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Stella [2.4K]
3 years ago
15

What’s the volume of the cylinder

Mathematics
1 answer:
FrozenT [24]3 years ago
3 0

Answer:

188.496 mm^3 (or 188.495559 mm^3 if you want to be specific)

Step-by-step explanation:

The radius would be the distance from the middle of the circle on top, we are given that the diameter of the circle is 4mm, the radius is half of that so you would get 2 as the radius (or R). H is the height of the cylinder which is 15 mm, so plugging it in (pi * (2^2) * 15) would get you 188.496 mm^3 (rounded of course).

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(a) Use the fundamental theorem of algebra to determine the number of roots for 2x^2 + 4x + 7
zysi [14]

Answer:

Step-by-step explanation:

A 2nd order polynomial such as this one will have 2 roots; a 3rd order polynomial 3 roots, and so on.

The quadratic formula is one of the faster ways (in this situation, at least) in which to find the roots.  From 2x^2 + 4x + 7 we get a = 2, b = 4 and c = 7.

Then the discriminant is b^2 - 4ac, or, here, 4^2 - 4(2)(7), or -40.  Because the discriminant is negative, we know that the roots will be complex and unequal.

Using the quadratic formula:

       -4 ±√[-40]         -4 ± 2i√10

x  = ------------------ = ------------------

                4                       4

                                       -2 ± i√10

Thus, the roots are x = ------------------

                                               2

4 0
3 years ago
Write the slope intercept form of the equation of the line through the given point with the given slope through (-2,5),slope-3/2
hjlf
Answer: y= -3/2x + 2
y= -3/2 + b
5 = -3/2 * -2 + b
5 = 3 + b
2 = b
6 0
3 years ago
Among the contestants in a competition are 50 women and 26 men. If 5 winners are randomly selected, qhat js the probability that
liq [111]

Answer:

Probability that all winner are men = 0.0035 (Approx.)

Step-by-step explanation:

Given:

Number of women = 50

Number of men = 26

Total number winner = 5

Find:

Probability that all winner are men

Computation:

Total competitor = 50 + 26 = 76

Probability that all winner are men = 26/76 x 25/75 x 24/74 x 23/73 x 22/72

Probability that all winner are men = 7,893,600 / 2,216,980,800

Probability that all winner are men = 0.0035 (Approx.)

5 0
3 years ago
Which of these equations is always true?
Lera25 [3.4K]

Answer:

sin(x) = cos(90°-x)

Step-by-step explanation:

Looking at the graphs of sin(x) and cos(x), you can see that the peaks of the graph are separated by a value of pi/2. If you convert that value into degrees, then the two graphs are separated by 90°. Another way of thinking is from the unit circle. sin(x) = 1 at 90°, and cos(x)=1 at 0°. The difference is still 90°

3 0
3 years ago
Help pls!! Find the value of x and y
kotegsom [21]
It is a parallelogram, so opposite angles are congruent.
4x = 100°
x = 25°

Sum of angles in a parallelogram is 360°.
360°-100°-100° = 160°
y = 160°/2 = 80°

7 0
3 years ago
Read 2 more answers
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