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Alona [7]
3 years ago
6

To estimate your average monthly salary, divide your salary by the number of months in a year. Write and solve an equation to de

termine your yearly salary when your average monthly salary is 4560 dollars
Mathematics
1 answer:
Ivahew [28]3 years ago
6 0

Answer:

yearly salary is $55,800

Step-by-step explanation:

$4,560 x 12= 55,800

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2 times the square root of 27 minus the square root of 48
lyudmila [28]
2 \sqrt{27}- \sqrt{48}=2 \sqrt{9*3}- \sqrt{16*3} =2*3 \sqrt{3}- 4 \sqrt{3}=6 \sqrt{3}-4 \sqrt{3} = \\ =2 \sqrt{3}
5 0
3 years ago
What is the length and width of the rectangle if the area is 72 squre meters?
cupoosta [38]

Answer:

sorry

Step-by-step explanation:

5 0
3 years ago
A blue jay lives in a nest that is 12 meters high in a tree the blue jay flies 15 meters to get from its nest to a flower on the
Ivan

Answer:

The distance between the base of the tree and the flower is 9m

Step-by-step explanation:

Here, we have to paint a picture.

The flower is on the ground, the height of the tree is 12m.

The distance from the nest to the flower on the floor is 15m

Indisputably, what we have is a right angled triangle, with the height being 12m, the length of the hypotenuse being 15 and we are asked to calculate the adjacent which represents the distance from the base of the tree to the flower

To get this distance, we simply apply the Pythagoras’ theorem which states that the square of the hypotenuse(longest side of the triangle) is equal to the sum of the squares of the other two sides.

Thus mathematically, we know that our hypotenuse is 15m and the height is 12m

The length we are to calculate is the adjacent and it is equal to;

15^2 - 12^2

= 225 - 144

= 81

The length is thus

√(81) = 9m

Please check attachment for a diagrammatic picture of the triangle

8 0
3 years ago
Please show your work and explain it.
Maru [420]

Answer:

f(x)=\dfrac{x+2}{2(x-2)}

Step-by-step explanation:

Remember when you divide fractions, you need to get the reciprocal of the divisor and multiply. So your first simplification would be:

\dfrac{x^2+4x+4}{x^2-6x+8}\div\dfrac{6x+12}{3x-12}\\\\=\dfrac{x^2+4x+4}{x^2-6x+8}\times\dfrac{3x-12}{6x+12}\\\\=\dfrac{(x^2+4x+4)(3x-12)}{(x^2-6x+8)(6x+12)}

Next we factor what we can so we can further simplify the rest of the equation:

=\dfrac{(x^2+4x+4)(3x-12)}{(x^2-6x+8)(6x+12)}\\\\=\dfrac{(x+2)(x+2)(3x-12)}{(x^2-6x+8)(6(x+2))}\\\\

We can now cancel out (x+2)

=\dfrac{(x+2)(3x-12)}{(x^2-6x+8)(6)}

Next we factor out even more:

=\dfrac{(x+2)(3)(x-4)}{(x-2)(x-4)(6)}

We cancel out x-4 and reduce the 3 and 6 into simpler terms:

=\dfrac{(x+2)(1)}{(x-2)(2)}

And we can now simplify it to:

=\dfrac{x+2}{2(x-2)}

6 0
4 years ago
If a building is 1,065 feet tall. Starting from a height of 60 feet , windows 15 feet tall are used on the outside of the buildi
sleet_krkn [62]

1,065 - 60 = 1,005

1,005 / 15 = 67 windows

60ft is 4 windows

7 0
3 years ago
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