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laila [671]
3 years ago
10

What is the number of sides of a regular polygon if each interior angle measures 160°?

Mathematics
1 answer:
Temka [501]3 years ago
4 0

Answer:

18

Step-by-step explanation:

180-160 = 20 which equals the exterior angle

the sum of exterior angles is 360 so 360/20 = the number of sides as there is an exterior angle for every side

360/20 = 18

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A basketball player made 78 out of 100 attempted free throws. What percent of free throws was​ made?
DaniilM [7]
78%
78/100=0.78
0.78x100=78
7 0
3 years ago
How are the arc length and circumference of a circle related?​
nikklg [1K]

Answer:

Hope it helps.

Step-by-step explanation:

An arc of a circle is a "portion" of the circumference of the circle. The length of an arc is simply the length of its "portion" of the circumference. The circumference itself can be considered a full circle arc length. ... the angle subtends, s, divided by the radius of the circle, r.

8 0
3 years ago
A radioactive element has a half-life of 5,750 years. Archeologists determined a relic had lost 25.5% of this element at the tim
Dmitry [639]

Answer:

2441.95 years

Step-by-step explanation:

We can model this exponencial function as:

P = Po * (1+r)^(t/n)

Where P is the final value, Po is the inicial value, r is the rate, t is the time and n is the period of half-life.

In this case, we have that P/Po = 100% - 25.5% = 74.5% = 0.745, r = -0.5 and n = 5750, so we have that:

0.745 = (1 - 0.5)^(t/5750)

Step 1: log in both sides:

log(0.745) = (t/5750) * log(0.5)

Step 2: isolate t

t = 5750*log(0.745)/log(0.5) = 2441.95 years

3 0
3 years ago
The time it takes you to go a certain distance varies inversely with the speed of travel. Suppose it takes you 4 hours to get to
fgiga [73]
\bf \qquad \qquad \textit{inverse proportional variation}
\\\\
\textit{\underline{y} varies inversely with \underline{x}}\qquad \qquad  y=\cfrac{k}{x}\impliedby 
\begin{array}{llll}
k=constant\ of\\
\qquad  variation
\end{array}\\\\
-------------------------------

\bf \textit{time it takes varies inversely with the speed rate}\qquad \stackrel{time}{t}=\cfrac{k}{\stackrel{rate}{r}}
\\\\\\
\textit{we also know that }
\begin{cases}
t=\stackrel{hrs}{4}\\
r=\stackrel{mph}{50}
\end{cases}\implies 4=\cfrac{k}{50}\implies 200=k
\\\\\\
\boxed{t=\cfrac{200}{r}}
\\\\\\
\textit{if your rate r = 40, what is your distance \underline{t}?}\qquad t=\cfrac{200}{40}
3 0
3 years ago
Using the values from the graph, compute the values for the terms given in the problem. Choose the correct answer. Age of car =
Elenna [48]

Answer:

The cost of maintenance and repairs is $235

Step-by-step explanation:

step 1

Find the market values of car for age of car equal to 7 year

Observing the graph

The percentage of market value is 10%

so

10%=10/100=0.10

The market value is equal to

$23,500*0.10=$2,350

step 2

Find the cost of maintenance and repairs for age of car equal to 7 year

Observing the graph

The percentage of maintenance and repairs of car's value is 10%

so

10%=10/100=0.10

The cost of maintenance and repairs is

$2,350*0.10=$235

6 0
3 years ago
Read 2 more answers
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