Ok first find out what it will cost after the 30% discount
18*.30=
$5.40 discount
$18.00-$5.40=
$12.60
Now lets figure out the sales tax
$12.60*.06=
76 cents
total price including tax is $13.36
To solve this problem, you can make a proportion:
3/900 = x/2100
In this case, the x represents the pounds that will be needed to cover 2,100 feet.
The first step is to cross multiply like this:
3 * 2100 = 900 * x
Now you can simply the equation.
6300 = 900x
Now you divide both sides by 900 to cancel it out.
7 = x
So, your answer is 7 pounds.
Answer:
Step-by-step explanation:
A) The diagram of the triangle is shown in the attached photo
The lengths of the given triangle form a Pythagoras triple. This means that the square of the longest side equals the sum of the squares of the two shorter sides.
Area = 1/2 × base × height
Height = 3 cm
Base = 4 cm
Area = 1/2 × 3 × 4 = 6 cm²
B) The altitudes can be AB or BC. Therefore, the length of the shortest altitude is AB = 3 cm
The diagonal is the same as the hypotenuse which is also the longest side of the triangle. Thus,
Length of diagonal = 5 cm
Answer:
C. is your answer
Step-by-step explanation:
Answer:
Option C. (2x+3)(6x – 5) is the correct answer.
Step-by-step explanation:
Given polynomial(trinomial) is:

The given trinomial is quadratic. Factorization will be as follows:
Multiplying the co-efficient of x^2 and the constant results in 180. We have to make factors of 180 in such a way that their sum of difference is equal to the co-efficient of x.
The required factors are 18 and 10
So,

Hence,
Option C. (2x+3)(6x – 5) is the correct answer.