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antiseptic1488 [7]
3 years ago
6

I’m confused on this one

Mathematics
1 answer:
UkoKoshka [18]3 years ago
8 0

The ratios in a 30-60-90 triangle are 1 : \sqrt[2]{3}: 2. Therefore, since the hypotenuse is the longest and it is 10, 10 / 2 is 5 meaning 5 is the smallest side.

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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
Hurry Please! :)
Sladkaya [172]
Area = b*h and in some cases * 2 so you need to do this, 64*52 + 40*28= 4448 yd2
8 0
3 years ago
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Find two consecutive integers whose sum is -13
Lemur [1.5K]

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4 0
3 years ago
Beth has $50 to spend on new clothes during a tax free weekend. She
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C.

Step-by-step explanation:

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First, you'll have to find how much it costs for one bottle of juice.
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8 0
3 years ago
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