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taurus [48]
3 years ago
6

Two sides of a triangle measure 14 inches and 8 inches. which cannot be the length of the remaining side?

Mathematics
1 answer:
horrorfan [7]3 years ago
3 0
1. The "triangle inequality" states that any of the sides of the triangle, is larger than the difference of the other 2 sides (the larger minus the smaller), and it is smaller than the sum of them.

2. So the third side of this triangle must be larger than 14-8=6 (in) and smaller than 14+8=22 (in)

3. So let a denote the remaining side, then   6 < a < 22, which means a can be any number in between 6 and 22 inches.
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What is the total cost of a sweatshirt if the regular price is $42 and the sales tax is 5 1/2
leonid [27]

Answer:

$44.31

Step-by-step explanation:

Regular Price = $42

Sales Tax Rate = 5  1/2% or 5.5%

The total cost would be the regular price PLUS the sales tax. We find the sales tax by finding 42's 5.5%.

First, converting percentage to decimal (dividing by 100):

5.5% = 5.5/100 = 0.055

Now finding 5.5% of $42:

42 * 0.055 = $2.31

Now, the total price is the SUM of regular and this sales tax:

Total Price = 42 + 2.31 = $44.31

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3 years ago
A computer that costs x dollars wholesale is marked up 20% at a store.
GuDViN [60]
C. (1+0.20) x because you have to pay the whole price originally plus the 20 percent
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3 years ago
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Carla had $100 in her account in May. How much money does she have in her account in August?
Alexeev081 [22]
There is not enough information to answer the question.
5 0
3 years ago
Gustavo and Aiden are walking due west through the forest when they happen upon an angry grizzly bear. Gustavo runs away 23^\cir
Harlamova29_29 [7]

Answer:

They are 261.96 meters apart.

Step-by-step explanation:

From the question, considering a North, East, South and west pole, Gustavo ran 23° above the east horizontal, while Aiden ran 33° below the east horizontal.

Thus, the total angle between them is 23 + 33 = 56°.

Therefore, let the distance between them be c and we can calculate that using the cosine law. Thus,

c² = a² + b² – 2ab cos θ

Where a and b are distances travelled respectively by Gustavo and Aiden. While θ is the angle between them.

Thus,

c² = 300² + 250²– 2(300) (250)cos 56

c² = 90000 + 62500 - 83878.9355

c² = 68621.0645

c = √68621.0645

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4 years ago
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Ivanshal [37]
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