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3 years ago

Prove that:tan80°=2tan 70°+ tan10°

Mathematics

2 answers:

Angelina_Jolie [31]3 years ago

8 0

Tan80=5.67
2tan70+tan10=5.67

So tan80=2tan70+tan10

inn [45]3 years ago

4 0

Answer:

kunjal brother answer is correct hope it's help you have a good day ☺☺ keep smiling be happy stay safe ☺☺

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In triangle JKL, angle K is a right angle. Write the sine of angle J as a ratio of side lengths

Evgen [1.6K]

Answer:

$Sin J =\frac{|KL|}{|JL|}$

Step-by-step explanation:

In Right Triangle JKL, with Right angle at K

$sin \theta =\frac{Opposite}{Hypotenuse} \\$

Opposite =|KL|

Hypotenuse=|JL|

Therefore, sin J as a ratio of side lengths is:

$Sin J =\frac{|KL|}{|JL|}$

5 0

3 years ago

A data set lists weights (lb) of plastic discarded by households. The highest weight is 5.24 lb, the mean of all of the weight

Vladimir [108]

Answer:

a) 3.308 lb

b) That difference is 2.91 standard deviations.

c) $Z = 2.91$

d) We have that $Z = 2.91 > 2$ , so the weight of 5.24lb is significantly high.

Step-by-step explanation:

The z-score formula is given by:

$Z = \frac{X - \mu}{\sigma}$

In which: X is the weight we are going to find the z-score of, $\mu$ is the mean of all the weights and $\sigma$ is the standard deviation of all the weights.

The problems gives these following informations:

The highest weight is 5.24 lb

The mean of all the weights is 1.932 lb

The standard deviation of all the weights is 1.135 lb

a. What is the difference between the weight of 5.24 lb and the mean of the weights?

$D = 5.24lb - 1.932lb = 3.308lb$

b. How many standard deviations is that [the difference found in part (a)]?

The difference found in (a) is 3.308lb.

This can be calculated by a simple rule of three.

1 standard deviation - 1.135lb

x standard deviations - 3.308lb

$1.135x = 3.308$

$x = \frac{3.308}{1.135}$

$x = 2.91$

That difference is 2.91 standard deviations.

c. Convert the weight of 5.24 lb to a z score.

We have that:

$X = 5.24, \mu = 1.932$ and $\sigma = 1.135$ . So:

$Z = \frac{X - \mu}{\sigma} = \frac{5.24 - 1.932}{1.135} = 2.91$

3 0

3 years ago

ASAP ANSWER PLEASE :)

Hunter-Best [27]

It is 3.33%

Origninally, the decimal continues with repetitive 3s.

4 0

3 years ago

Find the probability of rolling a 66 -sided dice and getting a number that is a divisor of 2020

boyakko [2]

Answer:

2/3 or 0.66 repeated

Step-by-step explanation:

Since 2022 is only divisible by 1,2,4, and 5, the probability of getting a number that is a divisor of 2020 is 4/6, simplified to 2/3 or %0.66.

8 0

2 years ago

The Red Bus Company charges $150 plus 72 per hour to rent a bus the blue bus company charges $240 plus 54 per hour for what numb

IgorLugansk [536]

Let's start off by writing equations for each
Let's say the Red Bus Company is Company Red, and the Blue Bus Company is Company Blue to keep it short.
Company Red = 150 + 72(h) whereas h stands for how many hours
Company Blue = 240 + 54(h) whereas h stands for how many hours
Now, we plug in some numbers starting from 1 to see when the companies will match, however, I'll only do 2 examples to keep this short.
Let's start off at 5 hours (you can start off at any, but I prefer to be in the middle to see whether which company surpasses the other in cost and we can build off from there
Company Red:
150 + 72(5)
72 * 5 = 360
150 + 360 = 510
Company Blue:
240 + 54(5)
53 * 5 = 270
240 + 270 = 510
Wow, actually it looks like they charge will be the same after 5 hours. No need to do a second equation since we got it on our first try.

8 0

4 years ago

Prove that:tan80°=2tan 70°+ tan10°​

Prove that:tan80°=2tan 70°+ tan10°