Step-by-step explanation:
Answer:
x=9, y=10. (9, 10). The two numbers are 9 and 10.
Step-by-step explanation:
3x+5y=77
x+y=19
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3x+5y=77
-3(x+y)=-3(19)
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3x+5y=77
-3x-3y=-57
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2y=20
y=20/2
y=10
x+10=19
x=19-10
x=9
Writing and solving an equation of ratios is the way to go here. See if you can figure out why the following is correct:
x+3 x
----- = -------
12 x+3
Then (x+3)^2 = 12x, and x^2 + 6x + 9 = 12x, so that x^2 - 6x + 9 = 0
This is the square of (x - 3). Thus, x-3 = 0, and x = 3.
The value of x is 3.
Question 1:
Circumference = 3.14 x diameter
C = 3.14 x 17
C = 53.38 m
Question 2:
Circumference = 3.14 x diameter (or 2 x radius)
C = 3.14 x 6
C = 18.84 ft
Question 3:
The radius of a circle is equal to half its diameter.
10 / 2 = 5 cm
Question 4:
We want to find the perimeter of the shape as a whole. We will need a half circumference for the circular part, and 3 sides of the rectangle.
C = 1/2(3.14 x 6) = 9.42
6 + 4 + 4 = 14
Perimeter = 9.42 + 14 = 23.43 ft
Hope this helps! :)