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
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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:
12.6
Step-by-step explanation:
Given the function, F(x)=20/4+3e−0.2x
Where e is an exponential function,
To get f(3), we need to substitute x = 3 into the given function
F(3) = 20/4 + 3e - 0.2(3)
f(3) = 5 + 3e - 0.6
f(3) = 4.4+3e
Substituting the value of e = 2.718
f(3) = 4.4+3(2.718)
f(3) = 12.554
f(3) = 12.6 to the nearest tenth.
<h3><u>S</u><u> </u><u>O</u><u> </u><u>L</u><u> </u><u>U</u><u> </u><u>T</u><u> </u><u>I</u><u> </u><u>O</u><u> </u><u>N</u><u> </u><u>:</u></h3>
According to the question,
- Diameter of circle = 16 in
We are asked to calculate it’s circumference in terms of π.
★ Circumference of circle = 2πr
___________________________________
Let us first calculate the radius of the circle.
→ Diameter = 2 × Radius
→ 16 in = 2r
→ r = 16 in ÷ 2
→ r = 8 in
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Substituting values in the formula of circumference,
→ C = 2πr
→ C = (2 × π × 8) in
→ C = 16π in
<u>Therefore</u><u>,</u><u> </u><u>1</u><u>6</u><u>π</u><u> </u><u>inches</u><u> </u><u>is</u><u> </u><u>the</u><u> </u><u>required</u><u> </u><u>answer</u><u>.</u>
Answer:
Step 4 is incorrect he did not divide correctly from step3 to step 4
Step-by-step explanation:
The circumference of a circle is
C = 2 * pi *r
We know the circumference is 12 pi
12pi = 2 pi *r
Divide each side by 2 pi
12 pi/2pi = 2pi r/ 2pi
6 = r
From step 3 The student did not cancel the pi in the top and the bottom on the right hand side to isolate r
In step 4 he got 6 =pi r instead of pi
Answer:
hmm, i think is -2.2 if am correct.
Step-by-step explanation: