Answer:
option 3 is the correct.....
Step-by-step explanation:
multiplying all the algebraic expressions
volume of cuboid = 3x (x+3)(x+1)
= 3x³ + 12x² + 9x
<h3>
Answer: D) 95</h3>
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Explanation:
First, let's calculate angle BYC. This is the angle formed by the chords that subtend the arcs mentioned. This angle faces or is aimed toward the direction of the arcs. To find this angle, we'll average the arc measures like so:
angle BYC = (arcAD + arcBC)/2
angle BYC = (50+120)/2
angle BYC = 170/2
angle BYC = 85 degrees
Then we'll use the idea that angles BYC and DYC are supplementary (aka they form a straight 180 degree angle)
angleBYC + angleDYC = 180
angleDYC = 180 - angleBYC
angleDYC = 180 - 85
angleDYC = 95 degrees
which is why the answer is choice D.
Answer:
The result of the integral is:

Step-by-step explanation:
We are given the following integral:

Trigonometric substitution:
We have the term in the following format:
, in which a = 3.
In this case, the substitution is given by:

So

In this question:



So

We have the following trigonometric identity:

So

Replacing into the integral:

Coming back to x:
We have that:

So

Applying the arcsine(inverse sine) function to both sides, we get that:

The result of the integral is:

8x^2 = 96x
8x^2 - 96x = 0
8x(x - 12) = 0
8x = 0....x = 0
x - 12 = 0
x = 12
ur number is 12
Answer:
50.24 inches
Step-by-step explanation:

3.14 * 16
= 50.24