All categories

3 years ago

Write an expression in simplest form for the perimeter of each figure.

Mathematics

1 answer:

Vlad [161]3 years ago

8 0

Answer: $P=5y+11x$

Step-by-step explanation:

To solve this problem you must apply the proccedure shown below:

- By definition, the perimeter of the figure is the sum of the lenght of each side. Then, you must make the addition as following:

$P=2.8y+2x+2.2y+5x+4x$

Where $P$ is the perimeter of the figure.

- Add the like terms, then, you obtain the following expression in simplest form:

$P=5y+11x$

You might be interested in

What is the difference? ( -4x + 3) - (7x -<img src="https://tex.z-dn.net/?f=3x%5E%7B2%7D" id="TexFormula1" title="3x^{2}

trapecia [35]

The answer is 3x^2-19x+1

(-4x+3)-(7x-3x^2-1)
-12x+7x+3x^2+1

Combine like terms:
3x^2+(-12x+-7x)+1
= 3x^2+-19x+1

3 0

3 years ago

Find the solutions for a triangle with a = 16, c =12, and B = 63º.

maks197457 [2]

Answer:

b. A = 71.6°; C = 45.40°; b =15.0

Step-by-step explanation:

The missing values can be found with the help of the Law of Cosine and properties of triangles:

Side b (Law of Cosine)

$b = \sqrt{a^{2}+c^{2}-2\cdot a \cdot c \cdot \cos B}$

$b = \sqrt{16^{2}+12^{2}-2\cdot (16)\cdot (12) \cdot \cos 63^{\circ}}$

$b \approx 15.022$

Angle A (Law of Cosine)

$\cos A = -\frac{a^{2} - b^{2}-c^{2}}{2\cdot b \cdot c}$

$\cos A = - \frac{16^{2}-15.022^{2}-12^{2}}{2\cdot (15.022)\cdot (12)}$

$\cos A = 0.315$

$A= \cos^{-1} 0.315$

$A \approx 71.639^{\circ}$

Angle C (Sum of internal angles in triangles)

$C = 180^{\circ} - 63^{\circ} - 71.639^{\circ}$

$C = 45.361^{\circ}$

Hence, the right answer is B.

6 0

3 years ago

Tom used a photocopier to dilate the design for a monorail track system. The figure shows the design and its photocopy:

Anna71 [15]

Answer:14

Step-by-step explanation:

because it is

8 0

3 years ago

Read 2 more answers

X= A) 80 B) 90 C) 100

Sunny_sXe [5.5K]

X= A) 80 I believe you double 120 to 240 and divide by the 4 quarters.

6 0

4 years ago

Read 2 more answers

LM = JK then JK = LM What property is this?

konstantin123 [22]

This example is the Symmetric Property.

I hope this helps you!
xo, Leafling

5 0

3 years ago