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nata0808 [166]
3 years ago
7

If PQ is tangent to circle R at point Q and PS is

Mathematics
1 answer:
Murljashka [212]3 years ago
3 0

Answer:

Perimeter of the quadrilateral PQRS is 25 units

Step-by-step explanation:

From the figure attached,

PQ is a tangent to the given circle so m∠PQR = 90°

Now we apply Pythagoras theorem in the ΔPQR,

PR² = PQ² + QR²

(PT + TR)²= PQ² + 5²

(4 + 5)² = PQ² + 25

81 = PQ² + 25

PQ = √(81 - 25)

     = √56

     ≈ 7.5 units

PQ ≅ PS ≅ 7.5 units

[Since measures of tangents drawn from a point to a circle are always equal]

Perimeter of PQRS = PQ + QR + RS + PS

                                = 7.5 + 5 + 5 + 7.5

                                = 25 units

Therefore, perimeter of the quadrilateral PQRS is 25 units.

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There are 20 students in my class. Each student needs: .2 cups, 2 plates, 1 party hat and a pair of earphones. My teacher has 2
garik1379 [7]

Answer:

Simple, no. This would not be enough.

Step-by-step explanation:

This is because you mentioned that there are 20 students and each of them needed 2 plates. So, there would need to be at least 40 plates. Forks seem irrelevant in this question but if the teacher has 8 plates in 1 box and another 8 in the second box, that would sum up to 16 plates that are available. And the fact that the box doesn't even include the other items, should hint the lack of items available for the students.

This question seemed worded differently. But tried my best. :)

8 0
3 years ago
the perimeter of a rectangular garden is 84 feet. write and solve the system of equations that can be used to find the dimension
scoray [572]

Answer:

The length is 22.5 and the width is 19.5

Step-by-step explanation:

          2L + 2W = P

                     \/

          2L + 2W = 84

                     \/

W + 3 + W + 3 + W + W= 84

                     \/

          4W + 6 = 84

                     \/

                4W = 78

                     \/

     W = 19.5      L = 19.5 + 3 = 22.5

I hope this helps, have a nice day! :D

6 0
3 years ago
Which of the following inequalities is equivalent to 3-(w+2)>4+2w
Kay [80]

3 - w - 2 > 4 + 2w  \\  - w - 2w > 4 + 2 - 3 \\  - 3w > 6 - 3 \\   \frac{ - 3w}{ - 3}  >  \frac{3}{ - 3} \\ w <  - 1
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3 years ago
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PLEASE HELPPPPPPPPPP
Sauron [17]

Answer:

167/346 or 0.483

Step-by-step explanation:

From the question given above, the following data were obtained:

Number of Tails (T) = 167

Number of Heads (H) = 179

Probability of tail, P(T) =?

Next, we shall determine total outcome. This can be obtained as follow:

Number of Tails (T) = 167

Number of Heads (H) = 179

Total outcome (S) =?

S = T + H

S = 167 + 179

Total outcome (S) = 346

Finally, we shall determine the probability of tails. This can be obtained as follow:

Number of Tails (T) = 167

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Probability of tail, P(T) =?

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P(T) = 0.483

Thus, the probability of tails is 167/346 or 0.483

3 0
3 years ago
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