Answer: the perimeter of the shape is 19.1
Step-by-step explanation:
To determine the length of each side of the quadrilateral, we would apply Pythagoras theorem which is expressed as
Hypotenuse² = opposite side² + adjacent side
For line AD,
AD² = 2² + 4² = 4 + 16 = 20
AD = √20 = 4.47
For line AB,
AB² = 1² + 5² = 1 + 25 = 26
AB = √26 = 5.1
For line BC,
BC² = 2² + 4² = 4 + 16 = 20
BC = √20 = 4.47
For line CD,
CD² = 1² + 5² = 1 + 25 = 26
CD = √26 = 5.1
The perimeter of a plane figure is the distance around the figure. Therefore
Perimeter = AB + AB + BC + CD
Perimeter = 4.47 + 5.1 + 4.47 + 5.1 =
19.1
It’s B actually :) hope this helps
Answer:
Coefficient of determination = 0.149769
Step-by-step explanation:
We are given the following in the question:
Coefficient of correlation, r = -0.387
We have to find the coefficient of determination.
Coefficient of determination =
Coefficient of determination:
- It tells us about the variation explained in the model.
- This correlation of determination tells that 14.98% of the variation is explained in the model that is we can say that the independent variable explains 14.98% changes or prediction in the dependent variable.
- It ranges from 0 to 1 and a correlation of determination of 1 means that the dependent variable is 100% predicted by the independent variable.
- Correlation of determination of 0 means that the dependent variable cannot be predicted by the independent variable.
Answer:
Step-by-step explanation:
Base of the isosceles triangle = 4
Perpendicular of the triangle = 3
In an isosceles triangle , a perpendicular bisects a base equally. So, here the isosceles triangle consist of 2 right angled triangles.
In that right angled triangles,
Base = 4/2 = 2 (∵ A perpendicular divides a base into 2 equal parts. )
Perpendicular = 3
Hypotenuse = x
So , according to Pythagorean Theorem ,
Using all the values above into the formula gives :-