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fgiga [73]
3 years ago
5

Find the area of a regular decagon with radius 4 cm

Mathematics
2 answers:
bazaltina [42]3 years ago
8 0
A =  \frac{5}{2}t^{2} \sqrt{5 + 2 \sqrt{5} }

A =  \frac{5}{2} (4)^{2}  \sqrt{5 + 2(2.236067978)} }

A =  \frac{5}{2} (16) \sqrt{5 + 4.472135956}

A =  40 \sqrt{9.472135956}

A = 40(3.077683537)

A = 123.1073415cm^{2}

emmasim [6.3K]3 years ago
5 0

The area is 123.1073415 cm
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6. You want to save $1,000,000 in 40 years at a 3.5% interest rate. What is the principal (initial amount) you need to invest? R
labwork [276]

Answer:

When you deposit money in a bank, the bank usually pays you for the use of your money. When you take out a loan from a bank, you have to pay the bank for the use of their money. In both cases, the money paid is called the interest. It is usually expressed as a percent. Here we shall look at a formula for simple interest.

3 0
3 years ago
Physics students were modeling the height of a ball once it was dropped from the top of a 10 foot ladder. The
julsineya [31]

Answer:

<em>Interval notation: [0, 2.236]</em>

<em>Set Builder notation: </em>\{t\ |\ 0\le t\le 2.236\}

Step-by-step explanation:

Given that:

Equation of height of the ball dropped from a height of 10 foot, as:

h(t) = 10 - 2t^2

Where t is the time since the ball was dropped.

To find:

The domain of the function in Interval and set builder notation.

Solution:

<em>Domain of a function </em>is defined as the set of valid input values that can be given to the function for which the function is defined.

Here, input is time.

We can not have negative values for time.

Therefore, starting value for time will be <em>0 seconds</em>.

And the value of height can not be lesser than that of 0 ft.

0= 10 - 2t^2\\\Rightarrow 2t^2=10\\\Rightarrow t^2=5\\\Rightarrow t =2.236\ seconds

Maximum value for time can be 2.236 seconds.

Therefore the domain is:

<em>Interval notation: [0, 2.236]</em>

<em>Set Builder notation: </em>\{t\ |\ 0\le t\le 2.236\}

4 0
3 years ago
Find S18 for geometric series given a5=-6 and a2= -48
Ganezh [65]

an = a1r^(n-1)

a5 = a1 r^(5-1)

-6 =a1 r^4


a2 = a1 r^(2-1)

-48 = a1 r


divide

-6 =a1 r^4

----------------    yields   1/8 = r^3      take the cube root  or each side

-48 = a1 r                     1/2 = r


an = a1r^(n-1)

an = a1 (1/2)^ (n-1)

-48 = a1 (1/2) ^1

divide by 1/2

-96 = a1


an = -96 (1/2)^ (n-1)


the sum

Sn = a1[(r^n - 1/(r - 1)]

S18 = -96 [( (1/2) ^17 -1/ (1/2 -1)]

       =-96 [ (1/2) ^ 17 -1 /-1/2]

      = 192 * [-131071/131072]

 approximately -192

     

       

     

3 0
3 years ago
Two bicycle wheels are shown below which is closest to the circumference in inches of the larger wheel.
olganol [36]
We estimate the diameter of the larger wheel to be 24 to 25 inches.

The formula for the Circ. of a circle in terms of the diameter is C = pi*d.

Here, the Circ. of the larger wheel is approx C = pi(24 inches) = 24*pi inches,
or 

24(3.14) inches = 75.36 inches.   You must now choose from the four answer choices.  Which one is closes to 75.36 inches?
7 0
3 years ago
8 is to 32 as 1 is to
kati45 [8]

Answer:

1 is to 4

Step-by-step explanation:

the factor is 1-4 meaning 32÷8 is 4 so having 1 would mean the other factor is 4

5 0
3 years ago
Read 2 more answers
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