Using the net, we see that the square pyramid breaks down to 4 equivalent triangles and a square. We can use this formula to solve for the surface area:
Sa=A(square)+4*A(triangle)
The formula for the area of a square is
A=l*w
A=7*7
A=49mm²
The formula for the area of a triangle is:
A=1/2b*h
A=1/2*7*12.2
A=42.7mm²
Now that we have the individual areas of the shapes, we can solve for the surface area.
Sa=A(square)+4*A(triangle)
Sa=49mm²+4*42.7mm²
Sa=49mm²+170.8mm²
Sa=219.8mm²
Answer=219.8mm²
ANSWER=A
Answer:
<u><em>B. 25</em></u>
Step-by-step explanation:
common difference is calculated by subtracting previous term from next term
So
3) common difference = 8-4 = 4
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4) common difference = 7-6.3 = 0.7
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5) common difference = 500-200 = 300
Given:
1st purchase: <span>38 bed sheets and 61 towels for $791.50
2nd purchase: </span><span>54 bed sheets and 50 towels for $923
Let x = bed sheets ; y = towels
38x + 61y = 791.50
54x + 50y = 923.00
Find the value of y:
50y = 923.00 - 54x
y = 923/50 - 54x/50
y = 18.46 - 1.08x
Substitute y to find the value of x.
38x + 61y = 791.50
38x + 61(18.46 - 1.08x) = 791.50
38x + 1126.06 - 65.88x = 791.50
38x - 65.88x = 791.50 - 1126.06
- 27.88x = -334.56
x = -334.56/ -27.88
x = 12
Find the value of y using the value of x.
y = 18.46 - (1.08x)
y = 18.46 - (1.08*12)
y = 18.46 - 12.96
y = 5.5
Each bed sheet costs $12 and each towel costs $5.50
To check:
</span>38x + 61y = 791.50
38(12) + 61(5.5) = 791.50
456 + 335.5 = 791.50
791.50 = 791.50
<span>54x + 50y = 923.00</span>
54(12) + 50(5.5) = 923
648 + 275 = 923
923 = 923