Answer:
No, this isn't a right triangle.
Step-by-step explanation:
First of all, the hypotenuse is the longest side (in this case that is 50), so that's what we're working for.
The formula for the Pythagorean theorem is :
14 squared equals 196, and 28 squared equals 784. Add these and you get 980. The square root of 980 is not 50, so we know that this is not a right tryangle.
<span>Standard deviation is the square root of variance. Variance is always a non-negative number, since you can't take the square root of a negative number. So neither can be negative </span>
Answer: (18/5) * 11
Step-by-step explanation:
In equations of proportion, to proceed, we need to determine the constant of proportion, let's denote as "k"
Since y ~ x
Means y=kx.
To determine the value of k, we input initial values of y and x.
Initial value of y = 18
Initial value of x = 5
The equation becomes :
18 = 5k
k = 18/5.
Now, If given the value of x as 11,to determine the value of y we go back to the equation.
y= kx
y = 18/5 * 11.
Answer:
Total weight = 70.5 kg
Step-by-step explanation:
Rectangular frame is made from 5 straight pieces of metal. One of them goes through the diagonal of the rectangle.
2 pieces form the length of the rectangular frame, hence, they have a length of 12 m each
2 pieces from the width of the rectangular frame, hence, they a length of 5 m each
To find the length of the diagonal, we can use Pythagoras Theorem:
Hypotenuse² = Base² + Perpendicular²
Hypotenuse² = 5² + 12²
Hypotenuse² = 169²
Hypotenuse = 13
Hence, the length of the piece of metal placed at the diagonal is 13cm
Find the sum of all lengths of the metal pieces.
Total length = 12 + 12 + 5 + 5 + 13
Total length = 47 m
Total weight = 1.5 × Total length
Total weight = 1.5 kg/m × 47m
Total weight = 70.5 kg
Justin still needs to make 48 illustrations.
