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3 years ago

Using the technique in the model above, find the missing sides in this 30°-60°-90° right triangle.

Mathematics

2 answers:

valina [46]3 years ago

8 0

Answer:

2 times square root of 3

nydimaria [60]3 years ago

4 0

For this case what you should do is use the following trigonometric relationship:
tan (x) = C.O / C.A
Where
x: angle
C.O: opposite leg
C.A: adjoining catheto
Substituting the values we have:
tan (60) = long / short
tan (60) = long / 2
long = 2 * tan (60)
long = 3.46
Answer:
long = 3.46

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Can you please help me?!

iren2701 [21]

Answer:

43.5 miles per hour

Step-by-step explanation:

Divide 174 miles by 4 hours. Hope this helped :)

7 0

3 years ago

Find the slope of the line that passes through the pair of points

love history [14]

Answer:

$\frac{5,805}{2812}$

Step-by-step explanation:

To find the slope from two points you can use the following formula:

$m = \frac{y -y_{1} }{x -x_{1} }$

Now substitute the two sets of points $(\frac{7}{20}, \frac{5}{19} ) and (\frac{5}{9}, \frac{11}{16})$

Substitute the values like this:

$y = \frac{5}{19}, y_{1} = \frac{11}{16}, x = \frac{7}{20}$ and $x_{1} =\frac{5}{9}$

Now you will need to simplify the following expression:

$m = \frac{\frac{5}{19} -\frac{11}{16} }{\frac{7}{20}-\frac{5}{9} }$

Make sure that denominators are the same before substracting:

$m = \frac{\frac{-129}{304} }{\frac{-37}{180} }$

when you divide with a fractional number you only need to flip the second fraction over (find its reciprocal). Then just multiply:

$m = (\frac{-129}{304} })({\frac{-180}{37} } ) = \frac{5805}{2812}$

5 0

3 years ago

Management at a seaside resort is publishing a brochure and wants to include a statement about the proportion of clear days duri

Ymorist [56]

Answer: B. 264

Step-by-step explanation:

Formula to calculate the sample size 'n' , if the prior estimate of the population proportion (p) is available:

$n= p(1-p)(\dfrac{z}{E})^2$

, where z = Critical z-value corresponds to the given confidence interval

E= margin of error

Let p be the population proportion of clear days.

As per given , we have

Prior sample size : n= 150

Number of clear days in that sample = 117

Prior estimate of the population proportion of clear days = $p=\dfrac{117}{150}$

E= 0.05

The critical z-value corresponding to 95% confidence interval = z*= 1.95 (By z-table)

Then, the required sample size will be :

$n= \dfrac{117}{150}(1-\dfrac{117}{150})(\dfrac{1.96}{0.05})^2$

Simplify ,

$n= (0.1716)(39.2)^2$

$n= 263.687424\approx264$

Hence, the sample size necessary to construct this interval =264

Thus the correct option is B. 264

7 0

3 years ago

Look at the sequence in the table.

malfutka [58]

Answer:

Step-by-step explanation:

The consecutive values of $a_{n}$ have a common difference d, that is

d = 8 - 3 = 13 - 8 = 18 - 13 = 23 - 18 = 5

This indicates that the sequence is arithmetic.

The recursive formula allows the next term in the sequence to be found from the previous term by adding 5, thus

$a_{n}$ = $a_{n-1}$ + 5 → A

7 0

3 years ago

the RATIO of floor seats to balcony seats in a theaters is 20:1. does this theater have more floor seats or more balcony seats?

GalinKa [24]

Yes, this theater has more floor seats than balcony seats simply because of the ratio. Your answer is actually in the question. For example, if you have 100 floor seats, then according to the ratio you should only have 5 balcony seats. So yes, there are more floor seats than balcony seats.

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3 years ago