Answer:
82 inches
Step-by-step explanation:
The difference between consecutive even integers is 2, thus
let the legs be n and n + 2
Using Pythagoras' identity in the right triangle
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
n² + (n + 2)² = 58² ← expand and simplify left side
n² + n² + 4n + 4 = 3364 ( subtract 3364 from both sides )
2n² + 4n - 3360 = 0 ( divide all terms by 2 )
n² + 2n - 1680 = 0 ← in standard form
(n + 42)(n - 40) = 0 ← in factored form
Equate each factor to zero and solve for n
n + 42 = 0 ⇒ n = - 42
n - 40 = 0 ⇒ n = 40
But n > 0 ⇒ n = 40
and n + 2 = 40 + 2 = 42
Thus sum of legs = 40 + 42 = 82 inches
bisector. Base. In geometry, the base of a shape is the side (usually the bottom) that forms a right (90 degree) angle with the height of the object. Biannual.
<span>They use 9 blocks each, a total of 18 blocks.
Bill: 4b + 2
Ron: 8b - 5
To look for the value of b; I assume that both used the same number of blocks.
4b + 2 = 8b - 5
4b - 8b = -5 -2
-4b = -7
-4b/-4 = -7/-4
b = 1.75</span>
Bill: 4b + 2 where b = 1.75 ; then, 4(1.75) + 2 = 7 + 2 = 9
<span>Ron: 8b - 5 where b = 1.75; then, 8(1.75) -5 = 14 - 5 = 9</span>
You are going to use the cos trig function as you have the adjacent side and the hypotenuse.
Cos^-1(12/13)=angle x
22.62
Answer:
Rational form:
399/100 = 3 + 99/100
Continued fraction:
[3; 1, 99]
Possible closed forms:
399/100 = 3.99
log(54)≈3.988984
8/(3 π) + π≈3.9904190
1/2 (e! + 1 + e)≈3.989551
-(sqrt(3) - 3) π≈3.983379
(14 π)/11≈3.9983906
25/(2 π)≈3.978873
(81 π)/64≈3.976078
(2 e^2)/(1 + e)≈3.974446
(π π! + 2 + π + π^2)/(3 π)≈3.988765
2 π - log(4) - 3 log(π) + 2 tan^(-1)(π)≈3.987955
2 - 1/(3 π) + (2 π)/3≈3.988291
Step-by-step explanation:
