Answer:
86 m²
Step-by-step explanation:
It can be convenient to think of the figure as an 8×12 rectangle with a 4×5 triangle cut off the corner.
The rectangle area is the product of its length and width:
(12 m)×(8 m) = 96 m²
The triangle area is half the product of its base and height:
(1/2)(4 m)(5 m) = 10 m²
Then the area of the figure is the difference of these:
96 m² -10 m² = 86 m²
To solve for the volume of a spherical ball, we use the formula,
V = (4<span>πr^3)/3
The given radius of 3x10^2 centimeters converts to 3 meters. Solving for the volume,
V = (4</span>π)x(3^3)/3 = 36<span>π m^3
</span>Thus, Sara is trapped in a spherical ball with a volume of 36<span>π m^3.
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Step-by-step explanation:
seems to be multiplication, because the differences between the numbers change.
so, let's find the factor.
2 × f = 5
f = 5/2
5 × f = 5 × 5/2 = 25/2
ok, the factor 5/2 is confirmed.
a1 = 2
a2 = a1 × 5/2 = 2 × 5/2 = 10/2 = 5
a3 = a2 × 5/2 = a1 × 5/2 × 5/2 = 2 × 5/2 × 5/2 = 25/2
an = an-1 × 5/2 = a1 × (5/2)^(n-1) = 2 × (5/2)^(n-1)
a9 = 2 × (5/2)⁸ = 2 × 390,625/256 =
= 390,625/128 = 3,051.7578125