MATHEMATICS COLLEGE

A right triangle has side lengths a, b , and c as shown below. Use these lengths to find cosx , sinx and tanx. (GIVING BRAINLEST TO BEST ANSWER)​
A right triangle has side lengths a, b , and - 1

Answers

Answer 1
Answer:

9514 1404 393

Answer:

  • cos(x) = a/c
  • sin(x) = b/c
  • tan(x) = b/a

Step-by-step explanation:

The mnemonic SOH CAH TOA is intended to help you remember the relationships between triangle sides and trig functions. These abbreviations tell you that ...

  Sin = Opposite/Hypotenuse   ⇒   sin(x) = b/c

  Cos = Adjacent/Hypotenuse   ⇒   cos(x) = a/c

  Tan = Opposite/Adjacent   ⇒   tan(x) = b/a

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HELP ASAP ROCKY!!! will get branliest.​

Work out

1/3 + 2/9

Give your answer in its simplest form

Answers

Step-by-step explanation:

1/3 + 2/9 = 3/9 + 2/9 = 5/9

Topic: Fractions

If you like to venture further, feel free to check out my insta (learntionary). I'll be constantly posting math tips and notes! Thanks!

Answer:

5/9

Step-by-step explanation:

What is the y-intercept of y = -3x - 2​

Answers

This is written in slope-intercept form; y = mx + b

m = slope

b = y-intetcept

In the equation we are given;

m = -3

b = -2

Therefore, the y-intercept is -2

Best of Luck!

Answer:

-2

Step-by-step explanation:

y = mx + bis how slope intercept form is written. The "mx" is the slope while the "b" is the y-intercept. In the equation y = -3x -2, we can see that -2 is the y-intercept because it is the value of "b".

Television viewing reached a new high when the global information and measurement company reported a mean daily viewing time of hours per household. Use a normal probability distribution with a standard deviation of hours to answer the following questions about daily television viewing per household. a. What is the probability that a household views television between 3 and 9 hours a day (to 4 decimals)? b. How many hours of television viewing must a household have in order to be in the 2%top of all television viewing households (to 2 decimals)? hours c. What is the probability that a household views television more than hours a day (to 4 decimals)?

Answers

Answer:

(a) The probability that a household views television between 3 and 9 hours a day is 0.5864.

(b) The viewing hours in the top 2% is 13.49 hours.

(c) The probability that a household views television more than 5 hours a day is 0.9099.

Step-by-step explanation:

Let X = daily viewing time of of television hours per household.

The mean daily viewing time is, μ = 8.35 hours.

The standard deviation of daily viewing time is, σ = 2.5 hours.

The random variable X is Normally distributed.

To compute the probability of a Normal random variable, first we need to compute the raw scores (X) to z-scores (Z).

z=(x-\mu)/(\sigma)

(a)

Compute the probability that a household views television between 3 and 9 hours a day as follows:

P(3<X<9)=P((3-8.35)/(2.5)<(X-\mu)/(\sigma)<(9-8.35)/(2.5))

                      =P(-2.14<Z<0.26)\n=P(Z<0.26)-P(Z<-2.14)\n=0.60257-0.01618\n=0.58639\n\approx0.5864

Thus, the probability that a household views television between 3 and 9 hours a day is 0.5864.

(b)

Let the viewing hours in the top 2% be denoted by x.

Then,

P (X > x) = 0.02

⇒ P (X < x) = 1 - 0.02

    P (X < x) = 0.98

⇒ P (Z < z) = 0.98

The value of z for the above probability is:

z = 2.054

*Use a z-table for the value.

Compute the value of x as follows:

z=(x-\mu)/(\sigma)\n2.054=(x-8.35)/(2.5)\nx=8.35+(2.054* 2.5)\nx=13.485\nx\approx13.49

Thus, the viewing hours in the top 2% is 13.49 hours.

(c)

Compute the probability that a household views television more than 5 hours a day as follows:

P(X>5)=P((X-\mu)/(\sigma)>(5-8.35)/(2.5))

                =P(Z>-1.34)\n=P(Z<1.34)\n=0.90988\n\approx0.9099

Thus, the probability that a household views television more than 5 hours a day is 0.9099.

Helen rolls a dice and flips a coin.Calculate the probability that she gets a 4 and a tail.

Answers

Answer:

1/12

Step-by-step explanation:

Probability of 4 = 1/6

Probability tail = 1/2

Multiply them

Answer:

1/12

Step-by-step explanation:

Probability of 4 = 1/6

Probability tail = 1/2

1/6 x 1/2 = 1/12

Find the slope given A(1, -1) B(-2, 1)

Answers

Answer:-2 /3

Step-by-step explanation: 1-(-1)/-2-1

1+1/-3

2/-3

-2/3

Write the answer and solution ?

Answers

Answer

4. E

use PEMDAS

5. 36+18=54  so C

plug in x

6. 15=5x

x=3 so C

11. B

break the absolute value into pos and neg components

12.D

is not equal to so open circle

2x=14

2x=8

so 4 and 7 with open circles

Step-by-step explanation:
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