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2 years ago

PQ is tangent to the circle at C. In the circle, In the circle, Arc mBC=89. Find mBCP.

Mathematics

1 answer:

murzikaleks [220]2 years ago

5 0

We have to use the following theorem

An Angle formed by a chord and a tangent that intersect on a circle is half the measure of the intercepted arc .

And it is given that arc m BC = 89 degree.

$\angle BCP = \frac{1}{2}( m BC)$

$\angle BCP = \frac{1}{2}( 89)=44.5$

Correct option is A.

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What are the first and last terms of this geometric series

11Alexandr11 [23.1K]

ANSWER

E. 10 and 640

EXPLANATION

The given series is

$\sum_{i=1}^45 \times 2^{2i-1}$

To find the first term of the series we substitute i=1 to get,

$a_1 = 5 \times {2}^{2 \times 1 - 1}$

$a_1 = 5 \times {2}^{ 1} = 10$

For the last term of the series, we substitute i=4 to obtain,

$a_4 = 5 \times {2}^{2 \times 4 - 1}$

$a_4 = 5 \times {2}^{7}$

This implies that,

$a_4 = 5 \times 128 = 640$

Therefore the correct answer is E

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2 years ago

Evaluate each logarithm. Do not use a calculator. ln ^3 square root e^4

Alona [7]

Answer:

$\large\boxed{\ln\sqrt[3]{e^4}=\dfrac{4}{3}}$

Step-by-step explanation:

$\text{Use}\\\\\sqrt[n]{a^m}=a^\frac{m}{n}\\\\\ln a^n=n\ln a\\\\\ln e=1\\-----------\\\\\ln\sqrt[3]{e^4}=\ln e^\frac{4}{3}=\dfrac{4}{3}\ln e=\dfrac{4}{3}\cdot1=\dfrac{4}{3}$

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2 years ago

if I have a binomial distribution where n equals 8 trials and a probability of success equals 0.40 what is the successes of X is

dlinn [17]

P(success) = 0.4 P(failure) = 0.6

8C2 (0.4)² * (0.6)^6

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5 0

2 years ago

Carson drives to school the same way each day and there are two independent traffic lights on his trip to school. He knows that

Lorico [155]

Answer:The correct answer is A, 14%.

Step-by-step explanation:

All you have to do is take the 30% chance of you HAVING to stop at the first light and find the chance that you won't have to stop at the first light, which is 70%, or .7. Then you take the chance of having to stop at the second light which is 80%, and find the probability of NOT having to stop there, which is 20%, or .2. Then you multiply the probabilities of not having to stop, which equals to .14.

8 0

3 years ago

Read 2 more answers

What is the area of this figure?

Vladimir79 [104]

Answer:

<em>97 square miles</em>

Step-by-step explanation:

Let us divide this figure into rectangles, each of set dimensions;

$Dimensions of Rectangle A - Height ; 2 mi, Length ; 9 mi\\Area of Rectangle A - Height * Length = 2 mi * 9 mi = 18 square miles,\\\\Dimensions of Rectangle B - Height ; 2 mi + 5 mi = 7 mi, Length ; 5 mi\\Area of Rectangle B - Height * Length = 7 mi * 5 mi = 35 square miles,\\\\Dimensions of Rectangle C - Height ; 4 mi + 5 mi + 2 mi = 11 mi, Length ; 4 mi,\\Area of Rectangle C - Height * Length = 11 mi * 4 mi = 44 square miles,\\\\Area of Figure = 18 + 35 + 44 = 97 square miles$

<em>Solution; 97 square miles</em>

4 0

2 years ago