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Ivahew [28]
3 years ago
8

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)​

Mathematics
1 answer:
VashaNatasha [74]3 years ago
4 0

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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An octagon has seven sides which have a length of k feet. The eighth side has a length of 3.9 feet, as shown below. The perimete
diamong [38]

Answer:

K is 3.4 feet

Step-by-step explanation:

To find the perimeter of the octagon, we add up the lengths of all the sides

For this particular octagon;

7 * k + 3.9 = 27.7

7k + 3.9 = 27.7

7k = 27.7-3.9

7k = 23.8

k = 23.8/7

k = 3.4 feet

7 0
3 years ago
Use the distance formula to find the distance between the points given.
masha68 [24]

The distance between the points is 4\sqrt{13}

Step-by-step explanation:

The formula of the distance between two points (x_{1},y_{1}) and

(x_{2},y_{2}) is d=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}

To find the distance between two point:

  • Put one of the two point as (x_{1},y_{1})
  • Put the other point as (x_{2},y_{2})
  • Substitute then in the rule of the distance and calculate the distance

∵ The two points are (18 , -2) and (6 , -10)

- Put (18 , -2) as (x_{1},y_{1}) and (6 , -10) as (x_{2},y_{2})

∴ x_{1} = 18 and x_{2} = 6

∴ y_{1} = -2 and y_{2} = -10

- Substitute them in the rule below

∵ d=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}

∴ d=\sqrt{(6-18)^{2}+(-10--2)^{2}}

∴ d=\sqrt{(-12)^{2}+(-10+2)^{2}}

∴ d=\sqrt{(-12)^{2}+(-8)^{2}}

∵ (-12)² = 144 and (-8)² = 64

∴ d=\sqrt{144+64}

∴ d=\sqrt{208}

∵ \sqrt{208}=4\sqrt{13}

∴ d=4\sqrt{13}

The distance between the points is 4\sqrt{13}

Learn more:

You can learn more about the distance between two points in brainly.com/question/3969582

#LearnwithBrainly

5 0
4 years ago
Which shows the decimals 10.9, 1.09, and 100.09 written in order from least to greatest?
Harlamova29_29 [7]

Answer:<u><em> From least to greatest, we get: 0.6010, 6.010, 6.100. Ordering these decimals from least to greatest we get: 0.601, 6.01, 6.1. Sometimes it is helpful to place a number in a circle to the right of each decimal you are trying to order.</em></u>

<u><em>Step-by-step explanation:</em></u>

4 0
4 years ago
What is the mean of the data? *<br> 19, 22, 22, 22, 24, 24, 26, 28, 28, 30
kykrilka [37]

We have an even list of numbers.

List from small to large.

19, 22, 22, 22, 24, 24, 26, 27, 28, 30

Add the two center numbers and divide by 2.

Let m = mean

m = (24 + 24)/2

m = 48/2

m = 24

The answer is 24.

5 0
3 years ago
Can you guys help me?
9966 [12]
  • Answer:

<em>5</em>

  • Step-by-step explanation:

<em>(6 + 1)² - 4 / 1 + (4² : 2) = </em>

<em>= (7² - 4) / (1 + 16 : 2)</em>

<em>= (49 - 4) / (1 + 8)</em>

<em>= 45 / 9</em>

<em>= 5</em>

6 0
4 years ago
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