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andriy [413]
3 years ago
14

Evaluate 8^4 1. 4096 2. 5426 3. 32

Mathematics
2 answers:
Hitman42 [59]3 years ago
7 0
Answer:
8*8*8*8=4096

Explanation:
When you see an exponent it just means the number times itself that many times
Svetach [21]3 years ago
5 0

The correct answer is 4096.

Let me know if you need help

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A regular octagon is inscribed in a circle with a radius of 10 cm. What is the length of one side of the octagon?
Semenov [28]

Answer:

The length of one side of the octagon is 7.65 cm

Step-by-step explanation:

The parameters given are;

A regular octagon inscribed in a circle of radius, r, of 10 cm.

The length of each side is found from the isosceles triangle formed by the radius and one side of the octagon

The sum of interior angles in a polygon, ∑θ_i = 180 × (n - 2)

Where;

n = The number of sides of the polygon

θ_i = The interior angle of the polygon

For the octagon, we have;

n = 8, therefore;

∑θ_i = 180 × (8 - 2) = 1080

Given that there are eight equal angles in a regular octagon, we have;

∑θ_i = 8 × θ_i = 1080

θ_i = 1080/8 = 135°

The sum of angles at the center of the circle = 360

Therefore, the angle at the center (tip angle) of the isosceles triangle formed by the radius and one side of the octagon = 360/8 = 45°

The base angles of the isosceles triangle is therefore, (180 - 45)/2 = 67.5° = θ_i/2

The length of the base of the isosceles triangle formed by the radius and one side of the octagon = The length of one side of the octagon

From trigonometric ratios, the length of the base of the isosceles triangle is therefore;

2 × r × cos(θ_i/2) = 2×10 × cos(67.5°) = 7.65 cm

The length of the base of the isosceles triangle = 7.65 cm = The length of one side of the octagon.

7 0
3 years ago
Read 2 more answers
Which of the following functions is graphed above?
denis-greek [22]

Answer:

i'm pretty sure it is c

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
1. Find the area of the region bounded above by y = e^x, bounded below by y = x, and bounded on the sides
salantis [7]

The area of the region bounded above by y= eˣ bounded by y = x, and bounded on the sides; x =0; and x = 1 is given as e¹ - 1.5.

<h3>What is the significance of "Area under the curve"?</h3>

This is the condition in which one process increases a quantity at a certain rate and another process decreases the same quantity at the same rate, and the "area" (actually the integral of the difference between those two rates integrated over a given period of time) is the accumulated effect of those two processes.

<h3>What is the justification for the above answer?</h3>

Area = \int\limits^1_0 {(e^x-x)} \, dx

= \int\limits^1_0 {e^x-x} \, dx - \int\limits^1_0 {(x)} \, dx

= e¹-(1/2-0); or

Area = e -1.5 Squared Unit

The related Graph is attached accordingly.

Learn more about area bounded by curve:
brainly.com/question/27866606
#SPJ1

3 0
2 years ago
What is cd? please answer
stealth61 [152]

Answer:

18 units

Step-by-step explanation:

The centroid is located 1/3 the distance from the midpoint of a side to the opposite vertex. That means ...

CG = 2·DG = 6 + DG

Then

DG = 6 . . . . . . subtract DG from the above equation

Of course, ...

CD = CG +DG = 2·6 +6

CD = 18

7 0
3 years ago
Please answer quickly
const2013 [10]

Answer:

72 cubic ft

Step-by-step explanation:

To find volume you multiply length × width × height

Length is 4, width is 6 and height is 3

4×6×3= 72

5 0
3 years ago
Read 2 more answers
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