Answer:
Angle 4 and angle 5 also equal 180
Because angles 4 and 5 are supplementary angles (two angles that add to 180) and because 4 and 5 equal 180 that means that 5 equals 6. So 5 and 6 are congruence angels
Answer:
S(t) = 2 - 0.25*t
Step-by-step explanation:
A lake near the Arctic Circle is covered by a 2-meter-thick sheet of ice during the cold winter months.
When spring arrives, the warm air gradually melts the ice, causing its thickness to decrease at a constant rate.
S(t) denote the ice sheet's thickness S ( measured in meters) as a function of time (measured in weeks).
Therefore the equation formed will be linear.
The equation will be of the form y = mx + b
Here S(t) = mt + b
Here m is the slope which is the rate at which ice is melting.
Putting t = 0
S(t) = 2
Putting t = 3,
S(t) = 1.25
Therefore, m*0 + b = 2 or, b = 2
and 3m + b = 1.25
or, 3m = 1.25 - 2 = -0.75
or, t = -0.25
Hence, function's formula = S(t) = -0.25*t + 2
i.e. S(t) = 2 - 0.25*t
You have to know the coordinates of the center and the radius.
refer to this website for more information:
http://www.mathwarehouse.com/geometry/circle/equation-of-a-circle.php
Answer:
a = 13.8
(missing length of triangle = 13.8 meters)
Step-by-step explanation:
The side lengths of a triangle can be related using the Pythagorean Theorem;
a² + b² = c²
where
a = one side length
b = other side length
c = hypotenuse (long side --across from 90° angle)
So, by plugging our values into the Pythagorean Theorem, we can solve for a:
a = unknown
b = 18.4
c = 23
a² + b² = c²
a² + 18.4² = 23²
a² + 338.56 = 539
- 338.56 - 338.56 {subtract 338.56 from both sides to isolate a}
a² = 190.44
√a² = √190.44
a = 13.8
so, the missing length of the triangle is 13.8 m
hope this helps!!
