Step-by-step explanation:
∆PQR similar to ∆ JKL
JK/KL= PQ/QR
6/12=3/QR
QR=3×2= 6
therefore, tan(R) = PQ/QR = 3/6=1/2
and, tan(J) = KL/JK =12/6=2


tan(J)=4.tan(R)
option D
If we were to view the ramp from its side, the profile would resemble a right triangle with a 90 degree angle where the sofa meets the floor.
In this case, the two legs of the right triangle are 55 inches and 28 inches, and we looking for the length of the hypotenuse.
We can use Pythagorean Theorem which states:

where a and b are the legs, and c is the hypotenuse.




c = 61.717 inches
To the nearest tenth, the answer is 61.7 inches.
Find the cube root of 125. ∛125 = 5. Each side length will be 5 inches.
Answer:

Step-by-step explanation:
Since the number of residents within five miles of each of your stores is asymmetrically distributed, the distribution of the sample means will be approximately normal with a mean of 25 thousand.
The standard deviation of the sample means is:


The z value is 
We plug in the values to get:

The area to the right of 1.87 is
.
The probability that the average number of residents within five miles of each store in a sample of 50 stores will be more than 27.8 thousand is 3.07%
See attachment.
The parent function of

is

The diagrams below show step by step transformation
As we can see from the graph

, the amplitude of the function is 3, period of

, phase shift of π and midline y=2