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kolbaska11 [484]
3 years ago
15

Dani measured the angles of a triangle as 125 degree, 36 degree, and 24 degree. Then, she measured the side lengths as 25.3 cm,

17.2 cm, and 11.8 cmon. She said that her triangle is an isosceles obtuse triangle. Do you agree? Explain.
Mathematics
1 answer:
Delicious77 [7]3 years ago
4 0
No, because first of all 125 +36 + 24 should equal 180° not 185° because the area of a triangle always has an area of 180. Second, you don't even have to calculate anything because an isosceles triangle has two measures that are the same °∞° Hope this helps!
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Help it’s slope idk how to do it
Over [174]

a. \boxed{y-602=\frac{2}{3}(x-3)}

b. For every month the pine tree grows about 0.67 inches.

c. <em> </em>It represents the height of the tree at the moment Ariel started to record the heights.

<h2>Explanation:</h2>

<h3>PART A.</h3>

In this exercise we have that in July Ariel recorded the height of a pine tree and how quickly it was expected to grow in next several months. From the Table, we can get the following points:

P_{1}(3,602) \\ \\ P_{2}(6,604) \\ \\ P_{3}(q,606) \\ \\ P_{4}(12,608)

It is obvious that this problem follows a linear equation, so our goal is to find the equation that matches the Table.

The point slope form of the equation of a line is:

y-y_{1}=m(x-x_{1}) \\ \\ Where: \\ \\ m:Slope \\ \\ (x_{1}, y_{1}):A \ point \ on \ the \ line

Finding (m):

Using: \\ \\ P_{1}(x_{1},y_{1}) \rightarrow P_{1}(3,602) \\ \\  P_{2}(x_{2}, y_{2}) \rightarrow P_{2}(6,604) \\ \\ m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{604-602}{6-3} \\ \\ m=\frac{2}{3}

Finally, the equation of the line is:

(x_{1}, y_{1}) \rightarrow (3,602) \\ \\ \boxed{y-602=\frac{2}{3}(x-3)}

<h3>PART B.</h3>

In this case, we have that:

  • The x-axis represents the <em>Number of Months </em>the pine tree was expected to grow.
  • The y-axis represents the <em>Height  of the Tree </em>in inches.

Since the slope o a line is:

Slope=\frac{Change \ in \ y}{Change \ in \ x}=\frac{2}{3}

Then, this means that<em> every three months the pine tree grows two inches, </em><em>or </em><em>for every month the pine tree grows about 0.67 inches.</em>

<h3>PART C.</h3>

The y-intercept can be found setting x=0. So, from our equation:

y-602=\frac{2}{3}(x-3)} \\ \\ \\ If \ x=0: \\ \\ y-602=\frac{2}{3}(0-3) \\ \\ y-602=-2 \\ \\ Solving \ for \ y: \\ \\ y=602-2 \\ \\ y=600

So the y-intercept is y=600 and<em> represents the height of the tree at the moment Ariel started to record the heights.</em>

<h2>Learn more:</h2>

Slope Intercept form: brainly.com/question/4192440

#LearnWithBrainly

4 0
3 years ago
What are the discontinuities of the function y= 1500/x
Ratling [72]
The discontinuity occurs at x = 0, since that is the only "problem" place in the graph that makes the function undefined. A vertical asymptote exists there. It is nonremoveable.
4 0
3 years ago
A copy machine makes 24 copies per minute. how many copies does it make in 5 minutes and 30 seconds
enot [183]
In 1 minute the copy machine copies = 24
That means
In 60 seconds the copy machine copies = 24
First we need to convert 5 minutes and 30 seconds to seconds
Then
5 minutes and 30 seconds = (5 * 60) + 30
                                           = 300 + 30
                                           = 330 seconds
So
In 330 seconds the copy machine will copy = (24/60) * 330
                                                                     = 4 * 33
                                                                     = 132
So in 5 minutes and 30 seconds the copy machine will copy 132 copies.
6 0
3 years ago
Read 2 more answers
Why is the inequality x≤6 equivalent to the inequality x−5≤6−5
Monica [59]

Two inequalities are equivalent if they have the same set of solutions.

x - 5 ≤ 6 - 5

x - 5 ≤ 1    |add 5 to both sides

x ≤ 6

8 0
3 years ago
4= 6/a + 5 solve for x
Scorpion4ik [409]

Answer:

a=-6

Step-by-step explanation:

4= 6/a + 5

Subtract 5 from each side

4-5= 6/a + 5 -5

-1 = 6/a

Multiply by a on each side

-1*a = 6/a *a

-a =6

Multiply by -1

a= -6

6 0
3 years ago
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