Answer:
The area of the base of the rectangular prism is:
- <u>18 square centimeters</u>.
The height of the rectangular prism is:
The volume of the rectangular prism is:
- <u>108 cubic centimeters</u>.
Step-by-step explanation:
To find the area of the base of the prism, you must remember that it corresponds to the rectangle formed by the points ABCD, with this in mind we apply the area formula that is equal to:
- Area of a rectangle = base * height.
Since the rectangle formed by the mentioned points has a base of 9 cm and a height of 2 cm, these values are the ones we use in the formula:
- Area of a rectangle = 9 cm * 2 cm
- <u>Area of a rectangle = 18 cm^2
</u>
Since the height requested by the second question is not from the rectangle at the base but from the entire prism, you should look at the height formed by the AW points, which as you can see is:
- <u>Prism height = 6 cm
</u>
Once we have these two data, it is very easy to calculate the volume since they are what we require in the volume formula:
- Volume = area * height.
- Volume = 18 cm^2 * 6 cm
- <u>Volume = 108 cm^3</u>
Answer:
3 necklaces and 12 bracelets
Step-by-step explanation:
Bracelets = x +4
amount of necklace gold = 20*x
amount of gold in bracelet = 7*(x+4)
added together = 109 gm
20x + 7(x+4) = 109
20x + 7x+28 = 109
27x+28=109
-28 -28
27x= 81
/27 /27
x=3 necklaces
then bracelets = 3+4=12
Answer:
Farmer Anne's land = 173 acres
Farmer Cassius = 519 acres
Farmer Mel = 1,557 acres
Step-by-step explanation:
Total acre = 2,249
Let
Farmer Anne's land = x
Farmer Cassius = 3x
Farmer Mel = 3(3x) = 9x
x + 3x + 9x = 2,249
13x = 2,249
x = 173
Farmer Anne's land = x = 173 acres
Farmer Cassius = 3x
= 3(173)
= 519 acres
Farmer Mel = 3(3x) = 9x
= 9(173)
= 1,557 acres
Therefore,
Farmer Anne's land = 173 acres
Farmer Cassius = 519 acres
Farmer Mel = 1,557 acres
Answer:
How do you figure out if a relation is a function? You could set up the relation as a table of ordered pairs. Then, test to see if each element in the domain is matched with exactly one element in the range. If so, you have a function!
Step-by-step explanation:
Answer: Can I see the whole questions?
Step-by-step explanation: