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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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In right triangle KLM, KL =14 and angle L=30° and angle M=90°. Find KM. Leave your answer in the simplest radical form.
salantis [7]

Answer:

KM = 7 Units

Step-by-step explanation:

In the given structure ΔKLM

∠KLM = 30° and side KL = 14 and ∠KML = 90°

and we have to find the measurement of KM.

From right angle triangle KLM

Side Sin30° = KM/KL = KM/14

KM = 14×sin30° = 14×1/2 = 7

So the answer is KM = 7 Units

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3 years ago
If A = {2, 3, 4, 5} and B = {5, 6, 7, 8}, what is A U B?<br>{2, 3, 4, 5, 6, 7, 8)<br>{5}​
Ulleksa [173]

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<em> </em><em>A</em><em> </em><em>U</em><em> </em><em>B</em><em>=</em><em>{</em><em>2</em><em>,</em><em>3</em><em>,</em><em>4</em><em>,</em><em>5</em><em>}</em><em> </em><em>U</em><em> </em><em>{</em><em>5</em><em>,</em><em>6</em><em>,</em><em>7</em><em>,</em><em>8</em><em>}</em>

<em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em>=</em><em>{</em><em>2</em><em>,</em><em>3</em><em>,</em><em>4</em><em>,</em><em>5</em><em>,</em><em>6</em><em>,</em><em>7</em><em>,</em><em>8</em><em>}</em>

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Ludmilka [50]

Answer:

600 numbers

Step-by-step explanation:

For six-digit numbers, we need to use all digits 8,0,1,3,7,5 each once.

However, 0 cannot be used as the first digit, because it would make a 5-digit number.

Therefore

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there are 5 choices for the first digit (include 0)

there are 4 choices for the first digit

there are 3 choices for the first digit

there are 2 choices for the first digit

there are 1 choices for the first digit

for a total of 5*5*4*3*2*1 = 600 numbers

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Answer:

Step-by-step explanation:

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We need to find the value of the hypotenuse in order to solve this problem.

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=1/(√10)

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3 years ago
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