Answer:
A triangle has 3 sides: a, b, c satisfying inequalities below:
=> a + b > c > |a - b|
=> b + c > a > |b - c|
=> c + a > b > |c - a|
9, 15, 17 satisfy the inequalities above (you can check it easily).
Hope this helps!
:)
Answer:
I hope this helps!!!
Step-by-step explanation:
Answer:
The answers are as follows: 12 106 42
Step-by-step explanation:
Given:
Using BODMAS rule (Bracket, Of, Division, Multiplication, Addition and Subtraction) we would calculate
separately and
separately and add them. So we have
.
Now for the second question:
. we would get
Next,
. This could be written as:
. Hence the answers.
<h3>
Answer: Choice A</h3>
The -3 out front of that function means |-3| = 3 is the amplitude, which is the largest of the four functions.
In general, the sine function is
y = A*sin(B(x-C)) + D
where |A| is the amplitude. In the first answer choice, A = -3 so |A| = |-3| = 3.
Cosine has the same format since cosine is just a phase shift of sine.
Answer:

Step-by-step explanation:
Let's find a solution by understanding the following:
The acceleration rate is defined as the change of velocity within a time interval, which can be written as:
where:
A=acceleration rate
Vf=final velocity
Vi=initial velocity
T=time required for passing from Vi to Vf.
Using the problem's data we have:
Vf=65miles/hour
Vi=6miles/hour
T=14.8seconds
Using the acceleration rate equation we have:
, but look that velocities use 'hours' unit while 'T' uses 'seconds'.
So we need to transform 14.8seconds into Xhours, as follows:


Using X=0.0041hours in the previous equation instead of 14.8seconds we have:





In conclusion, the acceleration rate is 