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neonofarm [45]
2 years ago
7

In the adjoining figure O is the centre of the circle the tangent to the circle of radius 6 cm from the exterior point P of the

length 8 cm calculate the distance of the point P from the centre o
​
Mathematics
1 answer:
slamgirl [31]2 years ago
7 0

Answer:

Let P be the external point. O be the origin. join O and P get OP and nearest point on the circle from P be A.

Let Q be the point onthe circle  in which, tangent make 90° with radius at Q.

PQ = 8 and OQ = 6

we get a right angled triangle  PQO right angled at Q.

so, OP^2 = OQ^2 + PQ^2= 8^2 + 6^2 = 64 + 36 =1==

therefore OP =10cm

we need nearest point from P, which is PA

PA = OP - OA= 10 -6=4cm

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Katena32 [7]

Given that the two pentagons are similar figures, the area of the pool = 675 sq. m..

<h3>What is the Area of Similar Figures?</h3>

If two figures are similar to each other, then, the ratio of the square of their corresponding sides equals the ratio of their areas.

We are given that the pool and the park are similar to each other. The diagram given is missing, however, here's how to find the area of the pool:

If x is a side of the pool and y is the corresponding side length of the park, therefore:

area of pool/area of park = x²/y².

Plug in the values given, cross multiply and find the area of the pool.

For example, if 3 is a side of the pool = x

6 is corresponding side of the park = y

Area of park = 2,700 sq. m

Thus:

Area of pool/2,700 = 3²/6²

Area of pool/2,700 = 9/36

Area of pool = (9 × 2,700)/36

Area of pool = 675 sq. m.

Learn more about the areas of similar figure on:

brainly.com/question/11899908

6 0
2 years ago
Rick rents a car from a company that charges him $25 per day plus 10 cents per mile driven. Which expression can represent the a
Lemur [1.5K]
C=25x+.10
C is the total cost. To get the total cost you add the consistent fee of $25 per day, times the number of days. You add $.10 for every mile driven.
4 0
2 years ago
What is the slope of the line with the points of (100,120) (50,95)
kifflom [539]
M= 95-120 / 50-100 = -25 / -50 = 1/2 

I used the formula m= y2 - y1 / x2 - x1 
7 0
3 years ago
Find C. Round to the nearest tenth.
o-na [289]

Answer:

it is 60

Step-by-step explanation:

you add all the numbers than you round it, the number is 0 so it stays the same, hope it helps, murdle

7 0
3 years ago
Use the distributive property to solve 4 × 7.1​
sladkih [1.3K]

Answer:

28.4

Step-by-step explanation:

To use the distributive property, split the 7.1 to 7 and .1

4*7 would be 28 and 4*.1 would be .4

Adding them together would make the answer 28.4

3 0
3 years ago
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