Answer:
Two possible lengths for the legs A and B are:
B = 1cm
A = 14.97cm
Or:
B = 9cm
A = 12cm
Step-by-step explanation:
For a triangle rectangle, Pythagorean's theorem says that the sum of the squares of the cathetus is equal to the hypotenuse squared.
Then if the two legs of the triangle are A and B, and the hypotenuse is H, we have:
A^2 + B^2 = H^2
If we know that H = 15cm, then:
A^2 + B^2 = (15cm)^2
Now, let's isolate one of the legs:
A = √( (15cm)^2 - B^2)
Now we can just input different values of B there, and then solve the value for the other leg.
Then if we have:
B = 1cm
A = √( (15cm)^2 - (1cm)^2) = 14.97
Then we could have:
B = 1cm
A = 14.97cm
Now let's try with another value of B:
if B = 9cm, then:
A = √( (15cm)^2 - (9cm)^2) = 12 cm
Then we could have:
B = 9cm
A = 12cm
So we just found two possible lengths for the two legs of the triangle.
Alright, lets get started.
Please take a look at the diagram attached.
The reference angle of 75 will be 75
As it is mentioned that the angle intersects the unit circle means r = 1
So, finding cos
cos 75 = 
cos 75 = 
cos 75 = 0.259 : Answer
Hope it will help :)
Step-by-step explanation:
Use SOH-CAH-TOA.
Sine = Opposite / Hypotenuse
Cosine = Adjacent / Hypotenuse
Tangent = Opposite / Adjacent
You're given an angle, the adjacent side to that angle, and the hypotenuse. So use cosine.
Cosine = Adjacent / Hypotenuse
cos 37° = 48 / x
Multiply both sides by x.
x cos 37° = 48
Divide both sides by cos 37°.
x = 48 / cos 37°
If desired, use a calculator to evaluate.
x ≈ 60.1
It's simple you've been told that correct answers equals 6/7 and she did all the questions. Therefore the incorrect answers equals 1/7, which is 4. So just times 4 by 7. 4 x 7 = 28. 28 questions on the quiz.
Answer:
a1 = 6
a2 = 15
a3 = 24
a4 = 33
Step-by-step explanation:
Let k =1
a1 =-3 +9(1) = -3 +9 = 6
Let k = 2
a2 = -3 +9(2) =-3+18 = 15
Let k =3
a3 =-3 +9(3) = -3 +27 = 24
Let k = 4
a4 = -3 +9(4) =-3+36 = 33
