Answer:
Volume of prism = 3,240 cm³
Step-by-step explanation:
GIven.
Hexagonal prism.
Side of base(b) = 12cm
Height of prism = 9cm
Height of base (h)= 10cm
Find:
The volume of the prism.
Computation:
Area of base of hexagonal prism = n/2[bh]
Area of base of hexagonal prism = 6/2[(12)(10)]
Area of base of hexagonal prism = 360 cm²
The volume of prism = Area of base of hexagonal prism × Height of prism
The volume of prism = 360 × 9
Volume of prism = 3,240 cm³
Answer:
A) 56 . . . . . . the (negative) sum of -7 and -49
b) 112 . . . . . the product of 7 and 16
c) 16 . . . . . . the square of 8/2
1. The total must be at least $1975:

2. Dog walks is no more than 4 times lawns:

3. At least 50 dog walks:
Answer:
option (C) the same
Step-by-step explanation:
In the given question , it is mentioned that the ball of mass 0.2 kilograms is thrown with the velocity of 4 m/s in the horizontal direction
and, the 0.4 kilogram green ball is thrown in the horizontal direction with the velocity of 8 m/s
Here in both the cases no component of velocity in the vertical direction is provided.
Hence, it will be a case of free fall in the vertical direction.
Now,
from Newton's equation of motion, we have
here,
s is the distance
a is the acceleration
t is the time
in the above equation, mass has no role and the value of acceleration i.e acceleration due to gravity and distance of fall in the vertical direction is same.
Hence, the time taken for both the balls will be same.
Hence,
The correct answer is option (C) the same
We are given with the points (-1,4), (2,7) and (1,5) as the sides of the triangle. The area of the triangle can be determined by determining first the length of the sides. Via distance formula, the sides are 3 sqrt 2, sqrt 5 and sqrt 5. The perimeter thus is equal to 8.71 units