The answer is to solve each expression.
Answer:
You must draw a right triangle and label the hypotenuse as 41 and the longest leg (horizontal in this case, since we are to determine the height) as 40. We do not know the height so call it h.
Now the Pythagorean (sp /) Theorem states that the square of the hyp. is equal to the sum of the squares of the two legs.
so, 41 ^ 2 = 40 ^ 2 + h ^ 2
41 ^ 2 = 1681 40 ^ 2 = 1600 Therefore h ^2 must be equal to 81. This means that h = 9.
The height is 9 inches.
Step-by-step explanation:
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~Alex
<span>We should find out the equation that represents the number of drinks Fiona can serve. We know X as the number of glasses of iced tea and Y as the number of glasses of lemonade.
Fiona can serve both of them. She has 44 cups.
</span><span>The equation is:
X+Y=44
the constraint is: X and Y must be positive numbers.
</span>
Answer:
A=-2; B=-1
Step-by-step explanation:
3a - 2b + 4 =0
2a -5b -1 = 0
Let's multiple the top equation by 2, and the bottom by -3, and then use addition.
[3a - 2b + 4 =0]*2
[2a -5b -1 = 0]*(-3)
6a-4b+8=0
-6a+15b+3=0
Now add the two equations together:
11b + 11 = 0
Subtract 11 from both sides
11b = -11
Divide both sides by 11
b=-1
Substitute in the first equation:
3a - 2(-1) + 4 = 0
Simplify to get 3a+6 = 0
Subtract 6 from both sides to get 3a = -6
Divide both sides by 3 to get a=-2
Divide the shape into a rectangle and a triangle.
A(rectangle) = bh
A = 8*3
A = 24
A (triangle) = (bh)/2
A = (3*3)/2
A = 4.5
24 + 4.5 = 28.5
