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jolli1 [7]
2 years ago
11

Martina used 3 as the value of pi to estimate the area of a circular patio that had a diameter of 26 ft.

Mathematics
1 answer:
dezoksy [38]2 years ago
6 0

Answer:

507 ft²

Step-by-step explanation:

the area (A) of a circle is calculated as

A = πr² ( r is the radius )

given diameter = 26 then r = 26 ÷ 2 = 13 , so

A = π × 13² ≈ 3 × 169 = 507 ft²

You might be interested in
Bashir works in a weather station and has launched a weather ballon. The height of the baloon is 4 kilometers and it is 1 kilome
andrew-mc [135]

<u><em>Answer:</em></u>

(c) 4.1 km

<u><em>Explanation:</em></u>

We are given that the height of the balloon is 4 km and that it is 1 km away from the station.

Setting up the diagram that describes the given scenario, we would end up with a right-angled triangle as the one shown in the attached image

<u>where:</u>

height of the balloon = 4 km represents one side of the triangle

distance between the base of the balloon and the station = 1 km represents the other side

distance between the balloon and the station is the length we want to find and it represents the hypotenuse of the triangle.

<u>To get the length of the hypotenuse, we will use the Pythagorean theorem</u>

hypotenuse = +\sqrt{(side1)^2 + (side2)^2}

<u>Substitute with the givens:</u>

hypotenuse = +\sqrt{(4)^2 + (1)^2} = √17 ≈ 4.1 km

Hope this helps :)


3 0
3 years ago
How do you find the value of √a⁴ ??<br> (ill give brainliest)
dsp73

Answer:

a^{2}

Step-by-step explanation:

√a^4 is the same as:

√a × √a × √a × √a

group them as 2 pairs of

(√a × √a) × (√a × √a)

which makes

a × a

which is the same as a^{2}

5 0
3 years ago
PLEASE HELP IM TIMED I'LL GIVE 45 POINTS!!!!!
aksik [14]

Answer:

Jayce should not use either option. Option 1 is likely to be based so that paperbacks are overrepresented, while Option 2 is likely to be biased so that e-books are overrepresented.

Step-by-step explanation:

<em>Given:</em>

<em>Jayce volunteers for the local library. The librarian wants to find out whether the patrons prefer paperback books or e-books. Jayce cannot decide which method to use for polling the patrons.</em>

<em>Option 1: Poll every fifth patron who enters the library on Paperback Lovers Day.</em>

<em>Option 2: Poll every third patron who enters the library on Technology Appreciation Day.</em>

<em />

<em>Since, Option 1: Poll every fifth patron who enters the library on Paperback Lovers Day. It biased because since it paperback lovers day thus, it would be likely that most people like the paperback which make it biased.</em>

<em>Since, Option 2: Poll every third patron who enters the library on Technology Appreciation Day. It biased because since it technology appreciation day thus, it would be likely that most people don't care about these stuff since people coming in are for technology appreciation.</em>

<em />

<em />

<em>Therefore, the answer is:</em>

Jayce should not use either option. Option 1 is likely to be based so that paperbacks are overrepresented, while Option 2 is likely to be biased so that e-books are overrepresented.

<u><em>Kavinsky</em></u>

3 0
2 years ago
A triangle has side lengths of (7x-4)(7x−4) centimeters, (x+3)(x+3) centimeters, and (3y+2)(3y+2) centimeters. Which expression
Papessa [141]

Answer:

<u>This assumes that the question was meant to read:</u>

"A triangle has side lengths of (7x−4) centimeters, (x+3) centimeters, and (<u>3x+2</u>) centimeters."  <u>And not </u>"A triangle has side lengths of (7x-4)(7x−4) centimeters, (x+3)(x+3) centimeters, and (3y+2)(3y+2) centimeters."

If the revision is correct, the perimeter is 11x + 1 cm

=============================================

<u>If the question was correctly written, then answer is:</u>

50x^2 - 50x + 9y^2  + 12 y  + 29

===============

Step-by-step explanation:

  (7x-4) cm

+ (x+3)  cm

<u>+ (3x+2) cm</u>

11x + 1 cm

If the question was correctly written as is, then:

(7x-4)(7x−4) = 49x^2 - 56x + 16

+(x+3)(x+3)    =     + x^2   + 6x   + 9

+(3y+2)(3y+2) = <u> +9y^2  + 12 y  + 4</u>

                         50x^2 - 50x + 9y^2  + 12 y  + 29 cm

                       

8 0
2 years ago
Write the first three terms in the following sequences. Identify them as arithmetic or geometric
vaieri [72.5K]

Answer:

A(1)=9

A(2)=4

A(3)=-1

Arithmetic sequence

Step-by-step explanation:

We are given that

A(n+1)=A(n)-5 \;for\;n\geq 1 A(1)=9

We have to find first three terms and identify the sequence is geometric or arithmetic.

Substitute n=1

Then, we get

A(2)=A(1)-5=9-5=4

For n=2

A(3)=A(2)-5=4-5=-1

For n=3

A(4)=-1-5=-6

d_1=A_2-A_1=4-9=-5

d_2=A_3-A_2=-1-4=-5

d_3=A_4-A_3=-6+1=-5

d_1=d_2=d_3=-5

When the difference of consecutive terms are constant then the sequence is arithmetic sequence.

Therefore, given sequence is arithmetic sequence.

8 0
3 years ago
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