Answer:
1)-5
2)-15
3)1
4)-11
5)-70
if negative use () for example
(-2)-7+4
Answer:
76017.69 mm²
631000 mm³
295045.04 mm³
Step-by-step explanation:
Surface area = bh + 2ls + lb
Since the sides of the triangular prism are equal (equilateral triangle) = 60 mm each
Height = 405 mm
The surface area of triangular = 76017.69 mm
The volume of triangular prism :
1/2 * base * height * length
Volume = 631000 mm³
If amount of chocolate inside = 335954.96 mm3
Empty space =
Volume of triangular prism - amount of chocolate inside
631000 - 335954.96
= 295045.04 mm³
Answer:

Step-by-step explanation:

take derivative with respect to t

derivative of e^t is e^t
derivative of 0.23t is 0.23

Apply chain rule


The value of asked for is obtained by subtracting the distance traveled downward by the climber from the peak elevation. This is shown below,
d = 14,090 ft - 490 ft
The value is equal to 13600 ft. Thus, the climber is 13,600 ft from the ground.
Answer:
volume of cone = 1/3 volume of cylinder
according to the question, volume of cylinder =
V =

diameter = 3 inches
radius = 3/2 inches
height = 8 inches
V = 22.7 * (3/2)²* 8
V = 22.7 * 9/4 * 8
V = 22.7 * 18
maximum volume a cone can have = 1/3 of cylinder
Volume of cone = 1/3 * 22.7 * 18
= 22.7 * 6
= 132.6