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Alex_Xolod [135]
3 years ago
11

Hello I am in a math 95 class. my names drew and I was looking at a problem having to do with exponential equations .

Mathematics
1 answer:
kaheart [24]3 years ago
5 0
If it's an exponential model, then we have the original value (1.32 million, or t=0) times something (we can call this y) to the power of another something (we can call it x) equals 2008. Since 2008-2006=2, it may be wise to separate it into 2 year increments. Therefore, if 1.32*(y^x)=1.7, then we can write y as the change every 2 years (in terms of the ratio, or 1.7/1.32 due to that 1.32*1/7/1.32=1.7 since 2 years is the first increment and x is therefore 1) and x as the number of 2 year differences). Since y=1.7/1.32 and 2024-2006=18 (to get it into 2 year increments, we have 18/2=9), we have 1.32*((1.7/1.32)^9)=around <span>12.87 million people</span>
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Please help!
UkoKoshka [18]

The values of x in the triangles and the angles in the rhombus are illustrations of tangent ratios

  • The values of x in the triangles are 21.4 units, 58 degrees and 66 degrees
  • The angles in the rhombus are 44 and 46 degrees, respectively

<h3>How to determine the values of x?</h3>

<u>Triangle 1</u>

The value of x is calculated using the following tangent ratio

tan(25) = 10/x

Make x the subject

x = 10/tan(25)

Evaluate

x = 21.4

<u>Triangle 2</u>

The value of x is calculated using the following tangent ratio

tan(x) = 8/5

Evaluate the quotient

tan(x) = 1.6

Take the arc tan of both sides

x = arctan(1.6)

Evaluate

x = 58

<u>Triangle 3</u>

The value of x is calculated using the following tangent ratio

tan(x) = 0.34/0.15

Evaluate the quotient

tan(x) = 2.27

Take the arc tan of both sides

x = arctan(2.27)

Evaluate

x = 66

<h3>How to calculate the angles of the rhombus?</h3>

The lengths of the diagonals are:

L1 = 2 in

L2 = 5 in

Represent the angles with x and y.

The measures of the angles are calculated using the following tangent ratios

tan(0.5x) = 2/5 and y = 90 - x

Evaluate the quotient

tan(0.5x) = 0.4

Take the arc tan of both sides

0.5x = arctan(0.4)

Evaluate

0.5x = 22

Divide by 0.5

x = 44

Recall that:

y = 90 - x

This gives

y = 90 - 44

Evaluate

y = 46

Hence, the angles in the rhombus are 44 and 46 degrees, respectively

Read more about tangent ratio at:

brainly.com/question/13347349

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