Answer:
D is the similar triangle
Step-by-step explanation:
A quick solution to this problem is using the hypotenuse.
You know that sin(A) is 1/4 and sin is opposite / hypotenuse, so the hypotenuse should be a multiple of 4 in order for the fraction to reduce to 1/4. (it might not be, but I usually do this to see if there's a quick solution)
Using this trick, you find that the only triangle with a hypotenuse that is a multiple of 4 is the last triangle. Now simply double check the other trig. functions to check whether it truly is the same.
To check each trig function, you must first determine the corresponding angle to angle A. Again, for simplicities sake, let's use 1/4 as a determiner for the angle. The only combination of sides divided by hypotenuse that simplifies to 1/4 is 6/24. Therefore 6 must be opposite to the angle, since it's sin(a) = 1/4 and sin is opposite / hypotenuse. So the angle is X.
Now check for both cos and tan
Cos(x) = 6(15)^0.5 / 24 = (15)^0.5 / 4 CHECKS OUT
Tan(x) = 6 / 6(15)^0.5 = 1 / (15)^0.5 CHECKS OUT
Since everything checks out, then answer D is truly correct.
Answer:
We know that the y intercept is -3 because that is where it intersects! The point for the y intercept is (0, -3)
Step-by-step explanation:
Answer:
the answer would be 50 because you time 9x6 then you 54 but then you round nearst tenth so 50 is enough to round so it would be 60 and the four cant be rounded up so it would just be zero
Step-by-step explanation:
hope this helps
Answer:
9x-10y+60=0
Step-by-step explanation:
slope is,
m = (6-(-3))/(0-(-10))
= 9/10
b = -3-(9/10)×(-10)
= 6
So, the equation of the line is,
y = 9x/10+6
or, 9x-10y+60=0
Answered by GAUTHMATH
Answer:
0.1 rad/s
Step-by-step explanation:
Since the distance from or to the flagpole is not given, I will assume. And my assumption is 50 ft
Now, the elevation angle A = 45 degrees, converting to radians, we have π/4 radians
Remember that the tan of an angle is OPP/HYP, and so
tan A = h/25, on differentiating, we have
d tan A/dA = sec^2 A = (1/25) dh/dA
Next, we have
25 sec^2 A * dA/dt= dh/dt = 5
Making dA/dt the subject of formula, we have
dA/dt = (1/5) cos^2 A
but cos^2 A from trigonometry = 1/2, this means that
dA/dt = .1 radians/second
If you want to convert to degrees, your have
.1 Rad/s( 180 deg/rad) = 18 degrees/second
