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
The answer is y<x+4,y≥-3x-2
Answer: Minimum for $150: 2 Hours
Step-by-step explanation: First, Tiffany charges $30 per additional child. If she babysits for 4 children, you do 30 x 4, which is equal to 120. That would be the cost for the children. Now, if she charges $15 PER HOUR, then you just add up $15 + $15, which is $30, and you add that $30 to the $120. Which is $150. There you have it. If this is wrong, correct me please!
Answer:
Step-by-step explanation:
Let the area of water is w and area of land is l.
<u>Their ratio is:</u>
or
Find the value of l
- l = 133*3/7
- l = 57 million square miles
Answer:
4
Step-by-step explanation:
First off, integers are Whole Numbers (1,2,3,4, etc), so we are rounding the answer to the nearest whole number.
The square root of lets just say 25 means you are finding a number that multiplied by itself will equal 25 (the answer is 5).
Now for 13, there is no perfect square, however the closest whole number that multiplied by itself to 13 is 4.
4*4= 16
3*3=9
5*5=25
As you can see above 4 is the closest number to 13.
Now, the ACTUAL value of the square root of 13 is 3.60555128, but we are rounding up to the nearest whole number which is 4 :)
