Answer:
Distance= 6.6 miles
Bearing= N 62.854°W
Step-by-step explanation:
Let's determine angle b first
Angle b=20° (alternate angles)
Using cosine rule
Let the distance between the liner and the port be x
X² =8.8²+2.4²-2(8.8)(2.4)cos20
X²= 77.44 + 5.76-(39.69)
X²= 43.51
X= √43.51
X= 6.596
X= 6.6 miles
Let's determine the angles within the triangle using sine rule
2.4/sin b = 6.6/sin20
(2.4*sin20)/6.6= sin b
0.1244 = sin b
7.146= b°
Angle c= 180-20-7.146
Angle c= 152.854°
For the bearing
110+7.146= 117.146
180-117.146= 62.854°
Bearing= N 62.854°W
Answer:
35x71+71x65+51x23+23+49=8,345
Step-by-step explanation:
6 times 5 = 30
8 times 2 = 16
You've earned 46 points possible
One way to solve the rest is to set up a proportion
46/x = 92/100
x= 50 points
Answer:
Step-by-step explanation:
Given
Required
Expression to rationalize the numerator and denominator of the above
To rationalize means to reduce a surd to a rational form by multiplying the surd by a suitable surd is know
To rationalize the above surd, we multiply the numerator and denominator by the surd expression at the denominator, which is
<em>Solving further to rationalize the given expression, we have</em>
Multiply
Expand the expression to give
Simplify by dividing numerator and denominator by 3
Expand denominator
Square root of 4 is 2 and square root of is x, so we have
Hence, rationalizing will give
Q) 145+ (-15) + (-188) = ?
→ 145+ (-15) + (-188)
→ {145 - 15} - 188
→ 130 - 188
→ -58 is the solution.