Answer:
BD = 4.99 units
Step-by-step explanation:
Consider the triangle ABD only.
The angle formed is 31 degrees which occurs between two sides that are AD and BC.
We know that for a right angled triangle, the angle can always be taken as an angle between hypotenuse and base.
Thus, The perpendicular sides is then 3 units, where base is BD and Hypotenuse is AD
Using formula for tanθ
tanθ = Perpendicular/Base
tan31 = 3/BD
0.601 = 3/BD
BD = 3/0.601
BD = 4.99 units
9x - 2y = 11 ... (i)
5x - 2y = 15 ... (ii)
Subtracting equation (ii) from (i) we get;
4x + 0 = -4
4x=-4 , x = -1
Replacing x = -1 in equation (i) we get;
9(-1) - 2y = 11
-9 - 2y = 11
-2y = 20
y = 20 ÷ -2 = -10
The solution to the system of equations is (-1,-10).
Answer:
0.6
Step-by-step explanation:
Given: Mean= $750
Standard deviation= $60
First, lets find out z-score of the interval between $624 and $768.
z score= 
z score= 
∴ z score for $624 is -2.1
Now, finding z score for $768
Z score= 
∴ z score for $768 is 0.3
As per the z score table, the value for -2.1 is 0.0179 and for 0.3 is 0.6179
Now, subtracting the value to get proportion
∴ There are 0.6 proportion of laptops are in the range of $624 and $768
Answer:
The answer is B.) The diameter of the fir tree when planted and 20 inches
Step-by-step explanation:
The y-intercept is the initial diameter of the fir tree (10 inches). At the end of 50 years, the tree's diameter is 30 inches. Therefore, 30 − 10 = 20 inches of growth occurred over the 50 year period. The diameter of the fir tree when planted. The fir tree's diameter was 10 inches when it was planted.
