Answer:
26
Step-by-step explanation:
Use the Pythagorean Theorem: 
Answer:
one solution : x = -1
Step-by-step explanation:
look this solution :
Answer:
The independent is the 90 gallons and the dependent is the 8 minutes.
Hope this helps!
Step-by-step explanation:
First, you would start with finding the center of the trapezoid. You would multiply 1.6 by 2.4, leaving you with 3.84 sq ft for the center. Then, you subtract 1.6 from 3.2 because you want to find the area of the triangles. You would get 1.6. That means there is a triangle with a base of 1.6 feet and a height of 2.4 feet. The formula for calculating the area of a triangle is base times height divided by 2, and in this case it is 1.6 times 2.4 divided by 2. You would get 1.92, and to find the total amount of ft sq, you would add 1.92 and 3.84 to get 5.76 feet squared(don't forget to label!).
Answer:
1.) x = 14.96ft
2.) The shorter leg is 6 meters
Step-by-step explanation:
1.) a^2 + b^2 = c^2
- a and b = legs of the triangle
- c = hypotenuse the longest side
15ft^2 + x^2 = (2x +1)^2
- 225 = 2x^2 + 1 - x^2
- 225 = x^2 + 1
- 225 - 1 = x^2 +1 - 1
- √224 = √x^2
- x = 14.9662...
2.) Longer leg a = x+2, shorter leg b = x, Hyp. c= 2x-2
Equation:
Solve:
- (x+2)(x+2) + x^2 = (2x-2)(2x-2)
- x^2 + 4x + 4 + x^2 = 4x^2 - 8x +4
- 2x^2 + 4x + 4 = 4x^2 - 8x +4
- 2x^2 + 4x + 4 - 4x^2 +8x - 4 = 4x^2 - 4x^2 - 8x + 8x + 4 - 4
- -2x^2 + 12x = 0
- 2x (-x + 6) = 0
Answers:
- 2x = 0
- -x + 6 = 0
- <u>x=0 -or- x=6</u>
<u>Since x cannot equal 0 due to the known length of the triangle needs to be more than 0 the answer for x equals 0.</u>
<u>B=6</u>
Check:
- A = x + 2: A= 6 +2 = 8
- B= 6
- C = 2x -2: C= 2(6) -2 = 10
8^2 + 6^2 = 10^2
