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2 years ago

Use SOHCAHTOA to find the side measure. Show work. Round to one decimal place.

Mathematics

1 answer:

Nadusha1986 [10]2 years ago

4 0

The value of the n is 64.04 after applying the tan ratio which is opposite to adjacent (TOA)

<h3>What is trigonometry?</h3>

Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.

We have a right angle triangle shown in the picture.

We can use SOHCAHTOA to find the unknown length.

Using the ratio of tan which is opposite to adjacent (TOA)

tan8 = 9/n

n = 64.038 ≈ 64.04

Thus, the value of the n is 64.04 after applying the tan ratio which is opposite to adjacent (TOA)

Learn more about trigonometry here:

brainly.com/question/26719838

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3 years ago

The population of rabbits on an island is growing exponentially. In the year 1991, the population of rabbits was 9100, and by 19

lisabon 2012 [21]

Answer:

$39,223\ rabbits$

Step-by-step explanation:

we know that

The equation of a exponential growth function is given by

$y=a(1+r)^x$

where

y is the population of rabbits

x is the number of years since 1991

a is the initial value

r is the rate of change

we have

$a=9,100$

substitute

$y=9,100(1+r)^x$

For the year 1998

the number of years is equal to

x=1998-1991=7 years

we have the ordered pair (7,18,000)

substitute in the exponential equation and solve for r

$18,000=9,100(1+r)^7$

$(18,000/9,100)=(1+r)^7$

elevated both sides to 1/7

$(1+r)=1.1023$

$r=0.1023$

therefore

$y=9,100(1+0.1023)^x$

$y=9,100(1.1023)^x$

Predict the population of rabbits in the year 2006

Find the value of x

x=2006-1991=15 years

substitute the value of x in the equation

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$y=39,223\ rabbits$

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3 years ago

What is the expected value of the above spinner?

vova2212 [387]

A spinner, is divided in half, vertically. The right side, is labeled For the spinner below, calculate the expected value. Answer: 1 4 ( − 3 ) + 1 4 ( 10 ) ...

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3 years ago

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3 years ago

Please help me with this question!!!!!

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Answer:

Equation of line in slope-intercept form that passes through (4, -8) and is perpendicular to the graph $y= \frac {2}{5} x - 3$ is below

$y = - \frac {5}{2} x + 2$

Step-by-step explanation:

Slope of the equation $y= \frac{2}{5} x -3$ is $m_1 = \frac{2}{5}$

Since slopes of perpendicular lines are negative reciprocal of each other, therefore slope of other line is given as

$m_2 = - \frac {1}{m_1} = - \frac {5}{2}$

Equation of line in point slope form is given as

$y-y_1=m_2(x-x_1)$

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Simplifying it further

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3 years ago