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2 years ago

Find the measure of the exterior angles of the following regular polygons: a triangle,

Mathematics

1 answer:

marshall27 [118]2 years ago

7 0

Answer:

All answers are in degrees

quadrilateral->90

pentagon-> 72

octagon->45

decagon->36

30-gon ->12

50-gon->7.2

100-gon->3.6

Step-by-step explanation:

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Determine if the two functions f and g are inverses of each other

Margarita [4]

Answer:

Yes.

Step-by-step explanation:

$f(g(x))$

$f(\frac{x-12}{9})$

( I will have to replace all $x$ 's in $9x+12$ with $(\frac{x-12}{9}$ )

$9(\frac{x-12}{9})+12$

$(x-12)+12$

$x-12+12$

$x+(-12+12)$

$x+0$

$x$

So the answer is yes.

5 0

3 years ago

The half-life of cesium-137 is 30 years. Suppose we have a

VMariaS [17]

(a) If $y(t)$ is the mass (in mg) remaining after $t$ years, then $y(t) = y(0) e^{kt}=100e^{kt}.$

$y(30) = 100 e^{30k} = \frac{1}{2}(100) \implies e^{30k} = \frac{1}{2} \implies k = -(\ln 2) /30 \implies \\ \\
y(t) = 100e^{-(\ln 2)t/30} = 100 \cdot 2^{-t/30}$

(b) $y(100) = 100 \cdot 2^{-100/30} \approx \text{9.92 mg}$

(c)
$100 e^{- (\ln 2)t/30} = 1\ \implies\ -(\ln 2) t / 30 = \ln \frac{1}{100}\ \implies\ \\ \\
t = -30 \frac{\ln 0.01}{\ln 2} \approx \text{199.3 years}$

3 0

3 years ago

No link/pic just type pls

Radda [10]

Answer:

If you said its the height it would be 21

Step-by-step explanation:

The height is on the side

4 0

2 years ago

Read 2 more answers

Find the value of 5x - 4x^2 for x=2

photoshop1234 [79]

Answer:

=10

Step-by-step explanation:

5x-4x². (x=2)

5(2)-4(2)²

=10-0

=<em>1</em><em>0</em>

4 0

2 years ago

A jet flew to the maintenance facility and back. The trip there took ten hours and the trip back took four hours. It averaged 42

Lana71 [14]

Speed is distance over time

miles per hour is distance over time

so if it averaged 420 miles an hour

is it not 420 miles per hour?

perhaps i am misunderstanding something?

3 0

2 years ago