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NemiM [27]
3 years ago
8

Ruby red paint costs $0.50 per square inch. A ball is painted ruby red and costs $100.00 to paint. What is the diameter of the b

all? Round to the nearest tenth of an inch.. A.4.0 in.. B.5.6 in.. C.8.0 in.. D.16.0 in.
Mathematics
2 answers:
8090 [49]3 years ago
6 0
The diameter can be obtained by the formula A = pi*r^2

First, multiply 0.50 * 100 to obtain the area of the ball, then simplify and solve for the radius. Doubling the radius would yield the diameter. This is shown below:

Area of the ball = 0.50 * 100 = 50 in^2
<span>A = pi*r^2
</span>50 = (3.14)*r^2
r = 3.99 = approx. 4
diameter = 2r
Diameter = 8 inches.

Among the choices, the correct answer is C. 8.0 in. 

vivado [14]3 years ago
5 0

Answer:

Option C is the answer.

Step-by-step explanation:

A ball is painted ruby red and costs $100.00 to paint and Ruby red paint costs $0.50 per square inch.

This means for an area of 4\pi r^{2}, $100 were used. 4\pi r^{2} because the ball is a sphere.

where r is the radius.

We know that , Area of ball * cost of paint per square inch = total cost of paint.

4\pi r^{2} \times0.5=100

2\pi r^{2}=100

r^{2}= \frac{100}{2\pi }

r^{2}=15.923 ; r=3.99 inch

Radius is 3.99 inches. or we can round this to 4 inches.

Hence, the diameter will be = 2\times4=8 inches.

Therefore, option C: 8 inches is the answer.

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6. Evaluate f(-1).
Anna11 [10]

Answer:

6. -f         7. f= 6/8

Step-by-step explanation:

Hope dis helps!!

4 0
3 years ago
Please HELP I’m being timed!!!
Tanzania [10]

Answer:

C is the answer I think...

6 0
3 years ago
Suppose that $3500 is placed in an account that pays 2% interest compounded each year. Assume that no withdrawals are made from
Burka [1]
1% of $3500 is $35

Double that means

2% is $70

So first year would be $3570

Now

1% of $3570 is $35.70
2% is $71.40

So second year would be

$3641.40
7 0
3 years ago
Select the equation of the line that passes through the point (2, 6) and is perpendicular to the line x = 4.
zysi [14]
Perpendicular lines have opposite reciprocal slopes. 

x = 4 has a slope of undefined since it is a vertical line.

It's undefined because 1/0 = undefined. We can't divide by 0.

The opposite reciprical of 1/0 is -0/1, which equals to 0.

Any line with a slope of 0 is:

y = 0x + b
y = b

This line goes through the point of (2, 6).

Since the equation starts with y = something, we have to use the y-value of the point it goes through. The point is in the form of (x, y).

6 is in the y-value.

The equation of the perpendicular line is y = 6.
3 0
3 years ago
Mary wants to buy candies with an amount of money she has in her pocket.  we know that if she had $3.20 more money she could bu
liubo4ka [24]

Answer:

the price per candy is $0.16

and she has $16.00 in her pocket.

Step-by-step explanation:

x = the money in her pocket.

y = the price per candy

x + 3.2 = 120×y

x - 2.4 = 85×y

y = (x - 2.4)/85

=>

x + 3.2 = 120×(x - 2.4)/85 = (24x - 57.6)/17

=>

(17x + 17×3.2)/17 = (24x - 57.6)/17

17x + 54.4 = 24x - 57.6

54.4 = 7x - 57.6

112 = 7x

x = 16

y = (16 - 2.4)/85 = 13.6/85 = 0.16

5 0
3 years ago
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