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Ne4ueva [31]
3 years ago
14

A right rectangular container is 10 cm wide and 24 cm long and contains water to a depth of 14cm. A stone is placed in the water

and the water rises 3.4 cm. Find the volume of the stone.
Please and thank you!
Mathematics
2 answers:
Simora [160]3 years ago
4 0

Answer:

1356cm3

Step-by-step explanation:

when the stone is dropped in to the water the new height is 17.4cm(14+3.4)

find the volume when the height is 14cm and when the height is 17.4cm

24*14*17.4=4716

24*14*14=3360

then subtract the two volumes

4716-3360=1356cm3

BartSMP [9]3 years ago
3 0

Answer:

816 cm^3

Step-by-step explanation:

First you want to find the volume of the container with the stone, and then without the stone.

The formula for finding the volume of a rectangular container is V= l x w x h

We substitue in:

With stone:

V= 24cm x 10 cm x (14+3.4 cm)

V= 4,176 cm^3

Without stone:

V= 24 cm x 10 cm x 14 cm

V= 3,360 cm^3

Then, you want to subtract the two volumes to get the stone by itself.

4,176 - 3,360= 816 cm^3

Hope this helps!

PS- I think the answer above me got their numbers mixed up, but they had the right idea.

 

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olga_2 [115]

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2. Yes

∆ABC ~ ∆PQR

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3. Yes

∆STU ~ ∆JPM

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4. Yes

∆DJK ~ ∆PZR

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5. Yes

∆RTU ~ ∆STL

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5. Yes

∆JKL ~ ∆XYW

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6. No

7. Yes

∆BEF ~ ∆NML

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8. Yes

∆GHI ~ ∆QRS

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9. x=22

10. x=12

Step-by-step explanation:

1. RS/WS=ST/SX and m<RST=m<WSX

2. AB/PQ=8/6=4/3

BC/QR=AC/PR=12/9=4/3

AB/PQ=BC/QR=AC/PR

3. ST/JP=10/15=2/3

SU/JM=14/21=2/3

ST/JP=2/3=SU/JM

and m<TSU=70°=m<PJM

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DK/PR=2=JK/ZR

and m<DKJ=65°=m<PRZ

5. RT/ST=UT/LT

and m<RTU=m<STL

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7. BF/NL=24/16=3/2

BE/NM=39/26=3/2

BF/NL=3/2=BE/NM

and m<EBF=m<MNL

8. GH/QR=32/20=8/5

HI/RS=40/25=8/5

GI/QS=24/15=8/5

GH/QR=HI/RS=GI/QS=8/5

9. x/33=18/27

Simplifying the fraction on the right side of the equation:

x/33=2/3

Solving for x: Multiplying both sides of the equation by 33:

33(x/33)=33(2/3)

x=11(2)

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10. x/16=9/12

Simplifying the fraction on the right side of the equation:

x/16=3/4

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16(x/16)=16(3/4)

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4 0
3 years ago
Oof this is probably really simple to most of y'all but I'm out of it.
Lelechka [254]

Answers:

  • angle1 = 156 degrees
  • angle2 = 24 degrees

=======================================================

Explanation:

The two angles form a straight line, which is 180 degrees

Add up the angle expressions and set the sum equal to 180.

(angle1) + (angle2) = 180

(4x) + (x-15) = 180

(4x+x)-15 = 180

5x-15 = 180

5x = 180+15

5x = 195

x = 195/5

x = 39

We use that x value to find each missing angle

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  • angle2 = x-15 = 39-15 = 24 degrees

Then notice how angle1+angle2 = 156+24 = 180 to verify the answer.

Side note: Angles that add to 180 are considered supplementary.

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