Answer:
The response that are true are:
- linear function has a constant additive rate of change, while a nonlinear function does not.
Since in linear function the rate of change is always equal as for a linear function we get a equation of line such that the slope is same.
- On a graph, the function must be a straight line to be linear.
Liner means there is a straight line of the function.
( Also it need not be true that the independent variable increases by 1.
There may be change of some other quantity in independent variable )
Answer:
5.0 ft - 5.6 ft
Step-by-step explanation:
Given that the structure is to be made using two 12 foot boards, then we expect the total perimeter to be equal to (2*12)= 24 ft.
Using the angle of elevation, 40° and the width of 8 ft then you can apply the formula for tangent of a triangle where ;
Tan α = opposite side length/adjacent length
Tan 40°= h/8
h= 8 tan 40° = 6.71 ft
Applying the cosine of an angle formula to find the length of the sliding side
Cosine β = adjacent length /hypotenuse
Cosine 40°= 8/ sliding side length
sliding side length = 8/cosine 40° =10.44 ft
Checking the perimeter = 10.44 +8+6.71= 25.15 ft
This is more than the total lengths of the boards, so you need to adjust the height as;
24 - 18.44 = 5.56 ft ,thus the height should be less or equal to 5.56 ft
h≤ 5.6 ft
Answer:
7/8
Step-by-step explanation:
3 1/2pies ÷ 4friends = ?
3 1/2 ÷ 4 = .875 (in decimal form)
.875 as a fraction = 7/8
each person will get 7/8 of a pie
