An irregular polygon is shown below:

Mathematics

2 answers:

lapo4ka [179]3 years ago

6 0

Answer:

15 Square units

Step-by-step explanation:

Nimfa-mama [501]3 years ago

3 0

It’s 15 square units

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Dylan just started a running plan where he runs 14 miles the first week and then increases the number of miles he runs by 10% ea

Vladimir79 [104]

Answer:

36 miles

Step-by-step explanation:

Given - Dylan just started a running plan where he runs 14 miles the first

week and then increases the number of miles he runs by 10% each

week.

To find - If he keeps up this plan for 11 weeks, how many total miles would

Dylan have run ?

Proof -

1st week = 14 miles

2nd week = 14 + 10% of 14 = 14 + 1.4 = 15.4

3rd week = 15.4 + 10% of 15.4 = 15.4 + 1.54 = 16.94

4th week = 16.94 + 10% of 16.94 = 16.94 + 1.694 = 18.634

5th week = 18.634 + 10% of 18.634 = 18.634 + 1.8634 = 20.4974

6th week = 20.4974 + 10% of 20.4974 = 20.4974 + 2.04974 = 22.54714

7th week = 22.54714 + 10% of 22.54714 = 22.54714 + 2.254714 = 24.801857

8th week = 24.801857 + 10% of 24.801857 = 24.801857 + 2.4801857 = 27.2820427

9th week = 27.2820427 + 10% of 27.2820427 = 27.2820427+ 2.72820427 = 30.01024697

10th week = 30.01024697 + 10% of 30.01024697 = 30.01024697 + 3.001024697 = 33.01127167

11th week = 33.01127167 + 10% of 33.01127167 = 33.01127167 + 3.301127167 = 36.31239884 ≈ 36

∴ we get

Total miles Dylan would run = 36 miles.

8 0

2 years ago

The Reunion Tower is one of the most recognizable landmarks in Dallas, Texas due to the giant sphere that sits atop the structur

ValentinkaMS [17]

The volume of a sphere uses the following formula:

$V = \frac{4}{3}\pi r^{3}$

Because the question asks to use 3.14 in place of pi, the formula will now look like this:

$V = (\frac{4}{3})(3.14)r^{3} = 4.18\overline{66} r^{3}$

We are given a diameter of 118 feet. The radius is half of the diameter, so divide the diameter by 2 to find the radius:

$118 \div 2 = 59$
$r = 59$

Plug this value into the formula, and solve with a calculator:

$4.18\overline{66} \times 59^3 = 4.18\overline{66} \times 205379 = 859853.413$

Although our result is one cubic foot off, the answer is <span>A. 859,852ft^3.

(859,852 is the result if the constant in the given formula is 4.18666, but the result with infinitely repeating numbers is 859,853.)</span>

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3 years ago

Given: Two distinct circles that are tangent to each other at a common point. How many tangent lines can be drawn that touch bot

Zanzabum

As shown in the model below, there are three lines.