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andreev551 [17]
3 years ago
12

Find the perimeter of the following shape, rounded to the nearest tenth:

Mathematics
1 answer:
OLga [1]3 years ago
6 0

Answer: the perimeter of the shape is 19.1

Step-by-step explanation:

To determine the length of each side of the quadrilateral, we would apply Pythagoras theorem which is expressed as

Hypotenuse² = opposite side² + adjacent side

For line AD,

AD² = 2² + 4² = 4 + 16 = 20

AD = √20 = 4.47

For line AB,

AB² = 1² + 5² = 1 + 25 = 26

AB = √26 = 5.1

For line BC,

BC² = 2² + 4² = 4 + 16 = 20

BC = √20 = 4.47

For line CD,

CD² = 1² + 5² = 1 + 25 = 26

CD = √26 = 5.1

The perimeter of a plane figure is the distance around the figure. Therefore

Perimeter = AB + AB + BC + CD

Perimeter = 4.47 + 5.1 + 4.47 + 5.1 =

19.1

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I need help with this question: Label: Coefficients, variables, terms, and constant. −2x2 + 9x − 3
iVinArrow [24]

Answer:

  coefficients: {-2, +9, -3}

  variables: {x}

  terms: {-2x^2, 9x, -3}

  constant: {-3}

Step-by-step explanation:

It is difficult to "label" here, so we'll list each, separated by commas.

<u>Coefficients</u>

Coefficients are the multiplicative factor of an expression. Depending on the expression of interest, it may consist of numbers, variables, or expressions. Here, we consider the expression of interest to be powers of x, so the coefficients are as listed. The last one (-3) is sometimes called a "constant coefficient." It multiplies x^0.

  coefficients: {-2, +9, -3}

<u>Variables</u>

A variable is usually a letter, symbol, or sequence of letters and symbols, that stands for something else--usually an unknown quantity. Its meaning and value will depend on the context. Generic variables are usually taken from the end of the alphabet: x, y, z. Their capitalization, font, or face may give special meaning. For example bold-face capital letters may be used to represent vectors or matrices.

  variables: {x}

<u>Terms</u>

A term is a product of coefficients and variables. Terms in a polynomial are separated by addition or subtraction symbols.

  terms: {-2x^2, 9x, -3}

<u>Constant</u>

"Constant" usually refers to a term containing no variables. It generally refers to a value that doesn't change.

  constant: {-3}

8 0
3 years ago
Ms. Hatcher bought the pencil decoration shown below for her bulletin board.
Gre4nikov [31]

Answer:

335.5 in^2

Step-by-step explanation:

The area is a rectangle and a triangle

The area of the rectangle is

A = a*b where a is 11 and b is 25

A = 11*25 =275

The area of the triangle is

A = 1/2 b*h  where b is 11 and h is 11

A = 1/2 (11) * 11

A = 60.5

The total area is 275+60.5=335.5

7 0
3 years ago
Read 2 more answers
If the roofs slope is 0.5 how high will the roof rise over a 17-Foot Run
Kazeer [188]
<span>17-foot run will be 8.5 feet I think this may be right </span>
8 0
3 years ago
an old woman sold 38 roses on street corner A and 45 on strete corner b all at the same price. if she sold $124.50 in total, wha
MissTica

Answer: $1.50 per rose

Step-by-step explanation: You add 38 and 45, because you want to find the total of the roses she sold. 38 + 45 = 83. Then you have to divide the total price by how many roses she sold. So, 124.50 / 83 = 1.5. So, it's $1.50 per rose.

4 0
2 years ago
Which of these statements is the Best conclusion for the following list of statements?
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The answer is the last choice in the list. Angle A and angle B are equivalent angles.

Hope this helps! :)
6 0
2 years ago
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