Answer:
A 4/605
Step-by-step explanation:
mathematics = 11 letters
P(m) = number of m's/total = 2/11
we replace it so we have mathematics = 11 letters
P(s) = number of s's/total = 1/11
not replacing it
we replace it so we have mathematic = 10 letters
P(vowel) = number of vowel/total = 4/10 = 2/5
P(m, replace,s, no replace, vowel) = 2/11* 1/11 * 2/5 = 4/605
The radius of the sector is 10.27 miles
<h3>How to find the radius of a sector?</h3>
The area of a sector can be represented as follows;
area of a sector = ∅ / 360 × πr²
where
- r = radius
- ∅ = central angle
Therefore,
∅= 25 degrees
area of the sector = 23 miles²
area of a sector = ∅ / 360 × πr²
23 = 25 / 360 × πr²
cross multiply
23 × 360 = 25πr²
8280 = 25πr²
divide both sides by 25
πr² = 8280 / 25
πr² = 331.2
r² = 331.2 / 3.14
r² = 105.477707006
r = √105.477707006
r = 10.2702336877 miles
Therefore, the radius of the sector is 10.27 miles
learn more on sector here: brainly.com/question/8488428
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7 out of 10 were carrying a backpack...and 3 out of 10 were not
that means 7/10 of the total students had backpacks and 3/10 of the total students did not
7/10 * 700 = 4900/10 = 490 had backpacks <==
3/10 * 700 = 2100/10 = 210 did not
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Answer: GCF = 2x³-------------------------------------
Surface area = 50 x 30 = 150
Per cm of height 150 cubic cm needed
7cm height needed
150 x 7 = 1050 cubic cm needed
