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dlinn [17]
1 year ago
5

Given: AB ≅ CD

Mathematics
1 answer:
xz_007 [3.2K]1 year ago
6 0

Answer:

cc

Step-by-step explanation:

cc

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Add the opposite number of 1 1/5 to the sum of the numbers (−8 3/4 ) and (−2 5/6 ).
svetoff [14.1K]
Start by finding the sum of (-8 3/4) and (-2 5/6).  Find the least common denominator (LCD).  12 is the first thing that both 4 and 6 will evenly divide into, so we convert both fractions to 12ths:

-8 3/4 = -8 9/12 (multiply 4 by 3 to get 12, so multiply the numerator, 3, by 3 as well)
-2 5/6 = -2 10/12 (multiply 6 by 2 to get 12, so multiply the numerator, 5, by 2 as well)
-8 9/12 + -2 10/12 = -10 19/12
We must convert the improper fraction.  12 goes into 19 1 time with 7 left over, so 19/12 = 1 7/12
This means that -10 19/12 = -11 7/12
The opposite of 1 1/5 is -1 1/5.  Add this to -11 7/12.  Again find the LCD; in this case it is 60.
-1 1/5 = -1 12/60
-11 7/12 = -11 35/60
Adding these two we get -12 47/60.
4 0
2 years ago
A 6 inch-tall plant grew 3/4 of an inch week and twice as much the following week. How tall is the plant now?
Alla [95]
8.25 inches once you multiply the 3/4 by 2 and add that and also add the 3/4 from the previous week you’ll get your answer
7 0
2 years ago
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A supervised learning model has been built to predict whether someone is infected with a new strain of a virus. The probability
larisa [96]

Answer:

A baseline score of 99% needs to be set.

Step-by-step explanation:

Since this is an example of a classification problem (the classes being whether somebody has been infected with a new virus or not), the ideal score to achieve in such a case is 100%. Hence, a baseline score of 99% should be set in order to get to 100% by outperforming it.

7 0
2 years ago
Dalia flies an ultralight plane with a tailwind to a nearby town in 1/3 of an hour. On the return trip, she travels the same dis
pashok25 [27]
Dalia had an average airspeed of ⇒ 42 miles per hour.
The average wind speed was  ⇒ 12 miles per hour.

8 0
2 years ago
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The function f(t) = 4t2 − 8t + 8 shows the height from the ground f(t), in meters, of a roller coaster car at different times t.
lidiya [134]

Answer:

f(t) = 4(t − 1)2 + 4; the minimum height of the roller coaster is 4 meters from the ground

Step-by-step explanation:

The function is a quadratic where t is time and f(t) is the height from the ground in meters. You can write the function f(t) = 4t2 − 8t + 8 in vertex form by completing the square. Complete the square by removing a GCF from 4t2 - 8t. Take the middle term and divide it in two. Add its square. Remember to subtract the square as well to maintain equality.

f(t) = 4t2 − 8t + 8

f(t) = 4(t2 - 2t) + 8                                  The middle term is -2t

f(t) = 4(t2 - 2t + 1) + 8 - 4                        -2t/2 = -1; -1^2 = 1

f(t) = 4(t-1)^2 + 4                                      Add 1 and subtract 4 since 4*1 = 4.

The vertex (1,4) means at a minimum the roller coaster is 4 meters from the ground.

  • f(t) = 4(t − 1)2 + 2; the minimum height of the roller coaster is 2 meters from the ground
  • f(t) = 4(t − 1)2 + 2; the minimum height of the roller coaster is 4 meters from the ground
  • f(t) = 4(t − 1)2 + 4; the minimum height of the roller coaster is 1 meter from the ground
  • f(t) = 4(t − 1)2 + 4; the minimum height of the roller coaster is 4 meters from the ground
8 0
2 years ago
Read 2 more answers
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