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2 years ago

Does anybody know the correct answer to this?

Mathematics

1 answer:

olganol [36]2 years ago

4 0

Answer:

sin(X) = 4/5
cos(X) = 3/5
tan(X) = 4/3

Step-by-step explanation:

The mnemonic SOH CAH TOA is intended to help you remember the relations between sides and trig functions in a right triangle.

Sin(X) = Opposite/Hypotenuse = 24/30 = 4/5

Cos(X) = Adjacent/Hypotenuse = 18/30 = 3/5

Tan(X) = Opposite/Adjacent = 24/18 = 4/3

_____

You may be expected to leave the trig ratios in the original unreduced form.

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Can you answer the attached question which includes the options to answer?

Gekata [30.6K]

2 and 4 are both correct statements.

4 0

3 years ago

Solve:<br><br> a.x3+x2-8x - 12x+2<br> b. x3-4x2-3x + 18x-3<br> c. x2 + 4x + 4<br> d. x2 - 6x + 9

NeTakaya

<h2>Steps:</h2>

So firstly, this function is asking us to divide f(x) by g(x) so let's set that up as such:

$(\frac{f}{g})(x)=\frac{x^2-x-6}{1}\div \frac{x-3}{x+2}$

Next, remember that <u>dividing by a number is the same as multiplying by its reciprocal.</u> To find the reciprocal of a number, flip the numerator and denominator around. With this info, flip the second fraction to it's reciprocal and change the sign to multiplication:

$(\frac{f}{g})(x)=\frac{x^2-x-6}{1}\times \frac{x+2}{x-3}$

Next, we are going to factor x² - x - 6. Firstly, what two terms have a product of -6x² and a sum of -x? That would be -3x and 2x. Replace -x with 2x - 3x:

$(\frac{f}{g})(x)=\frac{x^2+2x-3x-6}{1}\times \frac{x+2}{x-3}$

Next, factor x² + 2x and -3x - 6 separately. Make sure that they have the same quantity on the inside of the parentheses:

$(\frac{f}{g})(x)=\frac{x(x+2)-3(x+2)}{1}\times \frac{x+2}{x-3}$

Now you can rewrite it as:

$(\frac{f}{g})(x)=\frac{(x-3)(x+2)}{1}\times \frac{x+2}{x-3}$

Next, multiply:

$(\frac{f}{g})(x)=\frac{(x-3)(x+2)^2}{x-3}$

Next, divide:

$(\frac{f}{g})(x)=(x+2)^2$

And lastly, simplify:

A good tip: $(x+y)^2=x^2+2xy+y^2$

$(\frac{f}{g})(x)=x^2+4x+4$

<h2>Answer:</h2>

<u>The correct option is C. x² + 4x + 4.</u>

7 0

3 years ago

Wayne bought blueberries. He uses 3/8 of the blueberries to make blueberry bread, 1/6 of the blueberries to make pancakes, and 5

yKpoI14uk [10]

Answer:

Wayne bought 72 blueberries.

Step-by-step explanation:

To combine the fractions, convert all of the fractions to a denominator of 24.

3/8 * 3/3 = 9/24

1/6 * 4/4 = 4/24

5/12 * 2/2 = 10/24

Now add together the fractions

9/24 + 4/24 + 10/24 = 23/24

He used 23/24 of his blueberries, or 69 of them.

To find the total amount of blueberries, divide 69 by 23, then multiply that number b 24.

69 / 23 = 3

3 * 24 = 72

Wayne bought 72 blueberries.

6 0

3 years ago

Read 2 more answers

Write this ratio as a fraction in the simplest form 3 feet to 63 inches

Lana71 [14]

Answer: The answer is 1/21

Step-by-step explanation:

7 0

3 years ago

X/2 = 4/16<br><br> solve for x<br><br>Also: if possible/ any please show work!

lana66690 [7]

<span>X/2 = 4/16

This is where you would use cross-multiplication.
Multiply the x with 16 and the 2 with 4.

16x = 8

Now divide everything by 16.
x = 0.5</span>

6 0

3 years ago