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alexandr1967 [171]
3 years ago
9

The correct answer is letter E, but I am not sure how to approach this problem and I was wondering if anyone can offer any guida

nce.

Mathematics
1 answer:
Jobisdone [24]3 years ago
6 0

Explanation:

The key to area in polar coordinates is the formula for the area of a sector:

  a = (1/2)r²θ

Then a differential of area* can be written as ...

  da = (1/2)r²·dθ

Filling in the given function for r, we have ...

  da = (1/2)(4cos(3θ))²·dθ = 8cos(3θ)²·dθ

The integral will have limits corresponding to the range of values of θ for one loop of the graph: -π/6 to π/6. So, the area is ...

  \displaystyle A=\int{da}=\int\limits_{-\pi /6}^{\pi /6}{8\cos{(3\theta)}^2}\, d\theta\\\\=8\int\limits_{-\pi /6}^{\pi /6}{\cos{(3\theta)}^2}

_____

* As with other approaches to finding area (horizontal or vertical slice, for example), we assume that the differential element dθ is sufficiently small that we need not concern ourselves with the fact that r is a function of θ.

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SOLVE
Ber [7]

Answer:

Step-by-step explanation:

Numer 1:  The answer to this problem is 4 pounds

Numer 2: 13 cups

Explanation:

Four jars of sauce with 26 oz would be a total of 104 ounces

4 x 26 = 104

1 cup contains 8 ounces.

104 oz x \frac{1cps}{8oz}=13 cups

Numer 3: Since,  1 quartz = 33.307 ounces ( approx )

⇒ 3 quartz  = 99.921 ounces

If the total number of players = 16,

And, the given fluid is divided equally among these players,

Then the total quantity of fluid each player get

\frac{toral quality od drink }{ total players}

=\frac{99.921}{16}

=6.24505625= 6.245

Hence, each player will get around 6.245 ounces of the drink.

Number 4:

36 inches or 3 feet is the correct answer

Number 5 ;

The correct answer for the question that is being presented above is this one: "10 pounds." An office supply company is shipping a case of wooden pencils to a store. There are 64 boxes of pencils in the case. If each box of pencils weighs 2.5 ounces, then...

There are:  

64 boxes of pencils

1 box weighs 2.5 ounces

Find its total weight in pounds.

1 ounce = 0.0625 pounds

64 boxes * 2.5 ounces = 160 ounces

160 ounces * 0.0625 pounds/1 oz = 10 pounds.

The 64 boxes of pencils weigh 10 pounds.

8 0
3 years ago
Question 5 Multiple Choice Worth 1 points)
postnew [5]

Answer:

i have no clue but good luck

Step-by-step explanation:

6 0
3 years ago
Given that
NeX [460]

Answer:

R = 4x + 8y

-8y = 4x - R

-8y = 4(4) - 32

-8y = 16 - 32

-8y = -16

we divide through by -8

so now

y = 2

Hope this will help

6 0
3 years ago
Please someone can help me with #13, 15 and 16 Thanks.
ladessa [460]
What's the question though?
8 0
3 years ago
Please help!<br> Look at the pic
stellarik [79]

Answer:

it is 5 I belive

Step-by-step explanation:

3 0
3 years ago
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