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kifflom [539]
3 years ago
9

A square has an area of 200 square feet. How long is each side in simplest radical form?

Mathematics
2 answers:
lidiya [134]3 years ago
4 0

You need to estimate the square root of 200 ft². Rewrite 200 as 2 x 100, then square root of (2*100) is: 10*sqrt(2). The sqrt(2) = 1.414, so the length of each side of the square will be 10*1.414 = 14.14 ft or about 14 ft.

ivolga24 [154]3 years ago
3 0

Answer:

10\sqrt{2}

Step-by-step explanation:

(10\sqrt{2} ) x (10\sqrt{2} ) =200

A= l x w

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Multiply the width to the length

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3 years ago
Which line is parallel to the line<br> shown below?
Travka [436]
<h3>Answer:  Choice D</h3>

4x - 3y = 15

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

Explanation:

The two points (-1,-1) and (2,3) are marked on the line

Let's find the slope of the line through those two points.

(x_1,y_1) = (-1,-1) \text{ and } (x_2,y_2)  = (2,3)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{3 - (-1)}{2 - (-1)}\\\\m = \frac{3 + 1}{2 + 1}\\\\m = \frac{4}{3}\\\\

The slope is 4/3 meaning we go up 4 and to the right 3.

-------------

Parallel lines have equal slopes, but different y intercepts. We'll need to see which of the four answer choices have a slope of 4/3.

Solve the equation in choice A for y. The goal is to get it into y = mx+b form so we can determine the slope m.

3x + 4y = -4\\\\4y = -3x-4\\\\y = -\frac{3}{4}x-\frac{4}{4}\\\\y = -\frac{3}{4}x-1

Equation A has a slope of -3/4 and not 4/3 like we want.

Therefore, this answer choice is crossed off the list.

Follow similar steps for choices B through D. I'll show the slopes of each so you can check your work.

  • slope of equation B is 3/4
  • slope of equation C is -4/3
  • slope of equation D is 4/3

We have a match with equation D. Therefore, the equation 4x-3y = 15 is parallel to the given line shown in the graph.

You can use graphing tools like Desmos or GeoGebra to confirm the answer.

4 0
9 months ago
Three out of four students in a school said they would vote for nuncio for class president. Predict how many of the 340 students
Papessa [141]
3/4 = x / 340....3 to 4 students = x to 340 students
cross multiply
(4)(x) = (3)(340)
4x = 1020
x = 1020/4
x = 255 <==

or this way.....

3 out of 4 students.....3/4 = 75%
so 75% of 340 = 0.75(340) = 255 <=
4 0
3 years ago
The sum of one and the product of a number and two is thirteen
Zigmanuir [339]

Answer:

2x + 1=13

Step-by-step explanation:

the product of a number and 2 (2x)

sum of 1 (+1)

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6 0
3 years ago
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