Answer:
D 30 square units
Step-by-step explanation:
count all the squares inside the triangle including the non full squares
This is easy, all you need to do is divide 48/2.5 and you have your answer.
Answer:
70
Step-by-step explanation:
Using the similarity theorem;
AB/BC = AD/AB
x/7+3 = 7/x
x/10 = 7/x
x^2 = 70
x = √70
Hence the required value inside square root is 70
Answer:
7 18-inch wreaths
26 22-inch wreaths
Step-by-step explanation:
Let's say the number of 18-inch wreaths is x and the number of 22-inch wreaths is y.
We know that the number of 22-inch wreaths sold was 5 more than 3 times the number of 18-inch wreaths sold. We can write this into the expression as:
y = 5 + 3x
We also know that each 18-inch wreath was $20 and each 22-inch wreath was $25. The total cost was $790, so:
20x + 25y = 790
Now, let's substitute 5 + 3x in for y in the second equation:
20x + 25y = 790
20x + 25(5 + 3x) = 790
20x + 125 + 75x = 790
95x + 125 = 790
95x = 665
x = 7
Plug this value into y = 5 + 3x to find y:
y = 5 + 3x
y = 5 + 3 * 7 = 5 + 21 = 26
So, 7 18-inch wreaths were sold and 26 22-inch wreaths were sold.
Prism A has a volume of 36 m
Prism B has a volume of 288 m
The ratio of there lengths is that for every 1m in prism A, there are 8 m in prism B