Answer:
12cm and 16cm
Step-by-step explanation:
The hypotenuse of the right angle triangle = 20cm
let the other two sides be x and y;
The difference;
x = y - 4
Problem:
Find x and y;
Solution:
According to the pythagoras theorem;
x² + y² = 20² ------ i
x² + y² = 400 ----- i
and x - y = 4 ---- ii
So; x = 4 + y
Now input the value into equation (i);
(y + 4)² + y² = 400
(y+4)(y+4) + y² = 400
y² + y² + 4y + 4y + 16 = 400
2y² + 8y + 16 = 400
2y² + 8y + 16 -400 = 0
2y² + 8y - 384 = 0;
y² + 4y - 192 = 0
Factorize the equation;
y² + 16y - 12y - 192 = 0
y(y + 16) - 12(y + 16) = 0
(y-12)(y + 16) = 0
y -12 = 0 or y+ 16 = 0
y = 12 or -16
It is not realistic for the length of a body to be a negative value, so y= 12;
since;
x - y = 4,
x = 4 + 12
x = 16
Answer:
The best buy item is the Frito-Lay mi Variety Pack. Going for only 0.35 per item.
Step-by-step explanation:
All I did was the equations and then I compared the answer, the lowest answer is the best buy since it is the lowest price found.
Frito-Lay:
9.88/28 = 0.35
Unit rate is 35 cents
Pringles:
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Unit rate is 36 cents
Pack of 18:
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Unit rate is 60 cents
Pack of 24:
15.85/24 = 0.66
Unit rate is 66 cents
GC:
14.75/30 = 0.49
Unit rate is 49 cents
Sweet Treats:
10.75/25 = 0.43
Unit rate is 43 cents
Comparing all of this data, it can easily be seen that the Frito-Lay mi Variety Pack is the best deal you can find out of these 6 deals.
Answer:
C: perpendicular lines
Step-by-step explanation:
