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3 years ago

Solve the linear equation x+3+x-8+x=55

Mathematics

1 answer:

babymother [125]3 years ago

4 0

Answer:

X= 20

Step-by-step explanation:

X+X+X+3-8 = 55 (Place Like terms together)

3x - 5 = 55 (Simplifying Like terms by adding and subtracting)

3x = 55+5 ( Move -5 towards Right hand side of equal as there is 55 which is like term of -5 and if we move any number or value from one side of equal towards other the sign of that value would change)

3x = 60

X= 60/3 ( Move 3 toward others side as there is like term of 3 which is 60 but as on Left hand side of equal sign 3 is multiplying with "X" so when we move any number or value toward other side the operation or sign of that value or number would be change, Multiply change into Divide and vice versa and Add change into subtraction and vice versa)

X= 20

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3 years ago

A rectangle, a triangle, and two congruent semicircles were used to form the figure shown. Rectangle 5cm,20cmcircle : radius 5cm

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Answer:

The area of a shape is the amount of space it occupies

Step 1:

We start by calculating the area of the rectangle using:

$\begin{gathered} A_{rectangle}=l\times b \\ \end{gathered}$

By substituting the values, we will have

$\begin{gathered} A_{rectangle}=l\times b \\ A_{rectangle}=20cm\times5cm \\ A_{rectangle}=100cm^2 \\ A_1=100cm^2 \end{gathered}$

Step 2:

we calculate the area of the triangle using:

$A_{triangle}=\frac{1}{2}\times base\times height$

By substituting the values, we will have

$\begin{gathered} A_{tr\imaginaryI angle}=\frac{1}{2}\times base\times he\imaginaryI ght \\ A_{tr\mathrm{i}angle}=\frac{1}{2}\times10cm\times8cm \\ A_{tr\mathrm{i}angle}=\frac{80cm^2}{2} \\ A_{tr\mathrm{i}angle}=40cm^2 \\ A_2=40cm^2 \end{gathered}$

Step 3:

Calculate the area of the two semicircles

$A_{semicircle}=\frac{\pi r^2}{2}$

By substituting the values, we will have

$\begin{gathered} A_{sem\imaginaryI c\imaginaryI rcle}=\frac{\pi r^{2}}{2} \\ A_{sem\mathrm{i}c\mathrm{i}rcle}=3.14\times\frac{5^2}{2} \\ A_{sem\mathrm{i}c\mathrm{i}rcle}=39.25cm^2 \\ Area\text{ of two semicircle will be} \\ A_3=39.25cm^2\times2 \\ A_3=78.5cm^2 \end{gathered}$

Step 4:

Calculate the area of the shape

We will calculate the area of the shape by adding all the individual areas together