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stiv31 [10]
3 years ago
12

Simplify 4(4a+5b-3)

Mathematics
1 answer:
stiks02 [169]3 years ago
4 0
You times 4 by everything inside the parentheses, so the answer would be as follows. 16a + 20b - 12
You might be interested in
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
Solve this problem n-6/-4=6
babunello [35]

Answer:

N= 9/2

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Can Someone tell me how to find a rate of change and an initial value
kow [346]

Depends on which rate of change you're talking about. The rate of change is another term for a slope of a function. There's two(2) different version of rate of change.

First version one is the instantaneous rate of change. aka derivative. This one is found simply by taking the derivative of a function.

Second version is the average rate of change, which is found using the slope formula, (y₂ - y₁)/(x₂ - x₁)

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Initial value problem should give you an initial point (x, y) to plug into your function. You plug those x,y value in to find your answer.

There's variation of initial value problems so I can't give you any specific details on how to do it unless you can post the question.

8 0
2 years ago
PLEASE HELP ASAP!!! I NEED CORRECT ANSWERS ONLY PLEASE!!!
Debora [2.8K]

Yo sup??

you can solve this quesion by having the knowledge of trigonometric ratios

let angle B be x, then

tanx=7/3

x=66.8

Hope this helps

4 0
3 years ago
75 percent decrease followed by a 50 percent increase
Strike441 [17]

Answer:

There would be an overall 25% decrease

Step-by-step explanation:

Because -75 + 50 = -25

3 0
2 years ago
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