MATHEMATICS HIGH SCHOOL

A cylinder has a height of 13 meters. It's volume is 4,082 cubic meters. What is radius of the cylinder?

Answers

Answer 1

Answer:

Answer:

the radius is 10 m apprx

Step-by-step explanation:

height of the cylinder = $\pi r^(2) h$ = 4082 $m^3$

then $r^(2)= (4082)/(13\pi ) = 99.9493$

r= $√(99.9493)$ =10.0 m

Answer 2

Answer:

Answer: A cylindrical water storage tank has an inside base radius of 7m and depth of 11 m. ... Let the depth of the tank be h metres.

Step-by-step explanation:

Related Questions

What are the solutions of the equation: z^2 - 12z + 36 = 0? A. -6, 6 B. 6, 6 C. 6, -6 D. -6, -6
What is the sum of a 58-term arithmetic sequence where the first term is 6 and the last term is 405?11,097 11,508 11,919 12,330
A pie is cut in such a way that one piece, which is one quarter of the pie, is twice as large as each of theother pieces. How many pieces of pie are there?A 4 B 5C 6D 7
Which table corresponds to the function y=-3x+5
Find the measure of angle B 78 degrees 37 degrees 55 degrees 65 degrees

Find x in circle O. Figure is not drawn to scale. HURRY PLEASE

Answers

Answer:

B. 23,5

Step-by-step explanation:

What can be said about the discriminant of the graph below?

Answers

Answer:

C. The discriminant is negative, so there are no solutions.

Step-by-step explanation:

We see that the given figure is a graph of a parabola.

The equation of the given parabola is $y=(x-3)^(2)+1$ .

Simplifying the equation in quadratic form, we get,

The equation is $y=(x-3)^(2)+1$ i.e. $y=x^(2)+9-6x+1$ i.e. $y=x^(2)-6x+10$ .

We know that the discriminant of a quadratic equation $ax^(2)+bx+c=0$ is given by $D=b^(2)-4ac$

So, from the equation $x^(2)-6x+10=0$ , we have,

a = 1, b = -6 and c = 10

Thus, the discriminant is $D=(-6)^(2)-4* 1* 10$

i.e. $D=36-40$

i.e. $D=-4$

So, the discriminant is -4 i.e. negative.

Hence, as the discriminant is negative, there are no solutions.

Find the sum of the measure of the exterior angle of the convex polygon

Answers

No matter what type of polygon you have, the sum of the exterior angles is ALWAYS equal to 360°. If you are working with a regular polygon, you can determine the size of EACH exterior angle by simply dividing the sum, 360, by the number of angles.

Bob and mark talk about their families. Bob says he has 3 kids, the product of their ages is 72. He gives another clue: the sum of the ages of his children. Mark points out there is still not enough information to accurately guess. Finally, Bob says" my youngest child called justice". Mark can then correctly determine the ages of bob's children. What are the ages?

Answers

I can only give possible combinations of the ages. This is because only the product is given. Had the sum of all ages been given, possible combinations would boil down into 1 combination.

3 kids with a youngest. This means that the ages are not the same.
We do prime factorization to get the age combination.

72 ÷ 2 = 36
36 ÷ 2 = 18
18 ÷ 2 =   9
9 ÷ 3 =   3
3 ÷ 3 =   1

1 x 2 x 2 x 2 x 3 x 3 = 72

Possible combination with no repeating number.

1 x 8 x 9 = 72
2 x 4 x 9 = 72
4 x 6 x 3 = 72
1 x 6 x 12 = 72

What is the result when 55 is increased by 209%

Answers

165.95, because 209% of 55 is 114.95, and 114.95 plus 55 is 165.95.

Determine whether AB and C D are parallel, perpendicular, or neither.A (8,4), B (4, 3), C (4, -9), and D (2, -1)

Answers

Answer:

To determine whether AB and CD are parallel, perpendicular, or neither, we need to analyze their slopes.

The slope of a line passing through two points (x1, y1) and (x2, y2) can be calculated using the slope formula:

slope = (y2 - y1) / (x2 - x1)

Let's calculate the slopes of AB and CD:

AB:

Point A (8, 4)

Point B (4, 3)

slope of AB = (3 - 4) / (4 - 8) = -1 / -4 = 1/4

CD:

Point C (4, -9)

Point D (2, -1)

slope of CD = (-1 - (-9)) / (2 - 4) = 8 / -2 = -4

Now, let's analyze the slopes:

1. If the slopes of AB and CD are equal, then the lines are parallel.

In this case, the slope of AB is 1/4 and the slope of CD is -4. Since the slopes are different, AB and CD are not parallel.

2. If the product of the slopes is -1, then the lines are perpendicular.

In this case, the product of the slopes of AB and CD is (1/4) * (-4) = -1. Since the product is -1, AB and CD are perpendicular.

Therefore, AB and CD are perpendicular to each other.

In summary, AB and CD are perpendicular lines.

Step-by-step explanation:

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