Answer:
The equation for finding the hypotenuse is:
c^2+c^2=h^2
For example, in the first exercise:
8^2+10^2=164^2
For clearing the equation, find out the root of 164=
12.8
Hypotenuse of the first triangle is 12.8!
Let me help you with the next, if you still dont get it:
8^2+13^2=233^2
Root of 233: 15.2
Hypotenuse of second triangle is 15.2!
Answer:
Hyperbola.
Step-by-step explanation:
We start from the function:
We may get the traces if we cut the surface in planes x=k. This is equivalent to replace x for k:
The last equation is the equation of an hyperbola, which varies its characteristics depending on K (the plane cut).
Answer:
Statements 1, 4, 5, 6
Step-by-step explanation:
None of the residuals is zero which means no point lies on the line
The residuals are all between -1 and 1, so are quite small
Making the regression line a good fit
Answer:
Radius = 8 units
Length of arc AB = 8.37758 units
Step-by-step explanation:
The sector COD is 1/4 the size of the circle.
the vertex angle is 90° and a circle has 360° at the center.
So the area of sector COD/area of Circle = 90/360 = 1/4
This means the area of the circle is 4 * 50.24 = 200.96 square units
Area of circle = πr² where r is the radius
πr² = 200.96
r² = 200.96/ π = 63.9676 ≅ 64
Therefore r = √64 = 8 units
The circumference of the circle is 2πr = 16π units
arc AB has a vertex angle of 30°.
30°/360° = 1/6
So the length of the arc is 1/6th the circumference of the circle =
(1/6) * 16π = 2.67π units or 8.37758 units
Answer:
6⋅6⋅6⋅6
Explanation: The exponent refers to the number of times a number is multiplied by itself. 6^4 represents that 6 is being multiplied 4 times.
Base ⇒ 6
Exponent ⇒ 4
