The answer to the question is 23.5
X=7 because 7+6=13 and 3•13=39
Hey!
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Formula:
![=\sqrt{(x2 - x1)^2 + (y2 - y1)^2}](https://tex.z-dn.net/?f=%3D%5Csqrt%7B%28x2%20-%20x1%29%5E2%20%2B%20%28y2%20-%20y1%29%5E2%7D)
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Solution:
![=\sqrt{(3 - 0)^2 + (2 - (-8))^2}](https://tex.z-dn.net/?f=%3D%5Csqrt%7B%283%20-%200%29%5E2%20%2B%20%282%20-%20%28-8%29%29%5E2%7D)
![=\sqrt{(3)^2 + (10)^2}](https://tex.z-dn.net/?f=%3D%5Csqrt%7B%283%29%5E2%20%2B%20%2810%29%5E2%7D)
![=\sqrt{9 + 100}\\](https://tex.z-dn.net/?f=%3D%5Csqrt%7B9%20%2B%20100%7D%5C%5C)
![=\sqrt{109}](https://tex.z-dn.net/?f=%3D%5Csqrt%7B109%7D)
≈ 10.44
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Answer:
10.44
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Hope This Helped! Good Luck!
Hello! :)
The sum of the number of dogs and cats.
Cats= 6
Dogs= d
It is asking for the sum. (the number added together)
d+6 or "C" is the correct answer.
~'Manda
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)