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Fed [463]
2 years ago
7

PQR is a right angled triangle. The area of the triangle is 6cm² and |QR|= 3cm.find |PR|​

Mathematics
2 answers:
lora16 [44]2 years ago
8 0

Step-by-step explanation:

It is used by first the formula.and complete by another simple and eazy

kodGreya [7K]2 years ago
5 0

Answer:

PQ = 4cm

QR = 3cm

PR = 5cm

Area = 6cm²

Step-by-step explanation:

Area of triangle = 0.5 × Base × Height

6 = 0.5 × 3 × PQ

  • Let PQ be = x

6 = 0.5 × 3 × x

\frac{6}{0.5 \times 3}  = x

x = 4cm

PQ = 4cm

Since, it is a right angled triangle applying Pythagoras Theorem,

PR =

\sqrt{ {3}^{2} + {4}^{2}  } \\  =  \sqrt{9 + 6} \\  = 5cm

PR = 5cm

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riadik2000 [5.3K]

Answer:

404 cm³ Anyway... Look down here for my explanation.

Step-by-step explanation:

Let's Draw a line from the center of the circle to one of the ends of the chord (water surface) and another to the point at greatest depth on your paper. A right-angled triangle is formed too. The Length of side to the water-surface is 5 cm, the hospot is 7 cm.

We Calculate the angle θ in the corner of the right-angled triangle by: cos θ = 5/7 ⇒ θ = cos ˉ¹ (5/7)

44.4°, so the angle subtended at the center of the circle by the water surface is roughly 88.8°

The area shaded will then be the area of the sector minus the area of the triangle above the water in your diagram.

Shaded area 88.8/360*area of circle - ½*7*788.8°

= 88.8/360*π*7² - 24.5*sin 88.8°

13.5 cm²

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6 0
1 year ago
Mark the statements that are true.
qaws [65]

Answer:

Hi there!

The correct choices are: A, B, C

Step-by-step explanation:

π in radians equals to 180°

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C is correct because 180/4 = 45

7 0
3 years ago
One month, ruby worked 8 hours more than isaac, and svetlana worked 4 times as many hours as ruby. together they worked 136 hour
Travka [436]

Let Issac work for x hours, and Ruby works 8 hours more than of Issac, so Ruby work for (x+8) hours.

And Svetlana worked four times of Ruby, therefore Svetlana worked for

4(x+8) hours

And total hours they worked together is 136. That is

x+x+8 + 4(x+8) = 136
\\
x+x+8 +4x+32=136
\\
6x+40 =136
\\
6x=96
\\
x =16 hours

So Issac worked for 16 hours, Ruby worked for 24 hours and Svetlana worked for 24 times 4 equals 96 hours .


6 0
3 years ago
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