The sides of a triangle are in the ratio 3 : 4 : 5. What is the length of each side if the perimeter of the triangle is 90 cm?

Answers

Answer 1

Answer: what we can do is set up an algebraic equation.

our variable can me L for Length

3L+4L+5L=90

now all we have to do is solve

12L=90
---- ----
12 12

L=7.5

now multiple each number in the ratio by 7.5 to find out how long each side is

3 times 7.5 is 22.5
4 times 7.5 is 30
5 times 7.5 is 37.5

the side lengths are 22.5, 30, and 37.5

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Variable g is 5 more than variable w. Variable g is also 2 less than w. Which pair of equations best models the relationship between g and w?g = w + 5
g = w − 2

g = w − 5
g = w + 2

w = 5g
w = g − 2

w = 5g
w = g + 2

Answers

Your answer is the first choice, g = w + 5 & g = w − 2, because if variable g is 5 MORE THAN variable w, that would mean you would have to add 5 to w in order to get g, (g = w + 5), but if it said it was 5 TIMES MORE THAN, THHHHEEEENNNNN that would mean w times 5.
Now da second problem is g = w - 2, because they said that g is 2 LESS THAN w, so you would have to subtract 2 from w to get g, also known as g = w - 2.
I hope I helped! =D

g=w+5
g=w-2
This confused me at first as well, but just try and make a picture in your mind, anyway, if you add 5 to W, then it is equal to g because "Variable g is 5 more than variable w"
If you subtract 2 from w it is equal to g because Variable g is also 2 less than w."

How do I find the Greatest Common Factor of 14m², 27a³, and 45a²?

Answers

Exactly the way you do it with numbers:

-- List all the factors of the first one.
-- List all the factors of the second one.
-- List all the factors of the third one.

-- Make a short list, consisting of the factors that appear
on all three lists. Those are the 'common' factors.

-- The greatest item on the short list is the greatest common factor.

14m², 27a³, and 45a² don't have any common factor except ' 1 '.
Since ' 1 ' is their only common factor, it's also their greatest one.

If AB = 4x +10, BC = 2x +3 and AC= 9x - 15 find AC. and show work plzz !!!!

Answers

Answer:

Step-by-step explanation:

AB + BC = AC

4x + 10 + 2x + 3 = 9x - 15

6x + 13 = 9x - 15

6x + 13 + 15 = 9x

6x + 28 = 9x

3x = 28

x = 9 1/3 = 28/3

AC = 9 * 28/3 - 15

AC = 3 * 28 - 15

AC = 84 - 15

AC = 69

Toothpicks are used to make a grid that is 60 toothpicks long and 32 toothpicks wide. How man toothpicks are used altogether?

Answers

Finding how many toothpicks were used altogether is the same process as finding the area, so we have to multiply 32 by 60 which equals 1920. So the final answer is 1920

Final answer:

To find the total number of toothpicks used in the grid, calculate the perimeter of the grid by adding the lengths of all its sides. In this case, the perimeter is 184 toothpicks.

Explanation:

To find the total number of toothpicks used in the grid, we need to calculate the perimeter of the grid. The perimeter of a rectangle is found by adding the lengths of all its sides. In this case, we have a grid that is 60 toothpicks long and 32 toothpicks wide. So, the perimeter is (60 + 32 + 60 + 32) = 184. Therefore, a total of 184 toothpicks are used altogether.

Learn more about Toothpicks here:

brainly.com/question/15762455

#SPJ12

Yesterday, Julie’s bank account balance was –$10.28. She deposited some money into her account so that her balance is now $39.89.How much did she deposit into her account?

A.$50.17

B.$39.00

C.$29.72

D.$10.00

Answers

Since we're starting with a negative we're going to disregard the negative sign and add the numbers together: $10.28 + $39.89 = $50.17. :)

39.89 - ( -10.28 )
The reason you subtract is because the key word is depositied

All angles are right angles or a triangle has 4 sides.a. Conjunction
b. Disjunction
c. Negation
d. Conditional

Answers

You know it's not a negation since nothing is being negated.

You know it's not a conditional because neither statement is reliant on the other to be true or false.

So, the answer must be a or b.

A conjunction implies there is an and which there is not. The solution then must be b. Disjunction, and it is indeed since disjunctions are the "or" statements of logic.

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