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Evgesh-ka [11]
1 year ago
11

The diameter of a circle is 34 yards. What is the circle's area? Use 3.14 for ​.

Mathematics
2 answers:
barxatty [35]1 year ago
8 0

Answer:

907.46 mm2

Step-by-step explanation:

Area of circle = (¶d^2)/4

d = 34 mm

Therefore

Area A = (3.14 x 34^2)/4

= 907.46 mm2

mr_godi [17]1 year ago
7 0

907.43 \:  {yrds}^{2}

Step-by-step explanation:

The formula to find the area of a circle is:

\pi {r}^{2}

since pi is 3.14 then, and the radius is half of the diameter, then:

diameter = 34 \\ radius =  \frac{34}{2}  \\ radius = 17

Therefore;

area = \pi  {r}^{2} \\ area = (3.14) {(17)}^{2} \\  = 3.14 \times 289 \\  = 907.46 {yrds}^{2}

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The length of a rectangle is four times its width.
Irina-Kira [14]

Answer:

Length = 24 yd

Width = 6 yd

Step-by-step explanation:

To start out, we can begin by saying that "l" is the length of the rectangle, and "w" is the width.

Since we know that the length (l) is 4 times its width we can say that 4 times the width is equal to its length. We would write this out this way :

4w = l

Next, we know that the perimeter is 60yd (as it is given in the question). We also know that the perimeter of a rectangle is all of its sides, added. Meaning the length plus the length, plus the width and the width. So, we can use the equation :

2l + 2w = p

"p" being the perimeter. And, since the perimeter is 60, we can place in 60 for "p"

2l + 2w = 60

Now we can use this information to combine the terms, and find the width and length. We first do this by noticing that in the first equation, it shows that "l" (the length) is equal to 4w. This means that we can put 4w in place of the "l" in the second equation. We can do this, becuase we know that "l" is equal to 4w. (from the first eqaution)

2 (4w) + 2w = 60

Now, we solve

2 * 4w = 8w

8w + 2w = 10w

So now we have :

10w = 60

To get the width, all we have to do is simply get "w" alone. We can do this by dividing both sides by 10.

10w = 60

/10     /10

w = 6

Therefore, the width is 6.

Now, going back to the first equaiton, we already know that the length is 4 times the width, meaning all we have to do is multiply 6 by 4 to get the length.

6 * 4 = 24.

Therefore, the length is 24.

Lastly, to check and make sure we are correct, we can go back to the second equation. 2l + 2w = 60

2 (24) + 2 (6) = 60

2 * 24 = 48

2 * 6 = 12

48 + 12 = 60

60 = 60

Now, we officially know that the length of the rectangle is 24 and the width is 6.

6 0
2 years ago
If T is the point at the given distance on the unit circle C from P (1, 0), determine the quadrant in which T lies:
givi [52]
Hello,

Answer D

9π/6<11π/6<12π/6
Quadrant IV

8 0
3 years ago
Read 2 more answers
Simplify. √-121+ √-25
astra-53 [7]

Answer:

6<em>i</em>

Step-by-step explanation:

sqrt(-121) - sqrt(-25)

11<em>i</em> - 5<em>i</em>

<u>6</u><u><em>i</em></u>

8 0
3 years ago
A : 98<br> B : 31.1<br> C : 14 <br> D : 9.9<br><br><br> Please help :(
irina [24]

Hope you could understand.

If you have any query, feel free to ask.

4 0
2 years ago
Given points A(-1, -2) and B(2, 4) where AP: BP=1:2, find the locus of point P.​
koban [17]

Answer:

x^2 + 4x + y^2 +8y  =  0

Step-by-step explanation:

Given

A = (-1,-2)

B = (2,4)

AP:BP = 1 : 2

Required

The locus of P

AP:BP = 1 : 2

Express as fraction

\frac{AP}{BP} = \frac{1}{2}

Cross multiply

2AP = BP

Calculate AP and BP using the following distance formula:

d = \sqrt{(x - x_1)^2 + (y - y_1)^2}

So, we have:

2 * \sqrt{(x - -1)^2 + (y - -2)^2} = \sqrt{(x - 2)^2 + (y - 4)^2}

2 * \sqrt{(x +1)^2 + (y +2)^2} = \sqrt{(x - 2)^2 + (y - 4)^2}

Take square of both sides

4 * [(x +1)^2 + (y +2)^2] = (x - 2)^2 + (y - 4)^2

Evaluate all squares

4 * [x^2 + 2x + 1 + y^2 +4y + 4] = x^2 - 4x + 4 + y^2 - 8y + 16

Collect and evaluate like terms

4 * [x^2 + 2x + y^2 +4y + 5] = x^2 - 4x + y^2 - 8y + 20

Open brackets

4x^2 + 8x + 4y^2 +16y + 20 = x^2 - 4x + y^2 - 8y + 20

Collect like terms

4x^2 - x^2 + 8x + 4x + 4y^2 -y^2 +16y + 8y  + 20 - 20 =  0

3x^2 + 12x + 3y^2 +24y  =  0

Divide through by 3

x^2 + 4x + y^2 +8y  =  0

3 0
3 years ago
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