Answer: the length of the prism is 9cm
Step-by-step explanation:
The formula for determining the volume of a rectangular prism is expressed as
Volume = length × height × width
Volume = LWH
The length of the rectangular prism is three times the width.. It means that
L = 3W
The height and the width are the same. This means that
H = W
Therefore,
Volume = 3W × × W × W = 3W³
If the volume of the prism is 81 cubic centimeters, it means that
81 = 3W³
Dividing through by 3, it becomes
81/3 = 3W³/3
W³ = 27
Taking cube root of both sides, it becomes
W = 3
Therefore, the the length of the prism would be
L = 3W = 3 × 3
L = 9 cm
Answer:
4.5m/s^2
Step-by-step explanation:
Given data
Mass= 200kg
Force= 895N
Required
the acceleration a
We know that
F=ma
a= F/m
substitute
a= 895/200
a= 4.5 m/s^2
Hence the accelaration is 4.5m/s^2
Well when you round to the nearest 10 it will be 1 number after the point (this is due to that 10 only has one 0.) now we know that if there is a number bigger than 5 besides the number they ask you in this case the first after the point you will add 1 to that number. in this case you will add 1 to the 3. this will give you the answer of 56.4
Hope this helps
They are vertical angles and would be the same so set them to equal each other and solve:
3x-4 = 2x+9
add 4 to both sides:
3x = 2x +13
subtract 2x from each side:
x = 13
now replace x with 13 in the original equations:
3x-4 = 3(13) -4 = 39-4 = 35
2x+9 = 2(13)+9 = 26+9 = 35
the angles = 35 degrees
