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horsena [70]
3 years ago
5

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

he vertices of the park are (1, 1), (1, 4), and (−3, 4).
The city planner wants to put recycling bins at the circumcenter of the park. What are the coordinates of the recycling bins?
Mathematics
2 answers:
ivann1987 [24]3 years ago
7 0

Answer:

Step-by-step explanation:

hgfdsdfghjklp;polkjhgfdfghjkl;lkjhgf

valentinak56 [21]3 years ago
5 0

Answer:

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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If <img src="https://tex.z-dn.net/?f=sin%5Ctheta%20%3D%20%5Cfrac%7B1%7D%7B3%7D" id="TexFormula1" title="sin\theta = \frac{1}{3}"
vlada-n [284]

Answer:

- 0.183

Step-by-step explanation:

Given that \sin \theta = \frac{1}{3}

and \frac{\pi }{2} < \theta  < \pi

We have to find the exact value of \sin (\theta + \frac{\pi }{6} ).

Now, \sin \theta = \frac{1}{3}

⇒ \theta = \sin ^{-1} (\frac{1}{3} ) = 19.47

Now, since  \frac{\pi }{2} < \theta  < \pi,

So, \theta  = 180 - 19.47 = 160.53

{Since \sin \theta = \sin (180 - \theta)

Now, \theta + \frac{\pi }{6} = 160.53 + 30 = 190.52

Hence, \sin (\theta + \frac{\pi }{6} ).

= \sin 190.52

= - 0.183 (Approximate) (Answer)

7 0
3 years ago
10. Write in slope-intercept form:<br> -3x + 4y = 12
Anastasy [175]

Answer:

Step-by-step explanation:

Write in slope-intercept form:

-3x + 4y = 12 is

 Slope = 1.500/2.000 = 0.750

 x-intercept = 12/-3 = 4/-1 = -4.00000

 y-intercept = 12/4 = 3

7 0
3 years ago
Write a number in the box to make this number sentence true.
I am Lyosha [343]
24

24/(9+3)=2
24/12=2
5 0
4 years ago
A school group of 3 adults and 34 students is visiting an aquarium.Admission is $16 per adult and $9 per student. Which expressi
Sergeeva-Olga [200]

Answer:

it will cost $ 354 and expression used is  y= 3(16) + 34(9)

Step-by-step explanation:

Suppose the total cost is given by y $

y=  3(16) + 34(9)

y= 48+ 306

y= $354

3 0
3 years ago
Please help no links
Nina [5.8K]

Answer:

x=5 y=-6

Step-by-step explanation:

3x+y=9 ------eqn1

y=4-2x -------eqn2

using substitution

put y=4-2x into eqn1

3x+4-2x=9

x=5

put x=5 into eqn2

y=4-2(5)

y=4-10

y=-6

8 0
3 years ago
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