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
Answer:

Step-by-step explanation:
y=mx+b
m = slope
b = y-intercept
Answer:
m∠1 + 32 = 90 Substitute 32 for m∠2.
m∠1 = 58 Subtract 32 from each side.
m∠1 + m∠ 2 = 90 Definition of complementary angles
Step-by-step explanation:
<h2>if I'm wrong I'm sorry</h2>
Answer:
Exact form:
x = 4/5
Decimal Form:
x = 0.8
Step-by-step explanation:
Basically you are finding the volume of a rectangular prism of 3 by 2 meters cross section and 30 meters length. Volume = (3 m)(2 m)(30 m) = 180 cubic meters.
If 60% of the water has evaporated, 40% is left. Find 40% of 180 cubic meters to answer the 2nd part of this question.