Find the perimeter of quadrilateral (-1, 2) (2, 8), (6, 8) (3, 2). Round answer to nearest hundredth. 2 decimal places.
1 answer:
Answer:
21.42
Step-by-step explanation:
The length of the diagonal sides of this parallelogram are given by the distance formula:
d = √((x2-x1)^2 +(y2 -y1)^2) = √((2-(-1))^2 +(8-2)^2) = √(3^2 +6^2) = 3√5
Of course, the lengths of the horizontal segments are given by the difference in their x-coordinates: 3-(-1) = 4. As with any parallelogram, the perimeter is twice the sum of adjacent side lengths:
P = 2(d +4) = 2(3√5 +4) = 8 +6√5 ≈ 21.4164
P ≈ 21.42 units
The perimeter is about 21.42 units.
You might be interested in
Answer:
not factorable
Step-by-step explanation:
The easiest way to factor is to find two numbers of the "a" value (the coefficient before ) and the factors of the c value (10) that ADD up to give you -9, in this case it would be:
1 -10 --> 1(-10) gives you -10
1 -1 --> 1(-1) gives you -1
adding these together -10 + (-1) = -11 which does not equal -9.
You could stop here and conclude that this is not factorable by inspection.
Another method: using the quadratic formula to find its roots.
Roots: and
Answer:
The base of the ladder is 2.58 m.
Step-by-step explanation:
Given that,
The angle of elevation for a ladder from the ground is 75°.
The length of a ladder, H = 10 foot
We need to find the distance from the house should you place the base of the latter. Let the base of the ladder is b. Using trigonometry,
So, the base of the ladder is 2.58 m.