You want to make five-letter codes that use the letters A, F, E, R, and M without repeating any letter. What is the probability
1 answer:
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Answer:
BA = 25π,
LA = 25√2π,
TA = 25π + 25√2π,
V = 41 and 2 / 3π
Step-by-step explanation:
We need to determine the height here, as it is not given, and is quite important to us. The height is a perpendicular line segment to the radius, hence forming a 45 - 45 - 90 degree triangle as you can see. Therefore, by " Converse to Base Angles Theorem " the height should be equal in length to the radius,
( Height = 5 inches = Radius
______
Now knowing the height, let's begin by calculating the base area. By it's name, we have to find the area of the base. As it is a circle, let us apply the formula " πr^2 "
- Base Area = 25π
______
The lateral area is simply the surface area excluding the base area, the surface area having a formula of " πr^2 + πrl. " Thus, the lateral area can be calculated through the formula " πrl, " but as we are not given the slant height ( l ) we have to use another formula, -
- Lateral Area = 25√2π
______
And the surface area is the base area + lateral area -
- Surface Area
______
The volume of a cone is 1 / 3rd that of a cylinder, with a simple formula of Base * height. Therefore, we can conclude the following -
- Volume = 41 and 2 / 3π
Answer:
180
Step-by-step explanation:
total ratio is 15
gallons of red =
gallons of yellow
gallons of blue
total =144+30+6
=180
Answer:
m∠C=30°
Step-by-step explanation:
we know that
<u>Vertical Angles</u> are the angles opposite each other when two lines cross. They are always equal
so
m∠C=m∠D
substitute the given values
Solve for x
<em>Find the measure of angle C</em>
m∠C=(x+5)°
substitute the value of x
m∠C=(25+5)=30°