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jek_recluse [69]
2 years ago
9

The perimeter of a rectangle is 34 units. Its width is 6.5 units.

Mathematics
1 answer:
erastovalidia [21]2 years ago
6 0

Answer:

please mark me brainlist

Step-by-step explanation:

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How many sides has an equiangular polygon if one of its exterior angles is 25 5/7?
lys-0071 [83]
Step One
Figure out the interior angle
25 5/7 = 25.714285 repeating. The interior angle is the supplement of this angle.

180 - 25.714285 = 154.2857
The formula relating the number of sides and the interior equal angle is

interior equal angle = 180 ( 1 - 2/n) where n is the number of sides. (Google equiangular polygon to find this formula.)

154.2857 / 180 = 1 - 2/n) 
0.8571428 = 6/7 = 1 - 2/n
1/7 = 2/n
n = 14 sides
This figure is regular as well as equiangular.
6 0
2 years ago
Elizabeth is sketching a copy of the flag shown. The dimensions of the drawing are one-third those of the actual flag. If the ar
spayn [35]

Answer:

360 in.

Step-by-step explanation:

In order to get this answer, you have to multiply 5 and 8 by 3 because the drawing is 1/3 of the actual flag.

5 x 3 = 15

8 x 3 = 24

So, 24 x 15 = 360 in.

Hope this helps! :)

8 0
2 years ago
3^x ( x^2 -3) i don't know how to solve this problem
geniusboy [140]
3ˣ (x² - 3)

Basically, just multiply everything together.

Step 1 : 3x × x² = 3x³ because when multiplying exponents, all you're really doing is adding them on top. So, x + 2x = 3x! But, they are exponents, so you get 3x³.

Step 2 : 3x ˣ × (-3) = -9ˣ

Now, our new question is : 3x³ - 9x

You wouldn't simplify this because x³ is NOT the same as x.

~Hope I helped!~
7 0
2 years ago
The function in Exercise represents the rate of flow of money in dollars per year. Assume a 10-year period at 8% compounded cont
anzhelika [568]

Answer:

a) The present value is 688.64 $

b) The accumulated amount is 1532.60 $

Step-by-step explanation:

<u>a)</u><u> The preset value equation is given by this formula:</u>

P=\int^{T}_{0}f(t)e^{-rt}dt

where:

  • T is the period in years (T = 10 years)
  • r is the annual interest rate (r=0.08)

So we have:

P=\int^{T}_{0}(0.01t+100)e^{-rt}dt

Now we just need to solve this integral.

P=\int^{T}_{0}0.01te^{-rt}dt+\int^{T}_{0}100e^{-rt}dt

P=e^{-0.08t}(-1.56-0.13t)|^{10}_{0}+1250e^{-0.08t}|^{10}_{0}

P=0.30+688.34=688.64 $

The present value is 688.64 $

<u>b)</u><u> The accumulated amount of money flow formula is:</u>

A=e^{r\tau}\int^{T}_{0}f(t)e^{-rt}dt

We have the same equation but whit a term that depends of τ, in our case it is 10.

So we have:

A=e^{r\tau}\int^{T}_{0}(0.01t+100)e^{-rt}dt=e^{0.08\cdot 10}P

A=e^{0.08\cdot 10}688.64=1532.60 $

The accumulated amount is 1532.60 $

Have a nice day!

6 0
3 years ago
One flower is randomly taken from a vase containing 5 red
nekit [7.7K]
3/5 flowers are red
So, 3/5 = 0.6 which is 60%
Therefore, there is a 60% chance a red flower will be picked
3 0
3 years ago
Read 2 more answers
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