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Darya [45]
3 years ago
12

Find the greatest common factor of 10, 30, and 45.

Mathematics
2 answers:
kenny6666 [7]3 years ago
5 0
The gcf would be 5 because the they all have 5 in common <span />
JulsSmile [24]3 years ago
4 0
The answer is 5. asdf asdf sorry for extra characters
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Find the length of the short leg of a 30-60-90 triangle if the long leg is 3cm
antoniya [11.8K]

Answer:

Short leg = √3 cm

Step-by-step explanation:

the opposite angle of long leg is 60°

hypotenuse : x

sin 60° = 3/x = √3 / 2

x = (3 x 2) / √3 = 2√3

short leg length (s)

Cos 60° = 1/2 = s / x = s / 2√3

s = √3

7 0
3 years ago
A new health drink has 130​% of the recommended daily allowance​ (RDA) for a certain vitamin. The RDA for this vitamin is 50 mg.
Anika [276]
Answer:
58.5 mg

Step-by-step explanation:

Drink: 130% of RDA of vitamin X
RDA vitamin X = 45mg
130% of 45 = mg in the drink
130% = 130/100 = 1.3
130% of 45 = 1.3*45 = 58.5

So, this new drink has 58.5 mg of vitamin
4 0
3 years ago
How many feet are in 100 inches? Write your answer two ways: in feet and inches and in feet only
jolli1 [7]

Answer: 8 ft and 4 in, 8 1/3 ft

Step-by-step explanation:

100/12=50/6=25/3=8.3333333...

1/3 of a foot is 1/3x12 which is 12/3 which is 4 in.

3 0
4 years ago
How to explain why a trapezoid is a quadrilateral but a quadrilateral is not always a trapezoid
Alex787 [66]

A quadrilateral is any figure with 4 sides, no matter what the lengths of
the sides or the sizes of the angles are ... just as long as it has four straight
sides that meet and close it up.

Once you start imposing some special requirements on the lengths of
the sides,  or their relationship to each other, or the size of the angles,
you start making special kinds of quadrilaterals, that have special names.

The simplest requirement of all is that there must be one pair of sides that
are parallel to each other.  That makes a quadrilateral called a 'trapezoid'.
That's why a quadrilateral is not always a trapezoid.

Here are some other, more strict requirements, that make other special
quadrilaterals:

-- Two pairs of parallel sides . . . . 'parallelogram'

-- Two pairs of parallel sides
AND all angles the same size . . . . 'rectangle'
           (also a special kind of parallelogram)

-- Two pairs of parallel sides
AND all sides the same length . . . 'rhombus'
           (also a special kind of parallelogram)

-- Two pairs of parallel sides
AND all sides the same length
AND all angles the same size . . . . 'square'.
           (also a special kind of parallelogram, rectangle, and rhombus)


5 0
3 years ago
Evaluate 1/3m-1-1/2n when m=21 and n=12​
siniylev [52]
The answer is 0, 1/3 of 21 is 7, 7-1=6, 1/2 of 12= 6, and 6-6=0. Hope this helps!
4 0
3 years ago
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