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zheka24 [161]
3 years ago
15

Mr Ferguson reads 1/10 of a book to his class each day what fraction of the book has mr Ferguson read to the class after 5 days

Mathematics
1 answer:
Karo-lina-s [1.5K]3 years ago
3 0
5/10 or 1/2. If he reads 1/10 each day, you can multiply the numerator by 5, for the five days. You get 5/10, which can be simplified to 1/2.
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A polygon is regular if each of its sides has the same length. Find the perimeter of the regular polygon.
OleMash [197]

Answer: 6units

Step-by-step explanation:

Since it is a regular polygon, and it has 3 equal sides it means the polygon is a quadrilateral.

From the diagram,

5 - 2x = -4x + 9 ( side of quadrilateral )

Solving for x in the equation

-2x + 4x = 9 - 5 ( collection of like terms in simple linear equation )

2x = 4

Divide through by the coefficient of x which is 2

x = 2.

Therefore, the perimeter of the polygon which equals to the total length of the polygon is

Perimeter = 2 + 2 + 2

= 6units

7 0
3 years ago
If the lengths of two sides of a right triangle are $5$ and $12$ units, what is the least possible length, in units, of the thir
Goryan [66]

The length of the third side of the tringle must lie in between 7 and 7 i.e length of the third side will always be greater than 7 and smaller than 17 according to the properties of a triangle.

According to the given question.

We have a right angled triangle with the two side lengths 5 unit and 12 unit.

From the properties of a triangle we know that " the sum of the length of the two sides of a triangle is greater than the length of the third side". Or " the difference between the two sides of a triangle is less than the length of the third side".

Let the third side of the triangle be x units.

So, by the properties of a triangle we can say that

12 - 5 < x

⇒ 7 < x

And 12 + 5 > x

⇒ 17 > x

Therefore, the length of the third side of the tringle must lie in between 7 and 7 i.e length of the third side will always be greater than 7 and smaller than 17.

Find out more information about properties of a triangle here:

brainly.com/question/27711437

#SPJ4

7 0
1 year ago
ACE248 your the best!!!!!
dedylja [7]

Answer:

Its D. d

Step-by-step explanation:

I believe someone else said this same thing but I'll explain it a bit differently and more in-depth.

There is this common formula that's used a lot, it's r*t=d, rate * time = distance. In this formula, we see that distance is represented as d, so we can assume that in this scenario, the distance will also be represented by d.

When doing math, you're going to wanna make the variables simple and understandable, say you're doing a coin problem with nickels and dimes, you're going to wanna label your variables for nickels "n" and your variables for dimes "d" just so you don't get confused.

Now if you have another problem like this, you don't even have to ask brainly, you can just make an educated guess like this.

5 0
2 years ago
What number must you add to complete the square?<br> x2 + 8x = 11
notsponge [240]

Answer:

16

Step-by-step explanation:

The number to add on both sides to complete the square is the square of the numerical coefficient that accompanies the term in "x", divided by 2.

That is in our case: (\frac{8}{2}) ^2 = 4^2=16

Therefore:

x^2+8x+16=11+16\\x^2+8x+16 = 27

That way the left hand side of the equation becomes the perfect square of the binomial: (x+4).

You can also prove that such is correct by developing the square of the binomial:

(x+4)^{2} = (x+4)(x+4)= x^2+4x+4x+16= x^2+8x+16

8 0
3 years ago
A carton contains 40 books. The number of paperbacks is 5 less than twice the number of hardbacks. How many hardbacks are in the
Helga [31]
Just solve the equation 2x-5
7 0
3 years ago
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