Any decimal number that is repeating can be written in the form <span>
</span> with b not equal to zero, so they are rational numbers.
The short answer is
yes, 0.6 repeating is a rational number.
Hope this helped :)
The total cost for the entire life span of the deep fryer is computed below:
Brand P total cost =Purchase price + total electricity cost
= $144+($0.49x8x12x6)
=$426.24
Brand Q total cost =(Purchase price x 3)+ total electricity cost
=( $37.5x3)+($0.75x 8x12x6)
= $544.5
Difference = Brand Q-Brand P
=$544.5-$426.24
=$118.26
Robert will have to choose Brand P because it will be cheaper by $118.26 than Brand Q in their entire lifetime.
Answer:
Step-by-step explanation:
2 + m
Rewrite with variable first.
m + 2
m + 2
Can’t be simplified further.
m - (-2)
Distribute negative sign.
m + 2
-2-m
Rewrite with variable first.
-m - 2
The last expression is not equivalent to m+2.
Looking at this problem in the book, I'm guessing that you've been
introduced to a little bit of trigonometry. Or at least you've seen the
definitions of the trig functions of angles.
Do you remember the definition of either the sine or the cosine of an angle ?
In a right triangle, the sine of an acute angle is (opposite side) / (hypotenuse),
and the cosine of an acute angle is (adjacent side) / (hypotenuse).
Maybe you could use one of these to solve this problem, but first you'd need to
make sure that this is a right triangle.
Let's see . . . all three angles in any triangle always add up to 180 degrees.
We know two of the angles in this triangle ... 39 and 51 degrees.
How many degrees are left over for the third angle ?
180 - (39 + 51) = 180 - (90) = 90 degrees for the third angle.
It's a right triangle ! yay ! We can use sine or cosine if we want to.
Let's use the 51° angle.
The cosine of any angle is (adjacent side) / (hypotenuse) .
'BC' is the side adjacent to the 51° angle in the picture,
and the hypotenuse is 27 .
cosine(51°) = (side BC) / 27
Multiply each side of that equation by 27 :
Side-BC = (27) times cosine(51°)
Look up the cosine of 51° in a book or on your calculator.
Cosine(51°) = 0.62932 (rounded)
<u>Side BC</u> = (27) x (0.62932) = <u>16.992</u> (rounded)
============================================
You could just as easily have used the sine of 39° .
That would be (opposite side) / (hypotenuse) ... also (side-BC) / 27 .
Answer:
3.5 (meters per second)
Step-by-step explanation:
To calculate the slope, we need two points. Let's see if we can select two points from the graph.
From the graph, we can pick out two possible points.
At the beginning, (0,2.5) is a valid candidate.
And at the end, with (5,20). Thus, let's use the slope formula to calculate the slope.
The slope formula is:
Let (0,2.5) be x₁ and y₁ and let (5,20) be x₂ and y₂. Thus:
Simplify:
Thus, the slope is 3.5 meters per second.
Further notes:
And the entire equation will be:
