HOw far away can a person live from a radio station and hear its broadcast if the signal covers a circular area of 40000 square miles?
Answers
Answer:
The radio station is at the center of a circle with an area of 40,000 square miles. The furthest point that you could hear the broadcast would be on the outer edge of the circle or at the end of the radius of the circle. The formula for the area of a circle is:
Area = π
So we take what we know and work the formula in reverse.
40,000 = πr²
40,000 / π = r²
12,732.4 = r²
√12,732.4 = √r²
112.84 = r
The radius of a circle with an area of 40,000 square miles is 112.84 miles. This is the furthest point that you would be able to hear the broad cast.
Step-by-step explanation:
Related Questions
3x - (7x -2) + 2 = 10
5y+ 9< 24 what is the inequality?
The time a cake must bake is between 25 minutes and 30 minutes, inclusive
Calculate S37 for the arithmetic sequence in which a7 = 25 and the common difference is d=-1.7
Answers
Answer:
y = 2x + 2W - 2z
Step-by-step explanation:
Add y/2 to both sides of this equation. We get:
y/2 + W = x - z.
Multiplying all four terms by 2 eliminates the fraction:
y + 2W = 2x - 2z
Subtracting 2W from both sides yields:
y = 2x + 2W - 2z
sorry my answer was wrong
O A. -4sys 8
O
B. y2-4
O
O C. -4 sys 9
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D. yis all real numbers.
Answers
Answer:
see below
Step-by-step explanation:
The "range" is the vertical extent of the graph. This one goes from y=-4 to y=8. Hence the range is ...
-4 ≤ y ≤ 8
Answers
The 2-point form of the equation for a line can be used.
... y = (y₂-y₁)/(x₂-x₁)·(x -x₁) +y₁
Filling in the given information, you have
... y = (4-1)/(4-3)·(x-3) +1 . . . . an equation for the line
... y = 3x -8 . . . . . . . . . . . . . . simplified to slope-intercept form
... 3x -y = 8 . . . . . . . . . . . . . .. rearranged to standard form
Final answer:
The equation of the line passing through given points (3, 1) and (4, 4) can be found by calculating the slope and the y-intercept of the line. First, we find the slope (m) is 3. Then, by substituting the slope and one point into the formula y = mx + b, we find the y-intercept is -8. Thus, the equation of the line is y = 3x - 8.
Explanation:
To find the equation of a line passing through two points, we need to find the slope (m) first. The formula for calculating the slope is m = (y2 - y1) / (x2 - x1). Taking the given points (3, 1) and (4, 4), we can substitute into our formula and get m = (4 - 1) / (4 - 3) = 3 / 1 = 3.
Once we have the slope, the next step is finding the y-intercept (b) using the equation of a line, y = mx + b. Replacing m, x, and y with known values from any point, let's use (3, 1), we get 1 = 3*3 + b, that simplifies to b = -8.
So the equation of the line that passes through the points (3, 1) and (4, 4) is: y = 3x - 8.
Learn more about line equation here:
#SPJ3
6 ft.
6
ft.
Answers
Answer:
3 ft
Step-by-step explanation:
Answers
Answer:
1. 0.20 m, 200 mm
2. 152 cm, 1520 mm
Step-by-step explanation:
You may be familiar with a place-value chart that names the digits of a number based on their relationship to the decimal point. It might look like ...
(units) . (tenths) (hundredths) (thousandths)
So a number like 0.2 units can be rewritten in terms of hundredths or thousandths like this:
0.200 units = 20.0 hundredths = 200. thousandths
The name that's attached depends on where you put the decimal point.
___
When the units are meters, the corresponding names are ...
(meters) . (decimeters) (centimeters) (millimeters)
1. That is 0.200 meters = 20.0 centimeters = 200. millimeters.
2. 1.520 meters = 152.0 centimeters = 1520. millimeters.
Answers
Answer:
1/2
Step-by-step explanation:
Answer:
1/2
Step-by-step explanation:
1/4 = 0.25 x 2 = 0.5 = 1/2