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scoray [572]
2 years ago
10

What is the solution of the system of equations? Enter the solution as an ordered pair (use decimal rounded to the nearest hundr

edth if necessary)
=32+54−2+8=−25
Mathematics
1 answer:
Nuetrik [128]2 years ago
4 0
32+54=86-10=76-25= 51
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The length of a rectangle is six times its width. If the area of the rectangle is 384^2, find its perimeter.
Leno4ka [110]

Answer:

Perimeter, P = 112 meters

Step-by-step explanation:

  • Let the length of the rectangle be L.
  • Let the width of the rectangle be W.

Translating the word problem into an algebraic expression, we have;

L = 6W  ...... equation 1

<u>Given the following data;</u>

  • Area of rectangle = 384 m²

To find the perimeter of the rectangle;

First of all, we would determine the dimensions of the rectangle using its area.

Mathematically, the area of a rectangle is given by the formula;

Area of rectangle = LW  ..... equation 2

Substituting eqn 1 into eqn 2, we have;

384 = 6W(W)

384 = 6W²

Dividing both sides by 6, we have;

W² = 384/6

W² = 64

Taking the square root of both sides, we have;

W = √64

Width, W = 8 meters

Next, we would find the length;

L = 6W

L = 6 * 8

Length, L = 48 meters

Lastly, we would determine the perimeter of the rectangle using the above dimensions;

Mathematically, the perimeter of a rectangle is given by the formula;

Perimeter = 2(L + W)

Substituting the values into the formula, we have;

Perimeter, P = 2(48 + 8)

Perimeter, P = 2(56)

<em>Perimeter, P = 112 meters</em>

4 0
3 years ago
The scores of five students on a quiz are 11, 21, 16, 7, and 10. Find the mean and median of the scores.
photoshop1234 [79]
Hello!

The mean is the average. To calculate it you add up all the numbers, and divide by how many numbers there were. So for example, if you had 1 and 3, you would add them and divide by two since there were two numbers. We will calculate the mean of this data set below.

(11+21+16+7+10)=65
65/5=13

The mean of the data set is 13.
---------------------------------------------------------------------------------------
Now we need to find the median. To do so we have to first order all of the numbers from least to greatest.

7,10,11,16,21

Now we have to find the number in the middle of the data set.

11 is our median. (Note that when calculating the median with an even number of data points, you will find the mean of the two center numbers)

I hope this helps!


4 0
3 years ago
Cards labeled 5, 6, 7, 8, and 9 are in a stack. A card is drawn and not replaced. Then, a second card is drawn at random. Find t
Rom4ik [11]

Answer:

1/10

Step-by-step explanation:

the probability of your first pick was 1/5, if not retured=ned, the probability of you getting an even number next will then be 2/4. (1/5)(2/4)=1/10

6 0
3 years ago
PLS HELP ASAP IM HAVING A STROKE UNDERSTANDING THIS
stich3 [128]

Answer:

Question number 5

Answer-parallelogram

5 0
2 years ago
Read 2 more answers
Encontrar las coordenadas del centro y la longitud del radio de la circunferencia 9x²+9y²+18x-12+10=0
bearhunter [10]

Answer:

Step-by-step explanation:

The standard form of equation of a circle is expressed as;

x^2+y^2+2gx+2fy+c = 0

The centre is at (-g, -f)

Given the equation'

9x²+9y²+18x-12+10=0

Divide through by 9

9x²/9+9y²/9+18x/9-12y/9+10/9=0

x^2+y^2+2x-4/3 y + 10/9 = 0

Compare

2gx = 2x

g = 1

2fy = -4/3 y

2f = -4/3

f = -4/6

f = -2/3

The centre is (-(-2/3), -1) = (2/3, -1)

for the radius

r = √f²+g²-c

r =√(-2/3)²+1²-10

r =√4/9 - 9

r = √(4-81)/9

r = √-77/9

7 0
3 years ago
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