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Harlamova29_29 [7]
3 years ago
13

What is the surface area of the sphere

Mathematics
1 answer:
belka [17]3 years ago
5 0
To solve for surface area of a sphere, the formula is 4*pi*r^2 where "r" is the radius. Since we know the diameter and that it is the length across the sphere, and that the radius is the distance from the center to the edge, we can divide the diameter by 2 to get the radius. This shows the radius is 5. Now all we have to do is substitute in the 5 for the "r" and solve.

SA=4*pi*r^2
SA=4*pi*5^2
SA=314.159 

We are rounding to the hundredth here, so we can say the surface area of the sphere is (A) approximately 314.16 square miles.
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An architect designs a castle tower for a new attraction at a popular amusement park. Blueprints of the tower, which is in the s
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Answer:

<u>The surface area of the tower is 5,218.1 m²</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Height of the blueprint = 47 cm

Length of the blueprint = 23 cm

Width of the blueprint = 25 cm

Scale factor 1 : 96

2. Calculate the actual surface area of the tower and enter your answer in square meters with two decimal places.

Let's calculate the measurements of the actual tower:

Height of the blueprint = 47 * 96 = 4,512 cm = 45.12 m

Length of the blueprint = 23 * 96 = 2,208 cm = 22.08 m

Width of the blueprint = 25 * 96 = 2,400 cm = 24 m

Now, let's calculate the surface area of the tower, this way:

Surface area of the tower = 2* (24 * 22.08) + 2 * (45.12 * 22.08) + 2 * (45.12 * 24)

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4 years ago
Solve the equation by completing the square. Round to the nearest hundredth if necessary? X^2+3x=24
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X^2+3x=24, halve the linear coefficient, square it, and add it to both sides

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(x+1.5)^2=26.25  take the square root of both sides

x+1.5=±√26.25  subtract 1.5 from both sides

x=-1.5±√26.25

x=-1.5-√26.25 and -1.5+√26.25

x≈ -6.62 and 3.62
6 0
3 years ago
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