Answer:
10 years.
Step-by-step explanation:
Present age of Mr. Tanaka = 35 years
Present age of his son = 5 years
Now let the number of years be x. As after x years both of their age will increased by x years, therefore
After x years age of Mr. Tanaka = 35 + x
After x years age of his son = 5 + x
According to question,
Mr.Tanaka's age after x years = 3 (His son's age after x years)
35 + x = 3 (5 + x)
Further solving,
35 + x = 15 + 3x
3x - x = 35 - 15
2x = 20
x = 10
Therefore after 10 years Mr. Tanaka's age will be exactly three times as old as his son. As after 10 years Mr. tanaka's age will be 45 and his son's age will be 15.
Answer:
y = √-1040/7
Step-by-step explanation:
The equation of a unit circle is expressed as;
x²+y² = 1
Given the coordinate of P = (-33/7, y)
Substitute the coordinate into the give expression and find y;
(-33/7)²+y² = 1
Expand
y² = 1-(-33/7)²
According to difference of two square
y² = (1+(-33/7))1-(-33/7))
y² = (1-33/7)(1+33/7)
y² = -26/7(40/7)
y² = -1040/49
y= √-1040/49
y = √-1040/√49
y = √-1040/7
Hence the value of y is y = √-1040/7
Answer:
Step-by-step explanation:
area of sector=πr²/4=π ×6²/4=9 π ft²
area of one triangle= 1/2×6×6=18 ft²
area of three triangles=3×18=54 ft²
area of sector +area of three triangles=54+9 π ft²
area of circle=π×6²=36 π ft²
area of shaded region=36 π-9π-54=27 π-54=27(π-2) ft²
Answer:
the answer is
Step-by-step explanation:
x=1/2y+5---i
4x+3y=-20 ----ii
putting value of x in eqn Ii
4×(1/2×y+5)+3y=-20
2y+5+3y=-20
5y+5=-20
5y=-20-5
5y=-25
y=-25/5
y=-5
putting value in eqn I
x=1/2×-5+5
x=-5/2+5
x=5/2
