In order to do this, you have to use the Pythagorean Theorem which is a^2 +b^2=c^2 It does not matter in what order a and b are, but c is always the hypotenuse or the side across from the right angle. First, you substitute 24 in for a and 45 in for b so your equation so far would look like 24^2 + 45^2 = c^2 Then, you square 24 and 45 and get 576+2025=c^2 Then you add the two to get 2601=c^2 Finally, you would square root both sides and get 51=c So the width of the recycling bin is 51 inches long
Answer:
The answer would be ( A gallon of water per minute)
Step-by-step explanation:
Answer:
C. 60 ft
Step-by-step explanation:
If triangles ABC and EDC are in a 1:1 relation, they are congruent, and
AC = EC
5x - 5 = 3x + 9
5x = 3x + 14
2x = 14
x = 7
AC = 5x + 5 = 5(7) - 5 = 35 - 5 = 30 ft
EC = 3x + 9 = 3(7) + 9 = 21 + 9 = 30 ft
Distance between top and bottom of bridge = AC + EC = 30 + 30 = 60 ft
Hi there!
We are given the equation w² + 7w + 12 = 0, and we are told to solve it. Well, we can first take all the factors of 12 -
1 12
2 6
3 4
Now, take the sum of each factor pair -
1, 12 = 13
2, 6 = 8
3, 4 = 7
Find which factor pair adds up to 7, and we can see that 3 and 4 add up to seven, while also having a product of 12. Therefore, since the whole equation has addition signs, we can factor the equation w² + 7w + 12 into (w + 3)(w + 4) = 0. Next, using the Zero Product Property, we can set each term to zero.
w + 3 = 0
w = -3
w + 4 = 0
w = -4
Therefore, the solution to the equation w² + 7w + 12 = 0 is w = -3, -4. Hope this helped and have a great day!
