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NISA [10]
3 years ago
5

What is the measure of each angle of a regular 24-gon? If necessary, round to the nearest tenth.

Mathematics
1 answer:
Butoxors [25]3 years ago
4 0

Answer:

165°

Step-by-step explanation:

Find the interior angle measure by using the formula, ((n - 2) x 180°) / n

Plug in 24 as n:

((n - 2) x 180°) / n

((24 - 2) x 180°) / 24

(22 x 180°) / 24

3960 / 24

= 165

So, the measure of each angle is 165°

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The cost to rent a car at one agency is $24.50 per day plus an additional $15.99 fee for insurance. At a different agency, the c
Lena [83]

Answer:

d=4

Step-by-step explanation:

Agency 1:

Total cost of renting a car=24.50d + 15.99

Agency 2:

Total cost of renting a car=27.50d + 3.99

Where, d=No. of days of renting the car

Which equation could be used to find the number of days, d, at which the rental fee is the same for both agencies?

The equation is by equating agency 1 and agency 2 equation

24.50d + 15.99 = 27.50d + 3.99

Collect like terms

24.50d - 27.50d = 3.99 - 15.99

-3d = -12

Divide both sides by -3

d= -12 / -3

=4

d=4

Check

Agency 1:

24.50d + 15.99

= 24.50(4) + 15.99

= 98 + 15.99

= 113.99

Agency 2:

27.50d + 3.99

= 27.50(4) + 3.99

= 110 + 3.99

= 133.99

3 0
3 years ago
What are the zeros of the function: f(x) = 2x^2-50
yan [13]
When f(x) = 0, 

2x^2 - 50 = 0

2(x^2 - 25) = 0

2(x- 5)(x + 5) = 0

(x - 5) = 0 \ or  \ (x + 5) = 0

x = 5 \ or \ x = -5

--------------------------------
Answer : x = 5 or -5
--------------------------------

3 0
3 years ago
Read 2 more answers
Jennifer makes 1.7 liters lemonade. If she pours 3 tenths of the lemonade in the glas,how many liters of lemonade are in the gla
german
You need to set up a portportation to solve this question to do so you need to know that 3 tenths is 30% so you can do:

30/100 = x/1.7

So now you cross multiply doing 30X17=510
Finially X=510/100
Simpified Answer is 5.1 liters
4 0
3 years ago
Read 2 more answers
HELP ME PLEASE
solmaris [256]

Answer:

The initial mass of the sample was 16 mg.

The mass after 5 weeks will be about 0.0372 mg.

Step-by-step explanation:

We can write an exponential function to model the situation.

Let the initial amount be A. The standard exponential function is given by:

P(t)=A(r)^t

Where r is the rate of growth/decay.

Since the half-life of Palladium-100 is four days, r = 1/2. We will also substitute t/4 for t to to represent one cycle every four days. Therefore:

\displaystyle P(t)=A\Big(\frac{1}{2}\Big)^{t/4}

After 12 days, a sample of Palladium-100 has been reduced to a mass of two milligrams.

Therefore, when x = 12, P(x) = 2. By substitution:

\displaystyle 2=A\Big(\frac{1}{2}\Big)^{12/4}

Solve for A. Simplify:

\displaystyle 2=A\Big(\frac{1}{2}\Big)^3

Simplify:

\displaystyle 2=A\Big(\frac{1}{8}\Big)

Thus, the initial mass of the sample was:

A=16\text{ mg}

5 weeks is equivalent to 35 days. Therefore, we can find P(35):

\displaystyle P(35)=16\Big(\frac{1}{2}\Big)^{35/4}\approx0.0372\text{ mg}

About 0.0372 mg will be left of the original 16 mg sample after 5 weeks.

5 0
3 years ago
Which hundredth is 8.275 beetween
bonufazy [111]

Answer:

the 7 is in the hundredths place

Step-by-step explanation:

hope this helps :)

8 0
3 years ago
Read 2 more answers
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