Answer:
x = 12.35
Step-by-step explanation:
Tan(39) = 10/x
Tan(39) * x = 10
x = 10 / Tan(39)
<u>x = 12.35</u>
Hope this helps!
Answer:
334.4 m²
Step-by-step explanation:
The formula for the area of a sector is given as:
1/2 × r² × θ
Where θ = Central angle
Area of a Circle = 700 m²
The formula for the area of a circle = πr²
r = Radius of a circle
r² = Area / π
r = √Area / π
r = √700/π
r = 14.927053304 m
Approximately, r = 14.93 m
Therefore, the area of the sector
= 1/2 × r² × θ
= 1/2 × 14.93² × 3 rad
= 334.35735 m²
Approximately, Area of the sector = 334.4 m²
Total cost = 1.50 per bottle
y = 1.50x
If x = 1, y = $ 1.50 (1,1.5)
If x = 2, y = $ 3.00 (2,3)
If x = 3, y = $ 4.50 (3, 4.5)
If x = 4, y = $ 6.00 (4, 6)
There are your 4 sets of ordered pairs to graph.
You could continue with more x-values to get more ordered pairs.
Answer:
First Integer = n = 45
Second Integer = n+1 = 45 + 1 = 46
And Third Integer = n+ 2 = 45 +2 = 47
Step-by-step explanation:
Let First integer = n
Second Integer = n+1
Third Integer = n+2
According to the question given (If the first of three consecutive integers is subtracted from 138, the result is the sum of the second and third) the equation will be:
138 - n = (n+1) + (n+2)
Solving the equation:
138 - n = n+1+n+2
138 - n = 2n+3
138 - 3 =2n +n
135 = 3n
135/3 = n
=> n= 45
So, First Integer = n = 45
Second Integer = n+1 = 45 + 1 = 46
And Third Integer = n+ 2 = 45 +2 = 47