I think i’m may be ‘B’ i’m so sorry if i’m incorrect!!
Answer:
x = 58
Step-by-step explanation:
Angle Formed by Two Secants
= 1/2(difference of Intercepted Arcs)
51 =1/2 (160-x)
Multiply each side by 2
102 = 160-x
Subtract 160 from each side
102-160 = -x
-58 = -x
Multiply by -1
58 =x
Answer:
2.
sinα=√3/(2√7)
cosα=5/(2√7)
tanα=5/√3
cscα=(2√7)/√3
secα=(2√7)/5
*note* you can simplify the above further (by rationalizing them), but I think it's probably fine to leave them as is *
3.) g15.9
4.)25.4
5.) 70.8
6.) 36.4
Step-by-step explanation:
Cot is the inverse of toa so cot= adj/opp
This means the traingle's adjacent side is √3 and its opposite is 5
with this information let's figure out the hypotonouse
√3²+5²=c²
3+25=c²
28=c²
√28=c
√28=2√7
which means the triangle's
opposite= √3
hypotonous= 2√7
Adjacent= 5
With all of this we can just plug in the numbers to find the missing information (where α=angle or theta)
sinα=√3/(2√7)
cosα=5/(2√7)
tanα=5/√3
cscα=(2√7)/√3
secα=(2√7)/5
For this one we have the adjacent and need the opposite
we will use TOA
Tan(25)=x/34
34tan(25)=x
x=15.9
4.) For this one we have the adjacent but need the hypotonouse
we will use CAH
cos(48)=17/x
17/cos(48)=x
x=25.4
5.) for number 5 we have the oppsite and hypotonouse and so we'll use SOH
sin(α)=17/18
α=70.8
6.) For this one we have the opposite and adjacent and so we'll use TOA
Tan(α)=(31/42)
α=36.4
-4, -2, -1, -0.8, 0.8, 3, 10
Answer:
C - 52
Step-by-step explanation:
z = 12 x = 2
(You do indices first!)
2 x 2 x 2 = 8
8 x 5 = 40
12 + 40 = 52
I hope this helps, have a good day! :D
