Answer:
c ≈ 6.08 m
Step-by-step explanation:
Your question is how to solve for a missing side length of a triangle when given 2 sides length and an angle. The side length can be solved using the cosine rule . We use cosine rule to find the length of a side of a triangle when given two sides and an included angle.
The cosine rule formula for finding a side length are as follows
c² = a² + b² - 2ab cosC
b² = a² + c² - 2ac cosB
c² = a² + b² - 2ab cosC
Using cosine rule
c² = 4² + 3² - 2 × 4 × 3 cos 120°
c² = 16 + 9 - 24 cos 120°
c² = 25 - 24 (-0.5)
c² = 25 + 12
c² = 37
square root both sides
c = √37
c = 6.0827625303
c ≈ 6.08 m
X. /. Y
—————
2. /. 8
4. /. 20
6. /. 32
Answer:
a. n=4148
b. n=3909
c. The sample size is smaller if a known proportion from prior study is used. The difference in sample sizes is 239
Step-by-step explanation:
a. For sample where no preliminary estimate is given, the minimum sample size is calculated using the formula:
Where:
Margin of error
is the assumed proportion
#Let p=0.5, substitute in the formula to solve for n:
Hence, the minimum sample size is 4148
b. If given a preliminary estimate p=0.38, we use the same formula but substitute p with the given value:
Hence, the minimum sample size is 3909
c. Comparing the sample sizes from a and b:
Hence, the actual sample size is smaller for a known proportion from prior a prior study.
Answer:6x+36, 5x+5, 10x-9
Step-by-step explanation:
Answer:
f(x)=4x(x-3)
Vertex=3/2, -9
Step-by-step explanation:
First, factorize it.
That is equal to 4x(x-3)
Therefore, x intercepts are 0 and 3, as at least one of them need to be 0.
To find the vertex, first find the x of the vertex, which you can do by finding the average of the x intercepts, so it will be 3/2
Then, find the y, by making x in the original equation equal 3/2. This will give us -9 as the y.
The vertex will by 3/2, -9
