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Illusion [34]
3 years ago
8

for what values of theta do maximum r-values occur on the graph the polar equation r=-4+4cos theta? note that the max r-values o

ccurs a point that is the max distance from the pole. Please help!

Mathematics
1 answer:
julia-pushkina [17]3 years ago
8 0

Answer:

0, 2\pi

Step-by-step explanation:

Cosine is periodic function whose range corresponds to values between -1 and 1. The maximum r-values occur when cosine is equal to one. Then, the set of solutions are:

\theta = 0\,rad \pm 2\pi\cdot i, \forall i \in \mathbb{N}_{O}

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Mandarinka [93]
Use cosine law to solve the problem. See image attached.
What we're looking for is the length of side A (a side which is opposite with angle A).

This is the formula of cosine law
A² = B² + C² - 2BC cos A

Input the numbers
A² = 75² + 90² - 2(75)(90) cos 85°
A = \sqrt{75^{2}+90^{2}-2(75)(90)cos85^{0}}
A = \sqrt{90^{2}+75^{2}-2(90)(75)cos85^{0}}

4 0
3 years ago
A game has a ten sided die. What is the probability of rolling a number less than 4 or a multiple of 3?
kifflom [539]

Answer:

6/10 or 3/5

Step-by-step explanation:

6 0
3 years ago
Write a word phrase for the algebraic expression 3x+10
lions [1.4K]
Hello there!

Jenny wants to park in an airport parking lot. The parking lot costs x amount of money per hour, plus an additional parking fee of $10. Jenny stays in the parking lot for 3 hours.

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3 years ago
What is the slope-intercept form of the equation 3y − 8x = 12?
Svetlanka [38]
1) add 8x on both sides
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6 0
4 years ago
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Assume that a 30-month CD purchased for $2500pays simple interest at an annual rate of 5.5%. How much total interest does it ear
otez555 [7]

Answer:

Interest earned: 343.75

Balance at maturity: 2843.75

Step-by-step explanation:

simple interest formula

P(1+it)

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(another way to solve this part is to just add 343.75 (the interest earned) to the beginning balance)

7 0
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