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Jet001 [13]
3 years ago
13

Of the employees who work at Stalling Printing, 90% attended the safety procedures meeting. If 63 employees attended the meeting

, how many employees work at Stalling Printing?
Mathematics
1 answer:
LUCKY_DIMON [66]3 years ago
4 0
There are 70 employees who work at Stalling Printing.

Take note that the 63 employees who attended the meeting represents 90% of the total number of employees working at Stalling Printing. To get the total number of employees or the 100% number of employees, divide 63 by its percentage, 90%.

63/90% or 63 / 0.90 = 70 total number of employees.

Out of 70 employees; 63 employees attended the meeting and 7 employees did not.

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In circle D, angle ADC measures (7x + 2)°. Arc AC
Akimi4 [234]

Answer:

The measure of angle ABC is 36° ⇒ 1st answer

Step-by-step explanation:

Let us revise some important facts in the circle

The measure of the center angle is equal to the measure of its subtended arc

The measure of the inscribed angle is equal to half the measure of the central angle subtended by the same arc

The vertex of a central angle is the center of the circle and its sides are radii in the circle

The vertex of an inscribed angle is a point on the circle, and its sides are chords in the circle

In circle D

∵ D is the center of the circle

∵ A and C lie on the circle

- DA and DC are radii

∴ ∠ADC is a central angle subtended by arc AC

∴ m∠ADC = m of arc AC

∵ m∠ADC = (7x + 2)°

∵ m of arc AC = (8x - 8)°

- Equate them to find x

∴ 8x - 8 = 7x + 2

- subtract 7x from both sides

∴ x - 8 = 2

- Add 8 to both sides

∴ x = 10

Substitute the value of x in the measure of ∠ADC

∵ m∠ADC = 7(10) + 2 = 70 + 2

∴ m∠ADC = 72°

∵ AB and BC are two chords in circle D

∴ ∠ABC is an inscribed angle subtended by arc AC

∵ ∠ADC is a central angle subtended by arc AC

- By using the 2nd fact above

∴ m∠ABC =  m∠ADC

∴ m∠ABC =  × 72

∴ m∠ABC = 36°

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2 years ago
Two ways to simplify 2(5ft + 3ft)
strojnjashka [21]
Either you can use distributive property or you can add up the numbers in the brackets. 
Hopefully that helped! :) 
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3 years ago
A triangle has sides with lengths of 9 kilometers, 12 kilometers, and 15 kilometers. Is it a right triangle?
rusak2 [61]

it is a right triangle i am positive

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3 years ago
Given the piecewise function above evaluate the following statements. (write "DNE" if the limit does not exist)
Sveta_85 [38]

By analyzing the graph of the function, we will see that:

  • a) DNE
  • b) 3
  • c) -1
  • d) 3
  • e) DNE
  • f) 2

<h3>How to get the limits of the given function?</h3>

Remember that when we take a limit to a given value, we approach to that value by two directions (from above and below) and see at which value the function approaches.

So, for the first limit we have:

x ⇒ -2

As you can see, if we approach from below the function tends to 4, while if we approach from above, the function tends to -1, which means that this limit does not exist. DNE.

x ⇒ 0

The function is continuous here, so the limit is equal to the value of the function in that point, which is 3

x ⇒ 2

If we approach from above and below we get the same number, which is -1, so the limit is equal to -1.

x = 2

Now we are directly evaluating the function in x = 2, and we can see that there is a jump such that f(2) = 3

x ⇒ 4

Here we have two asymptotes, one goes to infinity and the other to negative infinity, so this limit does not exist.

x ⇒ ∞

So we can't see how the function behaves for large values of x, so there is no way to answer this exactly.

If we suppose that the function does not change, we can see that we have a rational function in the right side of the image, so we can expect that as x tends to infinity, the function will tend asymptotically to 2.

Why 2?

Because the denominator becomes zero when x = 4, then when x = 5 the denominator is equal to 1.

At that point, the function is equal to 3, so the function is something like:

y = 1/(x - 4) + 2

If you want to learn more about limits, you can read:

brainly.com/question/5313449

5 0
2 years ago
Is the discriminant positive negative or zero?
vitfil [10]

Answer:

Sorry the picture is blocked on my chromebook but i hope this helps

Step-by-step explanation:

A positive discriminant indicates that the quadratic has two distinct real number solutions. A discriminant of zero indicates that the quadratic has a repeated real number solution. A negative discriminant indicates that neither of the solutions are real numbers.

6 0
3 years ago
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