Answer:
x = 7
Step-by-step explanation:
We can tell by looking at this triangle that this is a <u>45 45 90 triangle.</u>
In this situation, the hypotenuse is 
and the legs are both 
.So if we look at the hypotenuse, we can tell that x, or the leg of the triangle, is 7.
45 45 90 triangles: This is a special triangle in which the angles of the triangle are 45 45 and 90 degrees. This means that the hypotenuse will be and the legs of the triangle will be . You can usually use the Pythagorean theorem to solve the missing sides.
Answer:
k = 48
For x = 6, y = 8.
Step-by-step explanation:
The general equation for inverse variation is
y = k/x
We are told that y = 24 when x = 2, so we plug in those two values in the general equation to find the value of k.
24 = k/2
k = 24 * 2 = 48
Now that we know k = 48, the equation for our case is
y = 48/x
Now we plug in x = 6 and find y.
y = 48/x
y = 48/6
y = 8
To find the diameter of a circle, using only the circumference, you need to divide the circumference by π, or 3.14.
So in this case, you must divide 12 by 3.14, which gives you 3.82.
I even double checked this, and should be correct then.
9514 1404 393
Answer:
(b) √65
Step-by-step explanation:
The modulus of a complex number is the root of the sum of the squares of the real and imaginary parts.
|1 -8i| = √(1² +(-8)²) = √(1+64) = √65
