All categories

2 years ago

This figure is made up of a triangle and a semicircle.

Mathematics

1 answer:

salantis [7]2 years ago

5 0

We know that

[the area of semicircle]=pi*r²/2
for r=3.5 units
[the area of semicircle]=pi*3.5²/2---> 19.24 units²

[the area of the triangle]=b*h/2
b=7 units
h=3 units
[the area of the triangle]=7*3/2-----> 10.5 units²

the area of the figure=19.24+10.50----> 29.74 units²----> 29.7 units ²

the answer is
29.7 units ²

You might be interested in

Emerson purchased a game that was on sale for 18% off. The sales tax in his county is 8%. Let y represent the original price of

leva [86]

Answer:

y(.82)*1.08

Step-by-step explanation:

You multiply by .82 to get the cost of the game after the discount and then by 1.08 to add the tax and total amount.

6 0

2 years ago

Read 2 more answers

Which is closest to the quotient 2,967 ÷ 0.003?

rodikova [14]

Answer:

989000

Step-by-step explanation:

Divide 2,967 ÷ 0.003

7 0

2 years ago

If the shaded cross sections of the solids have the same area, which of the following corresponds to the value of a: the side le

Nikolay [14]

Answer:

$4\sqrt{\pi}$

Step-by-step explanation:

The cross section of a sphere is a circle with area $\pi r^2$ , where radius is given as 4
The cross section of the cube is a square with area $a^2$ , where a is side length of square

The circle area = the square area. Thus we have:

$\pi r^2 = a^2 \\\pi(4)^2=a^2\\16\pi=a^2\\\sqrt{16\pi}=a\\ a=\sqrt{16} \sqrt{\pi} \\a=4\sqrt{\pi}$

6 0

2 years ago

Read 2 more answers

Jacque needs to buy some pizzas for a party at her office. She's ordering from a restaurant that charges a \$7.50$7.50dollar sig

BigorU [14]

Answer:

Step-by-step explanation:

Delivery fee = $7.50

Price per pizza = $14

Planned amount = $60

7.50 + 14p < 60

Subtract 7.50 from both sides

14p < 60 - 7.50

14p < 52.50

Divide both sides by 14

p < 52.50 / 14

p < 3.75

Each pizza is cut into 8 slices

Total slices she can afford = 3.75 × 8

= 30 slices

5 0

2 years ago

In the figure, angle ZYX is measured in degrees. The area of the shaded sector can be determined using the formula StartFraction

tensa zangetsu [6.8K]

<u>The given options are:</u>

(A)the central angle measure of the sector divided by the total angle measure of a circle multiplied by the area of the circle will yield the area of the sector.

(B)the central angle measure of the sector divided by the total angle measure of a circle multiplied by the circumference of the circle will yield the area of the sector.

(C)the central angle measure of the sector multiplied by the area of the circle will yield the area of the sector.

(D)the central angle measure of the sector multiplied by the circumference of the circle will yield the area of the sector.

Answer:

(A)the central angle measure of the sector divided by the total angle measure of a circle multiplied by the area of the circle will yield the area of the sector.

Step-by-step explanation:

The area of the shaded sector can be determined using the formula:

$\frac{m\angle ZYX}{360^\circ} \cdot \pi r^2$