The user corrected that the scale of a drawing of a park reads: 5 miles to 1 cm , and we know that the park measures 1,600 square meters (user insisted that this measure is given in square meters and not square miles).
So we have to convert the 1600 square meters into miles, knowing that 1 meter is the same as: 0.000621371 miles
then meters square will be equivalents to:
1 m^2 = (0.000621371 mi)^2
then 1600 m^2 = 0.00061776 mi^2
now, since 5 miles are represented by 1 cm, then 25 square miles will be represented by 1 square cm
and therefore 0.00061776 square miles will be the equivalent to:
0.00061776 / 25 cm^2 = 0.000024710 cm^2
So and incredibly small number of square cm.
I still believe that some of the information you gave me are not in meters but in miles. (For example, the park may not be in square meters but in squared miles). The park seems to have the size of a house according to the info.
Answer:
D
Step-by-step explanation:
The arcsine (
) function of x is defined as the inverse sine function of x when -1≤x≤1.
So, when

we have that

This gives us the domain
of the function 
The range of the function
is
so the range of the function
is the same (options A and C are false).
When x=-4,

So, option B is false and option D is true.
Answer:
C. 10
Step-by-step explanation:
we know that
The height of an isosceles triangle divide the triangle into two equal right triangles.
so
Applying the Pythagorean Theorem at one triangle

solve for x


solve the quadratic equation by graphing
using a graphing tool
The solution is x=5
see the attached figure
therefore
The length of the base is

Answer:
2. The y-intercept is 33 ft. The ball is 33 feet away from the wall.
3. It will take the ball 11 seconds to touch the wall.
4. The slope is -3 ft. The ball is rolling toward the wall at 3 ft per second
Step-by-step explanation:
Let x be the number of seconds.
We are told that a ball is rolling at a rate of 3 ft per second toward a wall that is 33 feet away.
Since the ball is rolling towards wall at a rate of 3 ft per second. This means that remaining distance between wall and ball is decreasing 3 ft with each passing second. Hence, the slope of our line will be negative 3 ft.
As initially ball was 33 feet away from wall, so our y-intercept will be 33.
Upon substituting our values in slope-intercept form of equation we will get equation of our line representing remaining distance between ball and wall after x seconds as:
Let us find the number of seconds that ball will take to touch the wall by finding the x-intercept of our line. Since x-intercept is the point when line crosses x-axis and at this point y equals 0. The x-Intercept of a line is obtained by putting the value of y as zero in the equation of a line.





Therefore, after 11 seconds ball will touch the wall.
Upon looking at our choices we can see that 2nd, 3rd and 4th options are correct choices.