Answer:
see the attachments
Step-by-step explanation:
Actually, the given description fits 3 different triangles. They differ in the size of the included angle, hence the length of the remaining side. Possibilities are ...
- included angle: 91.5°; third side: 20.9
- included angle: 59.5°; third side: 14.6
- included angle: 20.5°; third side: 6.0
_____
When the non-included angle is opposite the long side, there is only one solution to the triangle. (See the first attachment.)
When the non-included angle is opposite the shorter of the given sides, there are generally two possible solutions. One of these has an acute angle opposite the long side; the other has an obtuse angle opposite the long side.
In any event, the Law of Sines is used to solve the triangle. First, the angle opposite the other given side is found; then the remaining angle and the side opposite it.
Suppose the given sides are "a" and "b", and the given angle is A. Then the Law of Sines tells you ...
B = arcsin(sin(A)·b/a) . . . . . possibly 2 values
From which ...
C = 180° -A -B
which allows finding ...
c = a·sin(C)/sin(A)
Answer:
An arithmetic sequence has a constant difference between each term. ... A geometric sequence has a constant ratio (multiplier) between each term. An example is: 2,4,8,16,32,… So to find the next term in the sequence we would multiply the previous term by 2.
Step-by-step explanation:
Answer:
Option B) 19.1 years
Step-by-step explanation:
We are given the following in the question:
Sample size, n = 9
Sample mean, = 19.1 years
Alpha, α = 0.05
Population standard deviation, σ = 1.5 years
We have to approximate best point estimate for population mean.
The best point estimate for population mean is the sample mean.
Thus, we can write
Thus, the correct answer is
Option B) 19.1 years
This is how i solved this:
9+7=1616 divided by 12 = 1.3 (repeater)1.3 (repeater) = 1 3/10Addison should put 1 3/10 pounds of salad in each container.
f(x)=2x^2+0x-5
Find the vertex
0/4=0=x
Input x into the equation to find y or f(x)
0+0-5=f(x)
(0,-5) = Vertex
Now find a random x coordinate to input into the equation.
Let's do 4.
32+0-5=f(x)=27
It may not look like a parabola due to it being uneven.