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____ [38]
2 years ago
10

18. A triangle has side lengths of 6, 8, and 9. What type of triangle is it?

Mathematics
1 answer:
NikAS [45]2 years ago
3 0

Answer:

obtuse                    

aniuhafjhnfajfnha

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Choose all that give the correct expression for the quantity described. The difference of nine times a number x and the quotient
ohaa [14]

Step-by-step explanation:

We are to get the expression for the following statements;

1) The difference of nine times a number x and the quotient of that number and 5.

The product of nine and a number x is expressed as;

=9 \times x\\= 9x

The quotient of that number and 5.

= \frac{x}{5}

The difference between both expression;

9x - \frac{x}{5}

Hence, the difference of nine times a number x and the quotient of that number and 5 is expressed as 9x - \frac{x}{5}

2) Eight more than the quotient of twelve and a number n

Quotient of twelve and a number n is expressed as:

\frac{n}{12}

Eight more than the resulting function is;

\frac{n}{12}+8

Hence eight more than the quotient of twelve and a number n is expressed as \frac{n}{12}+8

3) The product of a number and the quantity 'six minus the number' plus the quotient of eight and the number.

Let the number be x:

six minus the number is expressed as;

6-x

product of a number x and the quantity 'six minus the number is;

x(6-x)

quotient of eight and the number is;

\frac{8}{x}

Taking the resulting sum of the last two expression

x(6-x) + 8x

Hence the product of a number and the quantity 'six minus the number' plus the quotient of eight and the number is expressed as;

x(6-x) + 8x

4) Sum of three consecutive even integers. 2x + (2x + 2) + (2x + 4).

Let the first even number be 2x

The consecutive even numbers are gotten by adding 2 to the preceding number. The two consecutive even integers are 2x+2 and 2x+2+2

the sum of three consecutive even integers is expressed as;

= 2x +(2x+2)+(2x+2+2)\\=  2x+(2x+2)+(2x+4)

4 0
3 years ago
The table shows the average weight of animals. How many more tons does a blue whale weigh than an African elephant? Explain how
AVprozaik [17]

Answer:

The African elephant weighs <u>111.5 tons</u> less than a blue whale.

Step-by-step explanation:

Given:

Animal                         Weight(pounds)

African Elephant            15,000

Blue Whale                   238,000

Now, to find the weight of how more tons does a blue whale weigh than an African elephant.

As given, 1 ton = 2,000 pounds.

So, to convert the weight from pound to tons by dividing:

African elephant =15000\div 2000=7.5\ tons.

Blue whale =238000\div 2000=119\ tons.

Now, to get the weight of how more tons is blue whale weigh than an African elephant we subtract:

Blue\ whale - African\ elephant

=119 tons-7.5tons

=111.5\ tons

Therefore, the African elephant weighs 111.5 tons less than a blue whale.

8 0
2 years ago
the ratio of the number of womens shoes to the number of mens shoes in a shoe store is 12:7. What fraction of the shoes are mens
stira [4]

7/19 are the fraction of men's shoes

explanation + example:

Use the total number as the denominator: 6 + 8 = 14

Use each of the ratio terms as the numerator in a fraction:

6 becomes 6/14

8 becomes 8/14

Reduce each fraction to lowest terms:

6/14 simplifies to 3/7

8/14 simplifies to 4/7

The part-to-part ratio 6 : 8 converts into the fractions:

6/14 = 3/7

8/14 = 4/7

4 0
3 years ago
Read 2 more answers
Write the standard equation of the circle: x^2 +2x + y^2 =55 +10y
lidiya [134]

x^2 +2x + y^2 =55 +10y\\(x+1)^2+(y-5)^2=81

7 0
2 years ago
Explain when the median of a data set is a better<br> measure of center than the mean.
Delvig [45]

Answer:

The median of a data set is better when you have a term or terms that are not close to the other terms

Step-by-step explanation:

For example:

Say you have the data set

1, 15, 17, 18, 22, 84

The median of these terms would be 17.5

       (it is the exact center of the data group)

17 + 18 = 35

35/2 = 17.5

The mean of these terms would be 26.17  

    (this number is not close to the center because the numbers 1 and 84

      are not close enough to the other terms)

1 + 15 + 17 + 18 + 22 + 84 = 157

157/6 = 26.17

7 0
2 years ago
Read 2 more answers
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