Find the midpoint of the segment from Point A (1, 0.5) to Point B (0.5, 2)

the angle θ is 7.2 degrees, and the circle arc s is 800 km. knowing that there are 360 degrees in a full circle what is the circ

kumpel [21]

The earth is 40000 kilometers around. There is no need to round off because the circumference already contains significant figures.

How do I calculate a circle's circumference?

A circle's diameter is multiplied by to determine its circumference (pi). You can also determine the circumference by multiplying 2radius by pi (=3.14).

Given: theta angle (central) = 7.2°; arc length S = 800 km

This indicates that an 800 km long arc is extending a circle with a 7.2° center angle ( earth in this case).

By definition, "An arc's length is a portion of a circle's diameter."

Therefore, we must first establish what percentage of the circle the specified arc length represents.

360° is a complete circle.

Thus, the fraction equals 7.2°/360°, or 1/50.

As a result, the stated arc length (800km) with a 7.2° central angle is 1/50th of the entire circle.

Thus, the whole circumference is 800 x 50, or 40000 km.

Alternately, you can calculate circumference using the formula below:

360° center angle x arc length as the circumference (theta)

Values substituted: circumference 800 = 360° 7.2°

circumference = 360°, 800°, and 7.2°, or 40000 kilometers

Therefore, the earth is 40000 kilometers around. There is no need to round off because the circumference already contains significant figures.

Learn more about Circumference

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4 0

1 year ago

Which of the following is a true statement? a) The correlation coefficient r is always greater than 1. b) The coefficient of det

brilliants [131]

Answer:

f) None of the above.

Step-by-step explanation:

When we try to adjust a curve from a scatter plot to try and predict values of the dependent variable y given known values of the independent variable x.

The curve is a function y=f(x) which usually is a line, a logarithmic, parabola, power or exponential.

In order to choose which curve adjust the best, we compute a number r called correlation coefficient.

The closer r is to -1 or +1, the better the curve adjust the scatter plot.

When r =0, we say there is no correlation between the points x and y

When -1<r<0 we say there is a negative correlation, this means that the values of y decrease as the values of x increase.

When 0<r<1 we say there is a positive correlation, this means that the values of y increase as the values of x increase.

When r =1 or r =-1, we say that there is a perfect correlation. It means that all of the points of the scatter plot lie on the curve.

So, from the possible choices of answer, f) None of the above is the right one.

6 0

3 years ago

Use the distributive property to exspand the algebraic expression 9(a - 3b)

Gwar [14]

9a-27b you must multiply 9 to everything

6 0

3 years ago

Read 2 more answers

Which of the quadratic functions has the narrowest graph?

charle [14.2K]

Answer:

$y=\frac{1}{8}x^2$

Step-by-step explanation:

A quadratic function has the formula ax² + bx + c

To determine if a graph will be narrow or wide, the leading coefficient, a, will be the factor that determines this
The greater the coefficient, the narrower the parabola
The lesser the coefficient, the wider the parabola

Here all of the functions are in the form ax²

In $y=\frac{1}{8}x^{2}$ , our "a" term is $\frac{1}{8}$
In y = -2x², our "a" term is -2
In y = -3x², our "a" term is -3
In $y=\frac{1}{3}x^{2}$ , our "a" term is $\frac{1}{3}$

We can eliminate the two functions with the negative coefficients because they are much smaller than the two functions with the fractions as coefficients, and will therefore open much wider.

We can now compare the two remaining functions, $y=\frac{1}{8}x^2$ and $y=\frac{1}{3}x^2$

Giving the two fractions common denominators would turn them into $y = \frac{3}{24}x^2$ and $y=\frac{8}{24} x^2$
The equation with the larger fraction will be the parabola that is the narrowest. In this case, it is the $y=\frac{8}{24} x^2$ .
Therefore, $y=\frac{1}{8}x^2$ will have the narrowest graph

7 0

3 years ago

A recipe for strawberry lemonade is shown. How much lemonade does the recipe make? Strawberry Lemonade 114 gallons water 1 quart

Vinvika [58]

Yes I'm going to need a pic as well

7 0

3 years ago

Read 2 more answers