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3 years ago

A pentagon has a perimeter of 50. If every side is halved, what is the new perimeter?

Mathematics

1 answer:

vivado [14]3 years ago

7 0

A
5/4 is 12.5
12.5/2 is 6.25
6.25*4 is 25

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Find the sum of the following infinite geometric series.

Crazy boy [7]

Answer:

Final answer is $\frac{80}{3}$ .

Step-by-step explanation:

We have been given an infinite geometric series.

Now we need to find it's sum.

common ratio $r=-\frac{1}{5}$ .

plug n=1 to get the first term

$a_n=32\left(-\frac{1}{5}\right)^{\left(n-1\right)}$

$a_1=32\left(-\frac{1}{5}\right)^{\left(1-1\right)}$

$a_1=32\left(-\frac{1}{5}\right)^{\left(0\right)}$

$a_1=32\left(1\right)$

$a_1=32$

Now plug these values into infinite sum formula

$S_{\infty}=\frac{a_1}{1-r}=\frac{32}{1-\left(-\frac{1}{5}\right)}=\frac{32}{1.2}=\frac{320}{12}=\frac{80}{3}$

Hence final answer is $\frac{80}{3}$ .

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3 years ago

From her window, Carmella looks up to the top of a neighboring building at an angle of 46°. Her

Vinil7 [7]

Answer:

$270.3\ ft$

Step-by-step explanation:

see the attached figure to better understand the problem

step 1

In the right triangle ADE

Find the value of h1

See the attached figure

h1=AD

$tan(25\°)=\frac{h_1}{180}$

Solve for h1

$h_1=(180)tan(25\°)\\h_1=83.94\ ft$

step 2

In the right triangle ABC

Find the value of h2

See the attached figure

h2=BC

$tan(46\°)=\frac{h_2}{180}$

Solve for h2

$h_2=(180)tan(46\°)\\h_2=186.40\ ft$

step 3

Find the height of the neighboring building

we know that

The height of the neighboring building is equal to

$h=h_1+h_2$

substitute the values

$h=83.94+186.40=270.34\ ft$

Round to the nearest tenth of a foot

$h=270.3\ ft$

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3 years ago

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creativ13 [48]

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klio [65]

Answer:

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olganol [36]

Answer:

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Step-by-step explanation:

50 pizzas.

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