MATHEMATICS MIDDLE SCHOOL

Could 8.8 cm, 8.0 cm and 8.8 cm be the side lengths of a triangle?Choose 1 answer:


(Choice A)


Yes


(Choice B)


No

Answers

Answer 1
Answer:

Answer:

yes it is possible to have a triangle with 8.8 cm, 8.0 cm and 8.8 cm.

Step-by-step explanation:

Condition on sides of triangle:

  • The triangle inequality states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
  • It is not possible to have sum to be less than the length of the third side.
  • A triangle with three given positive side lengths exists if and only if those side lengths satisfy the given condition
  • Let a, b and c be three sides of triangle.

a + b > c\na+c>b\nb+c>a

Here, we are given that a = 8.8 cm, b = 8.0 cm, c = 8.8 cm

We check for the triangular inequality:

1.~8.8 + 8.0 > 8.8\n16.8>8.8\n2.~8.8+8.8>8.0\n17.6>8.0\n3.~8.0+8.8>8.8\n16.8>8.8

Thus, yes it is possible to have a triangle with given measurements.

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Tell how you know when you have found the prime factorization of a number

Answers

When you come to a number that you can't divide any more
When you end up with prime numbers for example
If you factored out 12 you could say 3x4. Now 3 is a prime number so it cant be broken down any more. You can break down 4 into 2x2. 2 is a prime number so cant be broken down any further. When 12 is factored out it is 2x2x3

If f(x) = 6x-4, what is f(x) when x = 8?
a) 2
b) 16
c) 44
d) 52

Answers

Answer:

C

Step-by-step explanation:

f(x) = 6x-4

And for x = 8

f(x) = 6(8) - 4

f(x) = 48 - 4

f(x) = 44

Answer:

Step-by-step explanation:

f(8) = 6(8)-4 =48-4=44

Compare the values of the 2s and 5s in 55,220

Answers

Step-by-step explanation:

Since we have given that

Value of 2s in 55,220

As we have seen that there are two 2 s , one is in hundreds position and other is in tens .

Value of 2 which is in hundreds position = 200

Value of 2 which is in tens position = 20

On Comparing , we get the difference given by

200-20= 180

Similarly,

There are two 5s , one is in thousands position and other is in thousands.

Value of 5 which is in  thousands position = 50000

Value of 5 which is in hundreds position = 5000

On comparing , we get the difference is given by

50000-5000=45000

How many possible remainders are there when dividing any number by 1? 2? 3? 15?

Answers

by 1 - 0
by 2 - 1
by 3 - 2
by 15 - 14
etc.
1 = 0
2 = 1
3 = 2
5 = 4

It would continue in this pattern

A rectangular shoebox has a volume of 728 cubic inches. The base of the shoebox measures 8 inches by 6.5 inches. How long is the shoe box?

Answers

Divide the volume by the two measures. 728 ÷ 8 = 91 ÷ 6.5 = 14 so, the shoe box is we inches long.

Jenn will use 18 connecting cubes to make a model of a park. The model will be in the shape of a rectangle and will have a height of one cube. In how many different ways can Jenn make the model of the park?

Answers

This question is basically: how many different pairs of numbers multiply up to 18?

(This is a simpler form of the question because the question is just asking how many shapes of a rectangle can Jenn create with 18 blocks)

So, the numbers that multiply up to 18 are:

1 x 18
2 x 9
3 x 6

So, the answer is: Jenn can make the model of the park in 3 different ways.
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