We don't know which side your triangle is sitting on, so the 'height'
could be any one of three values.
Here are the two simple tools that tell you everything you want to
know about a 30°-60°-90° triangle. These are worth memorizing:
-- The side opposite the 30° angle is 1/2 of the hypotenuse.
-- The side opposite the 60° angle is 1/2 of the hypotenuse times √3 .
I memorized them exactly 60 years ago. They've been very useful,
and as far as I know, they haven't changed.
a = 30
a = 16
-a² + 46a -480 = 0
(-a + 30) (a -16) = 0
(-a)(a) + (-a)(-16) + 30(a) + 30(-16) = 0
-a² + 16a + 30a -480 = 0
-a² + 46a - 480 = 0
(-a + 30) = 0 ; (a - 16) = 0
-a = -30 ; a = 16
a = 30
To check:
a = 30
-(30)² + 46(30) - 480 = 0
-900 + 1380 - 480 = 0
480 - 480 = 0
0 = 0
a = 16
-(16)² + 46(16) - 480 = 0
-256 + 736 - 480 = 0
480 - 480 = 0
0 = 0
Answer:
Option A.
Step-by-step explanation:
Area of a square is
.... (1)
where, x is side length.
The length of each side of his square plot is decreasing at the constant rate of 2 feet/year.
It is given that bob currently owns 250,000 square feet of land.
Fist find the length of each side.
Taking square root on both sides.
Differentiate with respect to t.
Substitute x=500 and 
in the above equation.
Farmer bob is losing 2,000 square feet of land per year.
Therefore, the correct option is A.
Answer:
0.292
Step-by-step explanation:
Combinations can be used to solve the following problem.
We are choosing 5 widgets from 25 = ²⁵C₅
We want to select zero widgets from defective widgets = ⁵C₀
From the 20 non-defective widgets we want to select 5 = ²⁰C₅
So the probability is:
P = ( ⁵C₀ * ²⁰C₅) / ²⁰C₅
P = (1 * 15504) / 53130
= 15504/ 53130
=0.292 ..
To answer this, let the 3 sides of the regular sized rectangular box be x, y, and z.
When we double all the sides, the new sides have lengths 2x, 2y, and 2z, respectively.
Since the regular box (with dimensions x,y, and z) have 750 toothpicks, we can write
Similarly we can write for the jumbo box as,
which is equal to 
So this is 8 times the original of 
. Hence the jumbo box will have 8 times 750 number of toothpicks.
ANSWER: 
toothpicks
