The first step in solving a problem is illustrating it just as what the picture shows. The ladder represents the hypotenuse, or the longest side of the right triangle. It measures 14 feet. The base measures 6 feet. The height of the top of the ladder from the base of the wall is denoted as x. Since this is a right triangle, the special equations for Pythagorean theorems would apply. The equation is
c^2 = a^2 + b^2, where c is the hypotenuse, a and b are the other shorter legs. Substituting the values,
14^2 = 6^2 + x^2
x^2 = 14^2 - 6^2
x^2 = 160
x = 4√10 = 12.65 feet
Answer:
Step-by-step explanation:
a) increase
Increase = 200 -130 = 70
Percent increase = (70/130)*100 = 70*100/130 = 7*100/13
= 700/13
= 53.85%
Answer:
x=
13
/14
Step-by-step explanation:
Let's solve your equation step-by-step.
5x−5
x−2
=
1
3
Step 1: Cross-multiply.
5x−5
x−2
=
1
3
(5x−5)*(3)=1*(x−2)
15x−15=x−2
Step 2: Subtract x from both sides.
15x−15−x=x−2−x
14x−15=−2
Step 3: Add 15 to both sides.
14x−15+15=−2+15
14x=13
Step 4: Divide both sides by 14.
14x
14
=
13
14
x=
13
14
If the hypotenuse is 58cm, and one of the others legs is 42cm the answer would be 40cm
Explanation:
Here you have to use the formula
Then you have to pose the formula in terms of one of the legs, so:
So when you change the letter for numbers you have that:
a=40