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belka [17]
3 years ago
9

Margo draws a triangle. The lengths of the sides of the triangle are 8", 15" and 17". Margo uses the area of 3 squares to show t

hat the triangle is a right triangle. Which of these could be the area, in square units, of a square that Margo uses?
A. 32
B. 34
C. 46
D. 64
Mathematics
1 answer:
kobusy [5.1K]3 years ago
8 0

From the given options 64 units is the area of square that Margo used. So, option D is correct.

<u>SOLUTION: </u>

Given, Margo draws a triangle.  The lengths of the sides of the triangle are 8^{\prime \prime}, 15^{\prime \prime} \text { and } 17^{\prime \prime}

Margo uses the area of 3 squares to show that the triangle is a right triangle.  We have to find the area, in square units, of a square that Margo uses . Now, we know that, we can prove a triangle as right angled triangle using Pythagoras theorem  

\text { Pythagoras theorem } \rightarrow \text { hypotenuse }^{2}=\text { side }^{2}+\text { side }^{2}

Assume that above theorem is equation of area of one square = sum area of two squares.  Then, using area of three squares we can prove that a triangle is a right angle triangle.

Now, areas of the three squares will be 8^{2}, 15^{2}, 17^{2} \rightarrow 64,225,289

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3 years ago
A bacteria doubles its original population in 16 hours (A=2A0). How big will its population be in 96 hours?
Ray Of Light [21]

Answer:

The population will be 64 times larger after 96 hours.

Leave a comment if you'd like a more in-depth explanation.

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2 years ago
What is the area of this triangle in the coordinate plane?
Mars2501 [29]

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6 units

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
A salesperson is paid a flat rate plus a fixed percentage of her sales. Last month, she sold $16,000 worth of goods and was paid
Feliz [49]

Answer:

<em>She will be paid $1,350</em>

Step-by-step explanation:

<u>Linear Modeling</u>

Some events can be modeled as linear functions. If we are in a situation where a linear model is suitable, then we need two sample points to make the model and predict unknown behaviors.

The linear function can be expressed in the slope-intercept format:

y=mx+b, where m and b are constants.

The payments for a salesperson will be linearly modeled. There are two known points: When the sales were $16,000, the payment was $1,600. This makes the point (16,000;1,600).

We also know when the sales were $12,000, the payment was $1,400. The point is (12,000;1,400)

Let's use the points to find the values of m and b.

Using (16,000;1,600):

1,600=m*16,000+b

Using (12,000;1,400):

1,400=m*12,000+b

Subtracting both equations:

200=16,000m-12,000m

200=4,000m

Solving:

m=200/4,000=0.05

Using the first equation and the value of m:

1,600=0.05*16,000+b

1,600=800+b

Solving:

b=800

The equation is now complete:

y=0.05x+800

She sold $11,000 this month, so the payment is:

y=0.05\cdot 11,000+800

Y=550+800=1,350

She will be paid $1,350

3 0
3 years ago
- vnuәуре отти аропс
Daniel [21]

equation in slope-intercept form is:

y=9x+7

Step-by-step explanation:

The general form of slope-intercept form is:

y=mx+b

where m is the slope and b is the y-intercept

In the question we are given slope m=9 and a point(0,7)

We will find b i.e y-intercept

y=mx+b\\7=9(0)+b\\7=0+b\\b=7

So, value of b=7 and value of slope m=9

So, equation in slope-intercept form is:

y=9x+7

Keywords: slope-intercept form

Learn more about slope-intercept form at:

  • brainly.com/question/12954015
  • brainly.com/question/1979240
  • brainly.com/question/2601054

#learnwithBrainly

8 0
3 years ago
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