6/10, 9/15,12/20,15/25
Those are all equal to 3/5.
Hope this helps and hope you have a great day
<span>You are given circle R that has a radius of 6 inches. And then you are given points S, T, and U that lie on circle R, clockwise in alphabetical order. Also you are given m∠TRS = 98°and you are asked to find the m∠TUS. To solve this, you have to draw the circle first.
Draw a circle with R being a point at the center of it. Then place the points S, T and U around the circle. So that would mean any point, S, T and U that connects on R would have a value of 6 inches. Also, these are your radius.
You also know that m</span>∠TRS = 98°. You know that the circle, if you will base your angle from the center or its interior angle is just equal to 360°. To get the m∠TUS, subtract 360 to 98.
360° - 98° = 262°
therefore, m∠TUS is 262°
Let s represent the length of any one side of the original square. The longer side of the resulting rectangle is s + 9 and the shorter side s - 2.
The area of this rectangle is (s+9)(s-2) = 60 in^2.
This is a quadratic equation and can be solved using various methods. Let's rewrite this equation in standard form: s^2 + 7s - 18 = 60, or:
s^2 + 7s - 78 = 0. This factors as follows: (s+13)(s-6)=0, so that s = -13 and s= 6. Discard s = -13, since the side length cannot be negative. Then s = 6, and the area of the original square was 36 in^2.
Answer:
2.32 gallons of paint
Step-by-step explanation:
First, find the area of all 4 sides of the room, with the equation A = lw
11(10)
= 110 (for 2 of the walls)
18(10)
= 180 (for the other 2 walls)
Add these up:
110 + 110 + 180 + 180
= 580
Then, divide this by 250:
580/250
= 2.32
So, 2.32 gallons of paint will be needed to paint the room.
