Answer:
Step-by-step explanation:
A boat leaves the harbor entrance and travels 28 miles in the direction N 43° E.
Displacement in vector form
= 28 cos43 i + 28sin43j
= 20.47 i + 19.1 j
The captain then turns the boat 90° and travels another 15 miles in the direction S 47° E
Displacement
= 15 cos47 i - 15 sin47 j
= 10.22 i - 10.97 j
Total displacement
= 20.47 i + 19.1 j + 10.22 i - 10.97 j
= 30.69 i - 8.13 j
Magnitude of displacement
= 31.75 miles
Angle with east direction
TanФ = - 8.13 / 30.69
Ф = 15 degree south of east.
Answer:
0.86
Step-by-step explanation:
The z-score we need to make the comparison is given by
where
= the standard deviation established in the study
n = the sample size
and for the Normal distribution N(0,1) we want to find
<em>P(X > -1.0801)
</em>
By using a spreadsheet or the table attached, we find that
P(X > -1.0801) = 0.86
(See picture attached)
<u>Answer
</u>
Option A) 17cm
<u>Explanation
</u>
Polygon R and polygon S are similar. This means the polygon R and S have equal number of sides.
Step 1 : Find the number of sides of polygon S
The perimeter of polygon S is 64 cm. If one side of polygon S is 8 cm
Therefore, Number of sides of polygon S = 64/8 = 8 sides
and number of sides of polygon R = 8 side
Step 2 : Find the number of sides of polygon R
The perimeter of polygon R is 136 cm,
Number of sides of polygon R = 136/8 = 17 cm
Therefore side length of polygon R = 17 cm
Answer:
Step-by-step explanation: true
Answer:18
Step-by-step explanation:
Sin72=cosy
0.9511=cosy
Y=cos(inverse)0.9511
Y=18
