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skelet666 [1.2K]
2 years ago
9

Mr Lorenzo must make a minimum of 48 circuit boards per day. On Wednesday he made 60. What percent of required minimum did he ma

ke
Mathematics
1 answer:
Novay_Z [31]2 years ago
3 0

Answer:

He made 125% of the required minimum.

Step-by-step explanation:

Percentage:

The percentage that a number b is of a is given by:

P = \frac{100b}{a}

In this question:

Minimum of 48, made 60. The percentage 60 is of 48 is:

P = \frac{100(60)}{(48)} = 100(1.25) = 125

He made 125% of the required minimum.

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Gh bisects fgi. solve for fgi,fgh,hgi solve for x Simplify all answers ​
Lelechka [254]

Answer:

fgi = 48

fgh = 24

hgi = 24

Step-by-step explanation:

Bisection divides an angle into two equal angles,

So,

4x - 20 = 3x - 9

4x - 3x = - 9 + 20

x = 11

fgi = 3x - 9 + 4x - 20

= 3x + 4x - 20 - 9

= 7x - 29

= 7 ( 11 ) - 29

= 77 - 29

fgi = 48

fgh = 3x - 9

= 3 ( 11 ) - 9

= 33 - 9

fgh = 24

hgi = 4x - 20

= 4 ( 11 ) - 20

= 44 - 20

hgi = 24

5 0
3 years ago
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
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Abby did 121 sit ups in 8 minutes estimate the number of sit ups she did in 1 minute
const2013 [10]
You would divide 121 by 8.
121 / 8 =  15.125 So she did about 15 sit ups in a minute. Hope this helps!
 
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3 years ago
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Rama09 [41]

Answer:

36

Step-by-step explanation:

All you gotta do is 9x4 or 9+9+9+9=36

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3 years ago
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Which of the following options best describes the function graphed below? A graph shows a curve that starts at the origin and go
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It's an increasing nonlinear. Exponential functions are graphed in basically any shape besides a line. This is an exponential function, therefore it is classified as nonlinear. By looking at the slope, from left to right, we can see that it is increasing, thus providing an answer that this is an increasing nonlinear function.
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