Let width of rectangle be "x"
L= 3x W=x
if width is diminished by 1 that means new width = (x-1)
similarly the new length would be (3x+3)
hence (x-1)*(3x+3)=72
(3x^2)-3=72
3x^2=75
x^2=25
x= +/- 5
reject -5 as you cant have negative length
hence x=5
so original dimensions of rectangle is
L= 15m W=5m
Answer:
There are two answers, firstly 1*125. Then, factoring 125 as a product of primes, you get 5^3. The only two numbers you can get out of 5^3 other than 125 are 5^1 = 5 and 5^2 = 25. So there's your other answer: 5*25.
Answer:
43°
Step-by-step explanation:
In a isosceles triangle, two angles HAVE to be equal.
This means that 94 can be one of the angles that are equal, or the angle that is not equal to another angle.
Let's start with the fact that 94 can be one of the angles that are equal. (Note: angles in a triangle add up to 180)
94+94+x=180
188+x=180
There is NOT a possible value for x in this situation, as you cannot have a negative value of an angle. Therefore we must try the other situation where 94 is the angle that is not equal to another angle.
x+x+94=180
2x+94=180
Subtract 94 from both sides
2x=86
Divide both sides by 2
x=43
Therefore the answer is 43°
Answer:
In the picture I send above shows the step by step how to get the answers. Cheers!
Answer:
The answer to your question is:
x = 1
y = 1
z = 0
Step-by-step explanation:
-2x + 2y + 3z = 0 (1)
-2x - y + z = -3 (2)
2x + 3y + 3z = 5 (3)
Solve (1) and (2)
Multiply 2 by 2
-2x + 2y + 3z = 0
-4x -2y + 2z = -6
-6x + 5 z = -6 (4)
Solve (2) and (3)
Multiply 2 by 3
-6x - 3y + 3z = -9
2x + 3y + 3z = 5
-4x + 6z = -4 (5)
Solve (4) and (5)
Multiply (4) by 2 and (5) by -3
-12x + 10 z = -12
12x - 18z = 12
-6z = 0
z = 0
Then
-4x + 6(0) = -4
-4x = -4
x = -4/-4
x = 1
Finally
-2(1) - y + (0) = -3
-2 - y = -3
-y = -3 + 2
y = 1
