Find the measure of angle A. Round your answer to the nearest hundredth.
2 answers:
Answer:
Angle A = 40.6°
Step-by-step explanation:
For any right angle triangle we know the Pythagoras theorem reveals
Hypotenuse² = Height²+Base²
By this formula we will calculate the length of Hypotenuse
H² = 6²+7²
⇒ H =√36+49 = √85 = 9.22
Now from the given triangle sin A = Height/ Hypotenuse
sin A = 6/9.22 = 0.651
Therefore
So angle A = 40.6°
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X-y=5
xy=3.36
add y to both sides on first
x=5+y
sub that in other eqation
(5+y)y=3.36
expand
y^2+5y=3.36
minus 3.36 both sides
y^2+5y-3.36=0
use quadratic formula
for
ay^2+by+c=0
for 1y^2+5y-3.36
y=-2.5+/-3.1
y=5.6 or 0.6
sub back
x=y+5
so
x=10.6 or 5.6
the numbers are either 10.6 and 5.6 or 0.6 and 5.6
wait,but 10.6 and 5.6 don't multiply to get 3.36 so that is an extrainiesous answer
answer is 0.6 and 5.6
xy=3.36
add y to both sides on first
x=5+y
sub that in other eqation
(5+y)y=3.36
expand
y^2+5y=3.36
minus 3.36 both sides
y^2+5y-3.36=0
use quadratic formula
for
ay^2+by+c=0
for 1y^2+5y-3.36
y=-2.5+/-3.1
y=5.6 or 0.6
sub back
x=y+5
so
x=10.6 or 5.6
the numbers are either 10.6 and 5.6 or 0.6 and 5.6
wait,but 10.6 and 5.6 don't multiply to get 3.36 so that is an extrainiesous answer
answer is 0.6 and 5.6