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: option d.
Step-by-step explanation:
We have the function:
y = f(x) = x^2 - 1
The output is 99 when y = 99, and the input is x.
Then we need to solve:
y = 99 = x^2 - 1
for x.
99 = x^2 - 1
99 + 1 =x^2
100 = x^2
√100 = x
10 = x
The correct option is d, input equals 10.
Ratio of boys to girls= 17:3
number of people= 740
to find the number of boys out of 740 people, you have to add the ratio together and divide 740 by it. then multiply the answer by 17 because the ratio for boys is 17.
17+3=20
740÷20=37
37×17=629
answer= 629
hope this helps....