The degree and direction of rotation that takes ΔQRS to ΔQ'R'S' is:
45 degrees; anticlockwise direction.
<h3>What is rotation in math?</h3>
The transformation by rotation refers to the movement of a shape or point in a circular path about a fixed point.
When the shape moves in an anticlockwise direction, it means that It is going in the opposite way as the hands of a clock do.
Learn more about rotation in math:
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The correct answer is A) y = -3x - 1
In order to find this, start by using the two points on the line to find the slope.
m(slope) = (y2 - y1)/(x2 - x1)
m = (-4 - 2)/(1 - -1)
m = -6/2
m = -3
Since A is the only one with a -3 slope, this is the correct answer.
Answer:
a) Profit = 84000
b) at break even number of pens sold = 46
Step-by-step explanation:
Profit = Selling price - Cost price
Total revenue generated = 99 * 1000
Total revenue generated = 99000
Total cost on making the pen = 11 * 1000
Total cost on making the pen = 11000
Total cost including the initial cost = 11000 + 4000
Total cost including the initial cost = 15000
Profit = 99000 - 15000
Profit = 84000
Break even is when the cost are equal to Revenue thus no profit or loss
Revenue = total cost (break even)
9x = 1x + 4000
9x - x = 4000
8x = 4000
x = 500
At breakeven Revenue = 9 * 500
At breakeven Revenue = 4500
since one pen is sold at 99 therefore at break even number of pens sold = 4500/99 = 45.45( to 2 decimal place)
at break even number of pens sold = 46
Step-by-step explanation:
Let Bridget, Jim and Krutika's shares be 4x, 5x and x respectively.
According to the given information:
4x = x + 39
4x - x = 39
3x = 39
x = 39/3
x = 13
5x = 5*13 = 65
Hence, Jim got 65 sweets.
Answer:
Blue Ballon = 16
Yellow Ballon = 23
Green Ballon = 26
Red Ballon = 32
Total puffs = 1000
23y + 16(2y) + 32y + 26(y/2) = 1000
23y + 32y + 32y + 13y = 1000
100y = 1000
y = 1000/10
y = 10
Therefore, russell
filled 10 yellow balloons.