Answer:
Step-by-step explanation:
For this exercise you must remember that the original figure (before a transformation) is called "Pre-Image" and the one obtained after the transformation is called "Image".
Dilation is defined as a transformation in which the Image and the Pre-Image have the same shape, but different sizes.
If a figure is dilated by a scale factor "k" with respect to the origin, the rule is:
→ 
In this case, the vertices of the triangle JKL (the Pre-Image) are:
Knowing that the scale factor is:
You get that the vertices of the triangle J'K'L' (Image), are:
There are 46 dollars left in the bank account
<h3>
Answer:</h3>
The Area of the tray ≈380 cm
<h3>
Solution:</h3>
- We are given the diameter of the tray, which is equivalent to 22 cm.
- We are asked to find the area of the tray.
- Remember the formula:
- Area of a circle = πr²
- Where
- π -> pi (3.14...)
- r -> radius
- Notice that we aren't given the radius. We're given the diameter only.
- No reason to panic. We can easily find the radius by dividing the diameter by 2.
- The radius is equal to 11 cm.
- Now, plug the values into the formula:
- A=π(11)²
- A=121π
- A≈380 cm
Hope it helps.
Do comment if you have any query.
Answer:
The profit = $(3x - 75) where x = number of t-shirts sold
Step-by-step explanation:
School spirit club wants to raise money by selling t-shirts. one local company charges a fixed fee of $75 for creating the design and $5 for each shirt that they print.
We have to find the club's income if they sell each t-shirt for $8.
Let the number of t-shirts that the club sell be equal to x.
So the cost of making x t-shirts = 75 + 5x
If the club sells x t-shirts , then the money they earn = 8x
Profit = selling price - cost price
= 8x - (75 + 5x)
= $(3x - 75)
The club also needs to sell at least 25 t-shirts to make a profit and from then on makes a profit of $3 on each t-shirt they sell.
Answer:
108 rooms
Step-by-step explanation:
Robin can clean 72 rooms in 666 days
means in 666 days rooms that can be clean is 72 rooms
in 1 days rooms that can be clean is 72/666 rooms
in 999 days rooms can be clean is 999\times 72\div 666
after solving we get 108 answer
