Answer:
An equilateral triangle is a triangle in which all three sides are equal. An equilateral triangle is also equiangular, in which all three internal angles are also congruent to each other and are each 60°.
Parallelogram and rhombus possibly.
Trapezoid.
Answer:
170 children
74 students
85 adults
Step-by-step explanation:
Given
Let:
For the capacity, we have:
For the tickets sold, we have:
Half as many as adults are children implies that:
Required
Solve for A, C and S
The equations to solve are:
-- (1)
-- (2)
-- (3)
Make C the subject in (3)
Substitute in (1) and (2)
-- (1)
Make S the subject
-- (2)
Substitute
Solve for A
Recall that:
Recall that:
Hence, the result is:
Answer:
See Below.
Step-by-step explanation:
We want to show that the function:
Increases for all values of <em>x</em>.
A function is increasing whenever its derivative is positive.
So, find the derivative of our function:
Differentiate:
Simplify:
Since eˣ is always greater than zero and e⁻ˣ is also always greater than zero, f'(x) is always positive. Hence, the original function increases for all values of <em>x.</em>