $19\frac{3}{4} =19.75$ ft

Diameter of cylinder = $1\frac{2}{5}$ times its height = $1.4 * 19.75=27.65$ ft

Now Radius = half of diameter = $\frac{27.65}{2} =13.825$ ft

Now we have to find the Volume of cylinder

formula for Volume of cylinder is

Volume of cylinder = $\pi r^2 h$

let's plug the values

Volume of cylinder = $(3.14)*(13.825)^2 *(19.75)$

Plug the values in calculator

= 11852.9657 cubic feet

Round off the answer to two decimal places(i.e. hundredth)

= 11852.97 cubic feet

4 0

3 years ago

Read 2 more answers