Answer:
Solve the rational equation by combining expressions and isolating the variable
<h2>
x
=
ln
(
t
−
√
t
^2
+
4 )/2</h2><h2>
x
=
ln
(
t
+√
t
^2
+
4 )/2</h2>
S=d/t so in this case it's 75/12 which is 6.25. Round it and you got 6 miles per hour.
Answer:
12 feet
Step-by-step explanation:
As a ladder is leaning against a house, it forms right angle triangle. And for right angleΔ, we use Pythagoras theorem.i.e
P²+B²= H²
Where,
'P' is perpendicular i.e the distance from the top of the ladder to the ground
'B' is base i.e be the distance from the bottom of the ladder to the house
'H' is hypotenuse i.e 13
considering 'x' as perpendicular
So, base would be 'x-7'
Applying Pythagoras theorem,
x² + (x-7)²= 13²
x² +x² -14x +49 =169
2x² -14x -120= 0
x² -7x -60=0 ----> solving the quadratic equation
x² + 5x -12x-60=0
x(x+5) -12(x+5)=0
Either : x+5=0 => x=-5
OR: x-12=0 => x=12
We'll choose the positive length.
therefore , The distance from the bottom of the ladder to the house is 12 feet
Answer:
30 basketballs
Step-by-step explanation:
one layer would be 3 x 2 = 6
- to find how much you would need to cover the bottom of the locker, you would use the numbers 3 and 2, then multiply them and you get 6. You would need 6 basketballs to cover the bottom of the locker. That would be your first layer
5 layers would be 6 x 5 = 30
- So the bottom would be filled with 6 basketballs. Now since the locker is 5 feet high multiply 6 x 5 and that would get you your total of basketballs
X=7 over 8 or 0.875 is the answer
