Answer:
x=12, y=
Step-by-step explanation:
Please see attached picture for full solution.
sinθ= opp/hyp
cosθ= adj/hyp
Answer:
3069
Step-by-step explanation:
q=6/3=2
s10=3(2^10-1)÷(2-1)=3×(1024-1)=
3069
because sn=a1(q^n-1)/(q-1)
Amanda Billy
1st week 10 5
2nd week 20 10
3rd week 30 20
4th week 40 40
<span>
A) Amanda's method is linear because the number of minutes increased by an equal number every week.</span>
common difference is 10.
1st week 0 + 10 = 10
2nd week 10 + 10 = 20
3rd week 20 + 10 = 30
4th week 30 + 10 = 40
Billy's method is exponential:
5(2)^x
1st week 5(2⁰) = 5(1) = 5
2nd week 5(2¹) = 5(2) = 10
3rd week 5(2²) = 5(4) = 20
4th week 5(2³) = 5(8) = 40
Answer:
28. 120 degrees
29. 30 degrees
30. 56 degrees & 124 degrees
31. 72 degrees, 108 degrees, and 18 degrees
Step-by-step explanation:
We assign variable x for the answer we are looking for (28-29).
28.
Supplement means x + y = 180 degrees. We also know x = 2y. Substitution gives us 3y = 180 degrees, so y = 60 degrees and x = 120 degrees.
29.
Complement means x + y = 90 degrees. We are given 2x = y. Substitution brings us 3x = 90 degrees, x = 30 degrees.
30.
Supplement means x + y = 180 degrees. We are told that y = 2x + 12, so we substitute. This gives 3x + 12 = 180 degrees, x = 56 degrees. Substituting that back into the equation for y, we get 124 degrees.
31.
Supplement means x + y = 180 degrees. Complement means x + z = 90 degrees. Using our given info, we know y = 6z. We can substitute that in to get x + 6z = 180. Subtracting our second and third equations, we get 5z = 90, z = 18 degrees. Therefore, x = 72 degrees, y = 108 degrees.
Answer:
x = −3 and x = −2
Step-by-step explanation:
x^2 + 5x = −6
Add 6 to each side
x^2 + 5x+6 = −6+6
x^2 +5x+6 =0
Factor
What 2 number multiply to 6 and add to 5
3*2 =6
3+2 =5
(x+3)(x+2) =0
Using the zero product property
x+3 =0 x+2 =0
x+3-3=0-3 x+2-2=0-2
x=-3 x=-2
