Answer: w=12, y=6√3
Step-by-step explanation:
Looking at the figure, we can split the triangle into 2 separate triangles. One on the left and one on the left. The triangle on the right is a 30-60-90 triangle. For this triangle, the hypotenuse is 2x in length. This is directly opposite of the right angle. The leg opposite to 30° is x in length. The leg opposite 60° is x√3 in length. Once you know the length of one side, you can plug in x to find the length of the other legs.
In this case, w and y are located on the same 30-60-90 triangle. Normally we would focus on that triangle to find our values, but in this instance, we don't have any values. We have to use the left triangle to find the leg that both triangles share.
The left triangle is a 45-45-90 triangle. For this triangle, the legs opposite of 45° is x in length. The hypotenuse is x√2. Since we know the hypotenuse, we can use it to find x.
x√2=8
x=8/√2
x=5.7 or 6 [Let's use 6 so that it is easier to work with a whole number]
Now that we know x, we can find w and y. Going back to the right triangle, we know the hypotenuse is 2x. We plug in 6 to find the length.
w=2x
w=2(6)
w=12
We know the leg opposite of 60° is x√3. We can plug in x.
y=6√3
Answer: 55
Step-by-step explanation:
just add 41.5 on 13.5 and that is x
Answer:
The correct answer is A. A fairly strong positive correlation
Step-by-step explanation:
Scatter Plot : A graph of plotted points that show the relationship between two sets of data.
Now, the points of the scatter plot are going up this shows the increase in the data points so we can say the correlation is positive.
Now, the direction of the scatter plots is to the right. So, we can say that the correlation is strong correlation.
Hence, the correct answer is A. A fairly strong positive correlation
Answer: 7/21 for blue and 6/21 for yellow. so 7/14
Step-by-step explanation:
Both 15 and 20 can be divided evenly by 5, so 5 is the greatest common monomial: 5(3x^2 + 4x) or 5x(3x + 4)
