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joja [24]
3 years ago
5

If it takes bottling machine to fill 150 bottles per minute, how many minutes will it take the machine to bottle 4500 bottles

Mathematics
1 answer:
RSB [31]3 years ago
8 0
It takes bottling machine to fill 4500 bottles in 30 minutes.
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Please help me!
marusya05 [52]

Answer:


Step-by-step explanation:

Nice summary problem.

<AEC

  • AEC = 360 - 243.5 = 116.5    
  • The number of degrees in 1 rotation of a circle = 360o. You have accounted for 243.5 degrees. What is left over is the answer.

<EAD and <ECD

Both of these are tangents to a circle. Tangents meet radii at 90 degree angles.

<EAD = <ECD = 90 degrees

<ABC

<ABC is 1/2 the central angle. The Central angle is <AEC

  • < AEC = 116.5
  • <ABC = 1/2 * 116.5
  • <ABC = 58.25

<ADC

There are 2 ways of doing this. You should know both of them.

<em><u>One</u></em>

All quadrilaterals = 360 degrees. You know three of the angles. You should be able to find ADC

  • <ADC + 90 + 90 + 116.5 = 360     Add the four angles together.
  • <ADC + 296.5 = 360                   Combine terms on the left
  • <ADC = 360 - 296.5                    Subtract 238.25 from both sides
  • <ADC = 63.5                                 Answer

<em><u>Method Two</u></em>

<ADC = 1/2 (major Arc - Minor Arc)  This formula is fundamental to circle / tangent properties. The Major arc is the larger of the two parts of the circumference of a circle. The Minor arc is the smaller.

  • <ADC = 1/2(243.5 - 116.5)
  • <ADC = 1/2(127)
  • <ADC = 63.5
8 0
3 years ago
An easy question all wrong or unhelpful or no-work answers will be reported.
miss Akunina [59]
Elimination:

7x - 3y = 20
5x + 3y = 16
(add)
12x = 36
÷ 12
x = 3

(5 × 3) + 3y = 16
15 + 3y = 16
- 15
3y = 1
÷ 3
y = 1/3

Substitution:

5x + 3y = 16
- 3y
5x = 16 - 3y
÷ 5
x = 3.2 - 0.6y

5(3.2 - 0.6y) + 3y = 16
16 - 3y + 3y = 16
16  = 16
- 16
6y = 0
÷ 6
y = 0

Sorry the substitution messed up for some reason, I'll fix it after I've answered the other question

6 0
3 years ago
You scored 85% on your math quiz. The quiz was out of 50 points. How many points did you get?
malfutka [58]

Answer:

43

Step-by-step explanation:

4 0
2 years ago
What is the equation of the line in point slope form given a slope of -3 and a point of (-2,-5)?​
Lelu [443]

Answer:

y = -3x - 11

Step-by-step explanation:

Use the given slope and point in the point-slope equation. Solving this will give us the y-intercept equation.

Point-slope formula: y - y = m(x - x)

Plug in the slope and point

y - (-5) = -3(x - (-2))

Subtracting negatives will make them positive. Multiply out the -3 to what is in the parentheses.

y + 5 = -3x - 6

Subtract the 5 from both sides

y = -3x - 11

The equation of the line is y = -3x - 11

7 0
2 years ago
Write 0.000000092 in scientific notation
Leya [2.2K]

9.2x10^-8

Move the decimal to the right 8 times. Since it is moved to the right, the exponent is negative.

3 0
3 years ago
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