Answer:
144cm^3
Step-by-step explanation:
A=1/2bh = 1/2 (6)(8)
=24
v=A×H=(24)(6)
=144cm^3
Answer:
Step-by-step explanation:
Ashton estimates the square root of 72 in the following way:
√72=
2√36=
2×6=12
a) Explain why his reasoning is incorrect
This is incorrect because
is the correct answer but he has missed the square root term on 2.
or can be written as:
b) Estimate the square root of 72 to the nearest tenth without using your calculator. Show your work.
Find the factors of 72 we get
Now, we will combine 2 terms if the are same so,
Answer:
f(0) =4
f(6) =8
Step-by-step explanation:
f(0) = ?
We know 0 is less than 5 so we use the first part of the step function
f(0) = 0+4
= 4
f(6) = ?
6 is between 5 and 7 so we use the second part of the step function
f(6) =8
Rearrange x²+y²-4x+6y=-11 I'll tell you an easy way. take the coefficient of x and divide it by -2 and the coefficient of y and divide it by -2 so -4 ÷-2 = 2 6÷-2= -3 (2,-3) is the center of the circle to know the radius √2² + -3² + -11 =√2 The Radius equals √2
REQUIRED:
Round to 3 decimal placed the value of the irrational number e.
Step-by-step solution/explanation;
The letter e in mathematics is also known as the Eular's number and is a mathematical constant used in many calculations especially natural logarithms of numbers.
The value of the Eular's number is approximately;

It can continue till infinity, however approximations of this number is always used to avoid unnecessary complications.
Therefore, rounded to 3 decimal places, the value of e is now;
ANSWER:

Note that we take 3 digits aftre the decimal and then if the fourth digit after the decimal is 5 or greater than 5, we make it 1 and add that 1 to the third digit after the decimal. Otherwise we simply make it zero and cancel it along with all other digits after it.
The digit that follows 8 (third digit) is less than 5, therefore, we write it off along with all other digits after it, and we are left with the decimal point and then ...718.
Option C is the correct answer.