The sum of two variables having the same units is given by adding the magnitudes of the quantities and expressing the outcome in the units of the quantities
Daemon's speed is (v + 45) mi/h
The reason the above value for Daemon's speed is correct is as follows:
The known parameters are;
The speed with which Bill was travelling = v mi/h
The speed with which Daemon was travelling = 45 mi/h faster than Bill
Method:
By dimensional analysis, we note that the given quantities have the same units, and therefore, they represent the same quantity of speed
To find Daemon's speed, the amount by which his speed is more than that of Bill's speed is added to the given amount of Bill's speed as follows;
Solution:
Daemon's speed = v mi/h + 45 mi/h = (v + 45) mi/h
Learn more about variable addition here:
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Answer:
47.6m.
Step by step solution:
Perimeter of a triangle = base + 2 . length____(1)
Area of a triangle = 1/2 . base . diagonal
108 = 1/2 . base . 15
multiplying both sides by 2:
216 = 15 . base
dividing both sides by 15:
base = 14.4m
But the diagonal divides the triangle into two
right angle triangles each with the same length (hypotenuse),base and diagonal(height).
Taking one right angle triangle:
And using pythagoras theorem;
length² = base² + diagonal ²
length² = 7.2² + 15²
Note: Base of each right angle triangle is 7.2 which would sum up to be 14.4 the base of the full triangle.
length² = 276.84
taking the square root of both sides:
length = 16.6m
Putting the values of the base and length into equation (1).
Perimeter of the triangle = 14.4 + 2 . 16.6
Note: We are dealing with the whole triangle
now hence the base is 14.4m.
Perimeter of the triangle = 14.4 + 33.2 = 47.6m.
When squaring fractions, both the numerator and the denominator are squared:
12. (4/5)² = 16/25
13. (-5/12)² = 25/144
14. (13/6)² = 169/36
You would plug in 4 for x.
f(4)= (4) - 6 = -2
Answer:
.005
Step-by-step explanation:
