Total number of cards in the stack =180
Height of stack (all cards) = 38 inches
Now, we know that the thickness of 180 cards is 38 inches,
now the thickness of one card can be obtained by dividing the total thickness by the number of cards
Thickness of 1 card = Total thickness of all cards/ total number of cards
Thickness of 1 card = 38 inches/180 = 0.211111.....inches
Each card is 0.21 inch thick (rounded to two decimals)
9514 1404 393
Answer:
a) C x +x +x +3x +3x = 18
b) x = 2
c) 2 cm, 6 cm
Step-by-step explanation:
a) The sum of the lengths of the sides is equal to the length of the perimeter. The appropriate equation is ...
x +x +x +3x +3x = 18
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b) Simplifying, the equation becomes ...
9x = 18
x = 2 . . . . . divide by 9
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c) The shorter sides are x = 2 cm.
The longer sides are 3x = 6 cm.
(2 - 3i) + ( x + yi) = 6
(x + yi) = 6 - (2 - 3i)
Distribute the - to the 2 - 3i and get
x + yi = 6 - 2 + 3i
Accumulate like terms.
x + yi = 4 + 3i. Answer
Answer:
20 is 80% of 25
Step-by-step explanation:
We assume, that the number 25 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 25, so we can write it down as 100%=25.
4. We know, that x% equals 20 of the output value, so we can write it down as x%=20.
5. Now we have two simple equations:
1) 100%=25
2) x%=20
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=25/20
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
7. Solution for 20 is what percent of 25
100%/x%=25/20
(100/x)*x=(25/20)*x - we multiply both sides of the equation by x
100=1.25*x - we divide both sides of the equation by (1.25) to get x
100/1.25=x
80=x
x=80
It is always isosceles because it can be proved as follows:
The perpendicular bisector dissects the triangle into two, and it is the common side. Then each side of the bisector is 90 degrees, and the bisected to two equal sides, so the two dissected triangles are congruent, hence the original triangle is isosceles.
