Answer:
Option B.
Step-by-step explanation:
The given triangle is a right angle triangle.
In a right angle triangle,
In the given triangle,
Using Pythagoras theorem, we get
Taking square root on both sides, we get
Therefore, the correct option is B.
Answer:
<h2>
55.39 units ^2</h2>
Step-by-step explanation:
A=pi*r^2
A=3.14*4.2^2
A=3.14*17.64
A=55.3896
A≈55.39 units ^2
Answer:
75
Step-by-step explanation:
So we have:

Take the derivative of the function. Use the power rule, which states that:

Therefore:
![\frac{d}{dx}[f(x)]=\frac{d}{dx}[x^3]](https://tex.z-dn.net/?f=%5Cfrac%7Bd%7D%7Bdx%7D%5Bf%28x%29%5D%3D%5Cfrac%7Bd%7D%7Bdx%7D%5Bx%5E3%5D)
Use power rule:

Now, substitute in -5:

Square and multiply:

So our answer is 75.
This means that the slope of the line tangent to the point (-5,-125) on the graph x^3 is 75.
And we're done!
Answer:
Step-by-step explanation:
Let X be the lengths of a particular animal's pregnancies
X is N(252, 20)
(a) What proportion of pregnancies lasts more than 262 days?

(b) What proportion of pregnancies lasts between 227 and 257 days?

(c) What is the probability that a randomly selected pregnancy lasts no more than 237 days?
P(X<237) = 0.2266
(d) A "very preterm" baby is one whose gestation period is less than 202 days. Are very preterm babies unusual?

Yes very unusual since probability is very near to 0.
Answer:
(10, –1)
Step-by-step explanation:
[1]XXXX3y=−12x+2
[2]XXXXy=−x+9
While it is not technically necessary, I find it easier to clear the fractions before actually beginning; so multiplying [1] by 2
[3]XXXX6y=−x+4
Substituting (from [2]) (−x+9) for y in [3]
[4]XXXX6(−x+9)=−x+4
Simplifying
[5]XXXX−6x+54=−x+4
[6]XXXX5x=50
[7]XXXXx=10
Substituting (from [7]) 10 for x in [2]
[8]XXXXy=−10+9=−1