See the picture attached to better understand the problem
we know that
in the right triangle ABC
cos A=AC/AB
cos A=1/3
so
1/3=AC/AB----->AB=3*AC-----> square----> AB²=9*AC²----> equation 1
applying the Pythagoras Theorem
BC²+AC²=AB²-----> 2²+AC²=AB²---> 4+AC²=AB²----> equation 2
substitute equation 1 in equation 2
4+AC²=9*AC²----> 8*AC²=4----> AC²=1/2----> AC=√2/2
so
AB²=9*AC²----> AB²=9*(√2/2)²----> AB=(3√2)/2
the answer isthe hypotenuse is (3√2)/2
Answer:
24 x 24 x 36=1728 or
24+24+36=84
hope this helps :) plz brainliest if does
Step-by-step explanation:
Area of a parallelogram=base x heigth
Data:
base=(2x+3)
heigth=(ax+5)
area of this parallelogram=8x²+bx+15
Therefore:
8x²+bx+15=(2x+3)(ax+5)
8x²+bx+15=2ax²+10x+3ax+15
8x²+bx+15=2ax²+(10+3a)x+15
Then:
8x²=2ax²
a=(8x²)/(2x²)=4
bx=(10+3(4))x
bx=(10+12)x
b=22x/x=22
Answer: a=4 and b=22.
Answer:
60years
Step-by-step explanation:
let Ben age = x
ishaan age = y
Ben is 4 times old as ishaan:
x=4y ..........equation (1)
6 years ago
Ben age = x-6
Ishaan age = y-6
x-6=6(y-6)
x-6=6y-36
x=6y-36+6
x=6y-30..........equation (2)
equating equation(1) and (2)
4y=6y-30
4y-6y=-30
-2y=-30
y=-30/-2=15
substituting the value of y into equation (1)
x=4y
=4*15
=60
Ben age now =60years
C hope that helped have a great time I love it you can do