Answer:
299
Step-by-step explanation:
On average, it travels 52 miles in each hour. In 5 3/4 hours, it travels 5 3/4 times 52 miles.
(5 3/4)(52 miles) = 299 miles
It travels 299 miles in the given time.
Answer:
16
Step-by-step explanation:
2+2=4
4 squared=16
A triangle is a triangle is two of the side lengths is greater than the third side.
A- (18+6= 24). (24>23). (13+6=19). (19>18). This is a triangle.
B- (13+22=35). (35>7). (22+7=29). (29>13). (13+7=20). (20<22) This is not a triangle.
C- (22+13=35). (35>8). (13+8=21). (21<8). This is not a triangle.
D- (6+18=24). (24>12). (12+6=18). (18=18) This is not a triangle.
The correct answer is A.
The number of units of x that must be sold to break even is 12 units.
Explanation:
It is given that the cost function C(x) is given by
Also, the revenue function R(x) is given by
The break even point can be determined by equating the cost function and the revenue function.
Thus, we have,
Subtracting both sides by 
, we get,
Dividing both sides by 
, we have,
Thus, it takes 12 units to be sold to break even.
Hence, the number of units of x that must be sold to break even is 12 units.
<h3>
Answer: 168 square feet</h3>
=========================================================
Explanation:
The front triangular face is a triangle with base 8 and height 6. Its area is
A = 0.5*base*height
A = 0.5*8*6
A = 24 square feet
The back triangular face is also 24 square feet since these are the base faces of the prism. The base faces are always congruent. It might help to imagine this figure is turned on its side.
The slanted lateral face is a rectangle of length 10 ft and width 5 ft, so its area is L*W = 10*5 = 50 square feet
The rectangular face on the left is 6 ft by 5 ft giving an area of 6*5 = 30 square feet.
Lastly, the bottom rectangular face is 8 ft by 5 ft giving an area 8*5 = 40 square feet
Overall, the total surface area is: 24+24+50+30+40 = 168 square feet
We just add up all the individual areas of each face to get the total surface area.
