9514 1404 393
Answer:
- (2x-10) +x +(x+10) = 180
- x = 45
- (2x-10)° = 80°
- (x+10)° = 55°
- x° = 45°
Step-by-step explanation:
The equation is an expression of the fact that <em>the sum of the angles in a triangle is 180°.</em>
(2x -10)° +x° +(x +10)° = 180°
For the purposes of the answer box, I'd leave off the degree symbol:
(2x -10) +x +(x +10) = 180
__
This simplifies to ...
4x = 180
x = 45
Then the angles (CW from top) are ...
(2·45 -10) = 80°
(45 +10)° = 55°
(45)° = 45°
Refer to the diagram shown below. It shows a vertical cross-section of the paraboloid through its axis of symmetry.
Let the vertex of the parabola be at the origin. Then its equation is of the form
y = bx²
Because the parabola passes through (18,8), therefore
8 = b(18²)
b = 0.02469
The parabola is y = 0.02469x².
The receiver should be placed at the focal point of the paraboloid for optimal reception.
The y-coordinate of the focus is
a = 1/(4b) = 1/0.098765 = 10.125 in
Answer: The receiver is located at 10.125 inches from the vertex.
You can read it of the graph which is (1,3) or also calculate it with vectors:
calculate the vector CD:
(5-(-3),2-4)=(8,-2)
to calculate the midpoint you need half of the vector length:
(8,-2)/2=(4,-1)
add the vector to C:
(-3,4)+(4,-1)=(1,3)=midpoint of CD
so it's the third option
Step-by-step explanation:
sorry for too many pictures and I'm sorry for messing up other question numbers but that's that
hope u get it in time
13
o
F
Explanation:If
x is the temperature six hours ago, then20=2⋅x−6
2x=26
x=13