Answer:
The container will hold 70.14 cubic cm of chocolate.
Step-by-step explanation:
The base of the prisms are equilateral triangles.
Each base measures 3 cm on a side.
The length of the container = 18 cm
Area of the equilateral triangle is given by :
a = 3 so area = 
= 3.897 cm square
And volume will be 
cubic cm.
So, the container will hold 70.14 cubic cm of chocolate.
The given length is 18 feet. The new pool will be 3x feet longer, this means that:
new length = 18 + 3x feet ............> equation I
The given width is 12 feet. The new pool will be x feet wider, this means that:
new width = 12 + x feet ...........> equation II
Now, the area of the rectangle = length * width
This means that to get the area, we will have to multiply equation I and II as follows:
area = (18+3x)(12+x)
Use the distributive property as follows:
area = (18+3x)(12+x)
area = 216 + 18x +36x + 3x^2
area = 3x^2 + 54x + 216
Comparing the calculated area with the given choices, we will find that the correct choice is:
<span>B. f(x) = 3x2 + 54x + 216
</span>
You want to round 905,154 to the nearest ten-thousands place. The ten-thousands place in your number is shown by the bold underlined digit here:
9<em><u>0</u></em>5,154
To round 905,154 to the nearest ten-thousands place...
The digit in the ten-thousands place in your number is the 0. To begin the rounding, look at the digit one place to the right of the 0, or the 5, which is in the thousands place.
Since the 5 is greater than or equal to 5, we'll round our number up by
Adding 1 to the 0 in the ten-thousands place, making it a 1.
and by changing all digits to the right of this new 1 into zeros.
The result is: 910,000.
So, 905,154 rounded to the ten-thousands place is 910,000.
Answer:
Total of Amala’s liabilities is $5500 .
Step-by-step explanation:
Liabilities is defined as the sums of money which it owes .
As given
Amala listed her assets and liabilities. Credit Card Balance Car (Paid in full) Jewelry Student Loan Savings Account Stocks $850 $2,200 $125 $2,500 $1,200 $1,500 .
As Credit card balance , car (Paid in full) and student loan are Amala liabilities .
Thus
Total amount of Amala’s liabilities = Credit card balance + car + student loan .
Putting all the values in the above
Total amount of Amala’s liabilities = 850 + 2200 + 2500
= $5500
Therefore the total of Amala’s liabilities is $5500 .
We can solve the puzzle by simplifying the conditions in the table below:
Husband Wife Place Visited Means
Eugene Chloe Stake Out not Limousine
not David, then Flavian Belinda Rainbo IV then Limousine
then David Andrea then Water World fun park Taxi
Therefore, from the given conditions, David and Andrea spent their evening at Water World fun park and they got there by taxi.
