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iren [92.7K]
3 years ago
7

Equivalent fractions are always larger than orginal fraction true or false?

Mathematics
1 answer:
ioda3 years ago
8 0
The answer is false. They are the same
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What is the volume of the rectangular prism?
11Alexandr11 [23.1K]
The volume is 288

because V = w h l = 6•4•12 = 288
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Find the distance between the points:
lesantik [10]
To calculate distance between two points we use the distance formula sqrt((x2−x1)^2+(y2−y1)^2).  

To start, we find the square of the distance between x1 and x2 and y1 and y2.  The distance between x1 and x2, or 1 and 3, is 2. The distance between y1 and y2, or 3 and -4, is 7.

Now we square 2 and 7 and add them together to get 4 + 49 = 53.

The last thing we do to find the distance is take the square root of 53. 53 is not a perfect square and is also a prime number so our answer in simplest form is still sqrt53.<span />
6 0
3 years ago
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
Q=90 P=28 OP=92 feet
kherson [118]

Answer:

81.2 feet (nearest tenth)

Step-by-step explanation:

7 0
3 years ago
A train travels 70 kilometers in 4 hours, and then 55 kilometers in 3 hours. What is its average speed?
Naya [18.7K]

Answer:

Distance = 70 + 55 = 125 kilometers

Time = 4 + 3 = 7 hours

Rate = Distance / Time

Rate = 125 / 7 = 17.8571428571 kilometers per hour

Step-by-step explanation:


6 0
3 years ago
Read 2 more answers
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