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Cloud [144]
3 years ago
8

In circle O below AB is a diameter and m

Mathematics
1 answer:
Brilliant_brown [7]3 years ago
3 0
The measure of arc AC is 40°
Step-by-step explanation:
In any circle the measure of an inscribed angle is one-half the measure of its subtended arc
In circle O
∵ ∠BAC is an inscribed angle subtended by arc BC
∴ m∠BAC = m arc BC
∵ m∠BAC = 70°
- Substitute it in the the expression above
∴ 70 = m arc BC
- Multiply both sides by 2
∴ 140 = m arc BC
∴ The measure of arc BC is 140°
∵ AB is a diameter
- The diameter divides the circle into two equal arcs
∴ m of arc ACB = measure of the circle
- The measure of the circle is 360°
∴ m of arc ACB = (360°)
∴ m of arc ACB = 180°
∵ m arc BC + m arc AC = m arc ACB
∴ 140° + m arc AC = 180°
- Subtract 140 from both sides
∴ m arc AC = 40°
The measure of arc AC is 40°
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An online health and medicine company claims that about 50% of Internet users would go to an online sight first for
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The claim that less than 50% of internet users get their health questions answered online is correct, given that according to the survey, 45.98% of people do.

Step-by-step explanation:

Since an online health and medicine company claims that about 50% of Internet users would go to an online sight first for information regarding health and medicine, and a random sample of 1318 Internet users was asked where they will go for information the next time they need information about health or medicine; 606 said that they would use the Internet, to test the claim that less than 50% of Internet users get their health questions answered online, the following calculation must be performed:

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The population of a town after t years is represented by the function f(t)=7,248(0.983)tf(t)=7,248(0.983)t.
lidiya [134]

Answer:

The population of the town is 0.983 times the population of the town in the previous year.

B is correct.

Step-by-step explanation:

We are given a function which represent population of a town after t years.

f(t)=7248(0.983)^t

It is an exponential function. Exponential function wither decease or increase it depends on factor.

y=a\cdot b^x

b is factor which decides factor of exponential function decrease or increase.

  • If b >1 then function increase
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If we see our problem f(t)=7248(0.983)^t

Here, b=0.983<1

Function would be decrease by factor of 0.983

Thus, The population of the town is 0.983 times the population of the town in the previous year.

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