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3 years ago

6. The value of (tan 1° tan2º tan 3º ... tan 89°) is

Mathematics

1 answer:

Thepotemich [5.8K]3 years ago

4 0

Answer:

Step-by-step explanation:

Using the trigonometric identities

tan(90 - x) = cotx , cotx = $\frac{1}{tanx}$

Given

tan1tan2tan3....................... tan87tan88tan89

= tan1tan2tan3............... tan(90-3)tan(90-2)(tan90 - 1)

= tan1tan2tan3.............. cot3cot2cot1

= tan1cot1tan2cot2tan3cot3 ........................

= 1 × 1 × 1 ×....................... × 1

= 1

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A cell phone cost $210 a battery charger costs $15 and batteries cost $5 .what is the sales tax and total price for purchasing t

Savatey [412]

The total price with sales tax is $ 246.1

<h3><u>Solution:</u></h3>

Cost of cellphone = $ 210

Cost of battery charger = $ 15

Cost of batteries = $ 5

So total cost can be calculated by adding cost of cellphone and Cost of battery charger and Cost of batteries

Total cost = 210 + 15 + 5 = $ 230

Given that sales tax is 7%

sales tax = 7% of total cost

sales tax = 7 % of 230

$\text {sales tax }=\frac{7}{100} \times 230=16.1$

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Thus the total price with sales tax is $ 246.1

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2 years ago

The sum of two numbers is -47 and their difference is one. Find the numbers. Separate with a comma.

Rudik [331]

Answer:

-23, -24

Step-by-step explanation:

Adding negative numbers gets you another negative number. Therefore the numbers must be -23 and -24.

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2 years ago

1. A luge race is very dangerous, and a crash can cause serious injuries. The league requires anyone who has a crash to have a t

antiseptic1488 [7]

Answer:

0.7061 = 70.61% probability she will have her first crash within the first 30 races she runs this season

Step-by-step explanation:

For each race, there are only two possible outcomes. Either the person has a crash, or the person does not. The probability of having a crash during a race is independent of whether there was a crash in any other race. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

A certain performer has an independent .04 probability of a crash in each race.

This means that $p = 0.04$

a) What is the probability she will have her first crash within the first 30 races she runs this season

This is:

$P(X \geq 1) = 1 - P(X = 0)$

When $n = 30$

We have that:

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{30,0}.(0.04)^{0}.(0.96)^{30} = 0.2939$

$P(X \geq 1) = 1 - P(X = 0) = 1 - 0.2939 = 0.7061$

0.7061 = 70.61% probability she will have her first crash within the first 30 races she runs this season

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2 years ago

Solve for n. 2/3(1+n)=-1/2n

notka56 [123]

Answer:

=−4/7

Step-by-step explanation:

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3 years ago

Find the midpoint of the segment with the given endpoints.

andrew-mc [135]

To solve for the midpoint of the segment we use the equation that is given as:

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For the points given,

(x1 + x2 / 2) , (y1 + y2 / 2)
(3+ 2 / 2) , (-5 + 9 / 2)
(5/2 , 2) or (2.5 , 2)

Hope this answers the question. Have a nice day. Feel free to ask more questions.

7 0

3 years ago

Read 2 more answers

6. The value of (tan 1° tan2º tan 3º ... tan 89°) is​

6. The value of (tan 1° tan2º tan 3º ... tan 89°) is