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gogolik [260]
3 years ago
13

URGENT!!! Find the rectangular coordinates of the point with the polar coordinates.

Mathematics
1 answer:
abruzzese [7]3 years ago
7 0

we have that

(r, ∅)----------> (-7, 5 pi/3)

we know that

5 pi/3--------> 300°-----------> -60°

To convert polar cordinates in rectangular one with use the following formula:

x=r*cos ∅------> x=-7*cos -60°-------> x=-7*(1/2)------> x=-7/2

y=r*sin ∅-------> y=-7*sin -60------->  y=-7*(-√3)/2----> y=7√3/2

the answer is the option

D) ordered pair negative 7 divided by 2 comma 7 square root 3 divided by 2

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Mr. Nicolas is putting up strings of blue and white lights for the holidays. The ratio of blue to white lights is 5 to 6. If he
SVEN [57.7K]
Hello there.

Question: <span>Mr. Nicolas is putting up strings of blue and white lights for the holidays. The ratio of blue to white lights is 5 to 6. If he has 77 strings, how many strings are white lights?

Answer: 5:6
Add the numbers:
5 + 6 = 11
Divide this number by the total:
77/11 = 7
Multiply values by this number:
5 x 7 = 35
6 x 7 = 42
To check:
35 + 42 = 77.
Therefore your answer is 42.

</span>Hope This Helps You!
Good Luck Studying ^-^
8 0
3 years ago
Alex, Toby and Samuel are playing a game together.
Shalnov [3]

Answer:

1/9

Step-by-step explanation:

There are three places and three people.

Times them together for the total outcomes:

1/3 x 1/3= 1/9

8 0
3 years ago
What is 2/3 divided by 4/5?
m_a_m_a [10]

Answer:

5/6

Step-by-step explanation:

Dividing two fractions is the same as multiplying the first fraction by the reciprocal of the second fraction. The first step to dividing fractions is to find the reciprocal (reverse the numerator and denominator) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators.

8 0
3 years ago
Read 2 more answers
The base of a solid in the region bounded by the two parabolas y2 = 8x and x2 = 8y. Cross sections of the solid perpendicular to
Usimov [2.4K]

The two curves intersect at two points, (0, 0) and (8, 8):

x^2=8y\implies y=\dfrac{x^2}8

y^2=\dfrac{x^4}{64}=8x\implies\dfrac{x^4}{64}-8x=0\implies\dfrac{x(x-8)(x^2+8x+64)}{64}=0

\implies x=0,x=8\implies y=0,y=8

The area of a semicircle with diameter d is \dfrac{\pi d^2}8. The diameter of each cross-section is determined by the vertical distance between the two curves for any given value of x between 0 and 8. Over this interval, y^2=8x\implies y=\sqrt{8x} and \sqrt{8x}>\dfrac{x^2}8, so the volume of this solid is given by the integral

\displaystyle\frac\pi8\int_0^8\left(\sqrt{8x}-\dfrac{x^2}8\right)^2\,\mathrm dx=\frac{288\pi}{35}

6 0
3 years ago
Ms. Peters drove from her home to the park
worty [1.4K]

It takes 15 minutes for Ms. Peter to drive from park to her home

Given :

from her home to the park at an average speed of 30 miles per hour and

returned home along the same route at an average speed of 40 miles per hour

it takes 20 minutes to travel

Convert 20 minutes in to hour (divide by 60)

20 minutes = 1/3 hour

We know that distance = speed x time

 From home to park, distance  =speed \cdot time =30 \cdot \frac{1}{3} =10 miles

So , distance between home  and park is 10 miles

Now we calculate the time taken to return from park to home

time taken =\frac{distance}{speed} =\frac{10}{40}=\frac{1}{4}\\

Time taken is 1/4 hours. Convert it into minutes by multiplying by 60

\frac{1}{4} \cdot 60=15

So it takes 15 minutes for Ms. Peter to drive from park to her home

Learn more : brainly.com/question/18839247

5 0
3 years ago
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