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3 years ago

Calculate the area of a sector of a circle that subtends an angle of 45° at the center of the circle, radius 14cm

Mathematics

1 answer:

horrorfan [7]3 years ago

3 0

Calculate the area of the full circle:

Area = PI x r^2

Area = 3.14 x 14^2 = 615.44 sq. cm

45 degrees is 1/8 of a circle, multiple the area of the circle by 1/8

615.44 x 1/8 = 76.93, round to 77 cm^2

The answer is B. 77 cm^2

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Find the volume of a sphere with a surface area of 3600pi in squared.

Anna71 [15]

Answer:

36000pi

Step-by-step explanation:

V = 4/3*pi*r^3 so we need to know r

we know surface area, which is 4pi*r^2=3600pi. so we can solve for r

r=30

so v = 4/3*pi*30^3 = 36000pi

5 0

3 years ago

Select the graph for the solution of the open sentence. Click until the correct graph appears. |x| > 3/2

Soloha48 [4]

ANSWER

See attachment

EXPLANATION

The given inequality is

$|x| \: > \: \frac{3}{2}$

This implies that,

$x\: > \: \frac{3}{2} \: or \: - x\: > \: \frac{3}{2}$

Multiply both sides of the second inequality by -1 and reverse the inequality sign.

$x\: > \: \frac{3}{2} \: or \: x\: < \: - \frac{3}{2}$

The graphical solution to this inequality is shown in the attachment.

7 0

3 years ago

If 3x−y=12, what is the value of <br>8x<br>2y

PSYCHO15rus [73]

Answer:

$8x=32\\2y=-24$

Step-by-step explanation:

When solving for 1 variable, set the other to 0 and solve.

$3x-y(0)=12\\3x=12\\x=4\\4*8=32\\8x=32\\\\3(0)-y=12\\-y=12\\y=-12\\-12*2=-24\\2y=-24$

8 0

3 years ago

If you are selling a item for 38.50 for 30% what would it be

Rzqust [24]

If you were selling an items for $35.50 as the original price, but you give 30% off the item price then the result of it's cost would be:
Sale / Discounted Price: $26.95
Then if you're wondering, you'll be saving this amount of money:
Amount Saved (Discount): $11.55
Hope this helps!

3 0

3 years ago

Read 2 more answers

Whats an inequality to express the relationship between -2 and -5.

AnnyKZ [126]

Answer:

-2>-5

Step-by-step explanation:

-2 is a greater number than -5

Have a great day!!

5 0

3 years ago