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tensa zangetsu [6.8K]
3 years ago
14

In the diagram below PQR are point on the circle with centre o and diameter 14cm <PRQ=35° Find the length of the minor arc PQ

and the chord PQ take[π=3.142]​
Mathematics
1 answer:
Gekata [30.6K]3 years ago
5 0

Answer:

Step-by-step explanation:

I'll draw a quick sketch. It's hard to "see" this kinda of problem w/o a drawing , so start there.   just draw as much as you can from what the problem tells you.

diameter = 14 cm

radius = 7 cm

pi = 3.142

PRQ = 35 °

to find Y use law of sines

sin(70) / Y = sin(55) / 7

sin(70) / sin(55) / 7 = Y  ( I'll use my calculator for all the non standard angles )

sin(70) * 7 / sin(55) = Y   ( and invert and multiply the fraction in the denom )

8.03007 = Y

x = 70 °

if you have questions, and  you should, just put them in the comments , I'll see them later :)

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Answer:

3

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Parvinis older than Jan, who is
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Using the arrangements formula, it is found that there are 24 ways for them to stand in line so that the youngest person is always first, and the oldest person is always last.

<h3>What is the arrangements formula?</h3>

The number of possible arrangements of n elements is given by the factorial of n, that is:

A_n = n!

In this problem, we have that there are 6 people. The youngest person(Leslie) has to be first, while the oldest(Parvinis) has to be last, while the remaining 4 can be arranged, hence the number of ways for them to stand in line is given by:

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More can be learned about the arrangements formula at brainly.com/question/24648661

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8 0
2 years ago
Christopher swam laps everyday in the town swimming pool. He swam 45 minutes each day, 5 days each week, for 12 weeks.
Dahasolnce [82]
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3 years ago
How many unique triangles can be formed with two side lengths of 10 centimeters and one 40° angle?
r-ruslan [8.4K]

Answer:

  • Two unique triangles possible

Step-by-step explanation:

Given two sides of 10 cm and one 40° angle

<u>If we use these, we'll get isosceles triangle with:</u>

1. Included 40° angle.

<u>Then the other angles will be same and measure:</u>

  • (180° - 40°)/2 = 70°

2. Adjacent 40° angle. Then one of the angles must be 40° angle as opposite of 10 cm sides.

<u>The remaining angle will measure:</u>

  • 180° - 2*40° = 100°

There no more unique triangles possible, so the answer is two.

3 0
3 years ago
The revenue for a company producing widgets is given by y = -20x2 - 50x + 200, where x is the price in dollars for each widget.
lisov135 [29]

Answer:

The  price is   x =  $2.779

Step-by-step explanation:

From the question we are told that

  The  revenue is  y = - 20x^2  - 50 x + 200

   The cost of production is  y = 30 x - 10

Generally at break even point the cost of production is equal to the  revenue

So

      -20x^2 -50x + 200 =  30x-10

=>   20x^2 +20 -210 = 0

Using the quadratic formula to solve this equation we have that

       x =  $2.779

     

6 0
3 years ago
Read 2 more answers
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