Answer:

Step-by-step explanation:
To write any decimal as a fraction you divide by 1 and multiply by a number (ranging from 10, 100, 1000 etc.) that will make 0.46 a whole number, this will explain:
Let x = 
10x = 
100x =
this is our perfect fraction, now we simplify later
100x - 10x = 
90x =
this is to confirm both fractions are equal
x is the same as
as
as
but here x =
because a fraction has to have no decimals.
So 0.46 is equal any of these values, as a fraction, on the other hand, it's improperly equal to
here I divided by 2 to bring down the proper fraction. (fraction at its simplest form)
<u><em>Answer:</em></u>
AC = 10sin(40°)
<u><em>Explanation:</em></u>
The diagram representing the question is shown in the attached image
Since the given triangle is a right-angled triangle, we can apply the special trig functions
<u>These functions are as follows:</u>
sin(θ) = opposite / hypotenuse
cos(θ) = adjacent / hypotenuse
tan(θ) = opposite / adjacent
<u>Now, in the given diagram:</u>
θ = 40°
AC is the side opposite to θ
AB = 10 in is the hypotenuse
<u>Based on these givens</u>, we will use the sin(θ) function
<u>Therefore:</u>

Answer:
$400 dollars in five dollar tickets then $399 dollars in seven dollar tickets.
so you do $400+$399=799
Step-by-step explanation:
You do $400÷5=80 then you do $395R4÷7=55 Then you do 55+80=$135.
so 55 adult tickets and then 80 student tickets.
Answer:
Third option

Step-by-step explanation:
In this case we must write a quadratic equation in the vertex form.
We have the vertice. (-1, 5)
We know that the vertex form for a quadratic equation is:
.
Where (h, k) is the vertex.
So if the vertex is (-1, 5), the equation sought is:


Therefore the answer is the Third option.
Answer:
42
Step-by-step explanation:
Area of a rectange = bh so 98=14x
98 divided by 14 = 7
Perimeter= 2x+2y
so 2x+2y -> 28+14=42