Answer:
Step-by-step explanation:
Question 6)
sin Y= m
sin Y = m/1
So, hypotenuse is 1
Since sine is opposite over hypotenuse
So XZ= m and YZ = 1
Similarly, cos Y = k
cos Y = k/1
So adjacent side of angle Y is k
So XY = k
cos z - sin z = 
cos z - sin z = 
cos z - sin z = m - k
Question 7)
the relationship between sine, cosine, and tangent.
tan(x) = sin(x)/cos(x) = (11/61)/(60/61)
tan(x) = 11/60
Question 8)
Start with where the shorter leg is. It must be opposite the smallest angle.
In a 30 - 60 - 90 degree triangle you have the hypotenuse to be twice as long as the shortest side. You have to read that a couple of times to make sure you understand it.
That being said, if the shortest side is x, the hypotenuse will be 2x.
Since in this case the shortest side is 11, the hypotenuse will be 2*11 = 22
The answer is 22
Answer:
It's just division.
Step-by-step explanation:
Vondra would have to do 77 haircuts per month to pay $308 to either salon.
308 / 4 = 77; 77 * 4 = 308
Answer:
<u>Given</u>
- ΔTQR is right
- QS is altitude
- ΔRSQ and ΔTSQ also right
- m∠TQS = 42°, RS = 26 cm
∠RQS and ∠TQS are complementary with ∠TQS, so are 48°
a)
- ∠QRS is the another one with 42°
b)
<u>Find QS first</u>
- 26/QS = tan 48°
- QS = 26 / tan 48° = 23.4
<u>Find QT next</u>
- QS/QT = cos 42°
- QT = QS / cos 42° = 23.4 / cos 42° = 31.5 (rounded)
Answer:
Step-by-step explanation:
( g o h)(x) = g(h(x)) = g(3x) = 1/(3x+2)
( g o h)(x) exisit for 3x+2 ≠ 0
x ≠ -2/3
so the domain is : D = ]-∞:-2/3[ U] -2/3;+∞[