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LekaFEV [45]
2 years ago
5

The Surface Area of a sphere is 36π cm2. Find its diameter.

Mathematics
1 answer:
Dmitry_Shevchenko [17]2 years ago
6 0

Answer:

6 cm

Step-by-step explanation:

A = 4πr^2

4πr^2 = 36π cm^2

r^2 = 9 cm^2

r = 3 cm

d = 2r = 6 cm

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Right triangles and trigonometry help!
Maslowich

Step-by-step explanation:

sin \: 45 \degree =  \frac{39}{z}  \\  \\  \therefore \:  \frac{1}{ \sqrt{2} }  =  \frac{39}{z}   \\  \\  \therefore \: z = 39 \sqrt{2}  \\ let \: p \: be \: the \: perpendicular \:  \\  \\\therefore \: tan \: 45 \degree =  \frac{39}{p}  \\  \\ \therefore \:1 = \frac{39}{p}  \\  \\ \therefore \:p = 39 \\  \\ sin \: 60 \degree =  \frac{39}{x}   \\  \\ \therefore \:  \frac{ \sqrt{3} }{2} =  \frac{39}{x}  \\  \\ \therefore \: x =  \frac{78}{ \sqrt{3} }  \\  \\ \therefore \: x =  \frac{78 \sqrt{3} }{ 3 }  \\  \\ \therefore \: x =  26 \sqrt{3} \\\\tan\: 60 \degree =  \frac{39}{y}   \\  \\ \therefore \:  \sqrt{3}  =  \frac{39}{y}  \\  \\ \therefore \: y =  \frac{39}{ \sqrt{3} }  \\  \\ \therefore \: y=  \frac{39 \sqrt{3} }{ 3 }  \\  \\ \therefore \: y =  13 \sqrt{3} \\

5 0
3 years ago
Factor completely 2x3 + x2 - 18x - 9
melisa1 [442]
Factor the following:
2 x^3 + x^2 - 18 x - 9

Factor terms by grouping. 2 x^3 + x^2 - 18 x - 9 = (2 x^3 + x^2) + (-18 x - 9) = x^2 (2 x + 1) - 9 (2 x + 1):
x^2 (2 x + 1) - 9 (2 x + 1)

Factor 2 x + 1 from x^2 (2 x + 1) - 9 (2 x + 1):
(2 x + 1) (x^2 - 9)

x^2 - 9 = x^2 - 3^2:
(2 x + 1) (x^2 - 3^2)

Factor the difference of two squares. x^2 - 3^2 = (x - 3) (x + 3):

Answer:  (x - 3) (x + 3) (2 x + 1) thus the Answer is C.
7 0
3 years ago
Read 2 more answers
A circular rug has a diameter of 3 feet. Part A What is the area in square feet, of the rug rounded to the nearest whole number?
lidiya [134]

Answer:

7.069 ft²

Step-by-step explanation:

Given that:

Shape of rug = circular

Diameter of rug = 3 feets

The Area in square feet of the rug =?

Area of a circle :

πr²

r = Radius

r = diameter / 2 = 3 /2 = 1.5 feets

Area = π * 1.5^2

Area = 7.0685834

Area = 7.069 ft²

7 0
2 years ago
The architect drew a design for the new kitchen. What is the area of the kitchen drawing?
nordsb [41]

Answer:

24

Step-by-step explanation:

Area of the kitchen = Area small rectangle + area large rectangle + area triangle

Area small rectangle = (8-4)*1.5

Area large rectangle = (8-4)* 3

Area triangle = (1/2)*base*height = (1/2)*4*3

Area of the kitchen = (8-4)*1.5 +  (8-4)* 3 + (1/2)*4*3 = 24 cm²

8 0
2 years ago
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