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Mazyrski [523]
3 years ago
9

The area of a rectangular classroom is given by the trinomial 10x^2 + 3x - 4 What are the possible dimensions of the classroom?

Use Factoring.
Mathematics
1 answer:
juin [17]3 years ago
7 0
Answer: The expression factors to (2x - 1)(5x + 4)

In a rectangle the area is L x W. So if we know the area is 10x^2 + 3x - 4, then all we have to do is factor it to find possible values for the L and W.

If you factor the expression by grouping, you will get (2x - 1) and (5x + 4).

Your questions asks for possible dimensions, you could give the two expressions as dimensions.

If you wanted to select a value for x, you could plug it in and get values that could be dimensions.

For example if you let x = 10, you would have a rectangle that has a width of 19 and a length of 54.
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Dave and Busters charges 2.50 per game in the arcade plus a one-time entrance fee of $10.
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Answer:

C) y = 2.50x + 10

Step-by-step explanation:

Equation C is saying:

total cost = 2.50(number of games) + $10 entery fee

Hope this helps :)

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3 years ago
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A number k is greater than 3. Which of thefollowing is true about k over 3 ?​
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Well, there is nothing following, but if there is anything about K equal to or greater 4, or K being>2 than thats it.

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3 years ago
Duffy completed a 50-meter dash in 36 seconds. That was 90 percent of the time it took Paul to complete it. What was Paul's time
Law Incorporation [45]

Answer: C

Step-by-step explanation: Cross multiply.

36/90 = x/100

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3 years ago
How to put one hundred forty one million six hundred twenty thousand in standard form
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Answer:

140,620,000

Step-by-step explanation:

There are two types of standard form. The one above (given to you) is the normal standard form. However, there is another one. This one would look like:

140,620,000 = 1.4062 x 10^8

Remember that in this standard form, you must move the decimal to just after the first place value, and the amount of moves you made for the decimal is the amount in the power over 10.

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II. The following figure shows an infinite zigzag path with each zag
nataly862011 [7]

The length of the infinite zigzag path is 1

<h3>How to determine the length</h3>

Note that the infinite zigzag path is embedded in an isosceles triangle

Using angle π/4, we have that

Tan π/4 = opposite/ adjacent

tan \frac{3. 412}{4}  = \frac{x}{1}

tan 0. 7855 = x

x = 0. 014

To find the longer part 'y',  use the Pythagorean theorem

y^{2} = (0.014)^2 + (1)^2

y^2 = 1.879 * 10^-4 + 1
y^2 = 1. 00

y = \sqrt{1. 000}

y = 1. 000

The length of the infinite zigzag path is the same as the length of the longer part of the triangle which equals 1.

Thus, the length of the infinite zigzag path is 1

Learn more about the Pythagorean theorem here:

https://brainly.in/question/48490459

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