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Darina [25.2K]
3 years ago
14

the rockford's have a square play area that is built around a center sandbox that is in the shape of a circle. the sides of the

play area are tangent to the circle . they want to determine the amount of grass seed to but for the spring. if the diameter of the circular sandbox is represented by d use function notation to write a function to represent the play area only.
Mathematics
1 answer:
Pie3 years ago
4 0
The area of the square is d^2. The area of the circle sandbox is πr^2=πd^2/4. So the area of play area only is equal to square area minus circle area which is d^2-πd^2/4.
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Find the measure of angle A
Mariana [72]
Apply the law of cosines. and solve for A

14^{2} = 11^{2} + 11^{2} - 2(11)(11)cos(A) \\ 
196 = 121 + 121 - 242cos(A)  \\ 
-46 = -242cos(A) \\cos(A) = 0.1900826446

 A = 79.04239272, or 79

5 0
3 years ago
Please help me with these questions
kaheart [24]

Answers:

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a) 2

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Note: I may not be correct on all of them. Some of them were confusing a little bit, so I just wanted to let you know. Please don't come after me in the comments if I am wrong with one of the answers. In reality, you should be doing this. Either way, I hope this helps! Please, please, PLEASE mark brainliest. I would really appreciate it. :)

8 0
3 years ago
Find z1z2 if z1 = 2/5(cos63° + isin63°) and z2 = 10/3(cos117° + isin117°).
Airida [17]

Answer:

-10/3 is the answer

Step-by-step explanation:

Given are two complex numbers as

z1=\frac{2}{5} (cos63  + isin63)\\z2=\frac{10}{3} (cos 117 + isin117})

Recall Demoivre theorem as

(cosA+isinA)(cos A+isin B) = cos(A+B)+isin(A+B)

Hence here we have sum of angles  as

A+B = 63+117 =180

z1z2=\frac{2}{5} \frac{10}{3} (cos180+isin180)

=\frac{-10}{3}

Since sin180=0 and cos 180=-1

7 0
3 years ago
a village having a population of 4000, requires 150 litres of water per head per day. it has a tank measuring 20m x 15m x 6m. fo
allochka39001 [22]

The water will last for 3 days

<em><u>Solution:</u></em>

Given that, village having a population of 4000, requires 150 litres of water per head per day

<em><u>Let us first find the volume of tank</u></em>

The tank measuring 20m x 15m x 6m

Length = 20 m

Breadth = 15 m

Height = 6 m

volume\ of\ tank = length \times breadth \times height

Volume\ of\ tank = 20 \times 15 \times 6 = 1800

Thus volume of tank is 1800 cubic meter

From given,

Water required per person per day = 150 liters

<em><u>Therefore, water required for 4000 people per day is:</u></em>

\rightarrow 4000 \times 150 = 600000 \text{ liters }

Convert to meters

600000 \text{ liters } = 600000 \times \frac{1}{1000}\ m^3\\\\600000 \text{ liters } = 600\ m^3

<em><u>How many days will the water of this tank last?</u></em>

\text{Number of days water will last } = \frac{\text{volume of tank}}{\text{total water required per day}}

\text{Number of days water will last } = \frac{1800}{600} = 3

Thus the water will last for 3 days

5 0
3 years ago
On a piece of paper, use a protractor to construct a triangle with angle measures of 40 degrees and 60 degrees.
Andru [333]

Answer:

80

Step-by-step explanation

Well every triangle has to equal 180 degrees.

So you would add the two degrees you already have, which on this one you would get 100.

Then, you would subtract that number from 180 to get 80.


Hope this helps you!!

8 0
3 years ago
Read 2 more answers
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