Can anyone answer this for me and explain? I’ll give a thanks.

Mathematics

1 answer:

Alekssandra [29.7K]3 years ago

4 0

Answer:

86°

Step-by-step explanation:

If you draw a line segment AC, it forms the rest of right triangle ACB with the right angle at C. Then angle BAC is the complement of the given angle:

∠BAC = 90° -47° = 43°

The inscribed angle BAC intercepts arc BC, so the arc measure will be double the angle measure.

arc BC = 2·43° = 86°

Another way to get there is to realize that arc BCA is 180°, because AB is a diameter. As above, arc AC will be double the measure of inscribed angle ABC, so arc AC has measure 94°.

arc BC = arc ACB - arc AC

arc BC = 180° -94°

arc BC = 86°

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Answer:

180

Step-by-step explanation:

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3 years ago

Noah walked 3 kilometers from his house to school. from school, he walked 800 meters in all to and from the park. Then he walked

Artyom0805 [142]

3km = 3000m

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Answer: He walked a total of 6800m.
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3 years ago

Let P(t) be a population at time t. A simple population model supposes the rate of growth of the population is proportional to t

jeka94

Answer:

$(a) \dfrac{dP}{dt} =k P(t)\\(b)P(t)=Ce^{kt}$

(ii) $P(1000)\approx 26.88 \times 10^{44}\\$

Step-by-step explanation:

(a)The rate of growth of the population is proportional to the population, this is written as:

$\dfrac{dP}{dt} \propto P(t)\\$Introducing our proportionality constant, k\\ \dfrac{dP}{dt} =k P(t)$

(b)

$\dfrac{dP(t)}{P(t)} =k dt\\$Take the integral of both sides\\\int \dfrac{dP(t)}{P(t)} =\int k dt\\\ln P(t)=kt+C, $C a constant of integration\\Take the exponential of both sides\\e^{\ln P(t)}=e^{kt+C}\\P(t)=e^{kt}\cdot e^C $, (Since e^C$ is a constant, we then have:)\\P(t)=Ce^{kt}$