Answer:
The number of boys are 64.
Step-by-step explanation:
We have,
The ratio of the boy to girl is 8:9.
Total number of girls are 72.
Let total boys are 8x and total girls are 9x.
According to the question,
Since, number of boys are 8x. So,
So, the number of boys are 64.
The value will be minimum, the coefficient of x is positive, so it will curve up causing a minimum vertex
The area of the circle is found using the formula Area = PI x r^2
The area of a triangle is found using the formula Area = 1/2 x base x height.
Using the given dimensions:
Area of the circle = 3.14 x 3.8^2 = 45.3416 square units.
The area of the triangle is 1/2 x 5 x 10 = 25 square units.
To find the area of the unshaded part, subtract the area of the shaded triangle from the circle:
Area = 45.3416 - 25 = 20.3416
Round to two decimal places = 20.34
The answer is D. 20.34
Answer:
64°; no
Step-by-step explanation:
Since XW bisects angle X, we have ...
angle YXZ = 2(angle WXY)
(4x +6) = 2(3x -5)
4x +6 = 6x -10 . . . eliminate parentheses
16 = 2x . . . . . . . . add 10-4x
8 = x
Then angle XZY = 8x° = 8·8° = 64°. The angle WXZ is (3x-5)° = (3·8-5)° = 19°, an angle that is not complementary to 64°. XW cannot form a right angle with YZ, so it is not an altitude.
Angle XZY is 64°, and XW is not an altitude.
