Answer:
17
Step-by-step explanation:
11+14÷2-1
11+7-1
18-1
17
Answer:
x = 10
I used the Interior Angles of a Triangle Rule --The sum of all 3 interior angles in a triangle is always 180°.
(3x + 28) + (5x - 18) + 90° = 180°
Now i can get rid of the parentheses and combine like terms.
3x + 5x + 28 - 18 + 90 = 180
8x + 10 + 90 = 180
8x + 100 = 180
Then i subtract 100 from both sides to isolate x.
8x + 100 - 100 = 180 - 100
8x = 80
Then, i divide both sides by 8 to find x.
8x ÷ 8 = 80 ÷ 8
x = 10
Answer:
.
Step-by-step explanation:
Assume that the run of this rafter is level. Then the height of the ridge (the line with a question mark next to it in the diagram) should be perpendicular to the line marked with 
. The three labelled lines in this diagram will form a right triangle.
- The line marked as
will be the hypotenuse of this right triangle. - The line marked as
will be one of the triangle's legs. - The line representing the height of the ridge (the one with the question mark) will be the other leg of this right triangle.
Hence, the height of this ridge can be found with the Pythagorean Theorem. By the Pythagorean Theorem:
.
In this particular right triangle:
.
.
Therefore, the height of this ridge would be 
. (Note the unit.)
Answer:
975 tickets
Step-by-step explanation:
1200 + 750 =1950/8 = 975
For
(x-h)^2=4p(y-k)
vertex is (h,k)
distance from vertex to directix=p=distance from vertex to focus
|4p|=focal width
remember, focus is on the side of the parabola where it opens and directix is at the back
when p is negative, it opens down
when p is positive, it opens up
look at equation
-1/40(x-0)^2=(y-0)
times -40 to both sides
(x-0)^2=-40(y-0)
(x-0)^2=4(-10)(y-0)
vertex=(0,0)
p=-10,it's negative so it opens down
focus is 10 units below vertex (y direction)
focus=(0,-10)
diretix is 10 above
directix is y=10
focal width=|4p|=|4(-10)|=|-40|=40
vertex=(0,0)
focus=(0,-10)
directix is y=10
focal width=40 units
