The ladder and the outside wall form a right triangle
The length of the ladder is 97.8 feet
<h3>How to determine the
length of the
ladder?</h3>
The given parameters are:
Distance (B) = 22 feet
Angle of elevation (θ) = 77 degrees
The length (L) of the ladder is calculated using the following cosine ratio
cos(θ) = B/L
So, we have:
cos(77) = 22/L
Make L the subject
L = 22/cos(77)
Evaluate the product
L = 97.8
Hence, the length of the ladder is 97.8 feet
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The monthly cost will be $17.14
Step-by-step explanation:
Given that the monthly cost (in dollars) of a long-distance phone plan is a linear function of the total calling time (in minutes) then this can be presented in a table form as;
<u>Time in minutes (x)</u> <u>Cost in dollars (y)</u>
50 $12.55
102 $ 17.23
Take the values as ordered pairs to represent coordinates for points that satisfy the linear function
(50,12.55) and (102,17.23)
Finding the slope of the graph using these points
slope,m=Δy/Δx
m=Δy=17.23-12.55 =4.68
Δx=102-50=52
m=4.68/52 =0.09
Finding the equation of the linear function using m=0.09, and point (50,12.55)
m=Δy/Δx
0.09=y-12.55/x-50
0.09(x-50)=y-12.55
0.09x-4.5=y-12.55
0.09x-4.5+12.55=y
y=0.09x+8.05
So for 101 minutes , the cost will be;
y=0.09*101 +8.05
y=9.09+8.05 = $17.14
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Linear functions : brainly.com/question/11052356
Keyword : linear function
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Answer:
25% annual interest rate
Step-by-step explanation:
$1600 ÷ $6400 = 0.25 aka 25%
Answer:
2/8 = 3/11 = 4/17 = 5/20
Step-by-step explanation:
For the table the length is increasing by 3 so if with a width of 2 it has a length of 8 inches, with a width on 3 it will have a length of 11 inches, with a width of 3 it will have a length of 14 inches, with a width of 4 it will have a length of 17 inches, and with a length of 20 the width will be 5. It is increasing by 3 since 20 - 8 = 12 and 12/4 = 3. For the ratio it would be 2/8 = 3/11 = 4/17 = 5/20