28. Surface Area
This is some sort of house-like model so for every face we see there's a congruent one that's hidden. We'll just double the area we can see.
Area = 2 × ( [14×9 rectangle] + 2[15×9 rectangle]+[triangle base 14, height 6] )
Let's separate the area into the area of the front and the sides; the front will help us for problem 29.
Front = [14×9 rectangle] + [triangle base 14, height 6]
= 14×9 + (1/2)(14)(6) = 14(9 + 3) = 14×12 = 168 sq ft
OneSide = 2[15×9 rectangle] = 30×9 = 270 sq ft
Surface Area = 2(168 + 270) = 876 sq ft
Answer: D) 876 sq ft
29. Volume of an extruded shape is area of the base, here the front, times the height, here 15 feet.
Volume = 168 * 15 = 2520 cubic ft
Answer: D) 2520 cubic ft
We know all the side lengths so can use law of cosines. a=90, b=55, and c=50.
2500=8100+3025-2(90)(55)cos(C)
cos(C)=.8712
C=arccos(.8712)=29.4 degrees
Basically john made x baskets
jaleel made 3 times x or 3x baskets
so if Jaleel to John then
3x:1x=3:1
if John to Jaleel then
1x:3x=1:3
the ratio is 1:3 or 3:1 depending on who is on which side
Answer: See explanation
Step-by-step explanation:
The response variable is the variable that the researcher is interested in. It is what the experiment really focuses on.
An explanatory variable is the variable that is being manipulated by the researcher and it explains the variations that may occur to the response variable.
It should also be noted that it is important to distinguish between the response variable and the explanatory variable in a linear regression.
