See the attached image for the drawings of the 45-45-90 triangle and the 30-60-90 triangle.
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For the 45-45-90 triangle, the two legs are both 3 while the hypotenuse is unknown. Call it x for now.
Using trig we can say
sin(angle) = opposite/hypotenuse
sin(A) = BC/AC
sin(45) = 3/x
sqrt(2)/2 = 3/x
sqrt(2)*x = 2*3
sqrt(2)*x = 6
x = 6/sqrt(2)
x = (6/sqrt(2))*(sqrt(2)/sqrt(2))
x = (6*sqrt(2)/(sqrt(2)*sqrt(2))
x = (6*sqrt(2)/(2)
x = 3*sqrt(2)where "sqrt" is shorthand for "square root"
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For the 30-60-90 triangle, we can say
cos(angle) = adjacent/hypotenuse
cos(D) = DE/FD
cos(60) = 4/y
1/2 = 4/y
1*y = 4*2
y = 8and we can also say
sin(angle) = opposite/hypotenuse
sin(D) = EF/FD
sin(60) = z/y
sin(60) = z/8
8*sin(60) = z
z = 8*sin(60)
z = 8*sqrt(3)/2
z = (8/2)*sqrt(3)
z = 4*sqrt(3)
Answer:
x=-20
Step-by-step explanation:
3x-11=4x+9
3x=4x+20
x+20=0
x=-20
Is is actually quite easy if you think about it! The formula for finding the area of a circle is:
Area= pi x r2
Or in this case, Pi (3.14) x the radius squared.
In the picture above, the radius (Half of the diameter) is 3 units.
3x3 = 9
Now all that is left is to multiply it by pi!
9 x 3.14 = 28.26
So the answer is 28.26, or C! Hope this helped :)!
Answer:
20 stickers
Step-by-step explanation:
sine she gave 20 to core one and wants to give the same amount to core two, she'd just give both core one and two 20 and then be left with 10
I believe its the third line correct me if im worng