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1 year ago

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Find the location of X, the midpoint of WY

1 answer:

Anni [7]1 year ago

4 0

Answer:

X is the midpoint of the line wxy

You might be interested in

3x^2+2x+27 find g(p+4)

Alborosie

G(p+4)=3(p+4)^2+2(p+4)+27
=3p^2+24p+48+2p+8+27
=3p^2+26p+83

6 0

2 years ago

The daily average temperature in Santiago, Chile, varies over time in a periodic way that can be modeled approximately by a trig

natali 33 [55]

Answer:

a) the trigonometric function is;

$y = 7.5 sin ( \frac{2 \pi}{365}t + \frac{337 \pi}{730})+ 21.5$

b) $y = 28.36^0 \ C$ ( to two decimal places)

Step-by-step explanation:

This data can be represented by the sinusoidal function of the form :

$\mathbf{y = A sin (Bt -C)+D}$

where A = amplitude and which can be determined via the formula:

$A = \dfrac{largest \ temperature - lowest \ temperature}{2}$

$A = \dfrac{29-14}{2}$

$A = \dfrac{15}{2}$

A = 7.5° C

where B = the frequency;

Since the data covers a period of 3 days ; then $\dfrac{2 \pi}{B } =365$

$B = \dfrac{2 \pi}{365}$ ( where 365 is the time period )

The vertical shift is found by the equation D;

D = $\frac{largest \ temperature + lowest \ temperature}{2}$

D = $\frac{29+14}{2}$

D = 21.5

Replacing the values of A ; B and D into the above sinusoidal function; we have :

$y = 7.5 sin (\frac{2 \pi}{365}t -C) + 21.5$

From the question; when it is 7th of the year ( i.e January 7);

t = 7 and the temperature (y) = 29° C

replacing that too into the above equation; we have:

$29= 7.5 sin (\frac{2 \pi}{365}*7 -C) + 21.5$

$29= 7.5 sin (\frac{14 \pi}{365} -C) + 21.5$

$\frac{29-21.5}{7.5}= sin (\frac{14 \pi}{365} -C)$

$1= sin (\frac{14 \pi}{365} -C)$

$sin^{-1}(1)= (\frac{14 \pi}{365} -C)$

$\frac{\pi}{2}= (\frac{14 \pi}{365} -C)$

$C= (\frac{14 \pi}{365} -\frac{\pi}{2})$

$C= (\frac{28 \pi- 365 \pi}{730} )$

$C= \frac{-337 \pi}{730}$

Thus; the trigonometric function is;

$y = 7.5 sin ( \frac{2 \pi}{365}t + \frac{337 \pi}{730})+ 21.5$

Similarly; to determine the temperature o Jan 31; i.e when t= 31 ; we have :

$y = 7.5 sin ( \frac{2 \pi}{365}*31+ \frac{337 \pi}{730})+ 21.5$

$y = 7.5 sin ( \frac{62 \pi}{365}+ \frac{337 \pi}{730})+ 21.5$

$y = 7.5 sin ( \frac{124 \pi+ 337 \pi }{730})+ 21.5$

$y = 7.5 sin ( \frac{461 \pi }{730})+ 21.5$

$y = 7.5 *( 0.915)+ 21.5$

$y = 6.8689+ 21.5$

$y = 28.36^0 \ C$ ( to two decimal places)

7 0

2 years ago

Read 2 more answers

mr. and Mrs . Coronado took a bus to belmopan . they left at 7:15 a.m. and arrived at 8:00 a.m . How long was the trip show ur w

m_a_m_a [10]

Answer:

The trip was 45 minutes

Step-by-step explanation:

you take 60 minutes which is an hour and subtract 15 to get 45 minutes

6 0

3 years ago

Exponential 2^2/2^-3

kenny6666 [7]

Answer: 32

Step-by-step explanation:

2^2 is 4

2^-3 = 1/8

and 4/1/8 is 32

3 0

3 years ago

Patrick buys 12 bunches of bananas for $9 how much will he pay for8 bunches

kykrilka [37]

Divide.

9 / 12 = $0.75 per bunch of bananas's

Multiply.

8 * 0.75 = $6 for 8 bunches.

Hope This Helped! Good Luck!

6 0

3 years ago