MATHEMATICS HIGH SCHOOL

A regular hexagon has a perimeter of 42cm what is the length of one side

Answers

Answer 1

Answer:

The length of side is 7cm

We have given that the regular hexagon whose perimeter is 42 cm

We have to calculate the length of one side

What is the formula for regular hexagon?

$Perimeter=6s$

Where s is the side of the hexagon

We have p=42cm

$42=6s\n\ns=(42)/(6) \n\ns=7$

Therefore the length of side is 7cm

To learn more about the hexagon visit:

brainly.com/question/1615720

Answer 2

Answer: A hexagon has six sides. The perimeter is 42. So, take 42 divide by 6 then you get 7 cm.

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Maggie's brother is 3 years younger than twice her age the sum of their ages is 24. how old is Maggie?

Answers

For this case, the first thing we must do is define variables.

We have then:

x: Maggie's age

y: Age of Maggie's brother

We write the system of equations that models the problem.

We have then:

We solve the system of equations.

For this, we use substitution:

From here, we clear the value of x:

Answer:

Maggie is 9 years old

Maggie's age is 9

Further Explanation

One variable linear equation is an equation that has a variable and the exponent number is one.

Can be stated in the form:

$\large {\boxed {\bold {ax=b}}$

ax + b = c,

where a, b, and c are constants, x is a variable

Whereas the two-variable linear equation is a linear equation that has 2 variables and the exponent is one

Can be stated in the form:

$\large {\boxed {\bold {ax + bx = c}}}$

x, y = variable

Let Maggie's age = x

Maggie's brother = y,

In the statement of the task:

Maggie's brother is 3 years younger than twice her age

we translate this sentence into the equation

y = 2x-3 ... equation 1

The sum of their ages is 24

we translate this sentence into the equation

x + y = 24 ...equation 2

Both of these equations are equations that have 2 variables, so the solution can be used in 3 ways:

1. graph system

the solution is the intersection point of the two equations / lines.

2. substitution

the solution is we change one variable into another variable form of an equation, then substitutes that variable in another equation

3. elimination

the solution is to eliminate one variable from the equation system.

to determine the variable x we eliminate the variable y first, or vice versa.

We use the second method: substitution

we substitute equation 1 into equation 2 :

$\displaystyle x+2x-3=24$

$\displaystyle 3x-3=24$

$\displaystyle 3x=27$

$\displaystyle x=9$

So Maggie's age: $\large{\boxed{\bold{9}}$

Learn more

each of their ages

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Three times b less than 100

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6 = 4x + 9y solve for y

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Keywords: variable, equation, substitution, elimination, graph, Maggie's age

Select the proper placement for parentheses to speed up the addition for the expression 2+9+8+1

Answers

Answer:

(8+2) and (9+1) is the most fastest adding pair.

Step-by-step explanation:

It is easy to add zero digit number here it will be

We can club the two number or we can club two pair so as to form 10 in each of the pair

It will be (8+2) which gives 10

And (9+1) which gives 10

And it will very easy and fast to add 10 + 10

Rather than any other pair.

2+9+8+1 = (2+8) + (9+1) = 10 + 10 = 20

What is the inverse of the function f(x) = 1/4x - 12?

Answers

Hello,

1) if the equation is
y=1/4 * x-12 then x=1/4 y-12==>1/4y=x+12==>y=x/4+3

2) if the equation is
y=1/(4x-12) then x=1/(4y-12)==>4y-12=1/x==>4y=1/x+12==>y=1/(4x)+3

What is 12x4.6 explained and evaluated

Answers

Sure, let's break it down:

1. Take the whole number part (12) and multiply it by 4.6, which equals 55.2.
2. Next, take the decimal part (0.6) and multiply it by 12. 0.6 multiplied by 12 equals 7.2.
3. Add the results from step 1 and step 2 to get the final answer.

So, 12 multiplied by 4.6 is evaluated as 55.2 + 7.2, which equals 62.4.

The space shuttle was launched at 6:45 a.m. on Tuesday morning. It was in space for 6 days, 2 hours, and 16 minutes. At what time did the space shuttle land?

Answers

Answer:

The space shuttle landed on Monday morning at 9:01 a.m.

I hope this helps.

3.242424 as a mixed number

Answers

Answer:

3 8/33

Step-by-step explanation:

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The figure has been decomposed into three rectangles as shown. A figure is decomposed into 3 rectangles. The rectangles are 4 inches by 2 inches, 6.5 inches by 2 inches, and 4 inches by 1.5 inches. Find the area of each piece of the composite figure. The area of the top rectangle is A = 4 in.(2 in.) = 8 in2. The area of the middle rectangle is A = 2 in.( in.) = in2. The area of the bottom rectangle is A = 4 in.( in.) = in2. The total area of the figure is in2.

120 books increased by 55%

5x+3y=17 solve for y

Estimate the difference between 412.02 and 513.87 to the nearest whole number