Answer:
The answer to your question is: letter B
Step-by-step explanation:
Data
diameter = 6 ft
area = ?
Formula
A = πr²
radius = diameter / 2
= 6 / 2
= 3 ft
Substitution
A = π(3)²
= 28.27 ft²
We have been given an image of a circle. We are asked to find the value of each variable.
We can see that angle b corresponds to diameter of circle. We know that the measure of an angle that is inscribed to the diameter of a circle is 90 degrees . Therefore, the value of b will be 90.
we can see that angle is an inscribed angle of arc 99 degrees. We know that measure of an inscribed angle is half the measure of inscribed arc.


Therefore, the value of a is 49.5 units.
We know that measure of all angles of a triangle is 180 degrees. The measure of 3rd angle will be half the measure of c, so we can set an equation as:







Therefore, the value of c is 81.
Answer:
A
Step-by-step explanation:
Given
5(x - 7) = 55, then using the distributive property, that is
a(b - c) = ab - ac, then
5x - 35 = 55
Answer:
Red = 30 drops
Blue = 20 drops
Step-by-step explanation:
The ratio red to blue is 3 : 2
Sum of ratios = 3 + 2 = 5
Required purple paint = 50 gallons
So,

Now, Red drops = 3×10 = 30
Blue drops = 2×10 = 20
Answer:
33 feet.
Step-by-step explanation:
If the ratio of the student to their shadow and flagpole to its shadow are equal, then you can use the proportion
5.5/3 = x/18 and cross multiply to find x.
5.5 × 18 = 99
3 × x = 3x
3x/3 = x, 99/3 = 33.
x = 33.