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2 years ago

The quadrilateral shown is rotated 90° clockwise about the origin. In which quadrant is the image of the quadrilateral located?

Mathematics

1 answer:

Viktor [21]2 years ago

4 0

Answer:

Option (2). 1

Step-by-step explanation:

Coordinates of point A, B, C and D are,

A(-4, 4), B(-2, 4), C(-2, 1) and D(-4, 3).

Quadrilateral ABCD when rotated 90° clockwise about the origin,

Rule for the rotation of the vertices,

(x, y) → (y, -x)

Following the rule of rotation coordinates of the image points,

A(-4, 4) → A'(4, 4)

B(-2, 4) → B'(4, 2)

C(-2, 1) → C'(1, 2)

D(-4, 3) → D'(3, 4)

Since all image points have the positive coordinates (x and y coordinates), image quadrilateral A'B'C'D' will be located in 1st quadrant.

Option (2) is the correct option.

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Lila flies a drone in the direction of 90° towards Avery. Once she gets to Avery she changes course and flies in the direction o

Nikitich [7]

Answer:

X = 13.13 feet

Step-by-step explanation:

Let the distance between Lila and Mark be x.

Let the distance between Avery and lila be A= 20

Let the distance between Avery and Mark be B= 30

Angle x = 200-180=20°

To solve this question we will use the cosine formula which is

X² = A²+ B² -2ABcosx

X²= 20² + 30² -2(20)(30)cos20

X²=1300-1127.6

X²= 172.4

X= 13.13

8 0

3 years ago

Alex needs to catch a train. The train arrives randomly some time between $1:00$ and $2:00$, waits for $10$ minutes, and then le

creativ13 [48]

The probability that the train will be there when Alex arrives is 5/18

If Alex arrives at any time after 1.20pm the chances that train will be there is 1/3.

However if alex arrives at 1.00pm exactly there is no chance the train will be arrive there.

The probability that the train will be there increase linearly to 1/3 as alex's arrival time moves from 1.00pm to 1.20pm.

By arranging the probabilities over the first 20 minutes to get a 1/6 chance the train will be there if alex arrives between 1.00pm to 1.20pm

we get the final answer by

=1/3( 1/6 + 1/3 + 1/3)

=5/18

So, the probability that the train will be there when Alex arrives is 5/18

Learn more about PROBABILITY here

brainly.com/question/24756209

#SPJ4

3 0

2 years ago

Simplify the expression. <br> 100^(1/2)-125^(1/3)<br> PLEASE HELP OFFERING 24 POINTS

Alecsey [184]

Type it into Google and it will solve for you.

100^(1/2)-125^(1/3) = 10-5 = 5

5 0

3 years ago

Helppppppppppppppppppppp!

In-s [12.5K]

Answer:

1:3

Step-by-step explanation:

Since your scaling down you divide the smaller number by the larger number

7/21=1/3

=1:3

Hope this helps :)

5 0

2 years ago

In order to test for the significance of a regression model involving 3 independent variables and 47 observations, the numerator

matrenka [14]

Answer:

The correct option is C

Step-by-step explanation:

From the question we are told that

The number of independent variables is $n = 3$

The number of observation is $z = 47$

Since n is are independent variables then their degree of freedom is 3

The denominator(i.e z) degrees of freedom is evaluated as

$Df(z) = z - (n +1)$

$Df(z) = 47 - (3 +1)$

$Df(z) = 43$

So for the numerator (n) the degree of freedom is Df(n) = 3

So for the denominator(i.e z) the degree of freedom is Df(z) = 43

4 0

3 years ago