Answer:
ΔV = 0.36π in³
Step-by-step explanation:
Given that:
The radius of a sphere = 3.0
If the measurement is correct within 0.01 inches
i.e the change in the radius Δr = 0.01
The objective is to use differentials to estimate the error in the volume of sphere.
We all know that the volume of a sphere
The differential of V with respect to r is:
dV = 4 πr² dr
which can be re-written as:
ΔV = 4 πr² Δr
ΔV = 4 × π × (3)² × 0.01
ΔV = 0.36π in³
11km = 5h
1km = 5h divide by 11km = 0.45h
16.5km = 0.45 x 16.5 = 7.42 h
There are 24 people, there are 4 pies and they each get 1/6th, 4x6=26
The entire race was 8 hours. If 3/4th of the race was 6 hours, 6/3=2 meaning 1/4th of the race is 2 hours and the full thing being 8.
Answer:
Number = 15.
Step-by-step explanation:
Given : If you multiply a number by 3 and then subtract 5, you will get 40.
To find : what is the number.
Solution : We have given if you multiply a number by 3 and then subtract 5, you will get 40.
According to question :
Let the number = x
Multiply is with 3 = 3x
Subtract 5 from it we get 40 .
3x -5 = 40
On adding both sides by 5
3x = 45 .
On dividing both sides by 3
x = 15.
Therefore, Number = 15.
Answer:
A. △ABC ~ △DEC
B. ∠B ≅ ∠E
D. 3DE = 2AB
Step-by-step explanation:
Transformation involves the reshaping or resizing of a given figure. The types are: reflection, dilation, rotation and translation.
In the given question, the two operations performed on triangle ABC are reflection and dilation to form triangle DEC. The length of each side of triangle DEC is two-third of that of ABC. Therefore, the correct statements about the two triangles are:
i. △ABC ~ △DEC
ii. ∠B ≅ ∠E
iii. 3DE = 2AB
