Two shapes.. a circle and a rectangle. The width of the rectangle serves as the diameter of the circle.
Length = 140 m ; Width = 68 m
Circumference of a circle = 2 π r circumference of a cirlce = 2 * 3.14 * (68m/2) = 2 * 3.14 * 34 m = 213.52
length = 2 * 140 m = 280 m
perimeter of the oval = 213.52 m + 280 m = 493.52 m
Answer:
D
Step-by-step explanation:
= 
= 
and
= 
= 
= 
Hence expression D is equivalent
For this case we must factor 
of the following expression:
By law of signs of multiplication it is fulfilled that:
So we have to:
Thus, by factoring we have:
Answer:
The greatest common factor of these three numbers is 4.
In order to find this, we start with factors of the smallest number (12). The factors are listed below.
12, 6, 4, 3, 2, 1
Now we start with the biggest and work our way down until we find something that goes into all 3.
12 does not go in evenly to either 44 or 28, so we can't use that.
6 does not go in evenly to either 44 or 28, so we can't use that.
4 goes in evenly to both as seen below:
44/4 = 11
28/4 = 7
Therefore, 4 is the greatest common factor.
Answer:
Explanation
The capacity of the shelter is a constant. It is 80 people × 14 days.
That is an inverse relation: the product of the number of people and the number of days will be always the same.
As the number of people decreases the number of days that the food lasts increases, in a proportion such that the product of the days and the number of people is the same.
Thus, for 32 people the number of days the food lasts is x, such that:
- 32 people × x = 80 people × 14 days
Solving for x:
- x = 80 people × 14 days / 32 people
The food will last 35 days.
