Answer:
About 65.86 degrees
Step-by-step explanation:
A supplementary angle means that the angles add to 180 degrees.
Angle E + Angle F = 180 degrees.
You can then plug in the given equations for E and F.
2x + 5 + 5x - 38 = 180
Combine like terms:
2x + 5x = 7x
5 - 38 = -33
New equation: 7x-33=180
Remove the -33 from the left side of the equation by adding 33 to each side
7x-33+33 = 180+33 ---> 7x = 213
Divide by 7 on each side
7x/7 = 213/7 ---> x = about 30.43
You can then plug this into your equation for E and solve
2(30.43) + 5 = 65.86 Degrees
Hmm, y=1 is directix
means it opens up or down
we will be using
(x-h)²=4p(y-k) where (h,k) is vertex and p is the distnace from focus to vertex and from vertex to direcitx
focus is (-1,-3)
find distance between y values because directix is a y value
midpoint is the vertex
from -3 to 1 is 2 units
since focus is below directix, it opens down, and p is negative
it is 2 units above focus
so at (-1,-1)
and p=-2
(x-(-1))²=4(-2)(y-(-1))
(x+1)²=-8(y+1) is da equation
The first step to find how many 1/4 inch segments are in 1 and 1/2 inches is to convert 1 and 1/2 into an improper fraction.
To do this, convert 1 into a fraction with the same denominator as 1/2, which is 2.
1 = 1/1
1/1 = 2/2
Now add 2/2, which is the same as 1, to 1/2.
2/2 + 1/2 = 3/2
So 1 and 1/2 = 3/2
Now multiply both the numerator and denominator by 2 so you can see how many times 1/4 goes into the fraction equivalent to 1 and 1/2.
3/2 = 6/4
1/4 goes into 6/4 6 times, since the numerator of 1 goes into the numerator of 6 6 times.
So the answer is that 6 1/4 inch segments are in 1 and 1/2 inches.
Answer:
The y intercept is (0,-3)
Answer:
These two values show the range of maximum and the minimum possible approximation of the amount of atoms in the universe.
10000 of the small universe will fit into the big universe.
Step-by-step explanation:
These values are a representative of the possible number of atoms in the universe. They both give a range of possible numbers, within which the number of atoms in the universe can be assigned a a particular value. The range is used to indicate that the value cannot be be exactly determined to be a particular exact number.
The two numbers given are
10^82, and 10^78
If the the larger number of 10^82 is correct, we'll have
10^82 ÷ 10^78
==> 10^(82 -78) = 10000 of the small universe will fit into the larger universe.
