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2 years ago

Consider the following figure:

Mathematics

1 answer:

motikmotik2 years ago

5 0

Answer:

angle <B = 76

Step-by-step explanation:

The measure of an exterior angle is equal to sum of two interior angles that is not adjacent to the exterior angle.

We can write the following equation with this information to find the value of angle <B

<B + 71 = 147 subtract 71 from both sides

<B = 76

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Which of these graphs represents a function

sveticcg [70]

Answer: Answer X

Step-by-step explanation:

In order for a graph to represent a function, it must pass the vertical line test. This means, if you were to draw a vertical line at ANY point along the graph, it should not intersect more than one point. For answers W, Y, and Z, they clearly fail the vertical line test. Answer X is the only graph that passes the vertical line test.

7 0

3 years ago

A hemisphere has an area of 256 pi cm^2. What is its volume?

Amanda [17]

$\bf \begin{array}{llll}
\textit{surface area of a sphere}\\\\
A=4\pi r^2
\\\\\\
\textit{a hemisphere is half that}\\\\
A=\cfrac{4\pi r^2}{2}\implies A=2\pi r^2
\end{array}\qquad r=radius
\\\\\\
\textit{now, we know the area is }256\pi \implies 256\pi =2\pi r^2
\\\\\\
\cfrac{256\pi }{2\pi }=r^2\implies \sqrt{128}=r\implies \boxed{8\sqrt{2}=r}
\\\\
-----------------------------\\\\$

$\bf \textit{volume of a sphere}\\\\
V=\cfrac{4}{3}\pi r^3\qquad r=radius
\\\\\\
\textit{a hemisphere is half that}\\\\
V=\cfrac{\frac{4}{3}\pi r^3}{2}\implies V=\cfrac{\frac{4\pi r^3}{3}}{\frac{2}{1}}\implies V=\cfrac{4\pi r^3}{3}\cdot \cfrac{1}{2}
\\\\\\
V=\cfrac{2\pi r^3}{3}
\\\\\\
\textit{now, we know the radius is }8\sqrt{2}\implies V=\cfrac{2\pi (8\sqrt{2})^3}{3}
\\\\\\
V=\cfrac{2\pi (8^3\sqrt{2^3})}{3}\implies V=\cfrac{2\pi \cdot 512\cdot 2\sqrt{2}}{3}
\\\\\\
\boxed{V=\cfrac{2048\pi \sqrt{2}}{3}}$

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3 years ago

jan typically earns $435 each week of which 78.30 withheld for taxes. what percent of jan's earnings are withheld each week solv

SpyIntel [72]

78.30 / 435 = 0.18
0.18 = 18% is withheld

5 0

3 years ago

What is the slope of the line that passes through (2 0 ) and (5 0)

irina [24]

3 is the slope. method: y2-y1 over x2-x1

5 0

4 years ago

Read 2 more answers

Solve for x.<br> 5x – 4 > 12 OR 12x+5 < -4

hammer [34]

Answer:

x < -3/4 OR x>16/5

Step-by-step explanation:

5x – 4 > 12 OR 12x+5 < -4

Solve the parts separately and then put back together

5x – 4 > 12

Add 4 to each side

5x-4+4>12+4

5x >16

Divide each side by 5

5x/5>16/5

x > 16/5

12x+5 < -4

Subtract 5 from each side

12x+5-5<-4-5

12x<-9

Divide each side by 12

12x<-9/12

x <-3/4

Put back together

x < -3/4 OR x>16/5

3 0

3 years ago