The distance between Durham to Birmingham is 240 miles
Answer:
SA = 680 units^2
V =1200 unit^3
Step-by-step explanation:
If the radius is 5 then the diameter is 2r = 2*5 = 10
The height would remain the same
Surface area of a prism is given by
SA = 2 (lw+lh+hw)
l =d = 10 w = d = 10 h = 12
SA = 2 ( 10*10 + 10 * 12+ 12* 10)
SA = 2( 100+120+120)
SA = 2(340)
SA = 680 units^2
V = l*w*h = 10*10*12 =1200 unit^3
Answer:
Step-by-step explanation:
J is a tangent to the circle and it is at right angle,
So applying Pythagorean theorem
HK² = KJ² + HJ²
HK² = 8²+ 15²
HK² = 64 + 225
HK² = 289
HK = √289
HK = 17 mi
16. Answer: $2142.00
<u>Step-by-step explanation:</u>
2100 - 2100(0.15)
= 2100 - 315
= 1785
1785 + 1785(0.20)
= 1785 + 357
= 2142
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17. Answer: $283.25
<u>Step-by-step explanation:</u>
Let x represent the price of the glove before tax
x + x(0.165) = 329.99
1.165x = 329.99
<u>÷1.165 </u> <u>÷1.165 </u>
x = 283.25
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18. Answer: $0.25 per topping
<u>Step-by-step explanation:</u>
Choose any 2 points. I chose (2, 3.00) and (4, 3.50)
Use the slope formula to find the rate:
rate = ![\frac{3.50-3.00}{4-2}](https://tex.z-dn.net/?f=%5Cfrac%7B3.50-3.00%7D%7B4-2%7D)
= ![\frac{0.50}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B0.50%7D%7B2%7D)
= ![\frac{0.25}{1}](https://tex.z-dn.net/?f=%5Cfrac%7B0.25%7D%7B1%7D)
Answer: 5 valid arrangements
Step-by-step explanation:
This depends on whether the boys or girls swapping places are considered unique solutions. I'm going to assume that is no, because there would be an unrealistic amount of solutions if it is true.
Assuming G = girl and B = boy, these are the possible arrangements.
(I will bold the valid solutions).
GGBBBB
GBGBBB
GBBGBB
GBBBGB
GBBBBG
BGGBBB
BGBGBB
BGBBGB
BGBBBG
BBGGBB
BBGBBG
BBBGGB
BBBBGG
Thus, there are 5 valid arrangements.
Hope it helps <3