Answer:
The missing measurement is 9 miles
Step-by-step explanation:
we know that
The Area of a parallelogram is equal to
where
b is the length of any base
h is the corresponding altitude
The altitude (or height) of a parallelogram is the perpendicular distance from the base to the opposite side (which may have to be extended).
In the figure, the altitude corresponding to the base is 4 miles
substitute
Solve for b
Divide by 4 both sides
therefore
The missing measurement is 9 miles
Considering the angle a by cosine rule
11^2 =7 ^2 +15^2 - 2(7)(15)cos(a)
When you do the maths,
Cos(a) =153/210 =0.729
a= cos inverse of 0.729
a=43 degrees
Considering angle b
7^2=15^2 +11^2 -2(11)(15) cos(b)
This will result in cos(b) =297/330=0.9
b= cos inverse of 0.9 = 25.8 degrees
Considering angle c
15^2=7^2 +11^2 - 2(11)(7) cos(c)
Cos(c) will be = -55/154 = -0.357
c= cos inverse of -0.357=110.9
Comparing the angles a,b and c,
C is the largest size in the triangle with an angle of 110.9 degrees
Am I right please ??
Answer:
You would click at (0,-7)
Step-by-step explanation:
Definition of the minimum point:
"The minimum value of a function is the place where the graph has a vertex at its lowest point. In the real world, you can use the minimum value of a quadratic function to determine minimum cost or area."
Although this is not a quadratic, it still has a minimum point.
The minimum point here would be at it's lowest point
The minimum/lowest point is (0,-7)
Answer:
The population of bacteria is increasing.
Step-by-step explanation:
The function modelling the population of bacteria in the given culture is an exponential function; We have a base 1.03 and an exponent t. An exponential function is said to be increasing if the base is strictly greater than 1, this implies that the population of the bacteria is increasing as t increases from 0 to infinity.
The answer too your question is 65 it is equal to the square root of 65
