Answer:

Step-by-step explanation:
In relation to the given angle, we are given the triangle's opposite side and hypotenuse. Therefore, we use the sine function to set up a proportion and solve for the opposite side:





Therefore, the length of the opposite side is about 7.8 units
Answer:
2
Step-by-step explanation:
2x is the slope which is just 2
1/√2
Step-by-step explanation:
Imagine a right-angled triangle, for e.g. Triangle ABC,
Where
B = 90°
Remember your Toa Cah Soh.
sin 45° = opposite / hypotenuse
If theta = 45°
Angles A and C = 45° (Sum of angles in a triangle equal = 180°)
Since theta are the same, we can also deduce that the length AB and BC are the same.
Take for example AB = BC = 1 = opposite
By the Pythagorean theorem,
AB² + BC² = AC²
1² + 1² = AC²
2 = AC²
AC = √2 = hypotenuse
Therefore:
sin 45° = opposite / hypotenuse
sin 45° = 1/√2
Missing Part of Question
Juice that is opened. It is known that the annual profits earned by health-drink franchises has a population standard deviation of $8,700
........
Answer:
z = 1.157
Step-by-step explanation:
Given
Annual profit as calculated = $90,300.
H0: μ = 89,000
Ha: μ > 89,000
σ = 8700
n = 60
Calculate the test statistic (z) that corresponds to the sample and hypotheses.
Test statistic (z) is calculated by
z = (x - μ)/(σ/√n)
Where x = 90,300
μ = 89,000
σ = 8700
n = 60
z = (90,300 - 89,000)/(8700/√60)
z = 1.157443298866584
z = 1.157 ----- Approximated
Answer:
Did they give you a graph??