Actually Welcome to the Concept of the circles.
It's is universally proven that ratio of circumference and diameter is always π
hence the decimal value is π = 3.14
===> answer is option B.) 3.14
What is the slope of the line given by the equation -3x = 30 - 5y?
1 answer:
Answer:
The slope of the line given by the equation -3x=30-5y is .
Step-by-step explanation:
-3x=30-5y
Move the -3x to the right side of the equal sign and the -5y to the left.
5y=30+3x
By switching them to opposite sides, their sign changes from - to +.
Then, divide both sides by 5 in order to isolate the y.
You get:
<em>y= </em><em />
According to y=mx+b, mx refers to the slope.
In this case, the slope would be .
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Answer:
5.89 mi/h
Step-by-step explanation:
This problem can be solved by using different methods. I will use vectors since it's the simplest way in which we can solve it. This can be solved by using related rates of change though.
First, we start by drawing a diagram with the velocity vectors.
A= velocity of the first person
B= velocity of the second person
C= velocity in which they are moving away from each other.
Since there is no acceleration in the problem, we can suppose we are talking about constant speeds, so the velocity at which they are moving away from each other will always remain constant. (It doesn't matter what time it is, the velocity will always be the same)
Having said this we can solve this problem by using the components, by using law of cosines or graphically. I will use law of cosines. The idea is to find the length of side c.
Law of cosines:
so we can solve the formula for C so we get:
and now we can substitute the values we know:
if we want an exact answer, then that will be the exact answer, which approximates to:
C=5.89 mph
Answer:
264 units.
Step-by-step explanation:
since the two bases are 20 and 24, the shorter base is usually the shorter number, so the shorter base is 20 units. Which means, the longer base is 24 units. So, half of 24 is 12. So, the height is 12. Then I used to calculator, my results are in the picture below.
