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2 years ago

What is the volume of a cylinder with base radius 2 and height 9?

Mathematics

1 answer:

harkovskaia [24]2 years ago

6 0

Answer:

113.04

Step-by-step explanation:

V of Cylinder = h x r^2 x 3.14 (or pi)

Therefore, V of Cylinder is 9 x 2^2 x 3.14 = 113.04

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If using the method of completing the square to solve the quadratic equation x^2-10x-13=0, which number would have to be added t

Maru [420]

Answer: The solution to the problem is based on the solutions

from the subproblems.

x = {8.464101615, 1.535898385}

Step-by-step explanation:

x^2-10x+13=0

Simplifying

x2 + -10x + 13 = 0

Reorder the terms:

13 + -10x + x2 = 0

Solving

13 + -10x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-13' to each side of the equation.

13 + -10x + -13 + x2 = 0 + -13

Reorder the terms:

13 + -13 + -10x + x2 = 0 + -13

Combine like terms: 13 + -13 = 0

0 + -10x + x2 = 0 + -13

-10x + x2 = 0 + -13

Combine like terms: 0 + -13 = -13

-10x + x2 = -13

The x term is -10x. Take half its coefficient (-5).

Square it (25) and add it to both sides.

Add '25' to each side of the equation.

-10x + 25 + x2 = -13 + 25

Reorder the terms:

25 + -10x + x2 = -13 + 25

Combine like terms: -13 + 25 = 12

25 + -10x + x2 = 12

Factor a perfect square on the left side:

(x + -5)(x + -5) = 12

Calculate the square root of the right side: 3.464101615

Break this problem into two subproblems by setting

(x + -5) equal to 3.464101615 and -3.464101615.

6 0

2 years ago

The average distance from Venus to the Sun is 108,200,000 kilometers. Which of the following is the number expressed in scie

NISA [10]

Option C

ANSWER:

The scientific notation of 108200000 is $1.082 \times 10^{8}$ So the correct option is c.

SOLUTION:

Given,the average distance from Venus to the Sun is 108,200,000 kilometers.

We need to find the above given distance in the scientific notation.

Scientific notation is nothing but writing the large numbers as product of ten power something so that we can reduce space required to write that number.

Now, 108200000 can be written in scientific notation as:

= 10820000 x 10

$=1082000 \times 10^{2}$

$=108200 \times 10^{3}$

$=10820 \times 10^{4}$

$=1082 \times 10^{5}$

$=108.2 \times 10^{6}$

$=10.82 \times 10^{7}$

$=1.082 \times 10^{8}$

Hence the scientific notation of 108200000 is $1.082 \times 10^{8}$ So the correct option is c.

4 0

2 years ago

Please help.............

hodyreva [135]

Answer:

The answer is 4

8 0

2 years ago

Read 2 more answers

B&B inc. has ordered machine parts and recieves a charge of $15 for shipping and handeling plus $20 per part. Write an equat

Vilka [71]

15 + 20p = c ( this is the answer )
fifteen plus twenty times the number of parts equals the total cost.

5 0

2 years ago

Here is a circle and a scaled copy of the circle with a scale factor of `2`.

3241004551 [841]

Answer:

So we know that C= 2×pi×r
Say the r of the first circle is 1 then C= 2pi
Now its dilated by a scale factor of 2 so the r=2, so the C=4pi
We notice the circumference doubles.

5 0

2 years ago