Answer:
B) Hypotenuse = Leg ∙ √2
Step-by-step explanation:
This is a well-known ratio in the 45-45-90 right triangle, but we can derive it.
An isosceles right triangle has two congruent legs forming the right angle and the hypotenuse opposite the right angle. The Pythagorean theorem works since it is a right angle.
Normally, the legs are a and b, and the hypotenuse is c, and we have
a^2 + b^2 = c^2
Here the legs are congruent, so we have a = b.
Substituting a for b, we have
a^2 + a^2 = c^2
2a^2 = c^2
c^2 = 2a^2
c = a√2
Answer: B) Hypotenuse = Leg ∙ √2
Answer:
43.96 inches
Step-by-step explanation:
The formula for finding circumference is: 3.14*d(diameter). So if you plug in the 14 in the equation, you get 3.14*14 which is what I did to get the answer.
Hope this helped, mark brainliest and thanks! Have an awesome day! ;D
Answer: g(-3) is 9 .
Step-by-step explanation:
So there are two functions and the first function says that to get the solution x has to be greater than 4 and -3 which is the input is not greater than 4 so you can't use that function to solve for g(-3).
using the second function , it says that x has to be less or equal to 4. And -3 is indeed less than 4 so you have to use the second function to solve for g(-3)
g(x) = -2x + 3 Input -3 and solve
g(-3) = -2(-3) + 3
g(-3) = 6 + 3
g(-3) = 9
Implicit differentiation
take the deritivive with respect to x
first
y+2=(1/2)(x^2)-2sin(y)
take deritivitive
dy/dx+0=1/2(2x)-2(cosy)dy/dx
dy/dx=x-2cosy(dy/dx)
add 2cosy(dy/dx) to both sides
dy/dx+2cosy(dy/dx) =x
undistribute dy/dx
dy/dx(1+2cos(y))=x
divide both sides by 1+2cos(y)

at (2,0)
x=2
y=0




the slope is 2/3
Let

be the mean of

. Then

For a random variable

following the standard normal distribution, we have

Transform the random variable to get this critical value in terms of

: