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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.


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What is the approximate value of b, rounded to the nearest tenth?
ozzi

we know that

m∠ZWY=m∠WXY --------> given problem

so

In the right triangle ZWY

tan\ ZWY=\frac{ZY}{YW}=\frac{5}{6}

In the right triangle XWY

tan\ WXY=\frac{WY}{XY}=\frac{6}{a}

\frac{6}{a} =\frac{5}{6} \\ \\5*a=6*6 \\ \\a=\frac{36}{5}=7.2\ units

<u>Find the value of b</u>

<u>Applying the Pythagorean Theorem</u>

In the right triangle XWY

b^{2}=6^{2}+a^{2} \\b^{2}=6^{2}+7.2^{2}\\b^{2}=87.84\\ b= 9.4\ units

therefore

<u>the answer is the option</u>

D) 9.4 units

4 0
3 years ago
Read 2 more answers
What is an equation in point slope form for the line that passes through the points (-1, 4) and (3, -4)
Nezavi [6.7K]
So the point-slope form looks like (y-y1) = m(x-x1)
So the first thing we should do is solve for m. We can do this using the slope formula (y1-y2)/(x1 - x2)

(-4 - 4)/(3 - -1) = -2

So our slope is -2. Then plug in any order pair for y1 and x2

So a possible solution is y - 4 = -2(x + 1)
Hopes this helps!

4 0
3 years ago
The theater director recorded the number of seats occupied at past performances and the total revenue per
Norma-Jean [14]

Answer:

  • <u>$45</u> (with the assumption made below)

Step-by-step explanation:

The equation is garbled; thus, to explain you I will assume the equation is

  • R(s) = -325 + 14s

Where:

  • R(s) is the revenue in dollars, as a function of the number of seats occupied.
  • s is the variable that represents the number of seast occupied
  • 14 is the rate of change of the revenue per seat occupied (the price of a ticket).
  • -325 is the fixed cost of the theater for a performance (the amount of money the theater will lose if none seat is occupied).

Thus, you can predict the revenue when 70 seats are occupied by substituting s with 70.

  • R(70) = -325 + 14(70)

  • R(70) = -325 + 980 = $655

The <em>residual value</em> from a prediction is equal to the real value (observed value) less the preducted value:

  • Residual = real revenue - predicted revenue
  • Residual = $700 - $655 = $45
4 0
4 years ago
Please Graph 4x + 6y = 12 step by step
aniked [119]
4x+6y=12\\6y=-4x+12\\\\y=-\frac{4}{6}x+2\\\\y=-\frac{2}{3}x+2\\\\x-intercept\ (y=0):\\-\frac{2}{3}x+2=0\\-\frac{2}{3}x=-2\\x=(-2)\times(-\frac{3}{2})\\x=3\to(3;\ 0)\\\\y-intrcept\ (x=0)\\y=-\frac{2}{3}\times0+2=2\to(0;\ 2)\\\\look\ at\ the\ pictureAnswer here

8 0
3 years ago
A company sell men basketball with a circumference of 29.5 in they also sell youth basketball with a circumference 27.75 in the
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Answer:

9 INCHES

Step-by-step explanation:


8 0
4 years ago
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