Answer:
4+2=6
15*6=90
9+9=18
18*3=54
90+54=144
Step-by-step explanation:
you have to add both the W and H together and then multiply them by the number of windows (4+2=6 , 16*6=90)
and the same with the garage doors (9+9=18, 18*3=54) then you take you two totals from multiplying and add them together (90+54=144)
What's the smallest six-digit whole number possible?
It is 100000
try counting, six digits, right? if you even take 1 off from it, it's no longer six digits, so it is the smallest six-digit whole number possible.
what's the greatest 4-digit number?
It should be 9999
try adding 1 to it, it becomes five-digit number.
So, 9999 is the greatest 4-digit whole number possible.
To get a difference, subtraction.
100000 - 9999 = 90001
Just as a tip, for six digit number, 000000 does not work, as it is same as 0
Answer:
An angle bisector divides the angle measure into two equal parts. In triangle ABC, B is the point at which the angle lies.
Step-by-step explanation:
Picture segment BD drawn from point B of tri.ABC where it connects to segment AC, creating point D. Now picture E drawn on the newly created segment DC where it connects to point B and down to point C. Here's a drawing to better show this:
It's bisecting the bisected angle ABC. So, 140/2 = 70, and 70/2 = 35.
Answer:
f(x) = 8x⁴-8x²+1
Step-by-step explanation:
I will assume that f(cos θ) = cos(4θ). Otherwise, f would not be a polynomial. lets divide cos(4θ) in an expression depending on cos(θ). We use this properties
- cos(2a) = cos²(a) - sin²(b)
- sin(2a) = 2sin(a)cos(a)
- sin²(a) = 1-cos²(a)
cos(4θ) = cos(2 * (2θ) ) = cos²(2θ) - sin²(2θ) = [ cos²(θ)-sin²(θ) ]² - [2cos(θ)sin(θ)]² = [cos²(θ) - ( 1 - cos²(θ) ) ]² - 4cos²(θ)sin²(θ) = [2cos²(θ)-1]² - 4cos²(θ) (1 - cos²(θ) ) = 4 cos⁴(θ) - 4 cos²(θ) + 1 - 4 cos²(θ) + 4 cos⁴(θ) = 8cos⁴(θ) - 8 cos²(θ) + 1
Thus f(cos(θ)) = 8 cos⁴(θ) - 8 cos²(θ) + 1, and, as a result
f(x) = 8x⁴-8x²+1.
Answer:
c=256
Step-by-step explanation:
m²+32m+c=m²+32m+(32/2)²-(32/2)²+c
=m²+32m+16²-16²+c
=(m+16)²-256+c
for it to be a complete square -256+c=0
or c=256
