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4 years ago

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A point is located in a polar coordinate system by the coordinates r = 4.4 m and θ = 12°. find the x- and y-coordinates of this

point, assuming that the two coordinate systems have the same origin.

1 answer:

nalin [4]4 years ago

3 0

55x5 is the correct answer man

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I have been stuck on this forever can you please help

Aneli [31]

6 acts as the base. 15 acts as the height, because it extends from the base to meet vertex opposite the base at a 90° angle.

General formula for triangle area
a = 1/2 × b × h

plug in the numbers
a = 1/2 × 6 × 15
a = 90/2
a = 45

The area of the triangle is 45 units²

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4 years ago

Is this right??????????

suter [353]

Answer:

yes

Step-by-step explanation:

yes Yes Sorry Hard to explain so I cant

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3 years ago

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The table shows the average bill totals for given numbers of diners at Simone’s restaurant. If the rate is constant and you grap

matrenka [14]

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3 years ago

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Will ran the diagonal distance across a square field measuring 40 yards on each side. James Ran the diagonal distance across A r

ozzi

Answer:

<u>Will</u> ran the longer distance.

He run <u>56.40 yards</u> longer distance.

Step-by-step explanation:

<u><em>The question is incorrect so the correct question is below.</em></u>

Will ran the diagonal distance across a square field measuring 40 yards on each side. James ran the distance across a rectangular field with a length of 25 yards and a width of 35 yards. Who ran a longer distance,and how much longer did he run?

Now, to find the person who ran longer distance and the distance he run.

Will ran the diagonal distance across a square field.

The length of square field = 40 yards.

So, we put formula to get the diagonal of square:

$Diagonal=length\sqrt{2}$

$Diagonal=40\times \sqrt{2}$

$Diagonal=40\times 1.41$

$Diagonal=56.40\ yards.$

Thus, Will ran 56.40 yards diagonal distance of the square field.

Now, James ran the distance across a rectangular field with a length of 25 yards and a width of 35 yards.

So, to get the diagonal of rectangular field we use pythagorean theorem:

$Diagonal^2=length^2+width^2$

$Diagonal^2=25^2+35^2$

$Diagonal^2=625+1225$

$Diagonal^2=1850$

<em>Using square root on both sides we get:</em>

$Diagonal=43.01\ yards.$

Hence, James ran the diagonal distance 43.01 yards across the rectangular field.

<em>Now, we see the diagonal distance of both Will and James.</em>

<em>As, Will ran 56.40 yards and James ran 43.01 yards.</em>

<em>So, Will ran longer distance than James. And he run 56.40 yards</em>.

Therefore, Will ran the longer distance.

He run 56.40 yards longer distance.

4 0

4 years ago

Suppose you decided to keep flipping a coin until tails came up, at which

MAVERICK [17]

Answer:

B. 6.3%

Step-by-step explanation:

For each time that the coin is tosse, there are only two possible outcomes. Either it comes up tails, or it does not. The probability of coming up tails on a toss is independent of any other toss. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

Fair coin:

Equally as likely to come up heads or tails, so $p = 0.5$

Probability that the first tails comes up on the 4th flip of the coin?

0 tails during the first three, which is P(X = 0) when n = 3.

Tails in the fourth, with probability 0.5. So

$p = 0.5P(X = 0)$

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$p = 0.5P(X = 0) = 0.5*(C_{3,0}.(0.5)^{0}.(0.5)^{3}) = 0.0625$

0.0625 * 100 = 6.25%

Rounding to the nearest tenth of a percent, the correct answer is:

B. 6.3%

4 0

3 years ago