Answer:
<h2>1. V = 100 in³</h2><h2>2. h = 10 in</h2>
Step-by-step explanation:
The formula of a volume of a cylinder:
<em>B</em><em> - base area</em>
<em>h</em><em> - height</em>
<em />
1. We have
<em>h = 5in, B = 20 in²</em>.
Substitute:
2. We have
<em>B = 20.7 in², V = 207 in³</em>.
Substitute:
<em>divide both sides by 20.7</em>
Answer: so you need to subtract your fractions
Step-by-step explanation: 7/8-5/6=1/24 or 0.042 as a decimal
how to do this is just simplify your answer. I suggest using mathhelper its an amazing app and can show you how to work out problems. I hope i have helped!
Answer:
108 degrees
Step-by-step explanation:
Let x be the length of one side of the smaller square
Let y be the length of one side of the larger square
4x would be the perimeter of the smaller square, as it has 4 sides
Therefore 4x = y + 10, as the perimeter of the smaller square is 10 inches bigger than one side of the larger square.
We're going to solve this question using simultaneous equations. This means we need another equation to compare the first one to.
Since we know that one side of the larger square is 2 inches bigger than the first one, we can make the equation
y = x + 2
Know that we know the value of y in terms of x, we can introduce this value to the original equation to find:
4x = (x + 2) + 10
Therefore:
4x = x + 12
3x = 12
x = 4
Now that we know the size of the sides on the smaller square, we can figure out the size of the larger square by using our second equation (y = x + 2)
y = 4 + 2
y = 6
Therefore, the length of each side of the larger square is<u> B.6</u>
Answer: 22 attendees can attend the corporate team-building event, with a budget of $46.
1. 8 = 4x
2. 8/4 = 4x/4
3. x = 2, each ticket would cost $2 per attendee
4. $46/$2 = 23
