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3 years ago

What is the Inter quartile Range 5, 36, 15, 31

Mathematics

1 answer:

Greeley [361]3 years ago

3 0

Answer:

The interquartile range would be 23.5.

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Solve using law of sines or law of cosines!

malfutka [58]

Answer:

Part 5) The length of the ski lift is $1.15\ miles$

Part 6) The height of the tree is 18.12 m

Step-by-step explanation:

Part 5)

Let

A -----> Beginning of the ski lift

B -----> Top of the mountain

C -----> Base of mountain

we have

$b=0.75\ miles$

$A=20\°$

$C=180\°-50\°=130\°$ ----> by supplementary angles

Find the measure of angle B

Remember that the sum of the interior angles must be equal to 180 degrees

$B=180\°-A-C$

substitute

$B=180\°-20\°-130\°=30\°$

Applying the law of sines

$\frac{b}{sin(B)}=\frac{c}{sin(C)}$

substitute

$\frac{0.75}{sin(30\°)}=\frac{c}{sin(130\°)}$

$c=\frac{0.75}{sin(30\°)}(sin(130\°))$

$c=1.15\ miles$

Par 6)

see the attached figure with letters to better understand the problem

Applying the law of sines in the right triangle BDC

In the right triangle BDC 20 degrees is the complement of 70 degrees

$\frac{BC}{sin(70\°)}=\frac{x}{sin(20\°)}$

$BC=(sin(70\°))\frac{x}{sin(20\°)}$ -----> equation A

Applying the law of sines in the right triangle ABC

In the right triangle ABC 50 degrees is the complement of 40 degrees

$\frac{BC}{sin(40\°)}=\frac{x+15}{sin(50\°)}$

$BC=(sin(40\°))\frac{x+15}{sin(50\°)}$ -----> equation B

Equate equation A and equation B and solve for x

$(sin(70\°))\frac{x}{sin(20\°)}=(sin(40\°))\frac{x+15}{sin(50\°)}\\\\2.7475x=0.8391(x+15)\\\\2.7475x=0.8391x+12.5865\\\\2.7475x-0.8391x=12.5865\\\\x=6.60\ m$

Find the value of BC

$BC=(sin(70\°))\frac{6.6}{sin(20\°)}$

$BC=18.12\ m$

therefore

The height of the tree is 18.12 m

5 0

4 years ago

10 POINTS so easy if you are ish smart WILL MRAK BRAINLEST SUPER EASY ISH NOT FOR ME THOUGH

IrinaK [193]

Answer:

Step-by-step explanation:

Both have the same surface area. The numbers are just rearranged.

Is the correct answer.

The surface area of the first one is 2*8*5 + 2*8*6 + 2*5*6 = 236

The surface area of the second is 2*10*8 + 2*10*3 + 2*8*3 = 244

Another rearrangement. Not the answer.

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3 years ago

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A goat is tethered (tied up) to a stake in the ground with a 5 m rope. The goat can graze to the full length of the rope a full

katen-ka-za [31]

The answer to your question is

78.5 m^2

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4 years ago

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Please do 81 cookies and distributed 44

AveGali [126]

I’m not quite sure what the question is, but 81 cookies distributed among 44 people would mean that each person gets 0.02 cookies each.

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3 years ago

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Write the equation of the line passing through the point (2,-1) with a slope of -3

Alexxandr [17]

Y= 2x-3 i think, but i may be wrong

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3 years ago

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