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2 years ago

A point in rectangular coordinates is given. Convert the point to polar coordinates. Round your answers to two decimal places.

Mathematics

1 answer:

postnew [5]2 years ago

3 0

Answer:

(√74, 54.46°)

Step-by-step explanation:

The rectangular coordinate point is given as; (5, 7)

Now, converting rectangular coordinates to polar coordinates is done by;

(r, θ)

Where, r is the magnitude while θ is the angle

r = √(5² + 7²)

r = √74

tan θ = (7/5)

θ = tan^(-1) 1.4

θ = 54.46°

Thus,polar coordinate is; (√74, 54.46°)

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A softball pitcher has a 0.675 probability of throwing a strike for each pitch and a 0.325 probability of throwing a ball. If th

Dafna11 [192]

Answer:

The probability that exactly 19 of them are strikes is 0.1504

Step-by-step explanation:

The binomial probability parameters given are;

The probability that the pitcher throwing a strike, p = 0.675

The probability that the pitcher throwing a ball. q = 0.325

The binomial probability is given as follows;

$p(x) = _{n}C_{x}\cdot p^{x}\cdot q^{1-x}$

Where:

x = Required probability

Therefore, the probability that the pitcher throws 19 strikes out of 29 pitches is found as follows;

The probability that exactly 19 of them are strikes is given as follows;

$\binom{29}{19}(0.675)^{19}0.325^{10} = \frac{29!}{19!\times 10!}\times (0.675)^{19}\times 0.325^{10} = 0.1504$

Hence the probability that exactly 19 of them are strikes = 0.1504

8 0

3 years ago

The length of a rectangular prism is 8

Lena [83]

Surface area is:

$W=width$
$L=length$
$H=height$

$S=2*(L*W+L*H+W*H)$

replacing the values

$250=2*(8*W+8*1+W*1)$

$250=2*(8*W+8+W)$

$250=2*(9*W+8)$

dived each member by 2

$125=9W+8$

$9W=125-8$

$9W=117$

$\boxed{\boxed{W=13~unit~of~measure}}$

The volume of a rectangular prism is

$V=L*H*W$

$V=8*1*13$

$\boxed{\boxed{V=104~unit~of~volume}}$

3 0

3 years ago

3(2x+8)=8x+46 answer

MrMuchimi

3(2x+8)=8x+46
6x+24=8x+46
-2x+24=46
-2x=22
x=-11

3(2(-11)+8)=8(-11)+46
3(-22+8)=-88+46
3(-14)=-42
-42=-42

Hope I didn't mess up for your sake

4 0

3 years ago

Dr. Blumen invested $5,000 part of it was invested in bonds at a rate of 6% in the rest was invested in a money market at the ra

abruzzese [7]

So... let's say the amounts invested were "a" at 6% and "b" at 7.5%.

ok.. hmm what's 6% of a? well, (6/100) * a or 0.06a.
what's 7.5% of b? well, (7.5/100) * b or 0.075b.

now... we know, whatever "a" and "b" are, they total the investment of 5000 bucks, thus a + b = 5000

and the interest yielded was 337.50, thus 0.06a + 0.075b = 337.50

thus $\bf \begin{cases}
a+b=5000\implies \boxed{b}=5000-a\\
0.06a+0.075b=337.50\\
----------\\
0.06a+0.075\left( \boxed{5000-a} \right)=337.50
\end{cases}$

solve for "a", to see how much was invested at 6%.

what about "b"? well, b = 5000 - a.

6 0

3 years ago

Read 2 more answers

35 shares of stock at $45.75 per share. He received dividends of $82.45 during the year. At the end of the year, his stock was v

Anna35 [415]

I don’t know how to answer this question

5 0

2 years ago