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2 answers:
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Answer:
Heptagon = 84 ft²
Octagon = 186 yd²
Triangle = 48√3 m²
Step-by-step explanation:
where:
= length of apothem
= perimeter
<u>Heptagon</u>
a = 5.0 ft
p = 33.6 ft
⇒ area = 1/2 x 5.0 x 33.6 = 84 ft²
<u>Octagon</u>
a = 7.5 yd
p = 8 x 6.2 = 49.6 yd
⇒ area = 1/2 x 7.5 x 49.6 = 186 yd²
<u>Triangle</u>
Formula for the apothem of an equilateral triangle :
where
= side length
a = 4, so:
Now we know the side length, we can calculate the perimeter (p):
p = 3 x 8√3 = 24√3
⇒ area = 1/2 x 4 x 24√3 = 48√3 m²
Answer:
see the explanation
the graph in the attached figure
Step-by-step explanation:
Let
x ----> the number of bags of popcorn
y ---> the number of drinks
we know that
The price of each bag of popcorn was $5
The price of each drink was half the price of a bag of popcorn
so
The price of each drink was $5/2=$2.5
Remember that
The number of bags of popcorn and drinks Judy bought, multiplied by their prices, should equal $30.
The linear equation that represent this situation is
To graph the linear equation , find the intercepts
Find the y-intercept
The y-intercept is the value of y when the value of x is equal to zero
In the context of the situation, the y-intercept represent the number of drinks Judy can buy when the number of bags of popcorn equals zero
so
For x=0
The y-intercept is the point (0,12)
Find the x-intercept
The x-intercept is the value of x when the value of y is equal to zero
In the context of the situation, the x-intercept represent the number of bag of popcorn Judy can buy when the number of drinks equals zero
so
For y=0
The x-intercept is the point (6,0)
To graph the line plot the intercepts and join the points
using a graphing tool
The graph in the attached figure
