The shape of sail is triangle
The shape of the boat is trapezoid
Fabric needed for sail = fabric needed for boat
which mean ;
the area of triangle = the area of trapezoid
the area of triangle = 0.5 * base * height
base = bottom sail = 10 and height = 10
∴ the area of triangle = 0.5 * 10 * 10 = 50 ⇒⇒⇒⇒⇒(1)
the area of trapezoid = 0.5 * (b₁ +b₂) * h
b₁ = long base
b₂ = short base = 10 cm.
h = height = 4 cm.
∴ the area of trapezoid = 0.5 (b₁ + 10 ) * 4 ⇒⇒⇒⇒ (2)
Equating (1) and (2)
∴ 0.5 (b₁ + 10 ) * 4 = 50
b₁ + 10 = 25
b₁ = 15
∴ <span>The length of the long base of the trapezoid = 15 cm.
The correct answer is option (C)
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Answer:
they are not able to use photosynthesis
Step-by-step explanation:
I assume it is meant to draw 2 blue balls in a row out of the full pool of balls (no other draws happen before or during this process).
tricky, your teacher.
I think the temptation is to simply say 1/3×1/3 = 1/9.
but is it ?
the probabilty to draw one blue ball out of the complete system (no ball missing) is
x / (6+4+x) = 1/3
x = (6+4+x)/3
3x = 6 + 4 + x = 10 + x
2x = 10
x = 5
so, we have a system of 6 orange, 4 green and 5 blue balls (15 all together) .
the probability at our first pull to draw a blue ball is the indicated 5/15 = 1/3.
but now, for the second ball, we have only 6 orange, 4 green and 4 blue balls in the pool (14 altogether).
and so the probability to draw a blue ball out of this is
4/14 = 2/7.
therefore, the probability to draw 2 blue balls is now the combination
1/3 × 2/7 = 2/21
aha ! so, it is a little bit less than the originally suspected probability of 1/9.
Volume of the carton = 1000 cubic inches. Dimensions of a carton are 10"×10"×10"
