Answer:
600 books
Step-by-step explanation:
The bin's dimensions are
5 by 2 by 3
THe volume of the bin is the multiplication of the 3 dimensions given.
Volume of Bin = 5 * 2 * 3 = 30 cubic feet
Now, volume of each book would be gotten the same way. The dimensions of one book is:
1 by 0.5 by 0.1
Volume of 1 book = 1 * 0.5 * 0.1 = 0.05 cubic feet
The number of books that will fit in the bin would be:
30/0.05 = 600 books
<span>1) We are given that PA = PB, so PA ≅ PB by the definition of the radius.
</span>When you draw a perpendicular to a segment AB, you take the compass, point it at A and draw an arc of size AB, then you do the same pointing the compass on B. Point P will be one of the intersections of those two arcs. Therefore PA and PB correspond to the radii of the arcs, which were taken both equal to AB, therefore they are congruent.
2) We know that angles PCA and PCB are right angles by the definition of perpendicular.
Perpendicularity is the relation between two lines that meet at a right angle. Since we know that PC is perpendicular to AB by construction, ∠PCA and ∠PCB are right angles.
3) PC ≅ PC by the reflexive property congruence.
The reflexive property congruence states that any shape is congruent to itself.
4) So, triangle ACP is congruent to triangle BCP by HL, and AC ≅ BC by CPCTC (corresponding parts of congruent triangles are congruent).
CPCTC states that if two triangles are congruent, then all of the corresponding sides and angles are congruent. Since ΔACP ≡ ΔBCP, then the corresponding sides AC and BC are congruent.
5) Since PC is perpendicular to and bisects AB, P is on the perpendicular bisector of AB by the definition of the perpendicular bisector.
<span>The perpendicular bisector of a segment is a line that cuts the segment into two equal parts (bisector) and that forms with the segment a right angle (perpendicular). Any point on the perpendicular bisector has the same distance from the segment's extremities. PC has exactly the characteristics of a perpendicular bisector of AB. </span>
Answer:
x=21/4
Step-by-step explanation:
1. combine like terms
-4+-7= -11 3x-2x=x
2. subtract x
5x-11=x+10
4x-11=10
3. add 11
4x=21
4. divide 21 by 4 = 21/4
46.75 - 0.10(46.75) = 46.75 - 4.675 = 42.075 rounds to 42.08
ur simply taking ur discounted price of $ 46.75 and subtracting 10% of 46.75....leaving u with a final price of 42.08
Answer:
The single decimal multiplier that I will use to increase by 15% followed by a 14% increase is 1.311
Step-by-step explanation:
Let
x ----> the number
Remember that
we know that
Increase a number by 15% followed by a 14% increase is the same that multiply the number for (1.15)(1.14)
so
therefore
The single decimal multiplier that I will use to increase by 15% followed by a 14% increase is 1.311
