Write a division expression for Alaska population density
1 answer:
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The surface area of the rectangular prism is 52 square feet (), if the height is 4 feet, width is 3 feet and depth is 2 feet.
Step-by-step explanation:
The given is,
A rectangular prism of
Let, h - height of the rectangular prism
w - Width of the rectangular prism
d - Depth of the rectangular prism
Step:1
From given,
h = 4 feet
w = 3 feet
d = 2 feet
Step:2
Formula to calculate the surface area of the rectangular prism is,
Substitute the values of w,d and h
= 2 [(3×2) + (4×2) + (4×3)]
= 2 (6+8+12)
= 2 × 26
= 52
A = 52 Square feet
Result:
Thus the surface area of the rectangular prism is 52 square feet (), if the height is 4 feet, width is 3 feet and depth is 2 feet.
Answer:
Step-by-step explanation:
Given that,
A line 7x - 3y = 68 and containing the point (8, -8).
The equation can be written as :
The slope is :7/3
Line is perpendicular so use m = –3/7
So, required equation is :
Let's call that other line with the eqn. y=2x-1 line M.
This line is in slope-intercept form, which means that it is written in the form y=mx+b where m is the slope and b is the y-intercept.
This means that the slope of line M is 2.
Perpendicular lines have slopes which are opposite reciprocals.
(that is to say, if you flipped the fraction and changed the sign)
Of course, 2 isn't a fraction, but it's implied as 2/1.
The opposite reciprocal would then be -1/2.
Let's plug this into our slope-intercept form equation for line L.
y = mx + b
y = -1/2x + b
Of course, we still need to find that y-intercept. (y when x = 0)
To do this, we need to interpret the slope.
Slopes are rise over run, so m = -1/2 means a change of -1 in y = 2 in x.
Let's take a point we know is in our line, (8, 1).
To find that y-intercept, we want x to be 0.
To do this, we'd have to subtract 8 from x.
And according to our slope, this means adding 4 to y.
Our y-intercept is at (0, 5), with the value b that we use being just 5.
This line is in slope-intercept form, which means that it is written in the form y=mx+b where m is the slope and b is the y-intercept.
This means that the slope of line M is 2.
Perpendicular lines have slopes which are opposite reciprocals.
(that is to say, if you flipped the fraction and changed the sign)
Of course, 2 isn't a fraction, but it's implied as 2/1.
The opposite reciprocal would then be -1/2.
Let's plug this into our slope-intercept form equation for line L.
y = mx + b
y = -1/2x + b
Of course, we still need to find that y-intercept. (y when x = 0)
To do this, we need to interpret the slope.
Slopes are rise over run, so m = -1/2 means a change of -1 in y = 2 in x.
Let's take a point we know is in our line, (8, 1).
To find that y-intercept, we want x to be 0.
To do this, we'd have to subtract 8 from x.
And according to our slope, this means adding 4 to y.
Our y-intercept is at (0, 5), with the value b that we use being just 5.