Answer:

Step-by-step explanation:
Angles in a triangle add up to 180°


Angles in a straight line add up to 180°


Answer:
1/2
Step-by-step explanation:
1) the sample space is 1 through 6
2) numbers less than 4 on the number cube 1, 2, and 3 3#s
total amount of #s is 6
probability = numbers less than 4/total amount of #s:
3/6
1/2
Answer: the future value is $1748.4
Step-by-step explanation:
We would apply the formula for determining compound interest which is expressed as
A = P(1+r/n)^nt
Where
A = total amount in the account at the end of t years
r represents the interest rate.
n represents the periodic interval at which it was compounded.
P represents the principal or initial amount deposited
From the information given,
P = 1550
r = 4% = 4/100 = 0.04
n = 365 because it was compounded 365 times in a year.
t = 3 years
Therefore,.
A = 1550(1 + 0.04/365)^365 × 3
A = 1550(1+0.00011)^1095
A = 1550(1.00011)^1095
A = 1550 × 1.128
A = 1748.4
Answer:
25.7 feet
Step-by-step explanation:
We are solving a right angled triangle.
We are the Trigonometric function of Tangent
tan θ = Opposite side/Adjacent
Angle of Elevation = θ = 34°
Opposite side = Height
Adjacent = 30 feet
tan 34° = Opposite side/30 feet.
Opposite side = tan 34° × 30 feet
Opposite side = 20.235255505 feet
The height of the light house =
Opposite side(height) + Amelia's height
20.235255505 feet + 5.5 feet
= 25.735255505 feet
Approximately to the nearest tenth ≈ 25.7 feet
Answer:
the inverse is f
−
1
(
x
)
=
√
−
x
3
−
1
,
−
√
−
x
3
−
1
Step-by-step explanation: