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svetlana [45]
3 years ago
8

A, B and C are points on a circle with a diameter AB

Mathematics
1 answer:
Tamiku [17]3 years ago
3 0

Answer:

36.575

Step-by-step explanation:

you need to find line ab you can do A^{2} +B^{2} =C^{2}  for the triangle and get the line you also need to get the squar root of it as it is still squared then devide by 2 to get the rades then times that by pi and there you go you have the area also sorry for spelling I love math not English

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The circumscribing circle O and the inscribed circle of triangle ABC have the same center. Which of the following constructions
suter [353]

Answer:

Construct perpendicular lines & construct angle bisectors

Step-by-step explanation:

I saw someone ask the same question and they had that anwser^

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3 years ago
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A ladder 10 m long,leans against a vertical wall at an angle of 70° to the ground.if the ladder slips down the wall 4m,find,corr
lina2011 [118]

Answer:

(a) the new angle the ladder makes with the ground is 32.7^o

(b) the ladder slipped back about 5 meters

Step-by-step explanation:

Notice that the ladder doesn't change its length in the process.

So let's start from the initial situation , finding the distance from the ground at which the ladder touches the wall when the angle with the ground is 70^o. Notice that this situation is represented by a right angle triangle with the right angle between the wall and the ground (see attached image), and that we can use the sine function to find the side opposite to the 70 degree angle:

sin(70^o)=\frac{opposite}{hypotenuse} \\sin(70^o)=\frac{h}{10}\\h=10\, sin(70^o) \approx 9.4 \,\,m

therefore 9.4 meters is approximately the height at which the ladder touches the wall initially.

Now, if the tip of the ladder goes down the wall 4 meters, it is now at 9.4 m - 4 m = 5.4 m from the ground. We can therefore use again the sine function to solve for the new angle:

sin(x)=\frac{opposite}{hypotenuse} \\sin(x)=\frac{5.4}{10} \\sin(x)=0.54\\x=arcsin(0.54)\\x= 32.7^o

To answer the second question we need to find the original distance from the wall that the bottom of the ladder was originally, and for that we can use the cosine function:

cos(70^o)=\frac{adjacent}{hypotenuse} \\cos(70^o)=\frac{x}{10}\\x=10\,cos(70^o)\\x\approx 3.4  \,\,m

Now fro the new position of the bottom of the ladder relative to the wall:

cos(32.7^o)=\frac{adjacent}{10} \\adjacent=10\,cos(32.7^o)\\adjacent\approx 8.4\,\,m

then the difference in between those two distances is what we need:

8.4 m - 3.4 m = 5 m

4 0
3 years ago
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Lelechka [254]
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The price of a DVD movie was reduced from $20 to $18. By what percentage was the price of the DVD movie reduced? *
Alla [95]

Answer:

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Step-by-step explanation:

First calculate how much percentage is in one dollar, which is 5% per dollar, then times that by how much money is deducted which is $2, and you will get your answer 10%.

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