Answer: 24 cm
Step-by-step explanation:
Mrs Lopez cut 46cm of yarn.
Miss Hamilton then cut 22cm less than what Mrs Lopez had cut.
Mrs. Hamilton must have therefore cut:
This is a case of subtraction:
= 46 - 22
= 24 cm
UW and VW are the same so 9
22.5-4.5= 18 then divide the 18 by 2 so 9
2/3+4/9
denominator= 3*9=27
numerator = (18+12)= 30
therefore the answer is 30/27= 10/9
Answer:
a=2.48
c=9.52
Step-by-step explanation:
a+c=12
4a+7.5c=72.5 Given
a+c=12
-4a-7.5c=-72.5 multiply the equation by negative 1
-3a-6.5c=-60.5 simplify
-3a=-60.5+6.5c add 6.5c to both sides
a=-20.17+2.17c divide it by 3
now you would take that equation and plug it into an equation you already have since you have something to plug in for a, the easiest one to do is a+c=12
(-20.17+2.17c)+c=12 plug in the equation
-20.17+3.17c=12 simplify by solving for c
3.17c=30.17 add 20.17 to both sides
c=9.52 divide both sides by 3.17
now since you have found c, you can plug it in to you equation to solve for a now (use the ones from the second step). I am using the equation a+c=12.
a+9.52=12 plug in the variable and solve for a
a=2.48 subtract 9.52 to both sides
a=2.48
c=9.52
Answer:
The lengths of all three sides (in feet) are = 15, 14, and 18 feet
Step-by-step explanation:
Perimeter of Triangle = 47ft
Let the one side be 'x'
<em>Side 1 = x</em>
One side of the triangle is one foot longer than the second side
<em>Side 2 = x - 1</em>
<em>The third side is four feet longer than the second side</em>
<em>Side 3 = (x - 1) + 4</em>
<em />
<em>Perimeter = sum of all sides</em>
<em>47 = x + (x - 1) + (x - 1) + 4</em>
<em>47 = x + x - 1 + x - 1 + 4</em>
<em>47 = 3x + 2</em>
<em>47 - 2 = 3x</em>
45 = 3x
<u>x = 15</u>
substitute for x in each of the sides
<em>Side 1 = x => </em><em>15 feet</em>
<em>Side 2 = x - 1 => 15 - 1 = </em><em>14 feet</em>
<em>Side 3 = (x - 1) + 4 => 14 + 4 = </em><em>18 feet</em>
