Find the perimeter of the figure to the nearest hundredth. Ps: it is not 30

Mathematics

1 answer:

frutty [35]2 years ago

8 0

Answer:

Perimeter = 36.8 ft

Step-by-step explanation:

Step 1: Add the straight sides together

3+3+3+3+3+3 = 18 ft

Step 2: Find the perimeter of the semi-circles

The formula for the perimeter of semi-circle: 1/2 π × d

Diameter = 12 - 3 - 3 = 6, because the whole length is 12 minus the 6 ft of other stuff.

Now, 1/2π * 6 = 9.4 ft

But, there are two semi-circles so it will be 9.4 + 9.4 = 18.8 ft

Step 3: Add all of them

18 + 18.8 = 36.8 ft

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The circumference of the equator of a sphere was measured to be 82 82 cm with a possible error of 0.5 0.5 cm. Use linear approxi

True [87]

Answer:

The maximum error in the calculated surface area is approximately 8.3083 square centimeters.

Step-by-step explanation:

The circumference ( $s$ ), in centimeters, and the surface area ( $A_{s}$ ), in square centimeters, of a sphere are represented by following formulas:

$A_{s} = 4\pi\cdot r^{2}$ (1)

$s = 2\pi\cdot r$ (2)

Where $r$ is the radius of the sphere, in centimeters.

By applying (2) in (1), we derive this expression:

$A_{s} = 4\pi\cdot \left(\frac{s}{2\pi} \right)^{2}$

$A_{s} = \frac{s^{2}}{\pi^{2}}$ (3)

By definition of Total Differential, which is equivalent to definition of Linear Approximation in this case, we determine an expression for the maximum error in the calculated surface area ( $\Delta A_{s}$ ), in square centimeters: