<h3>The distance between two landmarks is 123 meters</h3>
<em><u>Solution:</u></em>
We have to find the distance between two landmarks
<em><u>Use the law of cosines</u></em>
The third side of a triangle can be found when we know two sides and the angle between them

Here, angle between 90 meters and 130 meters is 65 degrees
From figure,
a = 90
b = 130
c = d
Therefore,

Thus, the distance between two landmarks is 123 meters
All real numbers is the correct answer.
Answer:
round to 1
Step-by-step explanation:
it is closest to 1 so it wouldnt make sense to round to a number farther away
Answer:
There are 48 marbles in the bag
Step-by-step explanation:
red: blue : total
3 8
there are 18 red
18/3 = 6
Multiply everything by 6
3*6 8*6
18 48
There are 48 marbles in the bag
Answer:
<em>Length of x ⇒ ( About ) 11.5; Option C</em>
Step-by-step explanation:
<em>~ Let us plan this question step-by-step. We know that the line segment with length 13.1 is a radii to the circle, as well as a hypotenuse to a right triangle. Respectively the hypotenuse of another triangle is a hypotenuse as well. By radii ≅, these two part of these two triangles are ≅ ~</em>
1. If these two parts are ≅, the triangle with leg x has a hypotenuse of 13.1 as well ( through ≅ ). This would mean that Pythagorean theorem is applicable for this triangle, as to solve for line segment x.
2. By Pythagorean Theorem ⇒
6.2^2 + x^2 = 13.1^2,
38.44 + x^2 = 171.61,
x^2 = 133.17
<em>Length of x ⇒ ( About ) 11.5</em>