Answer:
60
Step-by-step explanation:
13*24=60
formula is b*h/2 so
im trash :3
Factoring by grouping usually pairs up the first 2 sets of expressions with the second 2 sets. Ours looks like this, then:
. If we factor out the common x-squared in the first set of parenthesis, along with factoring out the common 5 in the second set, we get this:
. Now the common expression that can be factored out is the (x-9). When we do that, here's what it looks like:
. I'm not sure how far you are going with this. You could set each of those equal to 0 and solve for x in each case. The first one is easy. If x - 9 = 0, then x = 9. The second one involves the imaginary i since x^2 = -5. In that case,
. Hopefully, in what I have given you, you can find what you're looking for.
Answer:
<em>The maximum area of the second board must be 
square inches.</em>
Step-by-step explanation:
The total area of two different size boards cannot exceed 
square inches.
The area of one board is 
square inches.
Suppose, the area of the second board is 
square inches.
That means......
So, the maximum area of the second board must be square inches.
Answer:
Yes, they are equal in the values (in radians):
π/4, 5π/4
If cos(x) and sin(x) are defined to you as nonnegative functions (in terms of lengths), then 3π/4 and 7π/4 are also included
Step-by-step explanation:
Remember that odd multiples of 45° are special angles, with the same sine and cosine values (you can prove this, for example, by considering a right triangle with an angle of 45° and hypotenuse with length 1, and finding the trigonometric ratios).
The radian measure of 45° corresponds to π/4, hence the odd multiples on the interval [0, 2π) are π/4, 3π/4, 5π/4, 7π/4.
If you define sin(x) and cos(x) using the cartesian coordinate system (via unit circle), then cos(3π/4)=-sin(3π/4) and cos(7π/4)=-sin(7π/4). In this case, only π/4 and 5π/4 are valid choices.
Answer with explanation:
The Given Inequality is
|x-4|<9
Modulus of a number yields always a positive value.
→|x-4|= x-4, when, x-4≥0
That is , x≥4.
= -(x-4), when, x-4<0
means, x<4.
it can be Written as
→ -9<x-4<9
→ -9+4 < x -4+4 < 9+4
→ -5<x<13
→x∈(-5,13)
