Answer:
Given - Two angles measures 2x and 3x
To find - size of 3x
Solution -
2x + 3x = 360° ( Make reflex angle )
5x = 360°
x = 360/5
x = 72°
3x = 3 * 72 = 216°
We can divide that up into two rectangles, say the bottom one 8 feet wide and 2 feet high. That leaves 5.5 by 6-2=4 feet for the other.
Cost = price × area = 2.25(8×2 + 5.5×4) = $85.50
Answer: $85.50
Answer:
n = 9.2
Step-by-step explanation:
Isolate the variable by dividing each side by the numbers that do not contain the variable
Answer:
3^-5 or 1/3^5(b)
Step-by-step explanation:
3⁴•3^-9
When bases are same powers are to be added
So the above expression becomes
3^4+(-9)
3^4-9
3^-5
Answer:
(2, 1)
Step-by-step explanation:
The best way to do this to avoid tedious fractions is to use the addition method (sometimes called the elimination method). We will work to eliminate one of the variables. Since the y values are smaller, let's work to get rid of those. That means we have to have a positive and a negative of the same number so they cancel each other out. We have a 2y and a 3y. The LCM of those numbers is 6, so we will multiply the first equation by a 3 and the second one by a 2. BUT they have to cancel out, so one of those multipliers will have to be negative. I made the 2 negative. Multiplying in the 3 and the -2:
3(-9x + 2y = -16)--> -27x + 6y = -48
-2(19x + 3y = 41)--> -38x - 6y = -82
Now you can see that the 6y and the -6y cancel each other out, leaving us to do the addition of what's left:
-65x = -130 so
x = 2
Now we will go back to either one of the original equations and sub in a 2 for x to solve for y:
19(2) + 3y = 41 so
38 + 3y = 41 and
3y = 3. Therefore,
y = 1
The solution set then is (2, 1)
