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:
<h2>
</h2>
Step-by-step explanation:
To find f(−1) , substitute the values of x that's - 1 into f(x). That is for every x in f(x) replace it with - 1
That's
We have the final answer as
Hope this helps you
Answer:
C.
Step-by-step explanation:
As the center is (-6, -8) the 2 factors on the left will be (x + 6) and (x + 8) so it's either A or C.
When x = 0 y = -8 so substituting we have:
(0 + 6)^2 + (-8 + 8)^2 = 36 + 0 = 36.
So it's choice C.
<em><u>Solution:</u></em>
Given that we have to find the sum of 
<em><u>Let us first convert the mixed fractions to improper fractions</u></em>
Multiply the whole number part by the fraction's denominator.
Add that to the numerator.
Then write the result on top of the denominator
Therefore,
Now we can add both the fractions
Make the denominators same
Now convert the fraction to mixed number
When we divide 53 by 10 , the remainder is 3
Therefore, write 5 as a whole number and and 3 as numerator and 10 as denominator
Thus the sum of given mixed fraction is 
A because it can’t be 100 and it can’t be 625 and it can’t be 50 so it has to be A
