Answer:
C. 238π cm^3.
Step-by-step explanation:
Surface area = 2 * area of the circular ends + area of the curved length
= 2π r^2 + 2π r* l
= 2 π 7^2 + 2π 7 * 10
= 98π + 140π
= 238π cm^3.
Answer: t > 6/5
In decimal form, this would be t > 1.2
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Work Shown:
6t > t+6
6t-t > t+6-t ...... subtracting t from both sides
5t > 6
5t/5 > 6/5 .... dividing both sides by 5
t > 6/5
t > 1.2
Answer:
56
Step-by-step explanation:
By tracing the lines on the tree diagram, we see the probability of both being red is 0.5 × 0.6 = 0.3.
The probability of both being blue is 0.5 × 0.4 = 0.2.
So we would expect to get both blue 2/3 of the times we get both red.
X = 2/3 (84)
X = 56
Answer:
x = 22.5
Step-by-step explanation:
![\frac{BH}{DH} = \frac{HM}{HT} \\ \frac{6}{15 + 6} = \frac{9}{9 + x} \\ \frac{6}{21} = \frac{9}{9 + x} \\ 6(9 + x) = 9 \times 21 \\ 54 + 6x = 189 \\ 6x = 189 - 54 \\ 6x = 135 \\ x = \frac{135}{6} \\ x = 22.5](https://tex.z-dn.net/?f=%20%5Cfrac%7BBH%7D%7BDH%7D%20%20%3D%20%20%5Cfrac%7BHM%7D%7BHT%7D%20%20%5C%5C%20%20%5Cfrac%7B6%7D%7B15%20%2B%206%7D%20%20%3D%20%20%5Cfrac%7B9%7D%7B9%20%2B%20x%7D%20%20%5C%5C%20%20%5Cfrac%7B6%7D%7B21%7D%20%20%3D%20%20%5Cfrac%7B9%7D%7B9%20%2B%20x%7D%20%20%5C%5C%206%289%20%2B%20x%29%20%3D%209%20%5Ctimes%2021%20%5C%5C%2054%20%2B%206x%20%3D%20189%20%5C%5C%206x%20%3D%20189%20-%2054%20%5C%5C%20%206x%20%3D%20135%20%5C%5C%20x%20%3D%20%20%5Cfrac%7B135%7D%7B6%7D%20%20%5C%5C%20x%20%3D%2022.5)
Answer:
16/77 or about 21%
Step-by-step explanation:
P(G,B) = 8/22 x 12/21 = 16/77 (simplified)