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igor_vitrenko [27]
3 years ago
13

If 2 sides of a triangle are 6 and 16, what is the range of the possible lengths of the third side?

Mathematics
1 answer:
Leno4ka [110]3 years ago
6 0

Answer:

between 10 and 22

Step-by-step explanation:

A side of a triangle must measure between the difference of the lengths of the other two sides and the sum of the lengths of the other two sides.

Difference: 16 - 6 = 10

Sum: 6 + 16 = 22

Answer: between 10 and 22

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You have 12 cups of granola and 8 1/2 cups of peanuts to make trail mix. What is the greatest number of full batches of trail mi
nikitadnepr [17]
Hello! Sorry that I'm late. Okay, so each batch calls for 2 2/3 cups of granola and 1 1/3 cups of peanuts. Let's divide the number of cups available total by the amount per batch. To divide fractions, keep the first fraction the same, change division into multiplication, and flip the other faction over. Let's do it. 12/1 * 3/8 = 36/8 or 4 1/2 in mixed number form. 17/2 * 3/4 = 51/8 or 6 3/8 in simplest form. You can only make 4 full batches of trail mix, because you can only use the full serving of both granola AND peanuts for 4 of them.
8 0
3 years ago
You estimate that there are 45 marbles in a jar. The actual amount is 82 marbles. Find the percent error. Round to the nearest t
Nataly_w [17]

Answer:

45.1

Step-by-step explanation:

The original amount is 82

But the wrong amount is 45

So we will have to calculate the percentage for the error

82-45

37

So %error= 37/82 ×100

=3700/82

=45.121~45.1( to nearest tenth)

So the final answer is 45.1%

6 0
3 years ago
Below you will find Mitch West's monthly statement and his check register. Use them to complete parts a-e in his checking accoun
sukhopar [10]

A bank reconciliation is done to check whether the cash balance maintained in the ledger accounts matches with the balance of the bank statement.

If the two balances do not match after reconciliation , it means there may be some errors in recording or mishandling of cash.

After reconciliation the ending balance of the given question must be

$ 2549.29.

Checking Account Summary

a) Ending Balance from the Statement           $ 2368.9

b) Add Deposits Outstanding                         $ 300.00

<u>c) </u><u> Total of Checks Outstanding                      </u><u>($ 119.00)</u>

d) Revised Statement Balance                        $ 2549.29

e) Balance from checkbook                              $ 2549.29

The Deposit Outstanding can be found by matching the monthly statement and the check register.

The amount $300 deposit is shown in the check register but not in the monthly cash statement.

Therefore it is added to the ending balance of the statement to arrive at the balance of the check register.

The Checks Outstanding can be found from the Check register.

The checks of the Motor Vehicles and the Pasta Pete's are shown in the first column and subtracted in the last column, which means these are still outstanding.

The total of these checks outstanding is  ($86.5+ 32.5=) $119.00

brainly.com/question/15525383

5 0
2 years ago
Read 2 more answers
The sets of numbers 3, 4, 5 and 8, 15, 17 are Pythagorean triples. Use what you know about the Pythagorean Theorem and explain o
konstantin123 [22]

Answer:

When we have 3 numbers, like:

a, b and c.

Such that:

a < b < c.

These numbers are a Pythagorean triplet if the sum of the squares of the two smaller numbers, is equal to the square of the larger number:

a^2 + b^2 = c^2

This is equivalent to the Pythagorean Theorem, where the sum of the squares of the cathetus is equal to the hypotenuse squared.

Now that we know this, we can check if the given sets are Pythagorean triples.

1)  3, 4, 5

Here we must have that:

3^2 + 4^2 = 5^2

solving the left side we get:

3^2 + 4^2 = 9 + 16 = 25

and the right side:

5^2 = 25

Then we have the same in both sides, this means that these are Pythagorean triples.

2) 8, 15, 17

We must have that:

8^2 + 15^2 = 17^2

Solving the left side we have:

8^2 + 15^2 = 64 + 225 = 289

And in the right side we have:

17^2 = 17*17 = 289

So again, we have the same result in both sides, which means that these numbers are Pythagorean triples

4 0
2 years ago
A student was required to multiply a number by 4 and add 6 to it. Instead he added 6 to it first and then multiplied by 4. What
GalinKa [24]

Answer:

The correct answer is 18

the correct expression is (4n+6)

Step-by-step explanation:

let the number be n

therefore  if he is required to multiply n by 4 and added to 6 we have

(4n+6)= 0-----1

given that he did otherwise by adding 6 to n and multiply by 4 we have

(n+6)4= 36------2

Firstly we need to solve for n in equation 2

4n+24= 36\\4n= 36-24\\4n= 12\\

Dividing both sides by 4 we have

n= \frac{12}{4\\}\\n= 3

In order to solve for the correct answer let us input n=3 in equation 1 we have

=(4n+6)= 0-------1\\=(4*3+6)= 0\\=(12+6)=0\\= 18

7 0
3 years ago
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