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Setler79 [48]
3 years ago
7

The diameter of a circle is 16 kilometers. Find the area of the circle.

Mathematics
1 answer:
Elden [556K]3 years ago
4 0

The diameter of a circle is 16 kilometers. Then the area of the circle is 201.062 \mathrm{km}^{2}

<u>Solution:</u>

Given that , the diameter of a circle is 16 kilometers  

We have to find the area of the circle .

Radius is half of diameter.

\begin{array}{l}{\text { diameter }=2 \times \text { radius } \rightarrow \text { radius }=\frac{\text {diameter}}{2}} \\\\ {\rightarrow \text { radius }=\frac{16}{2} \rightarrow \text { radius }=8 \text { kilometers. }}\end{array}

<em><u>The area of circle is given as:</u></em>

\begin{array}{l}{\text { area of a circle }=\pi \times r^2 \\ {\text { Area of a circle }=\pi \times 8^{2}=\pi \times 64=64 \times 3.14=201.062}\end{array}

Hence, the area of the circle is 201.062 km^2

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The expression 7+7x is equivalent to the expression
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Answer:

x+1/7

Step-by-step explanation:

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Write an equation of a parabola in vertex form. Vertex (2,-3) and passes through (0,5)​
nydimaria [60]

Answer:

Step-by-step explanation:

The vertex form of a parabola is given by  y = a(x - h)^2 + k, where (h, k) is the vertex.

Given vertex at (2,-3), h = 2, k = -3

y = a(x - 2)^2 + (-3) = a(x - 2)^2 - 3

The parabola passes through (0,5) so

5 = a(0 - 2)^2 - 3

5 = 4a - 3

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2 years ago
What is an equation of the line that passes through the points (0, 3) and (5, -3)?
shepuryov [24]

Answer <u>(assuming it can be in slope-intercept form)</u>:

y = -\frac{6}{5} x+3  

Step-by-step explanation:

1) First, use the slope formula m =\frac{y_2-y_1}{x_2-x_1} to find the slope of the line. Substitute the x and y values of the given points into the formula and solve:

m =\frac{(-3)-(3)}{(5)-(0)} \\m = \frac{-3-3}{5-0}\\m = \frac{-6}{5}

So, the slope is -\frac{6}{5}.  

2) Now, use the slope-intercept formula y = mx + b to write the equation of the line in slope-intercept form. All you need to do is substitute real values for the m and b in the formula.

Since m represents the slope, substitute -\frac{6}{5} for it. Since b represents the y-intercept, substitute 3 for it. (Remember, the y-intercept is the point at which the line hits the y-axis. All points on the y-axis have an x-value of 0. Notice how the given point (0,3) has an x-value, too, so it must be the line's y-intercept.) This gives the following equation and answer:

y = -\frac{6}{5} x+3

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3 years ago
Assume each figure shown has the same orientation. Which figure is the image of square LMNP after a translation of (x, y) → (x +
creativ13 [48]

<u>Answer-</u>

Figure 4 is the image of square LMNP after a translation of (x, y) → (x + 5, y – 3)

<u>Solution-</u>

The co-ordinates of the vertices are,

L = (-3, 1)

M = (-1, 1)

N = (-1, -1)

P = (-3, -1)

A translation of (x, y) → (x + 5, y – 3) means, the point must be shifted 5 units right and then 3 units down.

After the transformation the new co-ordinates will be,

L = (-3+5, 1-3) = (2, -2)

M = (-1+5, 1-3) = (4, -2)

N = (-1+5, -1-3) = (4, -4)

P = (-3+5, -1-3) = (2, -4)

These are the co-ordinates of the figure no. 4

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Answer:

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Step-by-step explanation:

11/12 - 1/12 = 10/12

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5/6

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