Answer:the fraction of Mary's garden that has tulips is 2/3
Step-by-step explanation:
Let x represent the full area if Mary's garden.
Mary plants roses in 1/4 of her garden. This means that the portion of the garden on which she planted roses would be 1/4 × x = x/4
She also plants some tulips in her garden. She has 1/12 of the garden left to plant more flowers. This means that the portion if the garden that she has left to plant more flowers would be 1/12 × x = x/12
The portion of the garden on which she planted tulips would be
x - (x/4 + x/12) = x - (3x + x)/12 = x - 4x/12
x - x/3 = (3x - x)/3 = 2x/3
Therefore, the fraction of Mary's garden that has tulips would be
(2x/3) /x = 2/3
Answer————————-triangle 3
Hope this helps!!
Answer:
B. 
Step-by-step explanation:
To find the inverse of a function/equation:
- Replace f(x) with y: y=5x+4
- Switch x and y: x=5y+4
- Solve for y: x-4=5y ->

- Write in standard inverse notation:

I hope this helps!!
gl!
Hey there :)
Here we need to use Trigonometry!
The given
angle is
61°The
opposite to the angle is
22 So
x is the
adjacent
The trigonometric ratio that uses opposite and adjacent is tan
( I have uploaded a picture to help you )
tan α =

tan 61 =

adj =

adj ≈ 12.19 ≈ 12
x = 12
Answer:
feet
Step-by-step explanation:
In a 30-60-90 triangle, the ratios of the side lengths of the triangle is 
Where 1 is the shortest leg, root(3) is the longer leg, and 2 is the hypotenuse.
First we can set x equals to the length of the original pole, and so the shorter leg has a length of x/3 and using the ratio of side lengths, we can find that:

Solving for x, we find that

So the length of the original pole would be
feet
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