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docker41 [41]
3 years ago
11

Select three sets of numbers that can be the side lengths of a right triangle

Mathematics
1 answer:
777dan777 [17]3 years ago
8 0

Answer:

4th choice, 20, 21, 29 would be the answer.

Step-by-step explanation:

Pythagorean Theorem: a^2 + b^2 = c^2

a= 20, b= 21, c= 29 ( c has to be the C, hypotenuse, because it is the longest)

therefore,

20^2 + 21^2 = 29^2

              into

400 + 441 = 841,

which is true, makes the Pythagorean Theorem work.

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Simplify the expression The root of negative nine over the quantity of three minus two i plus the quantity of one plus five i.
jeka94
This will be:
[√9]/[(3-2i)+(1+5i)]
simplifying  the above we get:
√9/(3+1-2i+5i)
=√9/(4+3i)
rationalizing the denominator we get:
√9/(4-3i)×(4-3i)/(4-3i)
=[√9(4-3i)]/(16+9)
=[3(4-3i)]/25
=(12-9i)/25

Answer: (12-9i)/25
8 0
3 years ago
Read 2 more answers
Please help me answer this question​
sattari [20]

Answer:

a, 14.13. b, 39.25

Step-by-step explanation:

so for a the diameter is 6 so the radius is 3. The equation for the area of the circle is πr2. So 3x3=9. then 9x3.14=28.26. But then we have to divide by two cause we are finding only the shaded area. 28.26/2=14.13.

A is 14.13

for b, its the same thing, so the radiu is 5 and 5x5=25. 25x3.14=78.5, and divide two, so 78.5/2=39.25.

B is 39.25

WARNING: I am not sure this is correct, so if this is wrong i'm sorry, i'm learning too :)

4 0
3 years ago
A 12-inch candle is lit and steadily burns until it is burned out. As the burned length of the candle increases from 4 to 7.5 in
MatroZZZ [7]

Answer:

The remaining length of the candle varies from 8 inches to 4.5 inches.

The required expression is: r=12-b

Where, b represents the burned length and r represents the remaining length.

Step-by-step explanation:

Consider the provided information.  

A 12-inch candle is lit and steadily burns until it is burned out.

The length of the candle is 12 in.

The burned length of the candle is 4 in.

That means the remaining length is 12 - 4 = 8 in

The burned length of the candle is 7.5 in.

That means the remaining length is 12 - 7.5 = 4.5 in

Hence, the remaining length of the candle varies from 8 inches to 4.5 inches.

Suppose b represents the burned length of the candle in inches (or the number of inches that have burned from the candle since it was lit) and r represents the the remaining length of the candle (in inches).

The required expression is: r=12-b

8 0
3 years ago
A ball is dropped from a height of 10m above the ground. it bounce to 90% of its previous height on each bounce. what is the app
Reika [66]

Answer:

10·0.9^4 = 6.561 m height

6 0
3 years ago
Read 2 more answers
If the sales tax is 8.5%, what is the cost of a pair of shoes with a price of $80?
vesna_86 [32]
Multiply 80 by the decimal version of the percentage, .085, to get the tax of $6.8. Then add 6.8 to 80 and get the final price of the shoes $86.80
4 0
3 years ago
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