Answer:
Only table C shows proportional relationship
Step by Step Explanation:
Given
Tables A, B an C
Required
Which table shows proportional relationship?
In table A .
x = 2 and y = 20
k = 20/2
k = 10
Also, x = 12, y = 132
k =. 132/12.
k = 11
Both values of k are not equal.
Hence, the table is not proportional
In table B
x = 5 and y = 20
k = 20/5
k = 4
Also, x = 7, y = 30
k =. 30/7
k = 4.29
Both values of k are not equal.
Hence, the table is not proportional
In table C
x = 9 and y = 90
k = 90/9
k = 10
Also, x = 14, y = 140
k =. 140/14
k = 10
Also, x = 24, y = 240
k =. 240/24
k = 10
All values of k are equal.
Hence, the table is proportional
Unlike the previous problem, this one requires application of the Law of Cosines. You want to find angle Q when you know the lengths of all 3 sides of the triangle.
Law of Cosines: a^2 = b^2 + c^2 - 2bc cos A
Applying that here:
40^2 = 32^2 + 64^2 - 2(32)(64)cos Q
Do the math. Solve for cos Q, and then find Q in degrees and Q in radians.
Answer:
$28.50
Step-by-step explanation:
multiply 30 by 5 then divide by 100 and subtract the answer by 30
30×5=150
150÷100=1.5
30-1.5=28.50
Answer:
164 Cm^3
Step-by-step explanation:
Solution
V=
3
3
2
a
2
h
=
3
3
2
3
2
7
≈
163.6788