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OLEGan [10]
3 years ago
15

rectangle will have length 3n+ 6 and height 2n−1 inches, while the square will have side length n+ 2inches. Find the perimeter a

nd area of your creation. Give your answers in fully factored form and includeunits. As part of your solution, redraw the below picture labelling all the sides.
Mathematics
1 answer:
kifflom [539]3 years ago
6 0

Answer:

Perimeter: 2(3x+6)+ 2(2x-4)

X=9

Step-by-step explanation:

In order to create the expression you just have to remember that the perimeter of a rectangle equals 2 bases plus 2 sides, so the expression would be:

Perimeter: 2(heights)+ 2(bases)

Perimeter: 2(3x+6)+ 2(2x-4)

IN order to solve for X we just have to insert the value of perimeter, which is 94:

Perimeter: 2(3x+6)+ 2(2x-4)

94=2(3x+6)+ 2(2x-4)

94= 6x+12+4x-8

94=10x+4

94-4=10x

x=90/10

x=9

So the value of x would be 9.

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PLEASE HELP. !!!!!!!!!
Elan Coil [88]
That question is already answered on brainly. Search it up
4 0
3 years ago
Which of the following accurately describes the median of a set of data? Multiple choice question. The midpoint of the data when
Thepotemich [5.8K]

Answer:

The midpoint of the data when it is arranged in order.

Step-by-step explanation:

Median can be described as the number that occurs in the middle of a set of numbers that are arranged either in ascending or descending order

For example, the median of the following set of numbers is 5

1, 2, 5, 10, 20

Range is the difference between the highest and lowest values of a set of observations

Range = highest value - lowest value

Mean is the average of a set of numbers. It is determined by adding the numbers together and dividing it by the total number

Mean = sum of the numbers / total number

4 0
3 years ago
How do I do this? It is a regular hexagon with a height of 30. We have to find the perimeter of it.
Sliva [168]

Answer:

The radius of a hexagon is called the apothem, which in this case is 15.

We need to know the side length which is found by the equation:

side length = apothem * 2 * (tan (180 / #sides))

side length = apothem * 2 * (tan (180 / 6))

side length = 15 * 2 * (tan (30 degrees))

side length = 30 * .57735

side length = 17.3205

We need the perimeter of the hexagon which equals the side length times six.

perimeter = 6 * 17.3205 = 103.923

Source: https://www.1728.org/polygon.htm

Step-by-step explanation:

8 0
4 years ago
Luis hizo un viaje en el coche en el cual consumio 20 l de gasolina. el trayecto lo hizo en dos etapas en la primera consumio 2/
algol13

Answer: 24\ liters

Step-by-step explanation:

Let be "x" the amount of gasoline in liters that the car's tank had at the beginning of the trip.

 1. In the first part of the trip the amount of gasoline the car used can be expressed as:

 \frac{2}{3}x

2. After the first part of the trip, the remaining was:

x-\frac{2}{3}x=\frac{1}{3}x  

3. In the second part of the trip the car used \frac{1}{2} of the remaining. This is:

(\frac{1}{3}x)(\frac{1}{2})=\frac{1}{6}x

4. The total amount ot gasoline used in this trip was 20 liters.

5. Then, with this information, you can write the following equation:

\frac{2}{3}x+\frac{1}{6}x=20

6. Finally, you must solve for "x" in order to find its value. This is:

\frac{2}{3}x+\frac{1}{6}x=20\\\\\frac{5}{6}x=20\\\\5x=120\\\\x=24

3 0
3 years ago
Look at the triangle show on the right. The Pythagorean Theorem states that the sum of the squares of the legs of a right triang
Vladimir [108]

Answer:

cos^2\theta + sin^2\theta = 1

Step-by-step explanation:

Given

(\frac{b}{r})^2  + (\frac{a}{r})^2

Required

Use the expression to prove a trigonometry identity

The given expression is not complete until it is written as:

(\frac{b}{r})^2  + (\frac{a}{r})^2  = (\frac{r}{r})^2

Going by the Pythagoras theorem, we can assume the following.

  • a = Opposite
  • b = Adjacent
  • r = Hypothenuse

So, we have:

Sin\theta = \frac{a}{r}

Cos\theta = \frac{b}{r}

Having said that:

The expression can be further simplified as:

(\frac{b}{r})^2  + (\frac{a}{r})^2  = 1

Substitute values for sin and cos

(\frac{b}{r})^2  + (\frac{a}{r})^2  = 1 becomes

cos^2\theta + sin^2\theta = 1

3 0
4 years ago
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