1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Inessa [10]
3 years ago
10

Find the missing value and round to the nearest hundredth.

Mathematics
1 answer:
yarga [219]3 years ago
8 0
You have to use Trigonometric ratios here. I'll help you with a question, and you try to do the other two.

a. You are given the hypotenuse, and told to figure out the opposite. The trigonometric function that deals with that is sin(x), which is opposite over hypotenuse. So:
sin(51)= \frac{y}{12}

Solve for y:
y = 12sin(51)

Simplify:
y = 8.043

For these problems, you have to remember the ratios Sine, Cosine, and Tangent. An easy way is to make a mnemonic device. A good one that a lot of people use is SohCahToa. Which is Sine (Opposite, Hypotenuse), Cosine (Adjacent, Hypotenuse) and Tangent (Opposite, Adjacent). Remember trigonometry is just a glorified field of ratios of sides to angles. There are many more trigonometric ratios including inverse trigonometric ratios, reciprocal trigonometric ratios, and hyperbolic trigonometric ratios (which show up during differential calculus). But for now, focus on this. Haha.


You might be interested in
Name the Property Shown: 16=16 Question 1 options: Symmetric Property Transitive Property Reflexive Property Distributive Proper
Lemur [1.5K]

Answer:

reflexive property

Step-by-step explanation:

reflexive property states that a number equals itself, a = a, so since 16 = 16, or 16 equals itself, it's reflexive.

3 0
3 years ago
MATH HELP!!! 100PTS!!!
Lostsunrise [7]

Answer:

x =\dfrac{20 +\sqrt{454}}{18}, \quad \dfrac{20 -\sqrt{454}}{18}

Step-by-step explanation:

<u>Given functions</u>:

  p(x)=2x-4

  r(x)=\dfrac{6x-1}{9x+1}

Solve for p(x) = r(x):

\begin{aligned}p(x) & = r(x)\\\implies 2x-4 & = \dfrac{6x-1}{9x+1}\\(2x-4)(9x+1)&=6x-1\\18x^2+2x-36x-4&=6x-1\\18x^2-40x-3&=0\end{aligned}

As the found quadratic equation cannot be factored, use the Quadratic Formula to solve for x:

<u>Quadratic Formula</u>

x=\dfrac{-b \pm \sqrt{b^2-4ac} }{2a}\quad\textsf{when }\:ax^2+bx+c=0

Therefore:

a=18, \quad b=-40, \quad c=-3

Substitute the values of a, b and c into the <u>quadratic formula</u> and solve for x:

\begin{aligned}\implies x & =\dfrac{-(-40) \pm \sqrt{(-40)^2-4(18)(-3)} }{2(18)}\\\\& =\dfrac{40 \pm \sqrt{1816}}{36}\\\\& =\dfrac{40 \pm \sqrt{4 \cdot 454}}{36}\\\\& =\dfrac{40 \pm \sqrt{4}\sqrt{454}}{36}\\\\& =\dfrac{40 \pm2\sqrt{454}}{36}\\\\& =\dfrac{20 \pm\sqrt{454}}{18}\end{aligned}

Therefore, the solutions are:

x =\dfrac{20 +\sqrt{454}}{18}, \quad \dfrac{20 -\sqrt{454}}{18}

Learn more about quadratic equations here:

brainly.com/question/27750885

brainly.com/question/27739892

6 0
2 years ago
How to do the monomials
Cerrena [4.2K]

<u>Given</u>:

The given monomial expression is \frac{16 y^{8}}{4 y^{2}}

We need to simplify the given monomial expression.

<u>Simplification:</u>

Let us simplify the given expression.

Dividing the numbers 16 and 4, we get;

\frac{4 y^{8}}{y^{2}}

Let us apply the exponent rule  \frac{x^{a}}{x^{b}}=x^{a-b} in the above expression.

Thus, we get;

4 y^{8-2}

Subtracting the numbers in the numerator of the above expression, we get;

4 y^{6}

Thus, the simplified expression is 4 y^{6}

8 0
3 years ago
Use the definition of a derivative to find f’(x).
tatyana61 [14]

Answer:

f'(x) = -\frac{9}{x^2}

Step-by-step explanation:

i) f(x) = 9 / x

ii) f'(x)  = $\lim_{h\to 0} \frac{f(x+h) - f(x)}{h} $  \hspace{0.2cm}

        = $\lim_{h\to 0} \frac{\frac{9}{x+h}  - \frac{9}{x} }{h}  =  \hspace{0.1cm} $\lim_{h\to 0} \frac{9x - 9(x+h)}{hx(x+h)} $ \hspace{0.1cm} =  \hspace{0.1cm}$\lim_{h\to 0} \frac{-9h}{hx(x+h)}  =  $\lim_{h\to 0} \frac{-h}{x(x+h)} = \frac{-9}{x^2}$

7 0
3 years ago
4x-12y=-8 what is the answer
umka21 [38]

Answer:

You aren't asked which variable to solve for.

If we're solving for x then

4x = 12y -8

x = 3y - (8/4)

If we're solving for y

-12y = -4x -6

12y = 4x +6

y = (x/3) + (1/2)

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Other questions:
  • What is the value of x in the equation ln (x + 6) – ln (2x – 1) = 1?
    10·1 answer
  • Identify the vertical shift, maximum and minimum values of each function
    6·1 answer
  • Please help me !!!!!
    15·2 answers
  • 99 POINTS! NEED HELP ASAP! WILL GIVE BRAINLIEST ANSWER!
    5·2 answers
  • Is this relationship linear, exponential, or neither?
    13·1 answer
  • HELP Luna observed that in the last 12 issues of Rise Over Run Weekly, 384 of the 960 pages contained an advertisement.
    7·2 answers
  • Can anyone help me with this question??
    7·1 answer
  • PLEASE HELP <br><br> I am confused on these equations
    12·1 answer
  • What is this plz help
    8·2 answers
  • Korie randomly selects a number from the numbers shown below. 54, 60, 11, 0, 5, 7, 20 What is the probability that the number sh
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!