Answer:
Slope =y2−y1x2−x10−3105−12−31092−310⋅1092⋅10−345−115
Step-by-step explanation:
Slope =y2−y1x2−x10−3105−12−31092−310⋅1092⋅10−345−115
Answer:
Part 1) Helen will need 38 feet of fencing
Part 2) The perimeter around the three sides of the rectangular section of the garden is 27 feet
Part 3) The approximate distance around half of the circle is 11 feet
Step-by-step explanation:
Part 1) How much fencing will Helen need?
Find out the perimeter
we know that
The perimeter of the figure is equal to the sum of three sides of the rectangular section plus the circumference of a semicircle
so

we have

substitute


therefore
Helen will need 38 feet of fencing
Part 2) What is the perimeter around the three sides of the rectangular section of the garden?

we have

substitute


therefore
The perimeter around the three sides of the rectangular section of the garden is 27 feet
Part 3) What is the approximate distance around half of the circle?
Find the circumference of semicircle

we have

substitute


therefore
The approximate distance around half of the circle is 11 feet
Miss Sarah will need the same amount as Mr. Tom if she divides 1/16 by 2 and get 1/8. So they will have the same amount of cheese as the other person does
Answer:
.
Step-by-step explanation:
Start by separating this decimal number into its integer part and its fraction part:

The most challenging task here is to express
as a proper fraction. Once that fraction is found, expressing the original number
will be as simple as rewriting a mixed number as an improper fraction.
Let
.
would then represent the original number.
Note that the repeating digits appear in groups of two. Therefore, if the digits in
are shifted to the left by two places, the repeating part will continue to match:
.
Note, that this "shifting" is as simple as multiplying the initial number by
(same as
raised to the power of the number of digits that needs to be shifted.)
Subtract the original number from the shifted number to eliminate the fraction part completely:
.
In other words:
.
.
Therefore, the original number would be:
.