The surface area of a rectangular prism is given by the formula 2(wl + hl + hw).
Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. A finite combination of symbols that are well-formed in accordance with context-dependent principles is referred to as an expression or mathematical expression.
The surface area of a triangular prism is given by,
The surface area = perimeter × length + 2 × Base area,
The surface area of a square prism is given by,
The surface area = 2a² + 4ah
Here, a is the base edge and h is the height.
The surface area of a rectangular prism is given by,
The surface area = 2(wl + hl + hw)
Here, l is the length, w is the width, and h is the height.
To know more about the expression:
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That would be
2 wl + 2wh + 2lh
where w = width of the base, l = length of the base and h = height of the prism.
Answer:
3x+2y=13
y=x-1
Answer:
Step-by-step explanation:
Solve for for y:
Substitute for y in
:
Substitute 3 for x in :
and
hope this helps...
Answer:
<1 = 113
<2 = 67
<3 = 113
Step-by-step explanation:
m<2 = 67 (because of vertical angles)
<1 + 67 = 180
<1 = 113
<1 = <3 because of vertical angles
Answer: Price (P) = 0.025n + $2.75
Step-by-step explanation:
a) Based on the data provided, a line model will reasonably fit the data. The given data points form a consistent pattern, where the number of pages increases linearly with the price.
b) To find an equation for price in terms of the number of pages, we can use the slope-intercept form of a linear equation: y = mx + b.
Let's use the data points to determine the slope (m) and y-intercept (b) of the equation.
Using the points (100, $5.25) and (400, $12.75):
Slope (m) = (12.75 - 5.25) / (400 - 100) = 7.5 / 300 = 0.025
Now, let's substitute one of the data points into the equation to solve for the y-intercept (b). Let's use the point (100, $5.25):
$5.25 = 0.025(100) + b
$5.25 = 2.5 + b
b = $5.25 - $2.5 = $2.75
The relationship between the number of pages and the price is linear, so a line will model the data well. The equation of the price per page can be found using the point-slope form of a line equation, which in this case leads to the equation: Price = $0.025*Pages + $5.00.
To determine how well a line will model the given data, it is essential first to examine the relationship between the number of pages and the price. Here, we observe a consistent increase of $2.50 for every 100 extra pages. This suggests a linear relationship, meaning a line should model the data well.
To find the equation for the price in terms of the pages, we can use the point-slope form of a line equation, y - y1 = m(x - x1). Here, (x1, y1) is a point on the line, and m is the slope of the line. The slope (m) can be found by determining the difference in price (y values) divided by the difference in pages (x values). The slope will be ($7.75 - $5.25)/(200 - 100) =$2.50/100 pages = $0.025/page.
Choosing the first data point (100, $5.25) as our point on the line, the price equation (Price = m * Pages + b) becomes Price = $0.025 * Pages + $5.00. Thus, based on the data, a line model is well-suited to represent the relation between the number of pages and the price.
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