The rectangle with maximum area will actually be a square.
Each side will be of length 7/4 = 1 3/4.
Answer:
Y(n) = 7n + 23
Step-by-step explanation:
Given:
f(0) = 30
f(n+1) = f(n) + 7
For n=0 : f(1) = f(0) + 7
For n=1 : f(2) = f(1) + 7
For n=2 : f(3) = f(2) + 7 and so on.
Hence the sequence is an arithmetic progression with common difference 7 and first term 30.
We have to find a general equation representing the terms of the sequence.
General term of an arithmetic progression is:
T(n) = a + (n-1)d
Here a = 30 and d = 7
Y(n) = 30 + 7(n-1) = 7n + 23
Answer:
shaded area = 601 mm²
Step-by-step explanation:
Area of rectangle = Length * Breadth
Area of first section = 12 * 16 = 192 mm²
Area of 2nd middle section = 8 * ( 16 - 10 ) = 48 mm²
Area of the bottom section = 19 * 19 = 361 mm²
Area of total therefore = 192 mm² + 48 mm² + 361 mm²
= 601 mm²
Answer:
- the given dimension was used as the radius
- 5.57 m³
Step-by-step explanation:
The volume of a sphere can be found using the formula ...
V = 4/3πr³ . . . . . where r is the radius
__
The figure points to a diameter line and indicates 2.2 m. The arrowhead is in the middle of a radius line, making it easy to interpret the dimension as the radius of the sphere.
If 2.2 m is used as the radius, the volume is computed to be ...
V = 4/3π(2.2 m)³ ≈ 44.58 m³
This agrees with your friend's volume, suggesting the diameter was used in place of the radius in the computation.
__
The correct volume, using 2.2 m as the diameter, is ...
V = 4/3π(1.1 m)³ ≈ 5.57 m³
A right angle is 90 degrees
So you 90/4=22.5
Then 90+22.5=112.5
Hope this helped!