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puteri [66]
3 years ago
5

A toy company produces two kites whose shapes are geometrically similar. Find the length of the missing side of the smaller kite

Mathematics
1 answer:
docker41 [41]3 years ago
5 0
M=30/22,5=1,33
m=25/x=1,33. ...>x=25/1,33=18,7
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Look at the image. (calculus)
mash [69]
<h3>Answer: Choice H)  2</h3>

=============================================

Explanation:

Recall that the pythagorean trig identity is \sin^2 x + \cos^2x = 1

If we were to isolate sine, then,

\sin^2 x + \cos^2x = 1\\\\\sin^2 x = 1-\cos^2x\\\\\sin x = \sqrt{1-\cos^2x}\\\\

We don't have to worry about the plus minus because sine is positive when 0 < x < pi/2.

Through similar calculations, \cos x = \sqrt{1-\sin^2x}\\\\

Cosine is also positive in this quadrant.

-------------

So,

\frac{\sqrt{1-\cos^2x}}{\sin x}+\frac{\sqrt{1-\sin^2x}}{\cos x}\\\\\frac{\sin x}{\sin x}+\frac{\cos x}{\cos x}\\\\1+1\\\\2

Therefore,

\frac{\sqrt{1-\cos^2x}}{\sin x}+\frac{\sqrt{1-\sin^2x}}{\cos x}=2

is an identity as long as 0 < x < pi/2

5 0
2 years ago
Read 2 more answers
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
−2⋅f(−6)−7⋅g(−7)=<br> what is the answerrr
Mrrafil [7]

Answer:

idk know dude I'm sorry

4 0
3 years ago
Peter bought 8 lemons for $6 .each lemon was the same price .what was the cost for 1 lemon
Triss [41]

Answer:

0.75 or 75 cents!

Hope this helps!

5 0
3 years ago
Read 2 more answers
Divide the fractions by dividing the numerators.
bonufazy [111]

Answer:

3/5

Step-by-step explanation:

You divide 1 and 3. Keep the denominator since it is the same number

Hope this was helpful, Have a Great Day!!

3 0
3 years ago
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