Answer:
x ≥ 4 AND x + y ≤ 10
Step-by-step explanation:
If you need up to 10 volunteers, then you can take 10 or less. If we add y and x, we'll get the total amount of people, therefore making the inequality:
x + y ≤ 10.
Now, he needs no fewer than 4 females, so he can take 4 or greater. This means that x should be greater than or equal to 4.
x ≥ 4.
Nothing was mentioned about how many males he needed (y) so these two inequalities match the situation.
Hope this helped!
Answer:
1 km is 0.621371 mile
Step-by-step explanation:
There are 1.609344 kilometers in 1 mile. To convert from miles to kilometers, multiply your figure by 1.609344 (or divide by 0.62137119223733) .
You would multiply the sales regular price by the percent and then subtract your answer from the regular sale price. For example, if something cost $499 and the sales price was 15% off, you would multiply 499 by 0.15 and then you would get 74.85.
Answer:
4
Step-by-step explanation:
f(x) (8x² - 3x + 1) / (2x² + 2x +3)
the first thing I did was to graph the function to see if there was a horizonal asymptote using Desmos graphing calculator and there was and it was 4
you want to take the limit as x approaches infinity
essentially lim(x to ∞) of f(x) = 8x²/ 2x² is the dominate terms
lim(x to ∞) of f(x) = 8 / 2
lim(x to ∞) of f(x) = 4
The ladder, leaning against the building, forms a right triangle with height "a" being the distance from the ground to the window, and hypotenuse "c" being the length of the ladder.
Because it's a right triangle, we can use trigonometric ratios to find the angles we're missing.
For part A), to solve for the angle between the base of the ladder and the ground, you'll want to use sine, because we know the lengths of the opposite side and the hypotenuse.
Sin(x) = a/c , solve for angle x in degrees or radians.
For part B), finding the angle between the top of the ladder and the building, remember that the sum of the angles in a triangle is 180 degrees, or pi radians, depending on which unit your teacher prefers.
Assuming degrees, we can say that angle y = 180-90-x. You are simply subtracting the two known angles to find the third.
For part C) use the Pythagorean theorem. You're looking for the length of the base, "b". Recall:
a^2 + b^2 = c^2
Plug in the known values, and solve for b.
