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ArbitrLikvidat [17]
3 years ago
12

Alpha bought 4 pies, which he plans to share with a group of his friends. If there is exactly enough to give each member of the

group one-sixth of the pie, how many people are in the group?
Janasia finished 34 of the race in 6 hours. How long was the entire race?
Mathematics
1 answer:
Gnesinka [82]3 years ago
6 0
There are 24 people, there are 4 pies and they each get 1/6th, 4x6=26

The entire race was 8 hours. If 3/4th of the race was 6 hours, 6/3=2 meaning 1/4th of the race is 2 hours and the full thing being 8.
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Step-by-step explanation:

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The circle below has center O, and its radius is 4 ft. Given that m ZAOB=50°find the length of the minor arc AB.
exis [7]

Answer:

The length of minor arc AB is \frac{10}{9} π  ft

Step-by-step explanation:

The formula of the length of an arc in a circle is L = \frac{\alpha }{360} × 2πr, where α is the central angle subtended by the arc, and r is the radius of the circle

∵ The radius of the circle is 4 ft

∴ r = 4

∵ ∠AOB is a central angle subtended by minor arc AB

∵ m∠AOB = 50°

∴ α = 50°

Substitute the values of r and α in the rule above

∵ L = \frac{50}{360} × 2π(4)

∴ L = \frac{10}{9} π

∴ The length of minor arc AB is \frac{10}{9} π  ft

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The Expression 4x^2-p(x)+7 leaves a remainder of -2 when divided by (x-3) find the value of p
Romashka-Z-Leto [24]

Answer:

(c)  For p = 15,  4x^2-p(x)+7 leaves a remainder of -2 when divided by (x-3).

Step-by-step explanation:

Here,  The dividend expression is  4x^2-p(x)+7 = E(x)

The Divisor = (x-3)

Remainder  = -2

Now, by <u>REMAINDER THEOREM</u>:

Dividend  = (Divisor x Quotient)  + Remainder

If ( x -3 ) divides the given polynomial with a remainder -2.

⇒  x = 3  is a  solution of given polynomial E(x)  - (-2) =  

E(x)  - (-2)  = 4x^2-p(x)+7 -(-2)  = 4x^2-p(x)+9 =  S(x)

Now, S(3) = 0

⇒4x^2-p(x)+9 = 4(3)^2 - p(3) + 9 = 0\\\implies 36 - 3p + 9 = 0\\\implies 45= 3p , \\or p  =15

or, p =1 5

Hence, for p = 15,  4x^2-p(x)+7 leaves a remainder of -2 when divided by (x-3).

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