First fold of a piece of paper produces two smaller pieces of paper
Second fold of the resulting pieces of paper produces 4 smaller pieces of paper.
Third fold of the resulting pieces of paper produces 8 smaller pieces of paper.
Thus, the five letter size pieces of paper folded three times produces 8 x 5 = 40 notes.
Thus, one notepad consists of 40 notes.
If someone wrote ten notes per day, then one notepad will last for 4 days.
Answer:
38.105
Step-by-step explanation:
The area of this triangle = 0.5 * b * c * sin(A)
= 0.5 * 11 * 8 *sin(60) sin(60) = 
= .866025...
= 0.5 * 11 * 8 * .866025
= 38.105
The expression which is not equivalent to the provided expression is expression number 1, x²(-4x+1)-2(3x-4).
<h3>What is the equivalent expression?</h3>
Equivalent expressions are the expression whose result is equal to the original expression, but the way of representation is different.
The expression given in the problem is
f(x)=-4x³+x²-6x+8
The option given as,
- (1) x² (-4x+1)-2(3x-4)
- (2) x(-4x²- x + 6) + 8
- (3) -4x³ + (x - 2)(x - 4)
- (4) -4(x³ - 2) + x(x - 6)
From the given expression, if we take out <em>x </em>from the first three terms, it looks like option 2.
f(x)=-4x³+x²-6x+8
f(x)=x(-4x²+x-6)+8
From the given expression, if the last three terms factored, it looks like option 3.
f(x)=-4x³+x²-6x+8
f(x)=-4x³+x^2-4x-2x+8
f(x)=-4x³+x(x-4)-2(x-4)
f(x)=-4x³+(x-4)(x-2)
Rearrange the given expression, and make it looks like option 4.
f(x)=-4x³+x²-6x+8
f(x)=-4x²+8+x²-6x
f(x)=-4(x³-2)+x(x-6)
Thus, the expression which is not equivalent to the provided expression is expression number 1, x²(-4x+1)-2(3x-4).
Learn more about the equivalent expression here;
brainly.com/question/2972832
#SPJ1
Answer:
3/1
Step-by-step explanation:
Using the similarity statement, ∠A corresponds with ∠D; ∠B corresponds with ∠E; and ∠C corresponds with ∠F.
The only angle of triangle DEF we have is ∠E, which is 7. This corresponds with ∠B; this makes the scale factor of ABC to DEF
21/7 = 3/1.
