Let, one leg be x units.
since the other leg is 9.0 units shorter than the other,
the measure of the other leg =x-9
hypotenuse =13.0 units
According to Pythagorean theorem, the square of the hypotenuse is equal to the sum of squares of the other two sides.
x^2 +(x-9)^2 =13^2
x^2 + x^2 -18x +81 = 169
2x^2-18x-88=0
Divide the whole equation by 2
x^2 - 9x -44 =0
Let's use the quadratic formula to find the roots.
formula: x= [-b ± sqrt(b^2-4*a*c)]/2*a
a=1 b=-9 c=-44
x= [9±sqrt(81+176)]/2
=[9±sqrt(257)]/2
=[9±16.03]/2
=25.03/2 or -7.03/2
length of a triangle cannot be negative,
Therefore, x=25.03/2 =12.52
one leg =12.5 units
other leg =12.52-9 =3.5 units
Answer:
5x5 16x6 8x18
Step-by-step explanation:
Answer:
the answer is 1y>19
Step-by-step explanation:
i didn't study this at school yet
Answer:
cos 90°
Step-by-step explanation:
(cos 60°)(cos 30°) − (sin 60°)(sin 30°)
= cos ( 60° + 30°)
= cos 90°
To find how much she can run in one minute we’re going to divide 800 by 5, to which we get 160.
She runs 160 meters in one minute.
We want to know how many meters she can run in 9 minutes.
160 * 9 = 1,440
She can run 1,440 meters in 9 minutes.