MATHEMATICS COLLEGE

Find the volume of the cone below.

Answers

Answer 1

Answer:

Answer:

$V =(1)/(3) \pi r^2 h$

For this case we know that the radius is r=7cm and the height is h =11cm. And replacing we got:

$V=(1)/(3) \pi (7cm)^2 (11cm)= (1)/(3) \pi (49cm^2) (11 cm)=(539)/(3) \pi cm^3$

And the best option would be:

$V = (539)/(3) \pi cm^3$

Step-by-step explanation:

For this case we know that the volume of the cone is given by:

$V =(1)/(3) \pi r^2 h$

For this case we know that the radius is r=7cm and the height is h =11cm. And replacing we got:

$V=(1)/(3) \pi (7cm)^2 (11cm)= (1)/(3) \pi (49cm^2) (11 cm)=(539)/(3) \pi cm^3$

And the best option would be:

$V = (539)/(3) \pi cm^3$

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I am a 3-digit number. If you switch my first and last digits, I decrease by 297. Also, mymiddle digit is 6 less than my first digit, which is 2 less than 2 times my last digit. What
number am I?

Answers

Answer:

Step-by-step explanation:

Let the 3-digit number is abc = 100a + 10b + c.

We have:

100a + 10b + c - 100c - 10b - a = 297
b = a - 6
a = 2c - 2

Simplify the first equation:

99a - 99c = 297
a - c = 3
a = c + 3

Solve for c by substitution:

2c - 2 = c + 3
2c - c = 3 + 2
c = 5

Find a:

a = 3 + 5 = 8

Find b:

b = 8 - 2 = 6

The number is:

Type 900 words in 15 min how many words permin

Answers

Answer:

60 wpm

Step-by-step explanation:

900/15

Answer:

words is the answer.

Step-by-step explanation:

In this equation what do i have to change to make x equal 0 instead of 1/4
2√x+4-2=3

Answers

To solve for x:
- add 2 to both sides
2/x+4=5
- subtract 4 from both sides
2/x=1
- divide both sides by 2
/x= 1/2
- square both sides
x = 1/4

Apply the laws of exponents, calculate the result and express the result in scientific notation, and as a decimal: (8.1*10^-4)^2Format your answer like this: The result of the scientific notation is __*10^--. The result as a decimal is _.

Answers

Answer:

the result in scientific notation is 6.561×10⁻⁷
the result as a decimal is 0.000 000 656 1

Explanation:

The rules of exponents say the exponent outside parentheses applies to each factor inside parentheses.

... (8.1*10^-4)^2 = 8.1^2 × (10^-4)^2

... = 65.61 × 10^-8

... = 6.561 × 10^-7 . . . . adjust to scientific notation with one digit left of the decimal point

The exponent of -7 means the decimal point in the decimal number is 7 places to the left of where it is in scientific notation. That is ...

... 6.561 × 10^-7 = 0.0000006561

What does -7(x+7)=-56

Answers

Answer:

x=1

Step-by-step explanation:

Divide both sides by the numeric factor on the left side, then solve.

Answer: x = 1

The way you find x is by dividing both sides of the equation by -7

A ball is thrown downward from the top of a building with an initial speed of 25 m/s. It strikes the ground after 2.0 s. How high is the building, assuming negligible air resistance