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lara [203]
2 years ago
11

How can the area of this triangle be determined by forming a rectangle?

Mathematics
2 answers:
m_a_m_a [10]2 years ago
8 0

Step-by-step explanation:

Copy and rotate the triangle and place it next to the existing triangle to form a rectangle.

Lera25 [3.4K]2 years ago
3 0

Answer:

Please tell me the number for the choose and I can help you.

Step-by-step explanation:

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A torist walks 10.5 inches in 3 seconds. how far does it walk per second​
choli [55]

Divide distance by time:

10.5 inches / 3 seconds = 3.5 inches per second

Answer: 3.5 inches per second

3 0
2 years ago
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¾×⅙ I just bent gets it or how to model it
Aleks [24]

Answer:

3/24 or .125%

Step-by-step explanation:

3 0
2 years ago
Calculus piecewise function. ​
Kipish [7]

Part A

The notation \lim_{x \to 2^{+}}f(x) means that we're approaching x = 2 from the right hand side (aka positive side). This is known as a right hand limit.

So we could start at say x = 2.5 and get closer to 2 by getting to x = 2.4 then to x = 2.3 then 2.2, 2.1, 2.01, 2.001, etc

We don't actually arrive at x = 2 itself. We simply move closer and closer.

Since we're on the positive or right hand side of 2, this means we go with the rule involving x > 2

Therefore f(x) = (x/2) + 1

Plug in x = 2 to find that...

f(x) = (x/2) + 1

f(2) = (2/2) + 1

f(2) = 2

This shows \lim_{x \to 2^{+}}f(x) = 2

Then for the left hand limit \lim_{x \to 2^{-}}f(x), we'll involve x < 2 and we go for the first piece. So,

f(x) = 3-x

f(2) = 3-2

f(2) = 1

Therefore, \lim_{x \to 2^{-}}f(x) = 1

===============================================================

Part B

Because \lim_{x \to 2^{+}}f(x) \ne \lim_{x \to 2^{-}}f(x) this means that the limit \lim_{x \to 2}f(x) does not exist.

If you are a visual learner, check out the graph below of the piecewise function. Notice the gap or disconnect at x = 2. This can be thought of as two roads that are disconnected. There's no way for a car to go from one road to the other. Because of this disconnect, the limit doesn't exist at x = 2.

===============================================================

Part C

You'll follow the same type of steps shown in part A.

However, keep in mind that x = 4 is above x = 2, so we'll deal with x > 2 only.

So you'd only involve the second piece f(x) = (x/2) + 1

You should find that f(4) = 3, and that both left and right hand limits equal this value. The left and right hand limits approach the same y value. The limit does exist here. There are no gaps to worry about when x = 4.

===============================================================

Part D

As mentioned earlier, since \lim_{x \to 4^{+}}f(x) = \lim_{x \to 4^{-}}f(x) = 3, this means the limit \lim_{x \to 4}f(x) does exist and it's equal to 3.

As x gets closer and closer to 4, the y values are approaching 3. This applies to both directions.

4 0
1 year ago
PLEASE HELP MEEEEE!!!!
defon

Answer:

5

Step-by-step explanation:

The leading coefficient is the coefficient with a variable with the greatest exponent.The exponent is the number you would say "the power to". What I mean is let's say you have this number: 3^{2} . The exponent would be 2 in this equation because it's saying what power 3 is too. Therefore, 5 is the leading coefficient.

8 0
3 years ago
Arthur has a balance of $2330 on his credit card, which he plans to pay off by
dybincka [34]

Answer:

C. $80

Step-by-step explanation:

A. $70

B. $65

C. $80

D. $75

When he pays $70 monthly

Number of months = $2330 / $70

= 33.3 months

When he pays $65 monthly

Number of months = $2330 / $65

= 35.9 months

When he pays $80 monthly

Number of months = $2330 / $80

= 29.1 months

When he pays $75 monthly

Number of months = $2330 / $75

= 31.1 months

The monthly amounts that will allow Arthur to pay off his balance the fastest is $80 per month

6 0
2 years ago
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