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fgiga [73]
3 years ago
7

John is 5 years older than Sam and the product of their ages is 300. How old is Sam ?

Mathematics
2 answers:
Shtirlitz [24]3 years ago
8 0

Answer:

the answer to your problem would be sam is 15 and John is 20

Vlada [557]3 years ago
3 0

Answer:

15 years old

Step-by-step explanation:

15 x 20 = 300

John = S + 5

Sam = 15

John = 20

Sam = 15

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What is the area of a sector with a central angle of 255 and a radius of 18.4 m?
Igoryamba

Answer:

The answer is 753.01 m².

Step-by-step explanation:

Given that the formula of sector is θ/360×π×r² where r represents radius of circle. Then, you have to substitute the values into the formula :

area =  \frac{θ}{360}  \times \pi \times  {r}^{2}

Let θ = 255°

Let π = 3.14,

Let r = 18.4m,

area =  \frac{255}{360}  \times 3.14 \times  {18.4}^{2}

area = 753.01 {m}^{2}  \: (near.hundredth)

5 0
3 years ago
What are the values of m and 0 in the diagram below?
Lelu [443]

Answer:The correct answer is m= and θ = 30º.

Step-by-step explanation:First, we must form a triangle whose hypotenuse is the radius r=1, its adjacent leg is m, its opposite leg is  and the angle is theta.

First, we calculate the angle with theta's breast:

sin (θ) =  

where H is the hypotenuse, in this case, the radio.

θ =  ()

θ = 30º

Now, we calculate the adjacent leg, which is equal to the x-coordinate of the point:

cos (θ) =  

m = cos 30º * H

m =  

m =  

Have a nice day!

7 0
3 years ago
Given that f(x) = x2 + 2x + 3 and g(x) = quantity of x plus four, over three , solve for f(g(x)) when x = 2.
Sidana [21]
f(x)=x^2+2x+3
g(x)=\frac{x+4}{3}
f(g(x))=(\frac{x+4}{3})^2+2(\frac{x+4}{3})+3
f(g(x))=\frac{x^2+8x+16}{9}+\frac{2x+8}{3}+3
f(g(2))=\frac{2^2+8(2)+16}{9}+\frac{2(2)+8}{3}+3
f(g(2))+\frac{4+16+16}{9}+\frac{4+8}{3}+3
f(g(2))=\frac{36}{9}+\frac{12}{3}+3
f(g(2))=4+4+3
f(g(2)=11

Check:
g(2)=(2+4)/3=2
f(2)=2^2+2(2)+3=4+4+3=11  Checks. 
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