To find the length of the side opposite the angle while knowing the hypotenuse we can use the sine function:
sin(53) = (side opposite angle of 53 degrees) / hypotenuse
sin(53) = x / 24
x = 24 sin(53)
x = 19.16
Hope that helped
Think of absolute value and inverse operation, +72 to 72 and 24
Equation :
This parabola is facing downwards and highest point of the parabola is it's vertex.
Highest point is (-2,2)
so the vertex is (-2,2)
The graph is passing through (-1,0)
Equation in vertex form is


Substitute back in Equation

the graph has two x intercepts -1 and -3
that means (x+1) and (x+3) are the factors
multiply factors to get the equation in standard form

-2x^2-8x-6=0
Answer:
13
Step-by-step explanation:
You are given the function

To find the value of the function f(x) at point x=a, you have to substitute a instead of x into the function expression.
In your case, you have to evaluate f(x) when x=10. Substitute 10 instead of x into the function expression:

Answer:
the probability that the shipment is accepted is 0.8865
Step-by-step explanation:
Given the data in the question;
N = 86, n/d = 5 and n = 2
now, without replacement
the probability that the shipment is accepted will be;
probability that the shipment is accepted = probability that non is defectives
so p( non is defective ) = ( (86-5)/86) × ((86-5-1)/(86-1))
p( non is defective ) = ( 81 / 86) × (80/85)
p( non is defective ) = 0.8865
Therefore, the probability that the shipment is accepted is 0.8865