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bonufazy [111]
3 years ago
15

(17 points) Determine if line AB is tangent to the circle

Mathematics
1 answer:
zlopas [31]3 years ago
3 0

1. If AB is tangent to the circle, then

18^2=(2\cdot7.2)^2+10.8^2

We have

18^2=324

(2\cdot7.2)^2+10.8^2=324

so AB is indeed tangent to the circle.

2. The unlabeled leg is another radius of the circle so it has length 8. Then if AB is tangent to the circle,

(10+8)^2=8^2+15^2

but we have

(10+8)^2=324

8^2+15^2=289

so that cannot be a right triangle and AB is not tangent to the circle.

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zalisa [80]
Multiply each scale factor by the first set of given perimeter and area
As shown in the picture below

6 0
2 years ago
56 = ?×?×?×? i want to know what number ecual yo 56 by multiplying it 4 times to get your answer
erma4kov [3.2K]

Answer:

4 * 14 = 56

Step-by-step explanation:

56/2 = 28

28/2 = 14

14/2 = 7

7/7 = 1

56 = 2 * 2 * 2 * 7

56 = (2 * 2) * (2 * 7)

56 = 4 * 14

7 0
3 years ago
In May you used 900 ​kilowatt-hours of energy for electricity.
Sloan [31]

Answer:

a) "The total electrical energy use was 3,240,000,000 joules."

b) "The average power use is 1210 watts."

c)

<u>Part 1:</u> "To generate the electricity you​ used, 810 L is needed."

<u>Part 2:</u> "To generate the electricity you​ used, 214.00 gal is needed."

Step-by-step explanation:

a)

1 kilowatt-hours = 3.6x10^6 joules

Converting 900 kilowatt-hours to joules, we have:

900*(3.6*10^6)=3.24*10^9 joules, or

Total Electrical Energy use = 3,240,000,000 joules

"The total electrical energy use was 3,240,000,000 joules."

b)

The month of May has 31 days and 1 day  is 24 hours. So May has:

31*24=744 hours

Now, we divide 900 kW-hr by the number of hours in the month (744 hrs) to get average power use:

\frac{900}{744}=1.21 kW. Since 1000 Watts = 1 kW, we multiply this by 1000 to get the answer in Watts:

1.21 * 1000 = 1210 Watts

"The average power use is 1210 watts."

c)

<u>Part 1:</u>

The conversion efficiency of most generating stations is 33%. So we need to multiply the total electrical energy use (in joules) by a factor of 3 to get the amount of joules required. So:

(3.24 * 10^9)*3 = 9.72 * 10^9 joules

We divide this by 12 million joules to get the number of liters:

\frac{9.72*10^9}{12*10^6}=810

So, 810 liters is needed

"To generate the electricity you​ used, 810 L is needed."

<u>Part 2:</u>

We know that 0.2642 gallons is equal to 1 liters. To get the number of gallons needed, we multiply 810 by 0.2642. So:

810 * 0.2642 = 214.00 gallons

"To generate the electricity you​ used, 214.00 gal is needed."

7 0
3 years ago
The measures of the exterior angles of an octagon are x°, 2x", 3x°, 4x °, 6x°, 7xº,
Neporo4naja [7]

Answer:

216

Step-by-step explanation:

Total of octagon amount is 1080, so set it equal.

x + 2x + 3x + 4x + 6x + 7x + 8x + 9x = 1080

45x = 1080

/45     /45

x = 24

Then plug in for largest number.

9 (24) = 216

8 0
3 years ago
Which is the graph of g(x) = ⌈x + 3⌉?
Andreas93 [3]

Answer:

Option D

Step-by-step explanation:

The graph of g(x) = ⌈x + 3⌉ is the graph of the parent function h(x) = ⌈x⌉ that has been shifted to the left 3 units.

The correct choice is D

7 0
3 years ago
Read 2 more answers
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