Answer:
Step-by-step explanation:
Recall that cos Ф = adj / hyp. If adj = 6 and hyp = 10, then by the Pythagorean Theorem, opp = 8: 6² + 8² = 10²
Then:
sin Ф = opp / hyp = 8/10 or 4/5
cos Ф is given: 6/10 or 3/5
tan Ф = opp / adj: 8/ 6 or 4/3
cot Ф = 1/sin Ф = 10/8 or 5/4
sec Ф = 1/ cosФ = 10/6 or 5/3
csc Ф = 1 / sin Ф = 10/8 or 5/4
Answer:
46 terms
Step-by-step explanation:
a₁=b, a₂₁= bₙ, d₁=9, d₂=4
n=?
---------------
a₂₁= a₁+20d₁= a₁+20*9= a₁+180
bₙ= b₁+(n-1)d₂= a₁+4(n-1)
a₁+4(n-1)=a₁+180
4(n-1)=180
n-1= 180/4
n-1= 45
n=46
Answer:
x = 7 is the answer for the smaller number
7 + 1 = 8 is the answer for the larger number
Step-by-step explanation:
LET x and x+1 be the two numbers here, as your hint suggests.
5x + 3(x+1) = 59
5x + 3x+3 = 59
8x = 59-3
8x = 56
/8 /8
--------------------------
x = 56/8 ---> x = 7
x = 7 is the answer for the smaller number
7 + 1 = 8 is the answer for the larger number
Check:
5 * 7 + 3 * 8 = 59
35 + 24 = 59
59 = 59 CORRECT
