All categories

3 years ago

The vertices of a rectangle are located at (1, 2), (5,0), (2, -6), and (-2,-4). What is the area of the rectangle?

Mathematics

1 answer:

Marianna [84]3 years ago

6 0

Answer:

30 units square

Step-by-step explanation:

I would recomend using Desmos to plot the points to see the rectangle. When you plot it the rectangle seems to be rotated, so we will have to use pythagorean theorem to find the side lengths. Once you find the side lengths you multiple them and get about 30 square units.

You might be interested in

Solve for n. --42 – 6n = -30

rodikova [14]

N=-2
Add 42 to both sides to get -6n=12
Divide both sides by -6

7 0

3 years ago

Mae has a number cube with 6 sides that are numbered 1 through 6. What is the probability that Mae will roll an odd number?

Stels [109]

Answer:

C) $P(E) = \frac{3}{6}$

The probability that Mae will roll an odd number

$P(E) = \frac{3}{6}$

Step-by-step explanation:

Step(i):-

Given that Mae has a number cube with 6 sides that are numbered 1 through 6.

n(S) = { 1,2,3,4,5,6,} = 6

Let 'E ' be the event of odd numbers

Mae will roll an odd number

n(E) = {1, 3, 5} = 3

Step(ii):-

The probability that Mae will roll an odd number

$P(E) = \frac{n(E)}{n(S)} = \frac{3}{6}$

$P(E) = \frac{3}{6}$

4 0

3 years ago

Can you please explain how to write the ratios for sin x and cos x? When angles are x, y, and z. The hypotenuse being 12 and is

Kamila [148]

Your triangle has acute angles X and Y, and right angle Z.

For an acute angle A in a right triangle:

The sine is the ratio of the opposite leg to the hypotenuse.
sin A = opp/hyp

The cosine is the ratio of the adjacent leg to the hypotenuse.
cos A = adj/opp

The hypotenuse of a right triangle is the side opposite the right angle. It is the longest side of a right triangle. There is only one hypotenuse in a triangle, so there is no confusion with the hypotenuse.

The two sides that form the right angle are called the legs. Each leg is opposite an acute angle. The legs may or may not be congruent to each other, but each leg is always shorter than the hypotenuse. Since there are two legs, we need to be able to distinguish them. If you take an acute angle as your angle of interest, the leg that is part of the angle is called the adjacent leg. The other leg is the opposite leg. Adjacent leg and opposite leg are relative terms. They depend on the acute angle you are considering.

For your triangle, if you look at angle X, then the adjacent leg is side XZ. The opposite leg for angle X is side YZ.

Using the ratios mentioned above for sine and cosine, you get:

sin X = opp/hyp = sqrt(119)/12

cos X = adj/hyp = 5/12

7 0

3 years ago

PLEASE HELP ME!! I NEED HELP WITH THIS

Gala2k [10]

Answer: It is answer C.

Step-by-step explanation: Because of the location and angle of the line, it intersects at 9 on the y axis and 1 on the x, therefore giving you 9 over 1

3 0

3 years ago

Which of the following is the decimal 0.6250 written as a fraction in lowest form

geniusboy [140]

The answer is 5/8. Hope this helps

6 0

3 years ago