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24.03.2020 •
Mathematics
A greenhouse has the shape of a square pyramid. the base has a side length of 30 yards. the height of the greenhouse is 18 yards. how much space is inside the greenhouse
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Ответ:
space inside the greenhouse is
.
Step-by-step explanation:
We have , a greenhouse has the shape of a square pyramid. the base has a side length of 30 yards. the height of the greenhouse is 18 yards. We need to find how much space is inside the greenhouse . Let's find out:
We know that Volume of square Pyramid is ,
Where
a = Area of Base
h = height of Pyramid
According to Question ,
and , 
, So Area of base
⇒
⇒
⇒
Now , Volume is
⇒
⇒
⇒
⇒
Therefore, space inside the greenhouse is
.
Ответ:
The equation of the linear function in slope-intercept form is
The equation of a linear function can be written in the slope intercept form as:
f(x) = mx + b,
where,
m represents the slope of the linear function
b represents the point on the y-axis where the line intercepts the y-axis. (at this point, x = 0)
we need to find the value of m and b to be able to write the equation of the linear function.
Find slope (m):
From the image attached, the red line represents the rise (3 units) while the blue line represents the run (6 units).
Slope (m) = rise/run
Substitute:
Slope (m) = 3/6
m = 1/2
Find the y-intercept (b):
From the graph, the line cuts the y-axis at y = -5.
Therefore,
b = -5
Next is to substitute m = 1/2 and b = -5 into f(x) = mx + b. Thus:
The equation of the linear function is:
Learn more about how to write the equation of a linear function here: