Based on the diagram above, a student determined the hypotenuse of the triangle to be 6√3 Determine if the student's answer is c
orrect. If it is not correct, find the correct length.
1 answer:
Answer:
The student answer is wrong. The correct length of the hypotenuse is 12
Step-by-step explanation:
The question is incomplete without diagram. Find the diagram attached below.
The longest side of the right angled triangle is the hypotenuse.
The side facing the angle 30° is the opposite side of the triangle.
To find the hypotenuse, we will use the SOH CAH TOA method in trigonometry identity.
According to SOH:
Sin30° = Opposite/Hypoenuse
Sin30° = 6/Hypotenuse
Hypotenuse = 6/sin30°
Hypotenuse = 6/0.5
Hypotenuse = 6×2
Hypotenuse = 12
The student answer is wrong. The correct length of the hypotenuse is 12
You might be interested in
Given:
The function for the total lodging cost c (in dollars) for a stay at a vacation destination of n nights is
Budget = $900
To find:
The number of nights you can stay at you vacation destination.
Solution:
Since, budget is $900, therefore, the cost must be less than or equal to $900.
Divide both sides by 180.
Number of nights must be a whole number. So, greatest whole value of n is 3.
Therefore, you can stay 3 nights, i.e., n=3.
Answer:
Exponential decay function; -0.94%
Step-by-step explanation:
We are given an exponential function and we are supposed to find whether the given function increases or decreases and also the percentage of increase or decrease.
Th given function is f(x) = 2060
Here x denotes the number of years.
At the start the value was 2060. In the next year it was multiplied by 0.9906.
This means that the value becomes 0.9906 times after each year.
Hence the value decreases by 0.0094 times its original value.
Converting to percentage it becomes 0.94% decrease after each year.