Let us draw a triangle ABC with A=15° ,B=113° and b=7.
Please see the attached image.
We know that the sum of interior angles of a triangle is 180 degrees. Thus, we have
Apply Sine rule in the triangle ABC, we get
Therefore, we have
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1 answer:
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Answer:
0.025
Step-by-step explanation:
Hello!
Given that the classes are uniformly distributed between 45.0 and 55.0 minutes, the propability distribution will be:
Now, we are looking for a probability P(51.5<x<51.75) which can be computed as:
Therefore:
P(51.5<x<51.75) = 0.025
or
P(51.5<x<51.75) = 2.5%
<em><u>I strongly believe that the answer for both questions have the same answer, I believe this because there is no additional info for a given class or selecting a class. I think both probabilities are the same.</u></em>
Answer:
- 2 seconds
- 72 feet
Step-by-step explanation:
The usual equation used for the vertical component of ballistic motion is ...
h(t) = -16t² +v₀t +h₀
where v₀ is the initial upward velocity, and h₀ is the initial height. Units of distance are feet, and units of time are seconds.
Your problem statement gives ...
v₀ = 64 ft/s
h₀ = 8 ft
so the equation of height is ...
h(t) = -16t² +64t +8
__
For quadratic ax² +bx +c, the axis of symmetry is x=-b/(2a). Then the axis of symmetry of the height equation is ...
t = -64/(2(-16)) = 2
The object will reach its maximum height after 2 seconds.
The height at that time will be ...
h(2) = -16(2²) +64(2) +8 = 72
The maximum height will be 72 feet.
Answer:
Step-by-step explanation:
Hi there!
Slope-intercept form: where <em>m</em> is the slope and <em>b</em> is the y-intercept (the value of y when x is 0)
<u>1) Plug in the slope (</u><u><em>m</em></u><u>)</u>
We're given that the slope is . In
, replace <em>m</em> with
:
<u>2) Determine the y-intercept (</u><u><em>b</em></u><u>)</u>
We're given the point (-9,4). Plug this point into the equation as and solve for <em>b</em>:
Subtract from both sides to isolate <em>b</em>:
Therefore, the y-intercept is . Plug this back into
as <em>b</em>:
I hope this helps!