9514 1404 393
Answer:
(b) Hiking 10 feet due north, then hiking 10 feet due south
Step-by-step explanation:
Any pair of numbers that totals zero will be a pair of opposites. The offered choices are ...
+6 -4 = 2 . . . not zero
+10 -10 = 0
+2 -3 = -1 . . . not zero
+5 -3 = 2 . . . not zero
Hiking 10 feet due north, then hiking 10 feet due south is a situation involving opposite numbers adding up to zero.
Answer:
The change in the area of the rectangle is 0 square feet
Step-by-step explanation:
To solve this problem we have to calculate the area of the two rectangles that give us
first we have to know the formula to calculate the area of a rectangle
a = area
l = length = 12ft
w = width = 5ft
a = l * w
we replace the known walues
a = 12ft * 5ft
a = 60ft²
we do the same with the other rectangle, but first we have to calculate its sides
w = 5ft - (5ft * 20/100)
w = 5ft - 1ft
w = 4ft
l = 12ft + (12ft * 25/100)
l = 12ft + 3ft
l = 15ft
a2 = 15ft * 4ft
a2 = 60ft²
to calculate the change in the area we subtract (a - a2)
a - a2 =
60ft² - 60ft² = 0ft²
Answer:
14/11
Step-by-step explanation:
A rational number times a rational number is rational
A rational number is written as a/b
14/11 * 1/2 = 7/11
This is rational
Answer:
51/12
as a mixed number
4 1/4
Step-by-step explanation:
first you add 8 to 4 which is 12
so the improper fraction would be 51/12
how to turn it in to a mixed number in simplest form
step 1 - Find Whole Number
Calculate out how many times the denominator goes into the numerator. To do that, divide 51 by 12 and keep only what is to the left of the decimal point:
51 / 12 = 4.2500 = 4
Step 2 - Find New Numerator
Multiply the answer from Step 1 by the denominator and deduct that from the original numerator.
51 - (12 x 4) = 3
Step 3 - Put Together
Keep the original denominator and use the answers from Step 1 and Step 2 to get this:
4
3
12
Step 4 - Minimize
Minimize the fraction part from Step 3 by dividing the numerator and denominator by 3, which is the greatest common factor, to get the final answer. 51/12 as a Mixed Number is:
4
1
4
2/5g=3/5
multiply both sides by the reciprocal of 2/5
g=(3/5) (5/2)
g=3/2
