Ben's age in x yeears=30+x
daniel's age in x years is 2+x
when will ben's age in x years be 3 times of daniel's age in x years
30+x=3(2+x)
30+x=6+3x
minus x both sides
30=6+2x
minus 6 both sides
24=2x
divide by 2 both sides
12=x
answer is in 12 years
Answer:
x = -1/2 ( 3±sqrt(37))
Step-by-step explanation:
x^2 + 3x − 7 = 0
Add 7 to each side
x^2 + 3x =7
Using complete the square
Taking the coefficient of x
3
Divide by 2
3/2
Square it
(3/2)^2 = 9/4
Add this to each side
x^2 + 3x+ 9/4 = 7+9/4
( x+ 3/2) ^2 = 28/4 + 9/4
( x+ 3/2) ^2 = 37/4
Take the square root of each side
x+3/2 = ±sqrt(37/4)
x+3/2 = ±sqrt(37) / sqrt(4)
x+ 3/2 = ±sqrt(37) / 2
Subtract 3/2 from each side
x = -3/2 ±sqrt(37) / 2
x = -1/2 ( 3±sqrt(37))
Answer:
P = 8.6 m
Step-by-step explanation:
Given that,
The length of a rectangle = 2.5 m
The width of a rectangle = 1.8 m
We need to find the perimeter of the rug. The perimeter of a rectangle is given by :
P=2(l+b)
= 2(2.5+1.8)
= 8.6 m
So, the perimeter of the rug is 8.6 m.
Answer:
Step-by-step explanation:
y = kx
400 = kr . . . . . . (1)
also, r = 4k . . . .(2)
400 = k(4k) = 4k^2
k^2 = 400/4 = 100
k = sqrt(100) = 10
Answer:
75°
Step-by-step explanation:
we can form a triangle to help us understand how to solve this problem:
puppy
∠ Leslie = 35° ∠ Surekha = 70°
If Leslie's angle is 35° and Surekha's angle is 70°, that gives us a total of 105°. Since the sum of the triangle's three angles is 180°, then the angle at which they will meet is 180° - 105° = 75°
