Find the length of x plsss
1 answer:
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a) 62.855m
We will need to use the Pythagorean Theorem here, as we know a and c, but not b. I have attached an image of a triangle sketch to set up the problem, which should hopefully help us to visualize this problem a bit better.
Pythagorean Theorem: a^2 + b^2 = c^2
(19.8)^2 + b^2 = (65.9)^2
392.04 + b^2 = 4342.81
b^2 = 3950.77
b = 62.855 (rounded to 3 places)
b) m = 0.315
The gradient is also known as the slope. I've shown what the points would be in the image attached. Now that we know the value of b (x in the points in image), we can use points E and C to find the slope.
Point 1: (0,0)
Point 2: (62.855, 19.8)
m = (19.8 - 0) / (62.855 - 0)
m = 19.8 / 62.855
m = 0.315 (rounded to three places)
c) 17.485 degrees
The angle of inclination would be angle C. To find angle C, we will need to use an inverse trigonometry function. Any can be used since we know all of the side lengths, but I will show Sine here, opposite / hypotenuse.
sin(x) = 19.8 / 65.9
x = sin^-1 (19.8/65.9)
x = 17.485 degrees (rounded to 3 places)
Hope this helps!! :)
Answer:
The expression to determine the total cost in dollars is .
Step-by-step explanation:
Given:
Service charge to make a photo book = $20
Cost per extra page = $0.75
Cost to ship the complete photo book = $5
We need to write expression to determine the total cost in dollars.
Solution:
Let the number of extra pages be denoted by 'x'.
Also Let the Total cost be denoted by 'y'.
Now we can say that;
Total cost will be equal to sum of Service charge to make a photo book and Cost per extra page multiplied by number of extra pages and Cost to ship the complete photo book.
framing in equation form we get;
Hence the expression to determine the total cost in dollars is .