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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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Rounded to the nearest hundred cubic meters, what is the total capacity (cone and cylinder) of the storage container?
hichkok12 [17]
The picture in the attached figure

we know that
the total capacity of the storage container=volume of a cone+volume of cylinder

step 1
find the volume of a cone
volume of a cone=(1/3)*pi*r²*h
r=6 m
h=8 m
so
volume=(1/3)*pi*6²*8-----> 301.44 m³

step 2
find the volume of the cylinder
volume of a cylinder=pi*r²*h
r=6 m
h=10 m
s6
volume=pi*6²*10----> 1130.40 m³

total volume=301.44+1130.4-----> 1431.84 m³-------> 1400 m³

the answer is
1400 m³

5 0
3 years ago
What is the difference of the polynomials? (5x - 3) - (2x + 7).​
alukav5142 [94]

Answer:

The answer is

<h2>3x - 10</h2>

Step-by-step explanation:

(5x - 3) - (2x + 7).

<u>Remove the brackets</u>

That's

5x - 3 - 2x - 7

<u>Group like terms and simplify</u>

That's

5x - 2x - 3 - 7

We have the final answer as

<h3>3x - 10</h3>

Hope this helps you

7 0
3 years ago
Which answer choice correctly solves for a and b?
Zepler [3.9K]

Answer:

C

Step-by-step explanation:

Using the sine ratio and the exact value sin45° = \frac{1}{\sqrt{2} } , then

sin45° = \frac{opposite}{hypotenuse}  = \frac{6}{a} = \frac{1}{\sqrt{2} } ( cross- multiply )

a = 6\sqrt{2}

Using the tangent ratio and the exact value tan45° = 1 , then

tan45° = \frac{opposite}{adjacent} = \frac{6}{b} = 1 , so

b = 6

6 0
3 years ago
In your last 24 basketball games, you attempted 93 free throws and made 69. Find the experimental probability that you make a fr
Bas_tet [7]

Answer:

74%

Step-by-step explanation:

dividing 69 ÷ 93 gives us the percentage of shots thrown / probability

5 0
3 years ago
What is each expression written using each base only once? (-4)^-6*(-4)^7
andreyandreev [35.5K]
(-4)^-6*(-4)^7 = (-4)^1 = -4

answer a. -4
6 0
3 years ago
Read 2 more answers
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