Answer:
60 feet cubed
Step-by-step explanation:
We are told type of pyramid is a rectangular pyramid.
The volume of a rectangular pyramid = 1/3 × Length × Width × Height
We are told that the pyramids have a base of 4 feet by 5 feet and a height of 4.5 feet.
Volume for one of the pyramid =
1/3 × 4 × 5 × 4.5
= 30 cubic feet
Since the pyramid has the same measurements, that means the second pyramid also has the volume of = 30 cubic feet.
The total volume of the figure of the two pyramids stacked together = 30 cubic feet + 30 cubic feet = 60 cubic feet or 60 feet cubed.
2 divided by 1/3 equals 6
For finding surface area we add all the surface of the prism- 60×2=120(because in the prism there are two triangle so we are multiplying the area of triangle with 2) know we will multiply 40×8=320 perimeter is the sum of all sides. surface area= 320+120=440
Answer:
<h2>The answer is 50%</h2>
Step-by-step explanation:
step one :
first and foremost we are going to list the sample space related to a die
the same space is S= {1,2,3,4,5,6}= 6
step two:
now the even numbers in the sample space are ={2,4,6}= 3
hence we can solve for the probability of obtaining an even number to be
Pr(even number)= 3/6= 1/2.
step three:
since we are to provide the answer in percentage format, we can easily do this by multiplying the answer by 100 to get the percentage
(1/2)*100= 0.5*100= 50%
The factors of polynomial are (x-1) and (x+3)
Step-by-step explanation:
If (x+9) is a factor of P(x)= x³+11x²+15x-27 then the P(x) must be completely divisible by (x+9)
After finding the polynomial, we need to factorise the polynomial by utilising the quadratic equation.
All the process has been described in image attached-
S₁, S₂, S₃ represents various steps involved in solving the problem.
It is found that (x+9) is a factor of x³+11x²+15x-27
The polynomial found after dividing x³+11x²+15x-27 by (x+9) is x²+2x-3
Which can be further factorised by quadratic rule into the factors as (x-1) and (x+3)
Hence the factors are (x-1) and (x+3)
