Given b=4 and ∠β=20°,
a = 10.98991
c = 11.69522
∠α = 70° = 1.22173 rad = 7/18π
h = 3.75877
area = 21.97982
perimeter = 26.68513
inradius = 1.64735
circumradius = 5.84761
a
b
c
Calculation Steps
The following is one way to perform the calculation. It may not be the best way.
c =
b
sin(β)
= 11.69522
a = √c2 - b2
= √11.6952176006522 - 42
= √120.77811472661
= 10.98991
∠α = 90° - ∠β
= 70° = 1.22173 rad = 7/18π
area =
a × b
2
=
10.989909677818 × 4
2
= 21.97982
perimeter = a + b + c
= 10.989909677818 + 4 + 11.695217600652
= 26.68513
inradius =
a × b
a + b + c
=
43.959638711274
26.685127278471
= 1.64735
circumradius =
c
2
=
11.695217600652
2
= 5.84761
- ror
Let see how to build up this formula that is going to give that term of rank n
1st term =a₁ & r is the ratio
1st a₁ = a₁ x r°
2nd a₂ = a₁ x r¹
3rd a₃ = a₁ x r²
4th a₄ = a₁ x r³
5th a₅ = a₁ x r⁴
.......................
.......................
nth : a(n) = a₁ x r⁽ⁿ-¹)
Note when that the subscript of a is the same as the exponent mines 1
Answer:
D.
Step-by-step explanation:
Hope this helps!
Answer:
What is the correct unit rate?
The correct unit rate = 2 pound per gallon
What was Henry's likely error?
Henry's likely error was that instead of dividing the fractions he multiplied them
Step-by-step explanation:
Henry incorrectly said the rate 1/5 pound/1/10 gallon can be written as the unit rate 1/50 pound per gallon .
What is the correct unit rate?
The correct unit rate
= 1/5 / 1/10
= 1/5 ÷ 1/10
= 1/5 × 10/1
= 2 pound per gallon
What was Henry's likely error?
Henry's likely error was that instead of dividing the fractions he multiplied them
1/5 / 1/10
Henry calculated it : = 1/5 x 1/10 = 1/50
This is wrong.
The correct step is given below
1/5 / 1/10
= 1/5 ÷ 1/10
= 1/5 × 10/1
= 2 pound per gallon
