Answer:
C. 125 + 120x = 180 + 110x
t = $5.5
Step-by-step explanation:
A.125t + 120 = 180t + 110
B. 120t + 110t = 125 + 180
C. 125 + 120t = 180 + 110t
D. 125 - 120t = 180 - 110t
Friday
$125 + 120t
Saturday
110t + 180
equate Friday and Saturday
125 + 120t = 110t + 180
Collect like terms
125 - 180 = 110t - 120t
-55 = -10t
Divide both sides by -10
t = -55 / -10
= 5.5
t = $5.5
The rule of a function is:
You CANNOT have one x-value with multiple different y values in the same function. You can however have different x values with the same y value.
Also for reference: independent means x value and dependent means y- value.
The first answer is not a function because as you can see there is one x-value with multiple y values.
second answer IS a function because as I said before you can have different x values with the same y value
third answer is a function again because you can have different x values with same y value
number four isn't a function bc again the -2 x value has 2 different y Values.
Answer:
- Height: 3cm
-
Length: 6cm
-
Width: 2cm
Step-by-step explanation:
To sketch such a Rectangular Prism, all you need to do is to ensure that the product of the dimensions gives 36 cubic cm.
An example is attached:
- Height: 3cm
-
Length: 6cm
-
Width: 2cm
Volume of a rectangular prism = Length X Height X Width
=6 X 3 X 2
Volume=36 cubic cm
Answer:
100.3 units²
Step-by-step explanation:
✅Find the area of the parallelogram:
Area of Parallelogram is given as base × height
base = 10
height = 5
Area of Parallelogram = 10*5 = 50
✅Next, find the area of the two semicircles:
The two semicircles = 1 circle
Area of circle = πr²
r = 8/2 = 4
Area = π*4² = 16π = 50.3 (nearest tenth)
✅Area of figure = 50 + 50.3 = 100.3 units²
I assume you're supposed to establish the identity,
cos(A) cos(2A) cos(4A) = 1/8 sin(8A) / sin(A)
Recall the double angle identity for sine:
sin(2<em>x</em>) = 2 sin(<em>x</em>) cos(<em>x</em>)
Then you have
sin(8A) = 2 sin(4A) cos(4A)
sin(8A) = 4 sin(2A) cos(2A) cos(4A)
sin(8A) = 8 sin(A) cos(A) cos(2A) cos(4A)
==> sin(8A)/(8 sin(A)) = cos(A) cos(2A) cos(4A)
as required.
