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12345 [234]
3 years ago
11

Angle ABC is inscribed in circle O. Points A, B, and C all lie on the circle, and B is the vertex of angle ABC. Angle ABC measur

es 47°. What is the measure of angle AOC? Explain your reasoning in complete sentences.
Mathematics
1 answer:
viktelen [127]3 years ago
7 0

Answer:

94 degrees

Step-by-step explanation:

Basically the question is asking to find the angle of the arc AC created by the inscribed angle ABC.

The angle of the arc of an inscribed angle is twice the value of the angle creating it.

Because the distance from the opposite side of the circle is twice longer  than coming from the center to create the same arc.

So, an inscribed angle of 47 degrees will create a 94 degrees arc on the circle circumference.

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What is the area of a regular nonagon with 10 cm sides and an apothem if 6cm?
bearhunter [10]

Answer:

The area of the nonagon is 270cm²

Step-by-step explanation:

The area of a regular polygon is given by

=  \frac{1}{2} ap

where 'a' is the apothem and 'p' is the perimeter.

The apothem is a=6cm.

The perimeter is p=9×10=90cm.

We substitute the apothem and the perimeter to get:

=  \frac{1}{2}  \times 6 \times 90 {cm}^{2}

= 270 {cm}^{2}

8 0
3 years ago
A dolphin swims 665,280 feet in 3 hours. Use the formula dart, where d represents distance, r represents rate, and t represents
barxatty [35]

Step-by-step explanation:

a) r=d/t ( same as formula of speed)

b) r= 665280/3=221760 feet/hr

c) distance in miles = 665280/5280= 126

so r=126/3 = 42 miles/hr

d) i think using miles makes more sense cz using feet will result in greater number of values so there is a greater chance of human error

5 0
3 years ago
Read 2 more answers
7) David bought a computer that was 20% off the regular price of $1080. If an 8% sales tax was added to the cost of the computer
Aneli [31]
Hello there! I can help you!

7. Okay. So the computer was originally $1,080, and the discount is 20%, but David would still have to pay 80% of the original price. To find the sale price, let's multiply. 1,080 * 80% (0.8) is 864. The sale price of the compuet is $864, but now we must add the sales tax to find the total price. We will multiply by 108%, because 100% (representing the price + 8% is 108%, and doing this will get us stright to the total price. 864 * 108% (1.08) is 933.12. There. David paid a total price of $933.12 for the computer.

8. Okay. So we are looking for the amount of discount for the sweater Suzanne bought. First off, let's subtract the prices to find the difference. 40 - 25 is 15. Now, let's divide that by 40 (the original price) to find the discount. 15/40 is 0.375. Or 37.5% when converted into a percentage. There. Suzanne received a 37.5% discount on the sweater when she bought it.

9. So the car was bought for x dollars. 0.88 represents 88%, so the value of the car is 88% of the previous year. An expression that is a way to describe the change in car value is x * (100 - 0.12)^t, because you car loses 12% of the remaining value each year, which leaves 88% of it remaining, and having the t as the exponent represents the number of years. That expression helps find the value of the car currently and can help you compare the values.
6 0
2 years ago
Please help and provide as much detail as possible! Thank you!!
solniwko [45]
34 + (2x2days) + (-1x2) So far it would equal 36$ stock then last day is -3 so 33$ is the stock.

3 0
3 years ago
it is equally probable that the pointer on a spinner will land on any one of the eight regions. if the spinner lands on a boarde
Tamiku [17]

Answer:

1/3

Step-by-step explanation:

3 0
2 years ago
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