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3 years ago

If cos=3/5, then tan=

2 answers:

6 0

This is a 3-4-5 triangle.

Remember,
SOH-CAH-TOA

S(ine) = O(pposite)/H(ypotenuse)
C(osine) = A(djacent)/H(ypotenuse)
T(angent) = O(pposite)/A(djacent)

In Cosine, the adjacent = 3, and the Hypotenuse = 5

Hypotenuse is the longest side.

3,4,5 is the triangle that fits inside, therefore, the Opposite is 4, and Adjacent is 3

T(angent) = O(pposite)/A(djacent)

Plug in the numbers

T = 4/3

tan = 4/3 is your answer

hope this helps

Kazeer [188]3 years ago

5 0

So cosФ = 3/5 means that ratio of length of adjacent side to length of hypotenuse side is 3:5

So then we can assume adjacent side is 3 and hypotenuse is 5.

By Pythagoras<span>' </span>Theorem, we have √(5² - 3²) = 4, so then length of opposite side would be 4.

Now tanФ is ratio of length of opposite side to length of adjacent side, which would be 4/3.

Final answer: 4/3

Hope this helps.

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A certain vehicle emission inspection station advertises that the wait time for customers is less than 8 minutes. A local reside

svlad2 [7]

Answer:

$t=\frac{7.43-8}{\frac{3.6}{\sqrt{64}}}=-1.27$

The degrees of freedom are given by:

$df=n-1=64-1=63$

The p value can be calculated like this:

$p_v =P(t_{(63)}$

For this case since the p value is higher than the significance level we have enough evidence to conclude that the true mean for the wait time is not significantly less than 8 minutes

Step-by-step explanation:

Information given

$\bar X=7.43$ represent the sampke mean in minutes

$s=3.6$ represent the sample standard deviation

$n=64$ sample size

$\mu_o =8$ represent the value to verify

$\alpha=0.005$ represent the significance level

t would represent the statistic (variable of interest)

$p_v$ represent the p value

System of hypothesis

For this case we are trying to proof if inspection station advertises that the wait time for customers is less than 8 minutes, the system of hypothesis would be:

Null hypothesis: $\mu \geq 8$

Alternative hypothesis: $\mu < 8$

Since the population deviation is not known the statistic can be calculated with:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

The statistic for this case is given by:

$t=\frac{7.43-8}{\frac{3.6}{\sqrt{64}}}=-1.27$

The degrees of freedom are given by:

$df=n-1=64-1=63$

The p value can be calculated like this:

$p_v =P(t_{(63)}$

For this case since the p value is higher than the significance level we have enough evidence to conclude that the true mean for the wait time is not significantly less than 8 minutes

5 0

3 years ago

Name a possible value for w that is a solution to w > 30, but is not a solution to w < 50. Thank you in advance for the he

MrMuchimi

Answer:

i dont know

Step-by-step explanation:E

4 0

3 years ago

A triangle has an angle that measures 80°. The other two angles are in a ratio of 7:13. What are the measures of those two angle

kap26 [50]

The angles are B and C.

The three angles add up to 180º
A=80º
B
C

A+B+C=180º
80º+B+C=180º
B+C=180º-80º
B+C=100º (1)

The ratio between A and B is 7/13 ; therefore:
B/C=7/13 ⇒B=7C/13 (2)

With the equations (1) and (2), we make a system of equations:

B+C=100
B=7C/13

We can solve this system of equations by substitution method:
7C/13 + C=100
least common multiple=13
7C+13C=1300
20C=1300
C=1300/20
C=65

B=7C/13
B=7*65/13
B=455/13
B=35º

Answer: The measures of those two angles are 65º and 35º.

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3 years ago

Which of the following is an arithmetic sequence?

lina2011 [118]

Answer:

Step-by-step explanation:

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3 years ago

Plant A is 25 ft tall and plant B is 20 ft tall. Plant A grows 2 ft per week and Plant B grows 2 ft perweek. In how many weeks w

NARA [144]

Answer:

It would be 4 weeks hope that

Step-by-step explanation:

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4 years ago