Answer:
Step-by-step explanation:
The scenario is represented in the attached photo. Triangle ABC is formed. AB represents her distance from her base camp. We would determine BC by applying the law of Cosines which is expressed as
a² = b² + c² - 2abCosA
Where a,b and c are the length of each side of the triangle and B is the angle corresponding to b. It becomes
AB² = AC² + BC² - 2(AC × BC)CosC
AB² = 42² + 28² - 2(42 × 28)Cos58
AB² = 1764 + 784 - 2(1176Cos58)
AB² = 2548 - 1246.37 = 1301.63
AB = √1301.63
AB = 36.08 km
To find the bearing, we would determine angle B by applying sine rule
AB/SinC = AC/SinB
36.08/Sin58 = 42/SinB
Cross multiplying, it becomes
36.08SinB = 42Sin58
SinB = 42Sin58/36.08 = 0.987
B = Sin^-1(0.987)
B = 81°
Therefore, her bearing from the base camp is
360 - 81 = 279°
Answer:
6.7 inches
Step-by-step explanation:
the statue is 67 feet tall, and in the replica, every inch is 10 feet. All you would need to do is move the decimal point to the left by one point.
Answer:
<u>Mode = 1</u>
Step-by-step explanation:
<u>Relation between the Central Measures of Tendency</u>
- Mean, Median, and Mode are commonly referred to as the Central Measures of Tendency
- The formula between the three is given by :
- ⇒ <u>Mode = 3Median - 2Mean</u> or <u>Mode + 2Mean = 3Median</u>
<u></u>
<u>Solving</u>
- Median = 5
- Mean = 7
Therefore,
- Mode = 3(5) - 2(7)
- Mode = 15 - 14
- <u>Mode = 1</u>
Input: 4y-16+8y=-4 answer: 12y-16=-4 HERE IS YOUR ANSWER
The area of a triangle can be calculated using the formula
1/2 (base) (height)
Let's substitute our known values, letting x represent the value of the height of the triangle.
16 = 1/2* x* 2x
Let's Simplify!
16 = x^2
Finally, lets take the square root of both sides, to get rid of the exponent on the right side of the equation.
x= positive OR negative 4.
However, because x is equal to the height, we know that it can't be negative, so we know that it is positive 4.
The height of the triangle = 4 inches
The base of the triangle = 2h = 8 inches
