Actual area = 42ft²
The actual area will simply be calculated as:
= 6 × 7
= 42 feet²
The distance of the flag pole from point Y is 0.8 km and it is placed at an bearing of N40°E
<h3>What is an equation?</h3>
An equation is an expression that shows the relationship between two or more numbers and variables.
Sine rule shows the relationship between the sides and angles of a triangle.
The triangle formed has angles A = 10°, B = 50°, C = 120°, c = 4 km, a = distance from point y.
Hence:
a / sinA = c / sinC
a / sin(10) = 4 / sin(120)
a = 0.8 km
The distance of the flag pole from point Y is 0.8 km and it is placed at an bearing of N40°E
Find out more on equation at: brainly.com/question/2972832
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You can take the log of the left and right hand side, and then apply the <span>logarithm rules:
log(a</span>ˣ) = x·log(a)
log(ab) = log(a) + log(b)
log(9^(x-1) * 2^(2x+2)) = log(6^(3x))
log(9^(x-1)) + log(2^(2x+2)) = 3x log(6)
(x-1) log(9) + (2x+2) log(2) - 3x log(6) = 0
x(log9 + 2log2 - 3log6) = log9 - 2log2
x = (log9 - 2log2) / (log9 + 2log2 - 3log6)
simplifying by writing log9 = 2log3 and log6 = log2+log3
x= 2(log3 - log2) / (2log3 + 2log2 - 3log2 - 3log3) =
x= -2(log3 - log2) / (log3 + log2) = -2 log(3/2) / log(6)
So 6^x = 4/9
Answer: he must pay $650 interest
Step-by-step explanation:
2000 x 0.650 x 1/2 = 650
Answer:
cos(A) = 4/5
Step-by-step explanation:
3sinA+4cosA=5
Divide by 5 on both sides
(3/5)sinA+(4/5)cosA = 1 .................(1)
from which sin(A) = 3/5, cos(A) = 4/5 by inspection, since
(3/5)^2+(4/5)^2 = 1
For more details,
Let
cos(B) = (3/5), then
sin(B) = (4/5)
Substitute in (1)
cos(B)sin(A) + sin(B)cos(A) = 1 substitute trigonometric sum
sin(A+B) = 1 => A & B are complementary
cos(A) = sin(B) = 4/5
