Answer:
![90cm^2](https://tex.z-dn.net/?f=90cm%5E2)
Step-by-step explanation:
The side length AB of triangle ABC corresponds to side length of PQ of triangle PQR.
The scale factor from ABC to PQR is ![k=\frac{6}{4}=1.5](https://tex.z-dn.net/?f=k%3D%5Cfrac%7B6%7D%7B4%7D%3D1.5)
The area of triangle PQR will change by
centimeters square.
Since we know the area of triangle ABC to be
, the area of triangle PQR ![=2.25\times 40=90cm^2](https://tex.z-dn.net/?f=%3D2.25%5Ctimes%2040%3D90cm%5E2)
Answer:
135 ft^2
Step-by-step explanation:
50% more than 10 feet is 15 feet; 50% more than 6 feet is 9 feet.
Thus, the area of the new rectangle is 15 times 9 feet squared, or 135 ft^2.
3x^2- 27 … you divide the whole thing by 3 to get x^2- 9 and that’s the furthest you can simplify
Answer:
30 red marbles
Step-by-step explanation:
If the ratio is 2 red marbles for every 5 blue marbles then you would add them together to find out how many marbles are in one group.
2+5=7
There are 7 marbles in each group.
Now we have to find out how many total groups there are by dividing the total amount of marbles by the amount in each group.
105÷7=15
There are 15 groups of 7 marbles.
Looking back at the ratio, we know that the 15 groups each have 2 red marbles and 5 blue marbles. So if there is 2 red marbles 15 times (2 marbles in 15 groups) we would multiply.
2×15=30
There are 30 red marbles.
I hope that makes sense.
answer
<u>600</u>
Step-by-step explanation:
Step 1: If 82% of a number is 492, then what is 100% of that number? Setup the equation.
492/82%=Y/100%
Step 2: Solve for Y
Using cross multiplication of two fractions, we get
82Y = 492 x 100
82Y = 49200
Y=49200100=<u>600</u>