Answer:
x ≈ 36.9°
Step-by-step explanation:
Using the sine ratio in the right triangle, that is
sinx =
=
, then
x =
(
) ≈ 36.9° ( to 1 dec. place )
Let the side of the square = a units, the area of the square = a^2 sq units
Area of the 4 semicircles = area of 2 circles = 2 pi r^2 = 2pi (1/2 a)^2
= pi a^2 / 2
Probability of a point in the unshaded square being picked) = area square / area of the total figure = a^2 / (a^2 * pi/2) = 1 / pi/2 = 2 /pi
which is approximately 65%
Answer:
Step-by-step explanation:
It seems J is the intersection of diagonals.
We know diagonals of the parallelogram bisect each other.
<u>It gives us:</u>
<u>Substitute and solve for x:</u>
- 6x + 3 = 10x - 5
- 10x - 6x = 3 + 5
- 4x = 8
- x = 2
<u>Find the value of EJ:</u>
<u>Find the value of EG:</u>
Correct choice is D
Answer:
25,
8:5
4:3
Step-by-step explanation:
you have to model it as a system of equations.
first, we know there are a total of 65 children, boys and girls. so

we also know there are 15 more boys than girls so

now, we can plug the second equation into the first to get

so

if g = 25, b must = 40, because it is g+15.
the ratio will be 40 boys to 25 girls. 40:25 or 8:5 if you simplify.
if there are 5 more girls, g = 25+5 = 30, so the ratio is 40:30 or 4:3.