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What is the value of the x-coordinate of point A?(a) sin(pi/5)
(b) cos (pi/5)
(c) sin (6pi/5)
(d) cos (6pi/5)
(e) sin (9pi/5)

Answers

Answer 1

Answer:

The x - coordinate of the Point A is -

$$(√(5) +1)/(4)$

We have a Point A(x, y) on the graph.

We have to find out the x-coordinate of Point A(x, y).

Explain the resolution of Position vector of any point on the Cartesian coordinate.

For any position vector (say OA), having magnitude of 'M' Units, making an angle $$\theta$ with the x - axis, can be resolved along the x and y axes as -

OA = (M cos $$\theta$ ) $a_(x)$ + (M sin $$\theta$ ) $a_(y)$

According to the question, we have -

$$\theta =(\pi )/(5)$

We have to find the x - component of the position vector OA.

The circle has a radius of 1 units. Therefore, |OA| = 1

Assume that the x - coordinate of Point A is x.

Now -

x = |OA| cos ( $$(\pi )/(5)$ )

x = 1 x $(√(5) +1)/(4)$

x = $(√(5) +1)/(4)$

Hence, the x - coordinate of the PointA is -

$$(√(5) +1)/(4)$

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Answer 2

Answer:

Step-by-step explanation:

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NEED ASAPWhat is the product?
а-3
11
5
15а а-3
о
о
Cul —
за
о за
O3

Answers

The product of the given expressions is (1/3a). therefore, option (1/3a) is correct.

To find the product of the two expressions:

(а - 3) / (15a) * (5 / (a - 3))

First, notice that (a - 3) appears in both the numerator and the denominator, and these terms will cancel out, leaving:

(5 / 15a)

Now, you can simplify this fraction:

5 / 15a = (1/3a)

So, the product of the given expressions is:

(а - 3) / (15a) * (5 / (a - 3)) = (1/3a)

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Answer:

1/3a

Step-by-step explanation:

$((a - 3))/(15a) * (5)/((a - 3)) = (5)/(15a) = (1)/(3a)$

A beluga whale is 5 yards and 3 inches long, and a gray whale is 15 yards and 5 inches long. What is the difference in length between the two whales?

Answers

Answer:

Difference in length between two whales is 362 inches or 10 yards and 2 inches.

Step-by-step explanation:

Lets convert the values to inches:

1 yard = 36 inches

Length of a beluga whale in inches:

5 yards = $5*36$ inches = $180$ inches

Therefore total length of a beluga whale = 180 inches + 3 inches

=183 inches

Length of a gray whale in inches:

15 yards = $15*36$ inches = $540$ inches

Therefore total length of a beluga whale = 540 inches + 5 inches

=545 inches

Difference in length between two whales = 545 inches - 183 inches

= 362 inches

To represent this in yards and inches we can divide the value by 36.

$(362)/(36) =10.06$ yards

=10 yards and 2 inches

Difference in length between two whales is 10 yards and 2 inches.

Is -0.00992 a rational or irrational number?

Answers

Answer:

Yes, it is a rational number.

Step-by-step explanation:

You're Welcome :)

Answer is rational numer

Sophia earned $240 at her brother's store. If she worked for 8 days and earned the same amount of money each day, how much did she earn per day?

Answers

Answer:

$30

Step-by-step explanation:

$240 divided by 8

She earns $30 each day

8x=240

Where 8 is the amount of days, 240 is the total pay, and x represents the pay per day.

8x=240
—- ——
8 8

In this step, you are dividing both sides by 8 to isolate the x

x=30

Therefore, she was paid $30 each day. You can check this by inserting back into your equation.

8(30)=240
240=240

Hope this helps!

Answers

COMPLETE QUESTION:

Chris went on a vacation for a week and asked his brother Paul to feed his old cat Charlie. But Paul is forgetful, and Chris is 70% sure Paul will forget to feed his cat. Without food, Charlie will die with probability 0.5. With food, he will die with probability 0.03. Chris came back from vacation and found Charlie alive. What is the probability that Paul forgot to feed Charlie (round off to third decimal place)?

Answer:

The probability that Paul forgot to feed charlie is 0.546

Step-by-step explanation:

Lets denote F the event 'Paul forgot to feed Charlie', and L the even 'Charlie is alive', we have

P(F) = 0.7

P(L|F) = 1-0.5 = 0.5

P(L|F^c) = 1-P(L^c|F^c) = 1-0.03 = 0.97

We want to calculate P(F|L). We will use Bayesformula at the start and the theoremoftotalprobability to calculate P(L).

Given that Charlie is alive, the probability that Paul forgot to feed charlie is 0.546.

Answer:

P = 0.546

Step-by-step explanation:

Hi,

This is a question of conditional probability, which means to find probability of a situation given that another event has already occured:

$P(A|B) = (P(B|A) P(A))/(P(B)) = (P(A \cap B))/(P(B))$

In this question, we need to find the probability of Charlie being alive if not fed, with the data given below:

$P(Paul\ forgets)= 0.70\nP(Paul\ feeds) = 0.30\nP( Charlie\ dies\ given\ that\ Paul\ forgets) = 0.50\nP( Charlie\ dies\ given\ that\ Paul\ feeds) = 0.03\n$