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1 year ago

What are the values of the trigonometric ratios for this triangle?

Mathematics

1 answer:

nika2105 [10]1 year ago

6 0

Answer:

sin = o/h = 5/13

cos = a/h = 12/13

tan = o/a = 5/12

o - opposite

a- adjacent

h - hypotenuse

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Can someone help with 5 please?

borishaifa [10]

The answer should be 8x^3-36x^2+54x-27
To get this you have to do (2x-3)(2x-3)(2x-3) and distribute through each parenthesis. Hope this helps

4 0

2 years ago

The quotient of the sum of 2t and 2 and twice the cube of s

Vladimir79 [104]

The equation according to the given verbal sentence is $\frac{2 t+2}{2 s^{3}}$ (after solving this $\frac{t+1}{s^{3}}$ ).

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

Rewrite the given verbal sentence and so it will be easier to translate.

Given: The quotient of the sum of 2 t and 2 and twice the cube of s

sum of 2 t and 2 can be written as

2 t + 2

twice the cube of s

$2 s^{3}$

Now, combine the above according to the given verbal. The quotient of the sum of 2 t and 2 and twice the cube of s means,

2 t + 2 divided by $2 s^{3}$

Now, the equation would be $\frac{2 t+2}{2 s^{3}}$

When solving this equation, we get

$\frac{2(t+1)}{2 s^{3}}=\frac{t+1}{s^{3}}$

8 0

3 years ago

Describe how to plot -3 3/4 on a number line?

rodikova [14]

-3 would be before the zero and the point would be on the 3.3 on the line

8 0

3 years ago

Read 2 more answers

Please help me with the following questions. Thanks in advance!!

Orlov [11]

Answer:

Step-by-step explanation:

Eight

590 = 1800 e^(-0.4t) Divide by 1800

0.32778 = e^(-0.4t) Put the value for e in the denominator.

0.32778 = 1 / e^(0.4t) Notice the sign's gone. Multiply both sides by e^(0.4t)

0.32778 *e^(0.4t) = 1 Divide by 0.32778

e^(0.4t) = 3.0508 Take the natural log of both sides.

0.4t = 1.11542 Divide both sides by 0.4

t = 2.78855

You should put this in the original equation to see if it checks. It does.

=============================

Nine

3^(3 - 3x) + 6 = 42 Subtract 6 from both sides

3^(3 - 3x) = 36 Take the log of both sides.

(3 - 3x) ln(3) = ln 36

(3 - 3x) *1.098612 = 3.58352 Divide by 1.098612

3 - 3x = 3.26186 Subtract 3 from both sides

- 3x = 0.26186 Divide by - 3

x = - 0.087287

4 0

3 years ago

Calculate the value of the sample variance. Round your answer to one decimal place. 9_5,9_5,2,9_5

Ugo [173]

Answer:

$s^2 = 0.01$

Step-by-step explanation:

Given

Values: 9/5, 9/5, 2, 9/5

Required

Calculate the sample variance

Sample variance is calculated using:

$s^2 = \frac{\sum (x_i - \overline x)^2}{n - 1}$

First, we calculate the mean

$\overline x = \frac{\sum x}{n}$

$\overline x = \frac{9/5 + 9/5 + 2 + 9/5}{4}$

$\overline x = \frac{7.4}{4}$

$\overline x = 1.85$

$s^2 = \frac{\sum (x_i - \overline x)^2}{n - 1}$ becomes

$s^2 = \frac{(9/5 - 1.85)^2+(9/5 - 1.85)^2+(2 - 1.85)^2+(9/5 - 1.85)^2}{4 - 1}$

$s^2 = \frac{(-0.05)^2+(-0.05)^2+(0.15)^2+(-0.05)^2}{4 - 1}$

$s^2 = \frac{0.0025+0.0025+0.0225+0.0025}{3}$

$s^2 = \frac{0.03}{3}$

$s^2 = 0.01$

<em>Hence, the variance is 0.01</em>

5 0

2 years ago