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notsponge [240]
3 years ago
7

In a 30°-60°-90° triangle, what is the length of the longer leg when the length of the hypotenuse is 18 inches?

Mathematics
1 answer:
max2010maxim [7]3 years ago
8 0

Answer:

9sqrt(3) in.

Step-by-step explanation:

The ratio of the lengths of the sides of a 30-60-90 triangle is:

short leg : long leg : hypotenuse

      1        :   sqrt(3)  :          2

If the short leg measures 1, then the hypotenuse measures 2.

The length of the hypotenuse is twice the length of the short leg.

The length of the long leg is sqrt(3) times the length of the short leg.

If the hypotenuse measures 18 in., then the short leg measures 9 in.

Then the long leg measures 9sqrt(3) in.

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How to solve this showing all work ! Also explain why they aren’t polynomials if you can :)
Lesechka [4]

Polynomials are linear combinations of positive integer powers. For example,

x^{100}+30x^2-\sqrt 2\,x+21

is a polynomial, but

-x^{-1}-4x^\pi+x^{3/2}

is not.

(In case you're unfamiliar with the term, a linear combination of two quantities is the sum of scaled versions of those quantities, e.g. a general linear combination of a and b is k_1a+k_2b, where k_1,k_2 are any numbers.)

8x^2-18\sqrt x+5x-3 is not a polynomial; the offending term is -18\sqrt x, or -18x^{1/2}.

7 0
3 years ago
What is the width of a rectangle with length 5.5 cm and area 220 cm^2
Reika [66]
In the given question it is given that the length of the rectangle is 5.5 cm and the area of the rectangle is 220 cm^2.
Length of the rectangle = 5.5 cm
Area of the rectangle = 220 cm^2
Then we already know that
Area of a rectangle = Length * width
So Width of the rectangle = Area of the rectangle/ Length
                                           = 220/5.5
                                           = 2200/55
                                           = 40
So the width of the rectangle is 40 cm.<span>Hope  that you have got the answer you were looking for.

</span>


3 0
3 years ago
10kg 20kg 24kg ?kg plz answer this for me
luda_lava [24]

Answer:

27KG

Step-by-step explanation:

Mouse- M , Cat - C, Dog - D

M + C = 10 ----- (1)

M + D = 20 -------(2)

C + D = 24 --------(3)

(1) - (2) => C - D = -10 ---- (4)

(3) + (4) => 2C = 14

                => C = 7

Substitute C in (1)  => M + 7 = 10

                            => M = 3

Substitute M in (2) => 3 + D = 20

                            => D = 17

Therefore C + M + D = 7 + 3 + 17 = 27KG

3 0
3 years ago
-1/2(-3y+10) i need help solving this math problem
worty [1.4K]

Answer:

Step-by-step explanation:

7 0
3 years ago
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kirza4 [7]
That would be .82 as 82% is 82/100 so that makes the answer .82
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3 years ago
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