Answer:
<u>Longer leg = 5 feet</u>
<u>Shorter leg ≅ 2.89 feet</u>
<u>Hypotenuse ≅ 5.78 feet</u>
Step-by-step explanation:
Let's recall that this is a special type of triangle where the three angles measure 30 degrees, 60 degrees, and 90 degrees. The ratio of the sides is 1: √3 :2. That is to say, the hypotenuse is twice as long as the shorter leg, and the longer leg is the square root of 3 times the shorter leg.
Upon saying that, we can find the length of the legs of the triangle given:
Longer leg = 5 feet
Shorter leg * √3 = 5
Shorter leg = 5/√3 = 5√3/3 ≅ 2.89 feet
Hypotenuse = 2 * Shorter leg
Hypotenuse = 10√3/3 ≅ 5.78 feet
Answer:
84
Step-by-step explanation:
12*5=60
4*6=24
60+24=84
We know, 4/2 = 2
& 4/4 = 1
So, 4/2 > 4/4
In short, Your Final Answer would be Option C
Hope this helps!
Answer:
x = 2±sqrt(11)
Step-by-step explanation:
x^2 -4x - 7 =0
Add 7 to each side
x^2 -4x -7+7 =0+7
x^2 -4x =7
To complete the square take the coefficient of the x term and divide by 2 and then square it. Add it to both sides
-4 /2 = -2 then square
(-2)^2 = 4
Add 4 to both sides
x^2 -4x+4 =7+4
x^2 -4x+4 = 11
Factor the left side into (x-b/2)^2
(x-2)^2 =11
Take the square root of each side
sqrt((x-2)^2) =±sqrt(11)
x-2 = ±sqrt(11)
Add to to each side
x-2+2 = 2±sqrt(11)
x = 2±sqrt(11)
Answer:
x=722/69
Step-by-step explanation:
