Answer:
7.722 cm^2
Step-by-step explanation:
Step 1: Find the area of the square.
- Area of square = s^2, where s = side
- 6^2 = 36 cm^2
Step 2: Find the area of the circle.
- We are given the diameter of the circle as 6 cm, so the radius must be 3 cm.
- Area of circle is
, so now we plug in and simplify. 
Step 3: Subtract area of circle from area of square.
Therefore, the area of the shaded region is 7.722 cm^2.
Have a lovely rest of your day/night, and good luck with your assignments! ♡
A net of a triangular prism looks like this
Answer is √35 (square root of 35)
Reason: square root of 35 (which is = 5.9160797831.....) which is a non-terminating decimal, which means it is irrational.
An irrational number is any real number that cannot be expressed as a simple fraction or terminating decimals. There are many answers to this question.
Answer:
3/4 gallons of juice
Step-by-step explanation:
Katie bought 2 one-gallon bottles for a party.
2 one-gallon bottles = 2-gallon bottles of juice
We are told that:
Her guest drank 5/4 gallons of juice.
The fraction of juice leftover is calculated as:
2 gallons of juice - 5/4 gallons of juice
2 - 5/4
Lowest Common Denominator = 4
2/1 - 5/4
= 8 - 5/4
= 3/4 gallons of juice
Therefore, the fraction of juice leftover is 3/4 gallons of juice
The diagonal fencing will be the hypotenuse of a right triangle with sides 120yds long so:
h=√2(120^2))
h=√28800 yd
And the surrounding fencing will just be four times the side length of 120yds so:
s=480yd
So the total fencing needed is:
f=480+√28800 yards
f≈649.71 yd (to nearest hundredth of a yard) which is
f≈650 yds (to nearest whole yard)
But, I wasn't sure, if they just want the diagonal fencing needed then it is just:
f=√28800
f≈170 yds (to nearest yard)
