Answer:
Original price= $3,200
Step-by-step explanation:
Giving the following information:
Purchase price= $2,816
Discount rate= 12% = 0.12
<u>To calculate the original price, we need to use the following formula:</u>
Original price= purchase price / (1 - discount rate)
Original price= 2,816 / 0.88
Original price= $3,200
Answer: 2.11cm
Step-by-step explanation:
Given the following :
The lengths of the parallel sides are (2z + 3) cm and (6z – 1) cm
The area of trapezoid is calculated using the formula:
1/2(a + b) × h
Where ;
a = Length of side 1
b = length of side 2
h = height
Take a = (2z + 3) and b = (6z – 1), h = z
Therefore ;
1/2 (2z + 3 + 6z - 1) × z
Opening the bracket
(z + 1.5 + 3z - 0.5) × z
(4z + 1 ) × z = 20cm^2
4z^2 + z = 20cm^2
Using Quadratic formula:
4z^2 + z - 20 = 0
a = 4, b = 1, c = - 20
(-b±√b^2 -4ac) / 2a
Z = 2.11 or - 2.364
z cannot be negative, therefore,
Z = 2.11 cm
The angle vertical to it is DF
Answer:
Step-by-step explanation:
x^2 + 1 -2x + 5
x^2 - 2x + 6
Answer:
Step-by-step explanation:
3/8 miles long, 1/48 miles per hour
3/8 and 1/48 can have a common denominator, so you make 3/8 into 18/48 by multiplying both the numerator and denmoinator by 6.
18/48 miles long
1/48 per hour
divide: 18/48 divided by 1/48, which turns into 18/48 x 48/1 which equals 18
18 hours