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maw [93]
3 years ago
8

A city planner is mapping out some new features for a triangle park. She sketches the park on a grid paper. The coordinates of t

he vertices of the park are (1, 1), (1, 4), and (-3, 4).
Mathematics
1 answer:
Alecsey [184]3 years ago
5 0

Answer:

Perhaps, she is interested in finding the area enclosed by this triangular park.

Step-by-step explanation:

The area of the triangle enclosed by the three points

A(1,1), B(1,4) and C(-3,4) in this question will be given by

|Ax ( By  − Cy)+ Bx(Cy−Ay)+ Cx(Ay− By) |/2  

=|1(4-4)+1(4-1)+-3(1-4)|/2=10/5= 5 sq. units.

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Find the value if x and if nessesary express your answer as a simplified radical
tekilochka [14]

Answer:

10 rad 3 / 2

Step-by-step explanation:

x = missing angle of the full traingle

180 - (90 + 60) = x

180 - 150 = x

30 = x

10 rad 3 / 2 = x

this is just my understanding of the problem- im sorry if im incorrect

4 0
3 years ago
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navik [9.2K]

Answer:

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8 0
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21 is 84% of what number?
Radda [10]
21 is 84% of 25

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7 0
3 years ago
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Leni [432]

Answer: your answers are correct. I inserted an image of the answers.

3 0
3 years ago
Find the reference angle given: t= -5π/3.
Elina [12.6K]

Answer:

The reference angle is \frac{\pi}{3}

Step-by-step explanation:

The given angle is t=-\frac{5\pi}{3}

The reference angle is the acute angle, that a given angle  makes with the x-axis.

First let us make a sketch of the given angle. <em>See diagram in attachment.</em>

Let \theta be the reference angle of  t=-\frac{5\pi}{3}


Then, from the diagram, we need to subtract \theta from -\frac{5\pi}{3} to get to -2\pi.


We can therefore write the following equation and solve for \theta.


\Rightarrow -\frac{5\pi}{3}-\theta=-2\pi


We group like terms to get,

\Rightarrow -\theta=-2\pi +\frac{5\pi}{3}

We collect LCM to get,

\Rightarrow -\theta=\frac{-6\pi+5\pi}{3}

We simplify to get,

\Rightarrow -\theta=-\frac{\pi}{3}

We divide through by -1

\theta=\frac{\pi}{3} to get,

The correct answer is D.







4 0
3 years ago
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