Answer:
The length of diagonal TU is 102 units
Step-by-step explanation:
Mathematically, the diagonals of a parallelogram bisect each other
This means that the lengths on either of the either of the sides are equal
Mathematically, we have it that;
7x + 2 = 6x + 9
7x - 6x = 9-2
x = 7
The diagonal TU has the measure of ;
(7x + 2) + (6x + 9)
7x + 6x + 2 + 9
= 13x + 11
substituting the value of x, we have
13(7) + 11
= 102
we know that
An inequality for the statement
more than the product of 
and a number x is less than 
is equal to
<u>Find the solution set for X</u>
therefore
the answer is
the solution is the interval--------> (-∞,
)
Old price: p1 = $ 3.90;
New price: p2 = $ 3.40.
The percentual decrease is given by
d(%) = [ (p2 - p1) / p1 ] * 100 %
d(%) = [ (3.40 - 3.90) / 3.90 ] * 100 %
d(%) = [ - 0.50 / 3.90 ] * 100 %
d(%) = - 0.128 * 100 %
d(%) = - 12.8 % (approximately)
So the price fell 12.8 % approximately.
I hope this helps. =)
Answer:
16 inches
Step-by-step explanation:
The tile is rectangular, so the other 2 sides have lengths 2in and 6in.
The perimeter is 2in + 6in + 2in + 6in = 16in
Answer:
V = 
π(8 - 
)
= 9.11 
r = 4
h =
Step-by-step explanation:
Given that the right triangle whose hypotenuse is 
- Let r is the radius of the cone
- Let h is the height of the cone
We know that:
<=> 
The volume of the cone is:
V = π
<=> V = π
Differentiate w.r.t h
= π (8 - 
)
For maximum/minimum: = 0
<=> π (8 - ) = 0
<=> 
=
<=> h =
=> 
= 
<=> r = 4
So the volume of the cone is:
V = π(8 - ) = 9.11
