Answer:
C. The hypotenuse measures twice the distance of the shorter leg.
B. The longer leg is √3 times the length of the shorter leg.
Step-by-step explanation:
A 30-60-90 triangle is considered a right triangle. Triangles containing a right angle are classified as right triangles. Only one right angle can exist in such a triangle. The representation of this case is illustrated below. Let’s clarify why the proposed statements are valid:
The hypotenuse of a right triangle is always opposite to the right angle. If we designate 
as the shorter leg, the sine law affirms that the hypotenuse is:
This indicates that the hypotenuse is double the length of the shorter leg
The longer leg, which we can call 
, can be determined with the Pythagorean Theorem:
Thus, it is accurate that the longer leg is √3 times longer than the shorter leg.
The highest 5% of scores corresponds to the 95th percentile, meaning the cutoff score
is defined as
When transformed into the standard normal distribution,
A cumulative probability of 95% corresponds to a z-score of approximately
, indicating that the cutoff score is likely around
Response:
Dimensions of the rectangular fence:
x = 14 ft
w = 7 ft
A = 98 ft²
Detailed explanation:
Dimensions of the rectangular fence:
x = length, and w = width
Then x = 2*w ⇒ w = x/2
Perimeter is
p = 2*x + 2*w
p = 2*x + 2* x/2
p = 2*x + x
3*x = 42
x = 14 ft and w = 14/2 ⇒ w = 7 ft
The provided function is:
P = 0.04x + 0.05y + 0.06(16-x-y)
To determine the function's value at each vertex, simply plug in the respective x and y coordinates into the equation to find the value of P as shown below:
1- For (8,1):
P = 0.04x + 0.05y + 0.06(16-x-y)
P = 0.04(8) + 0.05(1) + 0.06(16-8-1)
P = 0.79
2- For (14,1):
P = 0.04x + 0.05y + 0.06(16-x-y)
P = 0.04(14) + 0.05(1) + 0.06(16-14-1)
P = 0.67
3- For (3,6):
P = 0.04x + 0.05y + 0.06(16-x-y)
P = 0.04(3) + 0.05(6) + 0.06(16-3-6)
P = 0.84
4- For (5,10):
P = 0.04x + 0.05y + 0.06(16-x-y)
P = 0.04(5) + 0.05(10) + 0.06(16-5-10)
P = 0.76
I hope this is useful:)
you are right. it is skewed to the left because the peak has more dots on that side.
