V=π * r^2 * h/3 = π * 2^2 * 8/3 ≈ 33.51032 or about 34 units^2
Step-by-step explanation:
ΔACX is an isosceles triangle, so ∠AXC = ∠XAC. We'll call the measure of this angle x°.
∠AXC and ∠BXC are supplementary, so ∠AXC + ∠BXC = 180. That means ∠BXC = 180 − x.
ΔBXC is an isosceles triangle, so ∠XBC = ∠XCB. We'll call the measure of this angle y°.
Angles of a triangle add up to 180, so:
y + y + (180 − x) = 180
2y = x
y = x/2
∠ACX and ∠XCB are complementary, so ∠ACX + ∠XCB = 90.
x + y = 90
x + x/2 = 90
3/2 x = 90
x = 60
Therefore, ∠AXC = ∠XAC = 60°.
Answer:
3/4
Step-by-step explanation:
Here, we want to calculate the probability that a student selected is a senior student or one that drives to school.
From the table, the number of senior students is 25 + 5 + 5 = 35
So the probability of selecting a senior student is 35/100 = 7/20
Now the probability of selecting a student that drives to school.
The number of students that drive to school is 2 + 13 + 25 = 40
So the probability of a student who drives to school is 40/100
Kindly recall that when we have or and we are dealing with probability, we add the concerned terms together
Thus the probability of randomly selecting a student who is a senior or drives to school = Probability of being a senior + Probability of driving to school = 35/100 + 40/100 = 75/100 = 3/4
Answer:
100π square inches
Step-by-step explanation:
The area of a circle is given by ...
A = πr^2
where r is the radius. The radius of a circle is half the diameter, so your circle with 20 inch diameter has a radius of 10 inches. Putting that value into the formula gives an area of ...
A = π·(10 in)^2 = 100π in^2
The area is 100π square inches.
The given formula is f(t) = 0.4t
They want to solve for f(10), replace t in the formula with 10"
f(10) = 0.4(10)
Multiply:
f(10) = 4 centimeters.