Answer:
the answer is 64.29% or just 64
the fraction form is 2/3
Step-by-step explanation:
Step-by-step explanation:
Here, f(x) is the given polynomial.
By remainder Theorem,
When divided by (3x-1),
f(1/3) = -3........(1)
When divided by (x+1),
f(-1) = -7.........(2)
<em>Another</em><em> </em><em>polynomial</em><em> </em><em>is</em><em> </em><em>3</em><em>x</em><em>²</em><em>+</em><em>2</em><em>x</em><em>-</em><em>1</em>
Solving,
3x²+2x-1
= 3x²+3x-x-1
=3x(x+1)-(x+1)
=(3x-1)(x+1)
So
f(x) = (3x-1)(x+1)Qx + (ax+b)
For f(-1),
-7 = -a+b
b= a-7
For f(1/3),
-3 = a/3+b
or, -3 = a/3+a-7
or, 4×3 = 4a
or a = 3
Also, b = 3-7 =-4
Hence, remainder is (3x-4)
Use Pythagorean's Theorem to find the length of x.
so
and
. We can simplify that radicand down into a perfect square times a prime number, and that is
. 4 is a perfect square that can be pulled out as a 2, so the length of x is
, the choice on the top right.
Answer:
32
Step-by-step explanation:
If one side is 2 feet and it has 4 sides then 4 times 2 = 8
8 times 4 = 32
Hope this helps
First, you have to find the area of the entire wall, including the window. The formula for the area of a trapezoid is:
A = (b1 + b2)/2 * h
b1 is the first base, b2 is the second base, A is the total area, and h is the height.
Plug in the numbers from the problem.
(13 + 10)/2 * 8
Simplify.
(23)/2*8
11.5*8 = 92
Now, to calculate the window's surface area, you use the formula for area of a circle.
A = 3.14*r^2
Plug in your number.
A = 3.14 * 2^2
Simplify.
A = 3.14 * 4
A = 12.56
Now, you subtract the area of the window from the total area of the wall.
92 - 12.56 = 79.44
79.44 feet
