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
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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
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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
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And the surface area is the base area + lateral area -
- Surface Area
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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
b
a and d should not be considered bc it is not logically correct. c is eliminated because that may not always be the case. therefore it should be b.
Answer:
Similar
Step-by-step explanation:
We can say that the triangles are similar by looking at the angle measurements
Angle B = 35
Angle F = 55
Both angles A and D = 90 because these are right triangles
We can say the measure of angle E = 35 because the sum of angles in a triangle equal to 180
Same rule applies to angle C
Answer:

Step-by-step explanation:
we know that
Using proportion

Answer:
c. 2b - 3
Step-by-step explanation:
Simplify the following:
-2 b + 4 + 4 b - 7
Grouping like terms, -2 b + 4 + 4 b - 7 = (4 b - 2 b) + (4 - 7):
(4 b - 2 b) + (4 - 7)
4 b - 2 b = 2 b:
2 b + (4 - 7)
4 - 7 = -3:
Answer: 2 b + -3