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Ivan
3 years ago
9

It takes 343 inches³ of water to fill an empty cube. If the sides of the cube were tripled, how much water would be needed to fi

ll the new cube?
Mathematics
1 answer:
pochemuha3 years ago
8 0
I believe it would be 9,261 inches of water to fill the new cube.


To find the maximum capacity of a cube you have to multiply s*s*s (each s stands for one of its sides)

The side length happens to be 7. 7 times 7 times 7 is 343. If we triple that length now it’ll be 21. Multiply 21 by 21 by 21 it’ll give you 9,261 inches
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<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.
 
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<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>
6 0
3 years ago
Read 2 more answers
Please help me! ASAP! WILL GIVE BRAINLIEST!!!
Lapatulllka [165]
1. Given
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7 0
2 years ago
X³ +8x² -11x -12<br><br> Synthetically divide to find all zeros?<br><br> PLz help
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4 0
2 years ago
I don’t understand the question and I can’t find anything in my notes to help
lara [203]

Step-by-step explanation:

The problem states that you have a linear function so expect your equation to have this form:

y = mx + b

where m is the slope and b is the y-intercept. You are also given two points: P1(5, 6) and P2(14, 60). Use these points to solve for the slope m.

m = (y2 - y1) / (x2 - x1) = (60 - 6)/(14 - 5)

= 54/9 = 6

So our equation now becomes

y = 6m + b

To solve for b, plug in the values of P1:

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Therefore, our equation is

y = 6m - 24

The rest of the points are

(8, 24)

(11, 42)

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2 years ago
Sharon wants to buy a shirt that costs $50. the sales tax is 5%. how much is the sales tax? what is her total cost for the shirt
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