Answer:
1.63
Step-by-step explanation:
V≈1.63
Answer:
; 3
Step-by-step explanation:
In this question, we're being asked to write an equation using the word format. Let's find key words in the statement.
The <u>sum</u> of a <u>number x and 4</u>, <u>all divided by 3.</u>
<u></u>
Looking at the wording, we can conclude that we are adding x and 4, and dividing that by 3. So here's how the phrase would look as an expression.
(x+4) or
Now, there's another part to this problem. We must evaluate the value of the expression if x is given to be 5. So let's plug it into our equations.
<u>(5)+4</u>
3
9/3 gives you 3, so your answer would be 3.
Let me know if you see any errors or have any further questions, otherwise, I hope this helped! :)
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
Given: an n-gon
Prove: The sum of the measures of the interior angles is 180(n – 2)°.
Complete the missing parts of the paragraph proof.
We are given an n-gon, which has n sides and n vertices.
Answers:
1. If we choose one of the vertices, we can draw <u>n-3</u> diagonals.
2. These diagonals form <u>n-2</u> triangles.
3. The sum of the interior angle measures of a triangle is <u>180</u> degrees.
4. <u>n – 2</u> triangles would have an interior angle measure sum of <u>180</u> degrees.
5. Therefore, the sum of the measures of the interior angles of an n-gon is 180(n – 2)°.
