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Elan Coil [88]
3 years ago
11

How do you find the area of a sphere with a radius of 5 feet

Mathematics
2 answers:
drek231 [11]3 years ago
7 0
S \alpha = 4 \pi r^{2} \\ S \alpha = 4  \pi 5^{2} \\ S \alpha = 100  \pi \\ S \alpha = 314 ft^{2} ( aprrox.)
vovangra [49]3 years ago
5 0
It helps immensely if you know the formula for the area of a sphere.

Area of a sphere = (4 π) (radius)² . . . . . for ANY sphere.

If the radius is 5-ft, then Area = (4 π) (5)² = 100 π = 314.16... square feet (rounded)
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PLEASE HURRY. <br> 24. Factor completely<br> (1 Point<br> 14x^3 – 16x^2 + 21x – 24
Inessa05 [86]

Answer:

(7x - 8)(2x² + 3)

Step-by-step explanation:

Given

14x³ - 16x² + 21x - 24 ( factor the first/second and third/fourth terms )

= 2x²(7x - 8) + 3(7x - 8) ← factor out (7x - 8) from each term

= (7x - 8)(2x² + 3)

7 0
3 years ago
What is the y-intercept of the line perpendicular to the line...
Dominik [7]

Answer:

D) 5

Step-by-step explanation:

Perpendicular lines have opposite reciprocal slopes.

The line: y=\frac{3}{4} x+3 has a slope of \frac{3}{4} as it is  in y=mx+b form, where m is the slope, and b is the y-intercept.

Since the slope is \frac{3}{4}, we see that the negative reciprocal slope is -\frac{4}{3}, as \frac{4}{3} is the reciprocal (flip the numerator and denominator).

From here, we can use point slope form: y - y1 = m(x- x1), where (y1, x1) is  the point. In this case, (3, 1) is the point.

Thus, we have: y-1 =-\frac{4}{3}(x-3) as our final equation.

Simplifying: y-1 = -\frac{4}{3}x+4

And: y=-\frac{4}{3}x+5, which gives us the y-intercept to be 5.

Let me know if this helps!

4 0
2 years ago
Kent and Bradley both work at a car dealership. Kent makes $10/hour + 3% on the amount of sales he completes. Bradley only makes
Masteriza [31]

Answer: There is difference of $660 in their paychecks.

Step-by-step explanation:

Since we have given that

Number of hours in one week they worked = 40

Amount of sales = $78000

Kent makes $10 per hour plus 3% on the amount of sales .

So, the equation for Kent becomes,

10\times 40+\frac{3}{100}\times 78000\\\\=400+3\times 780\\\\=400+2340\\\\=\$2740

Similarly, Bradley only makes $7 per hour but he makes 4% on the amount of his sales .

So, the equation for Bradley becomes,

7\times 40+\frac{4}{100}\times 78000\\\\=280+4\times 780\\\\=280+3120\\\\=\$3400

hence, the difference between of their paychecks is given by

\$3400-\$2740\\\\=\$660

Therefore, there is difference of $660 in their paychecks.

3 0
3 years ago
I need help please?!!!
Rina8888 [55]

Answer:

No

Step-by-step explanation:

To find out if the ordered pair is a solution, just plug x and y into the equation. Is 5(1) + (3) equal to or less than -3? No, it equals 8, which is greater than -3. So the answer is No.

4 0
3 years ago
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I bought a box from the post office that has a volume of 24 cubic centimeters,
Ierofanga [76]

A I hope it can help youb

6 0
3 years ago
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