Answer:
b) 20
Step-by-step explanation:
Here m∠C = 90, It is a right triangle.
So we can use the Pythagorean theorem.
b = √(c^2 - a^2)
Given: a =21 and c = 29. Now let's plug in these values in the above formula, we get
b = √(29)^2 - (21)^2
b = √(841 - 441)
b = √400
b = 20
Therefore, the side length b = 20.
Hope this will helpful.
Thank you.
Answer:
The regression line is not a good model because there is a pattern in the residual plot.
Step-by-step explanation:
Given is a residual plot for a data set
The residual plot shows scatter plot of x and y
The plotting of points show that there is not likely to be a linear trend of relation between the two variables. It is more likely to be parabolic or exponential.
Hence the regression line cannot be a good model as they do not approach 0.
Also there is not a pattern of linear trend.
D) The regression line is not a good model because there is a pattern in the residual plot.
According to the triangle sum theorem, all the angles in a triangle must add up to 180 degrees. If we know one angle is already 90, we do 180-90=90. The other 2 angles must add up to 90, exactly.
Answer:
The maximum number of pounds of potato salad that Charlie can buy is 0.375
Step-by-step explanation:
see the attached figure to better understand the problem
Let
a ----> the cost of one tuna sandwich
b ----> the cost of a bottle of apple juice
c ----> the cost per pound of potato salad
x ----> pounds of potato salad
we have



we know that
He wants to buy a tuna sandwich, a bottle of apple juice, and x pounds of potato salad and can spend up to $8
The inequality that represent this situation is

substitute the given values

Solve for x
Combine like terms

Subtract 6.50 both sides


Divide by 4 both sides


therefore
The maximum number of pounds of potato salad that Charlie can buy is 0.375
The answer is 1 in the series