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elena-14-01-66 [18.8K]
3 years ago
7

This data set shows the weight, in pounds, of six family members.

Mathematics
1 answer:
Nookie1986 [14]3 years ago
6 0
Mean: 146.66666
Median: 152.5
Range: 116
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Solve this system of linear equations. Separate
AleksAgata [21]
  • 7x=-63-11y-(1)
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Adding both

  • 15x=30
  • x=2

Putting in second one

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  • 11y=16-93
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2 years ago
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While standing on top of a hill at a ski resort, Alexa Latour spots the ski lodge below. If the vertical height of the hill is 1
alexira [117]

Answer: The distance to the lodge is 1514 ft

Step-by-step explanation: Please refer to the diagram attached.

The point where Alexa is standing at the top of the hill is marked as point A. The vertical height of the hill is from point A to point B which has been given as 1209 ft. Also, when Alexa looks down, she does that at an angle of depression measuring 53 degrees. Therefore while looking at the lodge, she forms an angle between her line of sight and the height of the hill. That angle is calculated as 90 degrees minus 53 degrees and that equals 37 degrees (as shown in the diagram). Note that her line of sight is AC since the ski lodge is at point C. Therefore the distance she must ski in order to get to point C (which shall be represented by X) shall be calculated using trigonometric ratios.

Note that we have a reference angle which is 37. We also have an adjacent which is 1209 (the side that lies between the reference angle and the right angle). And then we want to calculate the hypotenuse, yet unknown, (which is the side facing right angle). Since we have an adjacent, a hypotenuse and the reference angle, X can be calculated as

Cos A = Adjacent/Hypotenuse

Cos A = AB/AC

Cos 37 = 1209/X

By cross multiplication we now have X = 1209/Cos 37

By using our calculator or checking the table of values, Cos 37 = 0.7986

X = 1209/0.7986

X = 1513.899

Approximated to the nearest feet,

X = 1514 ft

8 0
3 years ago
Write 4 different answers for <br><br> -1 less than or equal to r/3
STatiana [176]
-1<span> ≤  r/3                          
-1 </span><span> ≤ (r</span><span>÷3)
(r</span>÷3) <span>≥ -1
r/3 </span><span>≥ -1 </span>
3 0
3 years ago
What is the slope of the line passing (-3 ,4) and (2, -1)?
alexdok [17]

The slope is -1.

because the slope formula gives you (-1-4)/(2-(-3)) which is -5/5 which also is -1

5 0
3 years ago
You open a savings account with a beginning balance of $600. You plan on depositing $50 every month until you have enough money
telo118 [61]

Answer:

48 months

Step-by-step explanation:

first take how much you need and add how much you want to leave, so 2500+500=3000. Then delete 600 from 3000, which will give you $2400. divide $2400 by 50 which gives you 48. it will take 48 months to get enough money to purchase a car at $2500 and leave $500 in the account.

8 0
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