Answer:
10 miles per hour.
Step-by-step explanation:
Let x represent athlete's walking speed.
We have been given that her jogging rate is 5 mph faster than her walking rate, so athlete's jogging speed would be miles per hour.
10 minutes = 1/6 hour.
20 minutes = 1/3 hour
While walking, we will get
While jogging, we will get
Since athlete is covering same distance while walking and jogging, so we can equate both expressions as:
Cross multiply:
Therefore, athlete's walking speed is 5 miles per hour.
Jogging speed:
Therefore, athlete's jogging speed is 10 miles per hour.
Answer:
78.8
Step-by-step explanation:
85+90+65+75+79
=78.8
Answer:
x=5
Step-by-step explanation:
You can use the 30-60-90 rule or trigonometry to solve this.
<u>The 30-60-90 rules states...</u>
- the hypotenuse is 2x
- The long leg is
- the short leg is x
Ex: short leg is 7 which means the long leg is and the hypotenuse is 14
Therefore if the hypotenuse is 10 then x (short leg) should be 5
<u>Trigonometry also proves this...</u>
<u>Sine</u>
<u>Opposite</u>
<u>Hypotenuse</u>
Cosine
Adjacent
Hypotenuse
Tangent
Opposite
Adjacent
We will use SINE since we are trying to find the leg opposite to the 30 degree angle and the hypotenuse is already given (10)
(Use a calculator for this)
Step 1: Find f'(x):
f'(x) = -6x^2 + 6x
Step 2: Evaluate f'(2) to find the slope of the tangent line at x=2:
f'(2) = -6(2)^2 + 6(2) = -24 + 12 = -12
Step 3: Find f(2), so you have a point on y=f(x):
f(2) = -2·(2)^3 + 3·(2)^2 = -16 + 12 = -4
So, you have the point (2,-4) and the slope of -12.
Step 4: Find the equation of your tangent line:
Using point-slope form you'd have: y + 4 = -12 (x - 2)
That is the equation of the tangent line.
If your teacher is picky and wants slope-intercept, solve that for y to get:
y = -12 x + 20
Answer =
E = 1/2 = 0.500
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Now you need to rearrange the problem ( common sense :) :
1/2 * e - (1/4 ) = 0 | Now we need to Simplify 1/4 : 1/2 * e - 1/4 = 0
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Now we need to simplify 1/2 : 1/2 * e - 1/4 = 0
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What are there denominators??? = 2 and 4 ,,,,,, DUH . LOL
The lease common multiple is 4.
Now divide 1/2 by e which is 1/2 = 0.500
i hope this helps you a lot