She has 47 total
20 are from Europe
some are from Africa,
and some from Asia
how many from Africa? hmm let's say "a"
how many from Asia? hmm let's say "b"
we know that, she has twice as many "a" as she has "b" stamps,
so, whatever "b" is, a = 2 * b, or a = 2b
so.. let us add them together
solve for "b", to see how many from Asia she has
what's "a"? well, a = 2b , that's how many African ones she has :)
Answer: time to reach maximum height = 605
Step-by-step explanation:
The expression that relates height with time is
M(d)=-0.123x^2+148.83x-21.07
Where time = x
d = height
The expression is a quadratic equation. If height of the object is plotted against time, the resulting graph is a parabola whose vertex is equal to the maximum height attained by the object. The time, x corresponding to the vertex is the time for it to reach maximum height.
To find x,
x = -b/2a
Where a= 0.123
b = 148.83
x = - 148.83 / -2 × -0.123
x = -148.83 / -0.246
= 605
Substituting x = 605 in the equation,
M(d)=-0.123x^2+148.83x-21.07
d = -0.123 × 605^2 + 148.83×605
= - 45021.075+ 90042.15
= 45020.4
Approximately 45000 feet
Answer:
8.8584073464
Step-by-step explanation:
area of the rectangle is 12
area of the circle is just pie
subtract the two and you get 8.8584073464
Answer:
AB ≈ 14.3
Step-by-step explanation:
We're given <em>two sides </em>(BC and CA) and an <em>angle </em>(C)<em> between them</em>; the <em>law of cosines </em>is a good tool for calculating the third side of the triangle here. To remind you, the law of cosines tells us the relationship between the sides of a triangle with side lengths a, b, and c:
Where C is the angle between sides a and b. c is typically the side we're trying to find, so on our triangle, we have
Substituting these values into the law of cosines:
Answer:
x = 0
Step-by-step explanation:
Take out common factor
The factor inside the parenthesis cannot be factored
Since there is a common factor that we pulled out of the original equation,
set that x equal to zero and solve
: Therefore x = 0
