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Formula
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Area of circle = πr²
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Find Area of circle
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Area of circle = 3.15 x 3²
Area of circle = 28.26 unit²
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Answer: Area = 28.16 unit²
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Answer:
The distance from the base of the ladder to the base of the house is 10ft
Step-by-step explanation:
From the question, we can gather that the ladder makes a right angle shape with the wall of the house.
The length of this ladder which represents the hypotenuse of the right angled triangle is 26ft while the height of the house to the roof is 24ft
To calculate the distance between the base of the ladder and the base of the house, we shall be employing the use of Pythagoras’ theorem which states that the square of the hypotenuse equals the sum of the square of the 2 other sides
We have established that the hypotenuse is the length of the ladder which is 26ft
Let the distance we want to calculate be d
26^2 = 24^2 + d^2
d^2 = 26^2 -24^2
d^2 = 676 - 576
d^2 = 100
d = square root of 100
d = 10ft
Answer: He will practice both on every 15 days.
Step-by-step explanation:
Given: Jaquan practices soccer every 3 days.
He practices basketball every 5 days Jaquan practiced both today.
The number of days until he practices both = Least common multiple of 3 and 5
= 3 x 5 [Both are primes]
= 15
Hence, he will practice both on every 15 days.
- Least common multiple of two numbers p and q is the smallest number that is divisible by both p and q.
Answer:4
Step-by-step explanation:
f(1)=6(1)+2
=8
g(f(1))=2(8)+4/5
=20/5
=4
Answer:
The correct option is option (3) 4 ÷ 25.
Step-by-step explanation:
The expression in terms of <em>m</em> and <em>n</em> is:
![F(m,n)=[\frac{2m^{-1}n^{5}}{3m^{0}n^{4}}]^{2}](https://tex.z-dn.net/?f=F%28m%2Cn%29%3D%5B%5Cfrac%7B2m%5E%7B-1%7Dn%5E%7B5%7D%7D%7B3m%5E%7B0%7Dn%5E%7B4%7D%7D%5D%5E%7B2%7D)
Exponent rule of division:
Compute the value of the expression for <em>m</em> = -5 and <em>n</em> = 3 as follows:
![F(-5,3)=[\frac{2\csdot (-5)^{-1}\cdot (3)^{5}}{3\cdot (-5)^{0}\cdot (3)^{4}}]^{2}](https://tex.z-dn.net/?f=F%28-5%2C3%29%3D%5B%5Cfrac%7B2%5Ccsdot%20%28-5%29%5E%7B-1%7D%5Ccdot%20%283%29%5E%7B5%7D%7D%7B3%5Ccdot%20%28-5%29%5E%7B0%7D%5Ccdot%20%283%29%5E%7B4%7D%7D%5D%5E%7B2%7D)
![=\{\frac{2}{3}\times [(-5)^{-1-0}\times (3)^{5-4}}]\}^{2}\\\\=\{\frac{2}{3}\times \frac{-1}{5}\times 3\}^{2}\\\\=\{-\frac{2}{5}\}^{2}\\\\=\frac{4}{25}](https://tex.z-dn.net/?f=%3D%5C%7B%5Cfrac%7B2%7D%7B3%7D%5Ctimes%20%5B%28-5%29%5E%7B-1-0%7D%5Ctimes%20%283%29%5E%7B5-4%7D%7D%5D%5C%7D%5E%7B2%7D%5C%5C%5C%5C%3D%5C%7B%5Cfrac%7B2%7D%7B3%7D%5Ctimes%20%5Cfrac%7B-1%7D%7B5%7D%5Ctimes%203%5C%7D%5E%7B2%7D%5C%5C%5C%5C%3D%5C%7B-%5Cfrac%7B2%7D%7B5%7D%5C%7D%5E%7B2%7D%5C%5C%5C%5C%3D%5Cfrac%7B4%7D%7B25%7D)
Thus, the correct option is option (3) 4 ÷ 25.
