Answer:
NO
Step-by-step explanation:
Look at the figure attached below, we know that the area of the cone is the sum of area of circle part and cone part of the figure.
to find the surface area of the cone, first measure the radius of the base and find the area of the circle part by formula
. Then measure the side (slant height) length of the cone part and find the area of the cone part by the formula
.
Now the surface area of the cone is circumference of the circle plus area of the cone part.
i.e. 
From the above discussion we concluded that surface area of the cone does not depend only on the circumference of the base but also we need side length of the cone part as well thus <em>all cones with a base circumference of 8 inches will </em><em>not </em><em>have the same surface area.</em>
<em />
Answer:
(4,-3)
Step-by-step explanation:
Easiest way to do this without any advanced methods is to use the answer choices to your advantage.
For a.) we have (1,1) meaning x = 1 and y = 1 if we get a 7 for the first equation and a -2 for the second equation then that is the correct answer.
Let x=1, y =1:
4(1)+3(1)=4+3=7 Correct so far.
1+2(1)=1+2=3 Incorrect since we should have got a -2 if this was the solution
Let (0,-1) x = 0, y = -1:
4(0) + 3(-1) = 0 -3 = - 3 Incorrect so we can stop there next answer choice.
Let (4,-3) x = 4 y = -3:
4(4)+3(-3)=16-9=7 Correct so far.
4+2(-3)=4-6=-2 Both are correct!
Therefore the solution (where the lines intersect) is (4,-3).
Polynomials are mathematical expressions involving variables raised with non-negative integers and coefficients. The polynomial whose factors are (a²-6) and (a²+4) is a⁴ - 2a² - 24.
<h3>What is a polynomial?</h3>
Polynomials are mathematical expressions involving variables raised with non-negative integers and coefficients(constants who are in multiplication with those variables) and constants with only operations of addition, subtraction, multiplication and non-negative exponentiation of variables involved.
Example: x²+3x+5 is a polynomial.
The polynomial whose factors are (a²-6) and (a²+4) is,
P(x) = (a²-6)(a²+4)
= a⁴ + 4a² - 6a² - 24
= a⁴ - 2a² - 24
Hence, The polynomial whose factors are (a²-6) and (a²+4) is a⁴ - 2a² - 24.
Learn more about Polynomials:
brainly.com/question/27343162
#SPJ1
<span>Scientific NotationDate: 09/16/97 at 00:42:42
From: Aubin
Subject: Scientific notation
How do you do this problem? I don't understand how you're supposed to
get the answer:
5x10 to the 3rd power = 5,000
5x10 to the -3rd power = -5,000
Is this correct?
<span>Date: 11/03/97 at 09:56:46
From: Doctor Pipe
Subject: Re: Scientific notation
Aubin,
The first part of what you wrote is correct; 5x10 to the 3rd power =
5,000. The second part is not correct.
Writing a negative exponent, such as 10^-3 (read that as ten to the
minus third power) is the same as writing 1/(10^3) (read that as one
over ten to the third power). Notice that the exponent is negative
when writing 10^-3 and positive when writing 1/(10^3) - yet the two
numbers are equal.
Remember that any number to the zeroeth power, say 10^0, is equal
to 1. 10^0 = 1; 5^0 = 1; 275^0 = 1.
Remember also that when multiplying two numbers written as
base^exponent, if the base in both numbers is equal then we add
together the exponents: 10^5 x 10^6
= 10^(5+6)
= 10^11.
If we have a number 10^5, what number do we multiply it by to get 1?
Well, 10^5 x 10^(-5)
= 10^(5 + (-5))
= 10^0
= 1.
So if 10^5 x 10^(-5) = 1
then 10^(-5) = 1 / 10^5
So, since 10^3 = 1,000 then 10^(-3) = 1/(10^3) = 1/1,000 = 0.001 .
It follows from this that:
5x10 to the -3rd power = 5 x 10^(-3) = 5 x 0.001 = 0.005 .
The reason for this can be seen by examining what numbers to the right
of the decimal point represent. You know what numbers to the left of
the decimal point represent: the units digit represents the numeral
times 10^0 (any number to the 0th power is 1), the tens digit
represents the numeral times 10^1, the hundreds digit represents the
numeral times 10^2, and so on.
Well, to the right of the decimal point, the tenths digit represents
the numeral times 10^-1, the hundredths digit represents the numeral
times 10^-2, the thousandths digit represents the numeral times 10^-3,
and so on.
It's important to understand exponents because exponents allow us to
extend the range of numbers that we can work with by allowing us to
easily write and work with very large and very small numbers. It's so
much easier to write:
10^23
then to write:
100,000,000,000,000,000,000,000
Or to write:
10^(-23)
instead of:
0.00000000000000000000001</span></span>