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.
Yes but it would result in a decimal.
9514 1404 393
Answer:
0.06164
Step-by-step explanation:
The effective annual rate obtained by compounding nominal annual rate r monthly is ...
eff rate = (1 +r/12)^12 -1
Then the value of r is ...
r = 12×((eff rate) +1)^(1/12) -1)
For the given effective rate, that is ...
r = 12×(1.06341^(1/12) -1) ≈ 0.06164 . . . . nominal annual interest rate
Answer:
<h3>
44</h3>
Step-by-step explanation:
z - some integer
2z - first given even integer (the smaller one)
2z+2 - even integer consecutive to 2z (the larger one)
2(2z) - twice the smaller number
2(2z) - 40 - the number 40 less than twice the smaller number
2(2z) - 40 = 2z + 2
4z - 40 = 2z + 2
2z = 42
2z+2 = 42+2 = 44
check:
2(2z)-40 = 2(42)-40 = 84-40 = 44
