Answer:
The answer to your question is diameter = 19.7 in
Step-by-step explanation:
Data
Circumference = 62 in
diameter = ?
Process
1.- Write the formula of Circumference, remember that circumference = perimeter.
Perimeter = 2πr
2.- Equal the equation to the value given
2πr = 62
-Solve it for r
r = 62/2(3.14)
-Result
r = 62/6.28
r = 9.87 in
3.- Find the diameter
diameter = 2r
diameter = 2(9.87)
diameter = 19.7 in
Answer:
2.45, -2.45
Step-by-step explanation:
Since the equation has only one term in the unknown "x", we can solve for it isolating "x" on one side of the equal sign:

Which we can round to: x = - 2.45 and x = 2.45
Answer: slope = 3
Step-by-step explanation:
We can see from the point intersecting the y axis (y-intercept) to the point (1, 1) it goes up 3 and right 1 giving us the slope
simplified to 3
Using the slope concept, it is found that the thundercloud is 6.43 miles above the ground.
<h3>What is a slope?</h3>
The slope is given by the <u>vertical change divided by the horizontal change</u>, and it's also the tangent of the angle of depression.
In this problem, we have that:
- The vertical distance is the height h.
- The horizontal distance is of 3 miles, as the sound takes 5 seconds to travel 1 mile, and it took 15 seconds.
Hence:
tan(65º) = h/3.
h = 3 x tan(65º)
h = 6.43 miles.
The thundercloud is 6.43 miles above the ground.
More can be learned about the slope concept at brainly.com/question/18090623
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It is barely less than 2 quarts, at 1.5 quarts.