Answer:
km
Step-by-step explanation:
The submarine's path from its base forms a right triangle when its final position is "connected" to the base. We know that the right triangle has legs of km and km, and we need to find the length of its hypotenuse. To do so, we can use the Pythagorean Theorem, which states that in a right triangle, , where and are the lengths of the triangle's legs and is the length of the triangle's hypotenuse. In this case, we know what and are, and we need to solve for c, so after substituting the given values of and into to solve for c, we get:
(Substitute and into the equation)
(Evaluate the squares on the LHS)
(Simplify the LHS)
(Symmetric Property of Equality)
(Take the square root of both sides of the equation)
(Simplify)
is an extraneous solution because you can't have negative distance, if that makes sense, so therefore, the submarine is approximately km away from its base. Hope this helps!
Let width = x
let length = 2x
x + 2x = 450
3x = 450
x = 150
width = 150
length = 2x = 2 (150) = 300
(x - 8)^2 = 144
take the sq rt of both sides
x - 8 = 12
x = 12 + 8
x = 20
20 feet by 20 feet
Answer:
Part a) The area of the swimming pool is
Part b) The total area of the swimming pool and the playground is
Step-by-step explanation:
Part a) Find the area of the swimming pool
we know that
The area of the swimming pool is
where
L is the length side
W is the width side
we have
substitute the values
therefore
The area of the swimming pool is
Part b) The area of the playground is one and a half times that of the swimming pool. Find the total area of the swimming pool and the playground
we know that
To obtain the area of the playground multiply the area of the swimming pool by one and a half
To obtain the total area of the swimming pool and the playground, adds the area of the swimming pool and the area of the playground
so
therefore
The total area of the swimming pool and the playground is