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daser333 [38]
2 years ago
14

27. Find a polar equation of the conic with focus at the pole that has the given eccentricity and equation of directrix.

Mathematics
1 answer:
ololo11 [35]2 years ago
4 0

The polar equation will be  r=\dfrac{4}{1+cos\theta}

<h3> What is the polar equation?</h3>

A polar equation is any equation that expresses the relationship between r and theta, where r is the distance between the pole (origin) and a point on a curve, and theta is the counterclockwise angle formed by a point on a curve, the pole, and the positive x-axis.

From the equation, we are told that

The  Eccentricity: e = 1

The  Directrix is   y = 4

Generally, the polar equation for e =  1  and y  =  + c is mathematically represented as

r =\dfrac{e\times c}{1+ecos\theta}

r =\dfrac{1\times 4}{1+1\times cos\theta}  

 r=\dfrac{4}{1+cos\theta}

 

Therefore the polar equation will be  r=\dfrac{4}{1+cos\theta}

To know more about the polar equation follow

brainly.com/question/9363127

#SPJ1

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Step-by-step explanation:

Given: A pharmaceutical salesperson receives a monthly salary of $5000 plus a commission of 7% of sales.

Total wages = Monthly salary + 7% of (Monthly sales)

Let salesperson’s monthly wage be W and monthly sales be S.

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Or W= 5000+0.07S

Required linear equation: W= 5000+0.07S

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3 years ago
John wants to magnify the image of a fire ant and a crab spider so they appear to be the same length. How many times their actua
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You would have to magnify the Fire Ant five times and the Crab Spider four times to get the answer
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3 years ago
What are the answers please help!
Softa [21]

Answer: A, C, D

Step-by-step explanation:

A) Correct. They factored out 5.

C) Correct. They factored out 10.

D) Correct. They factored out -5.

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1 year ago
You need to order cement to make a concrete sidewalk 3 feet wide and 95 feet long. Assume that the depth of the concrete is 4 in
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Answer:

3.5 cubic yards of cement we need.

Step-by-step explanation:

Given : You need to order cement to make a concrete sidewalk 3 feet wide and 95 feet long. Assume that the depth of the concrete is 4 inches.

To find : How much cement is needed, in cubic feet?  How many cubic yards of cement do you need?

Solution :

The length of the side walk is 95 feet long.

The width of the side walk is 3 feet long.

The depth of the concrete is 4 inches.

Convert inches into feet,

1 inch = 0.083 feet

4 inch = 4\times 0.083=0.332 feet

Volume of the cement required is given by

V=l\times b\times h

V=95\times 3\times 0.332

V=94.62\ ft^3

Converting volume into yards,

1\ ft^3=0.037\ yd^3

94.62\ ft^3=3.50094\ yd^3

Therefore, 3.5 cubic yards of cement we need.

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3 years ago
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Answer:

At 15:15

Step-by-step explanation:

Given,

the 1st boy can run a lap in 15 minutes

the 2nd boy can run a lap in 25 minutes

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Now if they start running at 12:45,they will meet after the time which will be equal to the L.C.M. of their time need to run a lap.

L.C.M. of 15,25 & 10 = 150

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If we add it with 12:45 we'll get 15:15 or 3:15 pm

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