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Vaselesa [24]
3 years ago
8

Find the GCF of 6fgh^2, 3f^2h, 12g^2h.

Mathematics
1 answer:
Mariulka [41]3 years ago
8 0
The gcf are (8) (2) and (18)
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Find the value of each variable
aniked [119]

Answer:

Answer d)

a= 10*\sqrt{3} b=5*\sqrt{3}, c=15, and d=5

Step-by-step explanation:

Notice that there are basically two right angle triangles to examine: a smaller one in size on the right and a larger one on the left, and both share side "b".

So we proceed to find the value of "b" by noticing that it the side "opposite side to angle 60 degrees" in the triangle of the right (the one with hypotenuse = 10). So we can use the sine function to find its value:

b=10*sin(60^o)= 10*\frac{\sqrt{3} }{2} = 5*\sqrt{3}

where we use the fact that the sine of 60 degrees can be written as: \frac{\sqrt{3} }{2}

We can also find the value of "d" in that same small triangle, using the cosine function of 60 degrees:

d=10*cos(60^o)=10* \frac{1}{2} = 5

In order to find the value of side "a", we use the right angle triangle on the left, noticing that "a" s the hypotenuse of that triangle, and our (now known) side "b" is the opposite to the 30 degree angle. We use here the definition of sine of an angle as the quotient between the opposite side and the hypotenuse:

sin(30^o)= \frac{b}{a} \\a=\frac{b}{sin(30)} \\a=\frac{5*\sqrt{3} }{\frac{1}{2} } \\a= 10*\sqrt{3}

where we used the value of the sine function of 30 degrees as one half: \frac{1}{2}

Finally, we can find the value of the fourth unknown: "c", by using the cos of 30 degrees and the now known value of the hypotenuse in that left triangle:

c=10*\sqrt{3} * cos(30^o)=10*\sqrt{3} *\frac{\sqrt{3} }{2} \\c= 5*3=15

Therefore, our answer agrees with the values shown in option d)

6 0
3 years ago
The perimeter of a rectangular field is 324 yards. If the length of the field is 91 yards, what is its width?
nekit [7.7K]
I think its 71. I'm not completely sure because from what ive learned it would be that.
8 0
3 years ago
5 x 1/7 <br><br><br> The question
JulijaS [17]
As a fraction the answer is: 5/7
6 0
3 years ago
Read 2 more answers
What is 113.097335529 in terms of pi
V125BC [204]
36\pi
You would take 113.087335529 and divide by pi
6 0
3 years ago
What is the difference between 4x and x4? evaluate both of these expressions when x = 2
riadik2000 [5.3K]

Answer:

There is no difference. 4x and x4 are both meaning 4 times x and x times 4

Step-by-step explanation:

If x = 2, then 4 x 2 = 8.

x4 is the same thing

2 x 4 =  8

Note:

When the numbers are there together, without an operation, it means multiplication.

7 0
3 years ago
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