Answer:
Ok so this concept is kind of hard to explain, but basically the two equations are equal because you are adding 9/4 and then subtracting 9/4, so you just end up with 0. The reason you do that is so you can make the (x + 3/2)^2 part, which you wouldn't be able to do without the 9/4/
Answer:
<em><u>If </u></em><em><u>the </u></em><em><u>perimeter</u></em><em><u> </u></em><em><u>=</u></em><em><u> </u></em><em><u>3</u></em><em><u>0</u></em><em><u>0</u></em><em><u>m</u></em>
<em><u>let </u></em><em><u>the </u></em><em><u>ratio </u></em><em><u>be </u></em><em><u>in </u></em><em><u> </u></em><em><u>x </u></em>
<em><u>a/</u></em><em><u>q</u></em><em><u>. </u></em>
<em><u>3</u></em><em><u>x</u></em><em><u> </u></em><em><u>+</u></em><em><u> </u></em><em><u>5</u></em><em><u>x</u></em><em><u> </u></em><em><u>+</u></em><em><u> </u></em><em><u>7</u></em><em><u>x</u></em><em><u>. </u></em><em><u>=</u></em><em><u> </u></em><em><u>3</u></em><em><u>0</u></em><em><u>0</u></em><em><u>m</u></em>
<em><u>1</u></em><em><u>5</u></em><em><u>x</u></em><em><u> </u></em><em><u>=</u></em><em><u> </u></em><em><u>3</u></em><em><u>0</u></em><em><u>0</u></em>
<em><u>x </u></em><em><u>=</u></em><em><u> </u></em><em><u>3</u></em><em><u>0</u></em><em><u>0</u></em><em><u>/</u></em><em><u>1</u></em><em><u>5</u></em>
<em><u>x </u></em><em><u>=</u></em><em><u> </u></em><em><u>2</u></em><em><u>0</u></em>
<em><u>hence</u></em><em><u> </u></em><em><u>angles </u></em><em><u>are </u></em>
<em><u>6</u></em><em><u>0</u></em><em><u> </u></em><em><u>,</u></em><em><u> </u></em><em><u>1</u></em><em><u>0</u></em><em><u>0</u></em><em><u> </u></em><em><u>and </u></em><em><u>1</u></em><em><u>4</u></em><em><u>0</u></em>
<em><u>hope</u></em><em><u> it</u></em><em><u> helps</u></em>
Answer:
14.8
Step-by-step explanation:
20*0.74 (decimal version of the percentage)
Bob need to paint 205 square feet.
Solution:
Length of the door = 7 ft
Breadth of the door = 5 ft
Area of the door = length × breadth
= 7 × 5
= 35
Area of the door = 35 ft²
The given image is a trapezoid.
Top base = 12 ft
Bottom base = 20 ft
Area of the trapezoid = 
= 240
Area of the trapezoid = 240 ft²
Surface area to paint = Area of the trapezoid – Area of the door
= 240 ft² – 35 ft²
= 205 ft²
Hence Bob need to paint 205 square feet.
Step-by-step explanation:
a.
Let's give the starting amount of water as s. Every minute, 2 inches of water are lost, meaning that given the starting amount, s, we subtract 2 inches from s every minute, so s - 2 every minute = height of water left, so s - 2t (t representing minutes) = h
To figure out s, we simply plug our known value -- 9 minutes in and 11 inches left. s - 2(9) = 11, s-18=11, s= 29
29 - 2t = h
b. We know that we cannot have negative minutes, so the minimum amount of time that makes sense is 0. To figure out the maximum, we stop counting how much time has occurred when there is no water left, so we have to figure out when h = 0
29-2t = h = 0
t=14.5
Therefore, anything between 0 and 14.5 minutes makes sense
c. Anything between 0 and 29 makes sense because the height of water cannot be negative and we cannot get higher than the starting amount
