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alukav5142 [94]
3 years ago
11

What is the area of the polygon below?

Mathematics
1 answer:
Juliette [100K]3 years ago
5 0

Answer:

20 units²

Step-by-step explanation:

I have included the answer as well as an explanation and formula above. Note that the formula is only for area of trapeziums/trapezoids

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In his first year, a math teacher earned $32,000. Each successive year, he
Ivan

Answer:

Step-by-step explanation:

Each successive year, he

earned a 5% raise. It means that the salary is increasing in geometric progression. The formula for determining the nth term of a geometric progression is expressed as

Tn = ar^(n - 1)

Where

a represents the first term of the sequence(amount earned in the first year).

r represents the common ratio.

n represents the number of terms(years).

From the information given,

a = $32,000

r = 1 + 5/100 = 1.05

n = 20 years

The amount earned in his 20th year, T20 is

T20 = 32000 × 1.05^(20 - 1)

T20 = 32000 × 1.05^(19)

T20 = $80862.4

To determine the his total

earnings over the 20-year period, we would apply the formula for determining the sum of n terms, Sn of a geometric sequence which is expressed as

Sn = (ar^n - 1)/(r - 1)

Therefore, the sum of the first 20 terms, S20 is

S20 = (32000 × 1.05^(20) - 1)/1.05 - 1

S20 = (32000 × 1.653)/0.05

S20 = $1057920

3 0
3 years ago
What is the surface area of the cylinder with height 2 yd and radius 3 yd? Round your answer to the nearest thousandth.
olasank [31]
<h2>Given :</h2>

  • height (h) = 2 yd

  • radius (r) = 3 yd

<h2>Solution :</h2>

\boxed{ \mathrm{Surface \:  Area = 2\pi r(h +r )}}

  • 2 \times 3.14 \times 3 \times (3 + 2)

  • 18.84 \times 5

  • \boxed{\mathrm{94.2 \: yd {}^{2} }}

_____________________________

\mathrm{ \#TeeNForeveR}

3 0
3 years ago
Please answer!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
mezya [45]

Answer:

D

Step-by-step explanation:

You have 2 5 12 13 right triangles.

x = 2 * 5

x = 10

4 0
3 years ago
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Convert the complex number to polar form: 10 + 6i
ziro4ka [17]
Use photomath,math lenses,mathaway u welcome.
7 0
4 years ago
Consider the triangle graphed below. classify it by its angles
jeka94
Correct answer is RIGHT Bc it has a right angle
7 0
3 years ago
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