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GREYUIT [131]
3 years ago
11

Find the surface area of an orange with a 3'' radius. 24 sq. in. 36 sq. in. 144 sq. in.

Mathematics
2 answers:
erastova [34]3 years ago
8 0

Answer:

The surface of orange is 36π square inches.

Step-by-step explanation:

Given :An orange with a 3'' radius.

We have to find the surface area of orange with radius 3 inches.

Since, the orange is in shape of sphere.

So,  Surface of area of orange is same as surface area of sphere.

We know,

Surface area of sphere = 4\pi r^2

Given : radius= 3 inches

Surface area of orange = 4\pi\cdot (3)^2

Surface area of orange = 4\pi\cdot 9=36\pi

Thus, The surface of orange is 36π square inches.

Alisiya [41]3 years ago
5 0
Area of sphere is given by:
Area=4πr²
but:
r=3 inches
thus
Area=4×π×3²
Area=36 π in²
Answer: 36π sq. in
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a cell phone company has a basic monthly plan of $40plus $0.45 for many minutes ised over 700. John was charged a total of $48.1
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Cost of month plan = $40

Cost of minutes used = $0.45 after 700 minutes

Total cost = $48.10

Let x be the total minutes used
Total cost = 40 + 0.45(x - 700)

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Form the equation and solve x
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40 + 0.45(x - 700) = 48.10
40 + 0.45x - 315 = 48.10
0.45x - 275 = 48.10
0.45x = 48.10 + 275
0.45x = 323.10
x = 323.10 ÷ 0.45
x = 718

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Answer: John had used 718 mins this month
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Nana76 [90]

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Step-by-step explanation:

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3 years ago
Derive the equation of the parabola with a focus at (−5, 5) and a directrix of y = −1. (2 points)
umka2103 [35]

Focus of the parabola is (-5,5) and directrix is y = -1.

Let's assume a point (x,y) on parabola.

According to definition of parabola, the distance between point (x,y) and focus (-5,5) would be same as the distance between the point (x,y) and directrix y = -1.

\sqrt{(x+5)^2+(y-5)^2} = \sqrt{(y+1)^2} \\\\(x+5)^2+(y-5)^2=(y+1)^2 \\\\(x+5)^2 + y^2 - 10y +25 = y^2 +2y +1 \\\\(x+5)^2 =  -y^2 +10y -25 + y^2 +2y +1 \\\\(x+5)^2 = 12y -24 \\\\12y =  (x+5)^2  +24 \\\\ y = \frac{1}{12} (x+5)^2  +2

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7 0
3 years ago
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