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Talja [164]
3 years ago
14

Three corners of a city bloc is located at (2,2) (2,-4) (-5,-4) on a coordinate plane what are the coordinates of the fourth cor

ner
Mathematics
1 answer:
AleksandrR [38]3 years ago
4 0

Answer:

(-5, 2)

Step-by-step explanation:

Three corners of a rectangular city block are located at (2,2), (2,-4) and (-5,-4) on a coordinate plane. What are the coordinates of the fourth Coordinate?

Solution:

A rectangle is a quadrilateral (has four sides and four angles) in which opposite sides are equal and parallel. Also, all the angles are at 90 degrees.

Since the city block is rectangular in shape, therefore the fourth coordinate would have the same y coordinate as the point (2, 2) and it would also have the same x coordinate as (-5, -4).

Hence the fourth coordinate is (-5, 2)

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This shape is made up if the following
Alex

Answer:

a. 100.48

b. 1,004.8

c. 1,105.28

Step-by-step explanation:

a. a cone with volume = ⅓×3.14×4²×6=

100.48

b. a cylinder with volume = 3.14×4²×20=

1,004.8

c. total volume = 100.48+1,004.8

= 1,105.28

5 0
3 years ago
At south side middle school 20% of the students play an instrument . There are 305 students . How many students play an instrume
bulgar [2K]
That's 20% of 305.
You could set up the problem as a ratio.
20                x
---        =    ------
100            305

100x =  6100
      x = 61
3 0
3 years ago
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Which ordered pairs are on the line ​ 4x−3y=8 ​? Select each correct answer. ​
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The last choice is correct
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3 years ago
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While visiting Wallawulla State​ Park, Joe approximated the angle of elevation to the top of a mound to be 40 degrees . After wa
katen-ka-za [31]

Answer:

Height of mound = 794 ft

Step-by-step explanation:

To illustrate the angle of elevation and distance, i have drawn it and attached below.

Now, from my diagram;

h = the height of the mound

At his first point of his trip to the foot of the mound, the angle of elevation is 40°, while the horizontal distance to the foot of the mound is "X"

So, by triangle definition,

tan(40°) = h/x

And so;

h = x tan40

h = 0.8391x  - - - - (eq 1)

At his second point of the trip to the foot of the mound, Joe is now,

"(x - 450) ft" from the foot of the mound.

Thus, his angle of elevation is 40 + 18 = 58°.

So, by triangle definition,

tan(58°) = h/(x - 450)

h = (x - 450)•(tan(58°))

h = 1.6003(x - 450)

h = 1.6003x - 720.135   - - - - -(eq2)

To get the height(h) of the mound, let's equate (eq1) to (eq2).

0.8391x = 1.6003x - 720.135

1.6003x - 0.8391x = 720.135

0.7612x = 720.135

x = 720.135/0.7612

x = 946.0523 ft

Let's put this value for x in eq (1);

h = 0.8391 x 946.0523 = 793.83 ft ≈ 794ft

4 0
3 years ago
PLEASE HELP!!<br> Solve for x and y<br> 1/3x-2=1/3x+3
goldfiish [28.3K]

Answer:

no solution, 1/3x - 2 ≠ 1/3x + 3

where is the 'y'?

Step-by-step explanation:

3 0
2 years ago
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