Answer: 
Step-by-step solution:
Leon’s older brother’s height is 
feet
feet
Because Leon is 1/3 foot shorter than his brother,
Leon’s height = 
Convert to like fractions by multiplying numerator and denominator: multiply 3 for the first fraction and 4 for the second.
So, Leon’s height = 
feet
Therefore, Leon’s height is feet.
According to the rule of 72,
72/rate=time
72÷9.6=7.5 years
An alternative method for resolution using the main formula
2300=1150(1+0.096/4)^4t
Isolate t
t=((log(2,300÷1,150)÷log(1+(0.096÷4))÷4))=7.31 years
I hope this is helpful:-)
Answer:
"Ensure that one of them is a match"
Step-by-step explanation:
Generating heat through friction requires some practice. By elevating the wood's temperature, it's feasible to reach the necessary ignition temperature.
Successful fire-starting depends on proper technique and equipment. Failures often arise from inadequate approach and gear, which can complicate the learning process.
When selecting wood, aim for the following criteria:
- Dry tinder
- Wood should be compressible; if it isn't, it's too challenging.
- Wood that is moderately strong but not overly tough
- Avoid sap in the wood
Position the two pieces of wood at a 90-degree angle, resembling a cross. Support one stick vertically on the ground, while the other rubs against it quickly, using intervals.
Underneath, place dry tinder that catches fire swiftly after it's ignited.
For the Puzzle, remember the order of the words:
Ensure that one of them is a match.
Utilize tree wood, apply friction and heat until ignition occurs.
Assuming arcs are measured in degrees, let S represent the following sum:
S = sin 1° + sin 2° + sin 3° +... + sin 359° + sin 360°
By rearranging, S can be reformulated as
S = [sin 1° + sin 359°] + [sin 2° + sin 358°] +... + [sin 179° + sin 181°] + sin 180° +
+ sin 360°
S = [sin 1° + sin(360° – 1°)] + [sin 2° + sin(360° – 2°)] +... + [sin 179° + sin(360° – 179)°]
+ sin 180° + sin 360° (i)
However, for any real k,
sin(360° – k) = – sin k
Thus,
S = [sin 1° – sin 1°] + [sin 2° – sin 2°] +... + [sin 179° – sin 179°] + sin 180° + sin 360°
S results in 0 + 0 +... + 0 + 0 + 0 (... since sine of 180° and 360° are both equal to 0)
Therefore, S equals 0.
Each pair within the brackets negates itself, leading the sum to total zero.
∴ sin 1° + sin 2° + sin 3° +... + sin 359° + sin 360° equals 0. ✔
I hope this clarifies things. =)
Tags: sum summatory trigonometric trig function sine sin trigonometry
n equals 277
9 multiplied by 27 plus 2 multiplied by 31 minus 28 gives n
243 plus 62 minus 28 results in n
305 minus 28 equals n
which means 277 is n
