Answer:
The equation that can be used to represent the proportional relationship between the amount of blue yarn, b, and red yarn, r, that Colleen uses when knitting a scarf is:
or
Step-by-step explanation:
In the exercise are given the variables that we must use in the equation: b and r, where b is the amount of blue yarn and r is the amount of the red yarn, now it's just missing the proportion that must be used in the equation, to identify this you only must divide the biggest amount (45) by the smallest amount (18), how I show below:
- Proportion = 45/18 = 2.5 or 5/2
Having this, you can make the equation taking into account the proportion:
This equation marks that by each piece of blue yarn, are needed 2.5 pieces of red yarn, we can prove the equation replacing the r-value by 18:
- b = 2.5 r
- b = 2.5 (18)
- b = 45
<u><em>How you can see, replacing the r-value by 18, the value given for red yarn, we obtain the value given for the blue yarn: 45</em></u>.
The perimeter is the sum of all sides. Start by listing out what the sides are given to be. Assign a variable to anything unknown.
1st side = x
2nd side = y
3rd side = z
Given: 1st side is 5 less than 2nd side.
x = y - 5
Given: 3rd side is 2 less that 1st side. But we want everything in only one variable to solve. So use the first given 1st side = y - 5
z = y - 5 - 2
z = y - 7
Sum of sides
(y - 5) + y + ( y - 7) = 42
3y - 12 = 42
3y = 42 + 12
3y = 54
y = 54/3
y = 18
Remember the sides, We have
1st, x = y - 5
= 18 - 5
= 13
2nd, y = y
= 18
3rd, z = y - 7
= 18 - 7
= 11
49 * 120 = 5880
5880 / 49pi = 377
Answer:
x= -3
Step-by-step explanation:
9x+3= -24
9x = -27
x=-3
Answer:
1) Parallel lines are "ALWAYS"
coplanar.
2) Perpendicular lines ARE "ALWAYS"
coplanar.
3) Distance around an unmarked circle CAN "NEVER" be measured
Step-by-step explanation:
1) Coplanar means lines that lie in the same plane. Now, for a line to be parallel to another line, it must lie in the same plane as the other line otherwise it is no longer a parallel line. Thus, parallel lines are always Coplanar.
2) similar to point 1 above, perpendicular lines are Coplanar. This is because perpendicular lines intersect each other at right angles and it means they must exist in the same plane for that to happen. Thus, they are always Coplanar.
3) to have the distance, we need to have the circle marked out. Because it is from the marked out circle that we can measure radius, diameter and find other distances around the circle. Thus, distance around an unmarked circle can never be measured.