Let x = one of the legs.
Then, the other leg = x + 3.
Ed will use the Pythagorean Theorem to find the hypotenuse.
So, let a = x one leg. Let b= x + 3 the other leg. And, let c = 15 the hypotenuse.
The Pythagorean Theorem is:
c^2 = a^2 + b^2, where a and b are the legs and c is the hypotenuse.
We have:
15^2 = x^2 + (x + 3)^2
225 = x^2 + x^2 + 6x + 9
Rearranging:
2x^2 + 6x - 216 = 0
Divide by 2:
x^2 + 3x - 108 = 0
Solve by factoring:
(x - 9)(x + 12) = 0
So, x = 9 and x = -12. (x = -12 is not a valid answer.)
x = 9
x + 3 = 12
Conclusion: The legs of the right triangle are 9 inches and 12 inches.
Eddie-G…
Answer:
A) 2x^2+5x+1
Step-by-step explanation:
7x^2-6+4x+7-5x^2+x
7x^2-5x^2+4x+x-6+7
2x^2+5x-6+7
2x^2+5x+1
Answer:
See below
Step-by-step explanation:
You order the hundreds digits, then the tens, and finally the ones.
a. 213, 290, 871, 899
b. 213, 291, 871, 899
c. 91, 312, 871, 899
d. 123, 190, 871, 899
Answer:
32 60 68
Step-by-step explanation:
These set of numbers are pythagorean triplets
using the formula a2+b2 =c2 with these numbers would give you an accurate relationship in a right angled triangle
Answer:
B) 16 ft, 10.5 in
Step-by-step explanation:
There are a few different ways you can work this. Since we want to know the difference between length and heigh of the model and we are given skull length of the model, it makes a certain amount of sense to find the corresponding measurements of the actual skeleton.
The actual skeleton's length was 40 ft and its height was 13 ft, so the difference between these dimensions is ...
40 ft - 13 ft = 27 ft
The actual skull is 5 ft long, so the difference is ...
(27 ft)/(5 ft) = 5.4
times the length of the skull.
The same ratio will apply to the model, so the difference between the model height and model length is 5.4 times the length of the model skull:
desired difference = 5.4 × 3 ft 1.5 in = 16.2 ft + 8.1 in
= 16 ft 10.5 in
