We begin with 1,000 fish in a lake.
Each year the population declines to 15%
Then they put back 500 fish in the lake.

The equation: (1000 * .85) +500

4 0

2 years ago

The hypotenuse of a right triangle measures 10 inches, and the side opposite to ∠θ, one of the non-right angles, is 5 inches lon

NISA [10]

The measure of angle theta is 30 degrees.

This is a 30-60-90 triangle where the short leg is half that of the hypotenuse. The short leg is opposite the smallest angle 30 degrees.

You can use trig to find that
sin(angle) = opposite/hypotenuse
sin(theta) = 5/10
sin(theta) = 0.5
theta = arcsin(0.5)
theta = 30 degrees

7 0

2 years ago

The plans for a new ammusement park were laid out on the first quadrant of a coordinate plane. The entrance to the roller coaste

Solnce55 [7]

The first step is to determine the distance between the points, (1,1) and (7,9)

We would find this distance by applying the formula shown below

$\begin{gathered} \text{Distance = }\sqrt[]{(x2-x1)^2+(y2-y1)^2} \\ \text{From the graph, } \\ x1\text{ = 1, y1 = 1} \\ x2\text{ = 7, y2 = 9} \\ \text{Distance = }\sqrt[]{(7-1)^2+(9-1)^2} \\ \text{Distance = }\sqrt[]{6^2+8^2}\text{ = }\sqrt[]{100} \\ \text{Distance = 10} \end{gathered}$

Distance = 10 units

If one unit is 70 meters, then the distance between both entrances is

70 * 10 = 700 meters

4 0

8 months ago