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MAVERICK [17]
3 years ago
5

Help this is trigonometry I think 35 points!!

Mathematics
1 answer:
kolezko [41]3 years ago
4 0

Answer:

y = 16.3

Step-by-step explanation:

We would apply the formula for altitude of a right triangle which is given as:

h = √(xy)

Where,

h = 14

x = 12

y = y = ?

Plug in the values

14 = √(12*y)

14² = (√(12*y) (squaring both sides)

196 = 12*y

196/12 = 12y/12 (division property of equality)

16.3 = y (nearest tenth)

y = 16.3

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Find the missing x value for for question 14
zloy xaker [14]

Answer:

x=12 but who knows maybe

Step-by-step explanation:

if we are trying to say those lines are equal length than surely the equations must be equal value otherwise they aren't equal so we can probably set them equal to each other and solve for x right? 2x+6=3x-6 subtract 6. 2x=3x-12. subtract 3x. -1x=-12. divide by -1 so x=12.

4 0
3 years ago
What is the slope of a line that is perpendicular to the line whose equation is 2y = 3x - 1?
alexandr1967 [171]

Answer:

The slope of the line is -\frac{2}{3}

Step-by-step explanation:

For any line y=mx+b, a line that is perpendicular to it is y_\perp =-\frac{1}{m} x+b.

Therefore the slope of the perpendicular line is -\frac{1}{m}.

For our case y=\frac{3}{2}x-\frac{1}{2} therefore the slope of the prependicular is the reciprocal of \frac{3}{2} multiplied by -1.

\therefore\:slope=-\frac{2}{3}.

4 0
3 years ago
Which number is the smallest 2, -2, -4 or -5<br> PLEASE HELPPP
sergeinik [125]

Answer:

-5

Step-by-step explanation:

think of it on a number line the number furthest to the left is always the smallest and the numbers to the right are bigger

8 0
3 years ago
Read 2 more answers
A high school athletic department bought 40 soccer uniforms at a cost of $3,000. After soccer season they returned some uniforms
quester [9]

Interesting problem.

First - let's figure cost of each uniform at purchase.

3,000/40 = $75 each

When some uniforms were returned at $40 - there was a difference of $35 in what they paid and what they rec'd in return. ($75 - 35 = $40)

8 0
3 years ago
The estimated daily living costs for an executive traveling to various major cities follow. The estimates include a single room
Alexandra [31]

Answer:

\bar x = 260.1615

\sigma = 70.69

The confidence interval of standard deviation is: 53.76 to 103.25

Step-by-step explanation:

Given

n =20

See attachment for the formatted data

Solving (a): The mean

This is calculated as:

\bar x = \frac{\sum x}{n}

So, we have:

\bar x = \frac{242.87 +212.00 +260.93 +284.08 +194.19 +139.16 +260.76 +436.72 +355.36 +.....+250.61}{20}

\bar x = \frac{5203.23}{20}

\bar x = 260.1615

\bar x = 260.16

Solving (b): The standard deviation

This is calculated as:

\sigma = \sqrt{\frac{\sum(x - \bar x)^2}{n-1}}

\sigma = \sqrt{\frac{(242.87 - 260.1615)^2 +(212.00- 260.1615)^2+(260.93- 260.1615)^2+(284.08- 260.1615)^2+.....+(250.61- 260.1615)^2}{20 - 1}}\sigma = \sqrt{\frac{94938.80}{19}}

\sigma = \sqrt{4996.78}

\sigma = 70.69 --- approximated

Solving (c): 95% confidence interval of standard deviation

We have:

c =0.95

So:

\alpha = 1 -c

\alpha = 1 -0.95

\alpha = 0.05

Calculate the degree of freedom (df)

df = n -1

df = 20 -1

df = 19

Determine the critical value at row df = 19 and columns \frac{\alpha}{2} and 1 -\frac{\alpha}{2}

So, we have:

X^2_{0.025} = 32.852 ---- at \frac{\alpha}{2}

X^2_{0.975} = 8.907 --- at 1 -\frac{\alpha}{2}

So, the confidence interval of the standard deviation is:

\sigma * \sqrt{\frac{n - 1}{X^2_{\alpha/2} } to \sigma * \sqrt{\frac{n - 1}{X^2_{1 -\alpha/2} }

70.69 * \sqrt{\frac{20 - 1}{32.852} to 70.69 * \sqrt{\frac{20 - 1}{8.907}

70.69 * \sqrt{\frac{19}{32.852} to 70.69 * \sqrt{\frac{19}{8.907}

53.76 to 103.25

8 0
2 years ago
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