Answer:
260 gallons of lemonade
Step-by-step explanation:
Step one:
given data
We are told that Jada made 316 gallons of lemonade.
and later served 56gallons of the lemonade
Required
The remaining Lemonade
Step two
We have the total lemonade as 316
and the deducted as 56
the balance will be
= 316-56
=260 gallons of lemonade
Multiply 50 by 0.90 because you take a discount of 10% off. 1.00 = 100% 0.10 = 10% 0.01 = 1% if you multiply 50 by 0.10 instead you get the amount that is discounted instead of the new selling price.
Answer:
14.13 ft²
Step-by-step explanation:
The area of a semicircle is
We were given the radius of the semicircle to be: r=3 feet.
We were also asked to use π as 3.14.
We substitute into the formula to get:
This is the same as:
Or
The area of the semicircle is 14.13 ft²
We can use tan(x) = sin(x)/cos(x). Plug in numbers to get:
tan(x+pi/2) = sin(x+pi/2)/cos(x+pi/2)
Here, you can use the sin and cos addition identity:
tan(x+pi/2) = (sin(x)cos(pi/2)+cos(x)sin(pi/2))/(cos(x)cos(pi/2)+sin(x)sin(pi/2))
If you simplify this, you get:
0+cos(x)/0-sin(x)
Which is the definition of cot(x). But, we can't forget about the '-' sign, so, the answer is -cot(x)
Factor using the difference of squares.
a^2-b^2 = (a+b)(a-b)
100n^2-1
(10n+1)(10n-1)
Final answer: (10n+1)(10n-1)
