The frog is climbing out of a well that is 50 Feet deep. The frog can climb 7 feet per hour but then a rest for an hour and it s
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The will spend $33.60 (option C) to make the figure out of construction paper, if the construction paper cost $0.10 per square inch.
Step-by-step explanation:
The given is,
Construction paper cost $0.10 per square inch
Pyramid diagram with dimensions
Step:1
Formula to calculate the area of pyramid,
..............(1)
Where,
l - Base length
w - Base width
h - Height of pyramid
From given,
l = 12 inches
w = 12 inches
For height of pyramid,
By using Pythagorean theorem,
.................(2)
For right angle triangle,
Base = = 6 inches
Equation (2) becomes,
Height = 5.2915 inches
h - 5.2915 inches
Equation (1) becomes,
≅ 336 square inches
Where,
$0.10 per square inch ( from given)
Paper cost of total figure = 336 square inches
= 336 × 0.10
= $ 33.60
Result:
The will spend $33.60 to make the figure out of construction paper, if the construction paper cost $0.10 per square inch.
First of all, let's consider the line, since it's simpler to graph: we draw the endpoints and connect them:
So, you just need to draw the points
As for the trigonometric function, we have to start from the parent function and derive the graph of its child function via transformations:
- When we multiply the whole function by 2, we stretch the graph vertically. So, the function has still period
, but now it ranges from -2 to 2 instead of from -1 to 1 (amplitude 2)
- When we multiply the argument by 2, we compress the function horizontally. So, the new period becomes
, and the function makes two complete oscillations from 0 to
You can see the two functions in the image below. You can also see that the two graphs cross 4 times, meaning that the equation
has four solutions.
