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3 years ago

Sarah is making a wall hanging in the shape shown below.

Mathematics

1 answer:

Oduvanchick [21]3 years ago

3 0

Answer:

Step-by-step explanation:

The area of the wall hanging shown in blue is the area of the square 8 by 8 minus the area of the cutout. Notice the cutout is a triangle? To find the total area, subtract the area of the triangle from the square.

The square has the sides 8 by 8 and its area is found as A = 8*8 = 64.

The triangle measures 4 inches by 4 inches. The area is found as A = 1/2*4*4 = 8.

Subtract the two areas.

64 - 8 = 56

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30 of the 120 passengers on a plane our children. What percent of the passengers are children?

My name is Ann [436]

Answer:

30%

Step-by-step explanation:

7 0

3 years ago

What is the area of a trapezoid that has the bases of 1 1/4ft and 14 inches and a height of 3 inches.

Rom4ik [11]

The area of the trapezoid is 43.5 inches²

Step-by-step explanation:

The formula of the area of a trapezoid is $A=\frac{1}{2}(b_{1}+b_{2})h$ , where:

$b_{1}$ and $b_{2}$ are the two parallel bases
h is its height

∵ $b_{1}$ = $1\frac{1}{4}$ feet

∵ $b_{2}$ = 14 inches

∵ h = 3 inches

- Change the length of $b_{1}$ from feet to inches

∵ 1 foot = 12 inches

∴ $1\frac{1}{4}$ feet = $1\frac{1}{4}$ × 12 = 15 inches

∴ $b_{1}$ = 15 inches

Substitute the values of $b_{1}$ , $b_{2}$ and h in the

formula of the area

∴ $A=\frac{1}{2}(15+14)(3)$

∴ A = 43.5 inches²

The area of the trapezoid is 43.5 inches²

Learn more:

You can learn more about the area of figures in brainly.com/question/12919591

#LearnwithBrainly

5 0

4 years ago

Find the radian measure of the central angle.

ruslelena [56]

Answer:

in radian measure

theta=length of arc /radius

so a=l/r

a=56/70

a=4/5

Step-by-step explanation:

a= theta angle in radian

4 0

3 years ago

The water level in a vat changed by -9.9 inches in 2.25 hours as the vat was drained. What is the average change in the vats wat

olga_2 [115]

The answer without any certain formula would be 18.211

7 0

4 years ago

Read 2 more answers

A cylinder fits inside a square prism as shown. For every cross section, the ratio of the area of the circle to the area of the

kolbaska11 [484]

Answer:

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

Step-by-step explanation:

Given : A cylinder fits inside a square prism.

To find : The volume of cylinder

Solution : Refer the attached graph.

Area of circle = $\pi r^2$

Area of square = $s^2$

Side of square = diameter of circle= $D^2$

Diameter = 2r

∴ Area of square= $2r^2=4r^2$

$\frac{Area of circle}{Area of Square}=\frac{\pi r^2}{4r^2}=\frac{\pi}{4}$

Area of circle is $\frac{\pi }{4}$ of area of square.

Volume is always = area × height

Volume of prism = Area of square × h = $4r^2h$

Volume of cylinder = Area of circle × h = $\pi r^2h$

Now, rate

$\frac{Volume of cylinder}{Volume of prism}=\frac{\pi r^2h}{4r^2h}=\frac{\pi}{4}$

⇒Volume of cylinder is $\frac{\pi }{4}$ of Volume of prism.

Volume of Cylinder = $\frac{\pi }{4}\times Volume of prism$

Volume of cylinder = $\frac{\pi }{4}\times 4r^2h$

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

6 0

3 years ago

Read 2 more answers