Volumen of A Solid
Given a solid with a shape of a constant base B and height H, the volume is:
V = BH
The height of the solid is 1 1/4 ft. We need to calculate the area of the base.
The base consists of a larger rectangle from which has been taken a smaller rectangle.
The larger rectangle has dimensions of 9 ft by 6 ft, thus its area is:
A1 = 9 ft * 6 ft = 54 square ft
The smaller rectangle has dimensions of 2 1/2 ft by 4 ft.
The second dimension was calculated as the difference between 9 ft and 2 ft plus 3 ft. (9 ft - 3 ft - 2 ft = 4 ft).
The area of the smaller rectangle is:
A2 = 2 1/2 * 4
The mixed fraction 2 1/2 is converted to improper fraction:
2 1/2 = 2 + 1/2 = 5/2
Thus, the area is:
A2 = 5/2 * 4
A2 = 10 square feet
The area of the base is A1 - A2 = 54 square feet - 10 square feet = 44 square feet
B = 44 square feet.
Now for the volume:
V = 44 square feet * 1 1/4 feet
Again the mixed fraction is converted to a single fraction:
1 1/4 = 1 + 1/4 = 5/4
V = 44 square feet * 5/4 feet
V = 55 cubic feet
Answer:
5 - 3i.
Step-by-step explanation:
2 + 4i + 3 - 7i Bring like terms together:
= 2 + 3 + 4i - 71
= 5 - 3i.
Answer:
He must work 52 days to pay for a single ticket.
Step-by-step explanation:
This question can be solved using proportions.
Per hour:
Joel earns $7.25 per hour, 20% of which is deducted for taxes. So without taxes, in each hour, he earns 100%-20% of 80% of this, so 0.8*7.25 = $5.8.
Per day:
He works 9 a.m. to 5 p.m. each day, so 8 hours a day.
For each hour, he earns $5.8.
So in a day, he makes 8*5.8 = $46.4
How many days he must work:
The ticket costs $2400.
He makes $46.4 a day.
So, to buy a ticket, he needs to work:
2400/46.4 = 51.7 days
Rounding up
He must work 52 days to pay for a single ticket.
Yes it is the same. 1/4 +1/4 = 1/2. so 9/10-1/2=9/10-1/2
Answer:
Step-by-step explanation:
Hi there!
Slope-intercept form: 
where <em>m</em> is the slope and <em>b</em> is the y-intercept (the value of y when x=0)
<u>1) Determine the slope (</u><u><em>m</em></u><u>)</u>
where two points that fall on the line are 
and 
Given the graph, we determine which points we could use. For example, we could use the two points 
and 
:
Therefore, the slope of the line is -6. Plug this into :
<u>2) Determine the y-intercept (</u><u><em>b</em></u><u>)</u>
Recall that the y-intercept occurs when x=0. Given the point (0,2), we know that the y-intercept is 2. Plug this into :
I hope this helps!
