Answer:
Step-by-step explanation:
A man steps out of a plane at 4,000m of height above the ground.The point at which he jumps out of the plane would make a good reference point. However, if his acceleration is going to change as a result of him opening his parachute 2000m above the ground, a good reference point would be there. Keep in mind though, that his velocity at that instant would need to be known for it to be useful- otherwise the airplane reference point would be just as good with appropriate modeling....
Answer:
x=-3
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Answer:
36*sqrt(3)
Step-by-step explanation:
Remark
Use the Pythagorean theory to find the height. Use that height to find the area of the rectangle and the triangle Or
You can find the area of the trapezoid which requires only 1 step after you find the height.
Height
c = 8
b = 4
a = ?
a^2 + b^2 = c^2
a^2 + 4^2 = 8^2
a^2 + 16 = 64
a^2 = 64 - 16
a^2 = 48
a^2 = 16 * 3
sqrt(a^2) = sqrt(16*3)
a = 4 * sqrt(3)
That's the height
Trapezoid
b1 = 7
b2 = 7 + 4 = 11
h = 4*sqrt(3)
Area = (b1 + b2)*h / 2
Area = (7 + 11)* 4*sqrt(3)/2
Area = 18 * 2 sqrt(3)
Area = 36* sqrt(3)
The Guests are the independent variable(x) and the Pizzas are the dependent variable(y). The slope indicates that for every 5 guests that comes in that 2 pizzas are purchased. The scatter plot shows a postitve correlation as indicated by the upward trending line.
Answer:
x = 136°
Step-by-step explanation:
We can use a theorem to help us.
<em>Theorem: </em>
<em>The measure of an exterior angle of a triangle is equal to the sum of the measures of the remote interior angles.</em>
For exterior angle x, the remote interior angles are z and <CBD.
From the theorem, we get this equation.
x = z + m<CBD
We know z = 52°.
We need to find m<CBD.
Angles CBD and y are a linear pair. They are supplementary, so the sum of their measures is 180°. We are given y = 96°.
m<CBD + y = 180°
m<CBD + 96° = 180°
m<CBD = 84°
x = z + m<CBD
x = 52° + 84°
x = 136°
