Applying the cosine law, we can determine:
<span>c</span>²<span> = a</span>²<span> + b</span>²<span> - 2abcos(C) </span>
<span>where: </span>
<span>a, b, and c represent the sides of the triangle and C indicates the angle opposite to side c</span>
<span>Thus, we have:</span>
<span>150</span>²<span> = 240</span>²<span> + 200</span>²<span> - 2(240)(200)cos(C) </span>
<span>Now we solve for C</span>
<span>22,500 = 57,600 + 40,000 - 96,000cos(C) </span>
<span>22,500 - 57,600 - 40,000 = -96,000cos(C)
</span>-75,100=-96,000cos (C)
cos (C)=0.7822916
C=arc cos(0.7822916)→ C=38.53°
<span>Therefore, the direction the captain should head towards island B is
180 - 38.53 </span><span>= 141.47 degrees</span>
Using the Pythagorean theorem: In a right triangle where legs are labeled a and b, and hypotenuse is c. Given the triangle ΔXYZ has a right angle at Y, with angles YZX and ZXY both measuring 45 degrees, and ZY = YX = 12 cm. The task is to find the length of XZ.
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.
The provided values are
$85 $240 $120 $60 $315 $190 $145 $105 $285 $260 $95 $215 $235 $175 $155
To start, we will arrange these in ascending order
resulting in
$60 $85 $95 $105 $120 $145 $155 $175 $190 $215 $235 $240 $260 $285 $315
The total count is 15
the position of 105 is 4
Now, we can calculate the percentile

Thus, the percentile for the bid of $105 is 26.667%...........Response