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Vika [28.1K]
3 years ago
8

The table below shows the amount of money needed to buy certain amounts of fabric.

Mathematics
1 answer:
Karo-lina-s [1.5K]3 years ago
8 0

Answer:

Do you have the a picture of the table

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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
The cost of a car battery costs $35 wholesale for the automotive store to buy, but they need to markup the cost 40% for the reta
lara31 [8.8K]

Answer:

The markup amount is $14 and the retail price is $49.

Step-by-step explanation:

You can use the following formula to find the retail price with the information provided:

Retail price=Cost*(100%+markup %)

Cost=35

Markup %=  40%

Now, you can replace the values in the formula:

Retail price=35*(140%)

Retail price=49

Now, you can subtract the cost from the retail price to find the markup amount:

49-35=14

According to this, the answer is that the markup amount is $14 and the retail price is $49.

8 0
3 years ago
The algebraic form of a sequence is 4n+1. write the sequence​
diamong [38]

Answer:

5, 9, 13, 17, 21, .....

Step-by-step explanation:

To generate the sequence, substitute n = 1, 2, 3, 4, ..... into the rule

a₁ = 4(1) + 1 = 4 + 1 = 5

a₂ = 4(2) + 1 = 8 + 1 = 9

a₃ = 4(3) + 1 = 12 + 1 = 13

a₄ = 4(4) + 1 = 16 + 1 = 17

a₅ = 4(5) + 1 = 20 + 1 = 21

7 0
3 years ago
Using only addition, how do you add eight 8’s and get the number 1000?
prisoha [69]

Answer:   888+88+8+8+8 = 1,000

Step-by-step explanation: First of all line all your eights' up and then split them

6 0
3 years ago
Find the measure of angle b (image below)
IRINA_888 [86]
Angle b will be 34 degrees because angle b and the other angle that is 34 degrees are vertical angles!
5 0
3 years ago
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