<span>When you multiply a positive integer by a positive integer then the result must be a Positive Integer.
Hope this helps!
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Answer:
the maximum number of crates that can be stacked between the floor and ceiling
where 1 foot = 12 inches. SO the answer is that a maximum of 10 crates can be stacked from floor to ceiling.
Step-by-step explanation:
i) the maximum number of crates that can be stacked between the floor and ceiling
where 1 foot = 12 inches
Answer:
Step-by-step explanation:
Keep in mind that these three trig functions can be interpreted as being the ratios of the side lengths of a triangle:
opposite side
sin x = ----------------------
hypotenuse
adjacent side
cos x = ----------------------
hypotenuse
opposite side
tan x = ----------------------
adjacent side
In the case where you have a right triangle and know the lengths of two of its three sides, that knowledge dictates which of the above trig functions to use in "solving the triangle."
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If, for example, the "opposite side" of a triangle is 3 and the "hypotenuse" is 5, we'd choose to use the sine function to find the angle opposite the "opposite side:"
opposite side 3 units
sin x = ---------------------- = -------------
hypotenuse 5 units
Find x by using the inverse sine function:
Angle x = arcsin 3/5 = 0.644 radians or 36.9 degrees.
With the information given we can wirte down 2 different equations where:
x = How many Fictoon books there are
A nd y = How many non-fiction books there are :
#1) x + y = 312
( The total of the books is 312 )
#2) x = 11y
(He has 11 times as many firction books as he has non-ficton books)
Now what we need to do is to isolate one the variables ( x or y ) , get its value and apply to one the equations to get the other variable's value:
We can do that by the property of substitution:
If x = 11y
then x + y = (11y) + y = 12y
If x + y = 312
and x + y = 12y
then 12y = 312
Now with the equation 12y = 312 , we can isolate y by dividing both sides of the equation by 12 :
12/12y = 312/12
y = 26
What that means : Mark has 26 non-fictional books.
Now that we have the value of y , we can find the value of x by plugging y to one of the equations :
x + y = 312
or
x = 7y
( I will do both , but you dont need to )
x + y = 312
Plugin 26 for y :
x + 26 = 312
Shift 26 to the other side of the equation by subtracting both sides of the equation by 26:
x + 26 - 26 = 312 - 26
26 - 26 cancel out , so we end up with :
x = 286
Second Equation :
x = 11y
Plugin 26 for y:
x = 11 × 26
x = 286
Awnser : Mark has 286 fictoon books and 26 non-fiction !
I hope you understood my brief explanation. And please consider marking this awnser as Branliest. Thank you ! :)
