Please answer it is for a test... (No link <3)

For the figures below, assume they are made of semicircles, quarter circles and squares. For each shape, find the area and perim

ASHA 777 [7]

The area of the given figure is 576 cm sq.

The perimeter of the given figure is 96 cm.

Step-by-step explanation:

The shape consists of one semicircle and one square which is cut by a semicircle.

To find Area:

Find the area of semicircle= (πr^2)/2

where r is the radius= diameter/2= 24/2= 12 cm

Area of semicircle= π(12)(12)/2= 144π/2= 72π cm sq.

Find the area of square= a^2

where a is the side of square, a=24 cm.

Area of the square= 24*24= 576 cm sq.

To find the total area of the given figure,

Area of the figure= Area of semicircle+(area of square- area of semicircle)

= 72π+576-72π =576 cm sq.

To find perimeter:

Perimeter of semicircle= (2πr)/2

= (2*12*π)/2= 12π cm

Perimeter of square= 4a =4*24 =96 cm

Perimeter of the given figure= perimeter of semicircle+(perimeter of square- perimeter of semicircle)

= 12π+96+12π =96 cm.

4 0

3 years ago

-5x +3y +6z=4 -3x + y + 5z=-5 -4x + 2y + z= 13

lozanna [386]

See the attached image for solution:

6 0

3 years ago

Read 2 more answers

You want to buy three books that are on sale at 20% off. The original prices of the books are $2.50, $4.95, and $6.00. How much

Anon25 [30]

First add the prices of the original books.

2.5+4.95+6=11.45

Find 20% of 11.45

=2.29

Therefore I saved $2.29

8 0

3 years ago

I need help with geometry

astra-53 [7]

Answer:

13

Step-by-step explanation:

Use the Pythagorean theorem:

a^2 + b^2 = c^2
5^2 + 12^2 = c^2
25 + 144 = c^2
c^2 = 169
13

Note: This also happens to be a Pythagorean triple where all three numbers are integers. These can be memorized.

8 0

2 years ago

3. Ahmed wants to buy a new carpet for his house. The cost of the carpet is $240. One day the carpet shop has a special offer of

Mamont248 [21]

Answer:

After using the offer the carpet would cost Ahmed $180.

Step-by-step explanation:

Given:

Cost of the carpet = $240

Discount percent = 25%

We need to find the cost of the carpet after discount.

Solution:

First we will find the Discount cost.

Now we know that;

Discount cost is equal to Discount percent multiplied by Cost of the carpet divided by 100.

framing in equation form we get;

Discount cost = $\frac{25}{100}\times 240 = \$60$

Now we will find the Cost of the carpet after discount.

Now we know that;

Cost of the carpet after discount is equal to Cost of the carpet minus Discount cost.

framing in equation form we get;

Cost of the carpet after discount = $\$240-\$60= \$180$

Hence After using the offer the carpet would cost Ahmed $180.

6 0

3 years ago