Answer: Explained.
Step-by-step explanation: We are given to explain the importance of using net in finding the surface area of prisms and pyramids.
With the help of net, we can easily see the different sides, faces and angles of a prism or pyramid.
For example, see the attached figure, where the nets of both prism and pyramid are shown.
With the help of these figures, we can easily calculate the surface area by finding the surface area of each face of the prism or pyramid.
A
B
C
OR
D
Answer:
36 cm
Step-by-step explanation:
P = 2l + 2w
Plug in
P = 2(14) + 2 (4)
P = 28 + 8
P = 36
Answer:
D
Step-by-step explanation:
perimeter = 2l + 2w ← given
To calculate the perimeter substitute l = 14 and w = 4 into the formula
perimeter = (2 × 14 ) + (2 × 4 ) = 28 + 8 = 36 cm → D
The equation modelling the given scenario in slope-intercept form is y = 10x + 175, which represents a linear relationship because the rate at which puzzle pieces are being placed,10 per minute, is constant.
The subject of your query falls into the category of linear algebra, specifically, slope-intercept form equations and linear relationships in mathematics. In slope-intercept form, a line can be described by the equation y = mx + b, where 'm' represents the slope and 'b' signifies the y-intercept.
For your puzzle scenario, 'm' is the number of puzzle pieces you place each minute, which is 10, and 'b' is the initial number of pieces already placed which is 175. Therefore, the equation that models your situation is y = 10x + 175.
This relationship is, indeed, linear. We know this because the rate at which you are placing puzzle pieces is constant, meaning it doesn't change over time. This is characteristic of a linear relationship, as represented by the straight line on a graph. In other words, for every unit increase in time (x), the number of puzzle pieces placed (y) increases at a steady rate of 10.
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