Answer:
AB or the distance across the river is about 171.36 meters.
Step-by-step explanation:
Please refer to the diagram below (not to scale). The area between the two blue lines is the river.
To find AB, we can use the Law of Sines. Recall that:
BC (or <em>a</em>) is opposite to ∠A and AB (or <em>c</em>) is opposite to ∠C. Thus, we will substitute in these values.
First, find ∠A. The interior angles of a triangle must total 180°. Thus:
Substitute:
Solve for ∠A:
Substitute BC for <em>a</em>, AB for <em>c</em>, 49.5° for <em>A</em> and 18.3° for <em>C</em> into the Law of Sines. Thus:
Since BC = 415 m:
Solve for AB. Cross-multiply:
And divide:
Use a calculator. Hence:
AB or the distance across the river is about 171.36 meters.
Answer:
1/6
Step-by-step explanation:
14/84 = 7/42 = 1/6
The x-value corresponds to a y-value of 1 is π
Step-by-step explanation:
The given is:
- y = - cos x
- y = 1
- 0 < x < 2π
We need to find x when y is 1
∵ y = - cos x
∵ y = 1
∴ 1 = - cos x
- Multiply both sides by -1
∴ -1 = cos x
- Switch the two sides
∴ cos x = -1
- Use the inverse of cos to find x
∴ x = 
∵ cos(π) = -1
∴ x = π
The x-value corresponds to a y-value of 1 is π
Look to the attached graph for more understand
<em>The graph of y = 1 intersects the graph of y = - cos x at x = π from 0 to 2π</em>
Learn more:
You can learn more about the trigonometry equations in brainly.com/question/1599828
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Answer:
hi
Step-by-step explanation:
Area of a circle
A
=
π
r
2
Given
r
=
6
x
9
y
5
c
m
A
=
π
(
6
x
9
y
5
)
2
=
36
π
x
18
y
10
s
q
c
m
A
=
113.0973
x
18
y
10
c
m
2
Answer: 26.67
Step-by-step explanation: multiply 20 and 4/3
