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Strike441 [17]
3 years ago
8

What is the surface area of a sphere with a diameter of 12 centimeters? (Use 3.14 for π .)

Mathematics
1 answer:
tino4ka555 [31]3 years ago
7 0
The answer is 452.39 centimeters
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Suppose you invest $400 at an annual interest rate 7.6% compounded continuously. How much will you have in the account after 1.5
goldfiish [28.3K]
\bf ~~~~~~ \textit{Continuously Compounding Interest Earned Amount}\\\\
A=Pe^{rt}\qquad 
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{original amount deposited}\to& \$400\\
r=rate\to 7.6\%\to \frac{7.6}{100}\to &0.076\\
t=years\to &1.5
\end{cases}
\\\\\\
A=400e^{0.076\cdot 1.5}\implies A=400e^{0.114}
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Step-by-step explanation:

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2 years ago
Find the area of the shaded region
Dimas [21]

The area of the shaded region is 15.453 square units.

Step-by-step explanation:

Step 1:

The given shape consists of a rectangle and two circles.

The length of the rectangle is given as 12 cm. Both the diameters of the circles equal 12 cm. So each circle has a diameter of 6 cm and thus a radius of 3 cm.

The diameter of the circle is equal to the width of the rectangle.

So the rectangle has a length of 12 cm and a width of 6 cm. The circles have radii of 3 cm each.

Step 2:

The area of the rectangle = (l)(w) = (12)(6) = 72 square cm.

The area of each circle = \pi r^{2}  = (3.1415)(3^{2} ) = 28.2735 square cm.

The area of both circles =2(28.2735) = 56.547 square cm.

The area of the shaded region is the difference between the area of the rectangle and the area of both circles.

The area of the shaded region = 72 - 56.547 = 15.453 square units.

The area of the shaded region is 15.453 square units.

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Find the area of the isosceles triangle.
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