Answer:
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Step-by-step explanation:.........................................................................................................................
Answer:
2/6
Step-by-step explanation:
In the graph,
Amplitude = 1.5 units
Period = 180°
The x-intercepts are 40°, 140°, 220°, and 320°
<h3>Determining x-intercepts </h3>
From the question, we are to determine the amplitude, period and the x-intercepts of the given graph
Amplitude is the distance from rest to crest.
In the graph,
Amplitude = 1.5 units
Period is how long from crest to crest OR trough to trough
In the graph,
Period = 180°
x-intercepts refers to the points where the graph cuts the x-axis
In the graph,
The x-intercepts are 40°, 140°, 220°, and 320°
Learn more on Determining x-intercepts here: brainly.com/question/24148225
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Answer:
y= -1.4x-6.6
Step-by-step explanation:
(1,-8)
7x+5y=-7
Make the equation into standard form
Subtract 7x from both sides
5y=-7x-7
Divide all by 5
y=-1.4x-1.4
Since they are parrallel, we know the slope is -1.4x
y=-1.4x+b
(1,-8) is one of the points it goes through
Replace the x and y in the equation for the x and y in the incomplete equation
-8=-1.4+b
Add 1.4 to both sides
-6.6=b
Thus the equation is
y=-1.4x-6.6
The volume of the cuboid of the box is 180 inches³ while the volume of the cylinder is 235.5 inches³.
<h3>How to calculate the volume?</h3>
The volume of the cuboid will be:
= Length × Width × Height
= 12 × 2 × 7.5
= 180 inches³
The volume of the cylinder will be:
= πr²h
= 3.14 × 2.5² × 12
= 235.5 inches³
The surface area of the cuboid will be:
= 2(12 × 2) + 2(12 × 7.5) + 2(7.5 × 2)
= 48 + 180 + 30
= 258 inches²
The surface area of the cylinder will be:
= 2πrh + 2πr²
= (2 × 3.14 × 2.5 × 12) + (2 × 3.14 × 2.5²)
= 188.4 + 39.25
= 227.65 inches²
Learn more about volume on:
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