Answers:
length of rope = 2 meters
perimeter of meadow = 12.56 square meters
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Explanation:
Assuming there are no structures (buildings, fences, etc) to get in the way of the goat, this means the goat's area that it can roam is a circle with radius r
The area of the circle is pi*r^2 which is equal to 12.56 square meters
pi*r^2 = 12.56
3.14*r^2 = 12.56
r^2 = 4
r = sqrt(4)
r = 2
The radius of the circle is 2 meters. This is the length of the rope. If the goat goes out as far as it can go, and tries to move left/right, then it will trace out a circle of radius 2. This is assuming the rope is kept fully taut the entire time.
The perimeter of the circle is the same as the circumference
circumference = 2*pi*r
circumference = 2*pi*2
circumference = 4*pi
circumference = 4*3.14
circumference = 12.56
The circumference and area are the same because r^2 = 4 and 2*r = 4 when r = 2. For any other positive r value, the area and circumference will be different values.
So in short, if a friend says that the area of a circle is the same as its perimeter, then you can immediately conclude the radius is 2.
Side note: throughout all of this solution, I used the approximation pi = 3.14 though pi has more decimal digits
Josiah would need 10 gallons to travel 265 miles.
First we divide 79.5 by 3 to find out how many gallons are needed for one mile.
79.5/3=26.5
For one mile we need 26.5 gallons of gas.
Now we will divide 265 by 26.5 to find the answer to the problem.
265/26.5=10
Josiah will need 10 gallons of gas to travel 265 miles
Answer:
43.8 km to the nearest tenth.
Step-by-step explanation:
5 miles is 8 km
so 1 mile = 8/5 km
and 27.4 miles = 27.4 * 8/5
= 43.84 km
Answer:
65 cm
Step-by-step explanation:
A= 1/2 bh
A= 1/2 (13 cm) (4 cm)
A= 65 cm
Answer:
Lets say test tubes = t, and beakers = b
1 pack of (t) is $4 less than 1 pack of (b)
Since i have no prior information we are going to use variables for this equation:
1t (1 pack of test tubes) is $4 less than 1b (1 set of beakers)
so to quantify the equation, we have 8t and 12b.
if b is a number that IS quantifiable such as $5 we can easily figure out this answer.
Lets use and example that 1 set of beakers is $8, if we multiply $8 by 12 (the number of sets of beakers), we get: 96
Using the same example, if 1t is $4 less than 1b than 1t = $4. So, if we multiply $4 by 8 (the amount of packs of test tubes), we get: 32
If you take both of those numbers: 96, and 32 and you divide them you get 3. so that means that 1t = 3b
Answer = 1t = 3b
This may not be correct due to the little information that i got however i hope that, that works out for you :)
