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Ymorist [56]
3 years ago
15

Find the volume of the square pyramid, given its slant height​

Mathematics
1 answer:
Reptile [31]3 years ago
7 0

Answer:

Step-by-step explanation:

base length b = 32 cm

slant height L = 30 cm

 

height h = √(L²-(½b)²)

= √(30²-0.25·32²)

≅ 25.3771550809 cm

 

volume V = (⅓)b²h

= (⅓)32²·25.38

≅ 8662.07 cm³

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Fourteen hours after a convict escapes from prison, a guard begins to pursue him. If the convict travels at eight mph on foot an
algol13

9514 1404 393

Answer:

  128 miles

Step-by-step explanation:

The convict has a head start of ...

  distance = speed × time

  distance = (8 mi/h) × (14 h) = 112 mi

That distance is being closed at a rate that is the difference between the speeds, so ...

  64 mi/h -8 mi/h = 56 mi/h

The time it takes the guards to catch the convict will be ...

  time = distance/speed

  time = (112 mi)/(56 mi/h) = 2 h

The guards and prisoner will be at a distance from the prison of ...

  distance = speed × time

  distance = (64 mi/h)(2 h) = 128 mi

The convict will be caught 128 miles from the prison.

__

<em>Check</em>

The convict will run an additional (8 mi/h)(2 h) = 16 mi after the guards start pursuit. That, in addition to the 112 miles already run, will total 112+16=128 miles, the same distance the guards travel in that 2 hours.

8 0
3 years ago
Solve (x - 5)2 = 3.<br> A. x = 5 + 1/3<br> B. X=-5313<br> C. x = 8 and x = -2<br> D. X = 3 + -15
Luden [163]

Answer:

none of the above, x=13/2

Step-by-step explanation:

(x-5)2= 3

2x_10=3

2x=13

x=13/2

5 0
3 years ago
What was the answer to the example: (9/2 converted to a mixed number is:)
miskamm [114]

Answer:

9/2

2+2+2+2=8

9-8=1

2 can go into 9 four whole times

4 1/2

Step-by-step explanation:

4 0
3 years ago
Which is one way to check 102÷6 = 17? A) 105÷10 = 10 .5 B) 17÷6 = 102 C) 100÷5 = 20 D) 100×5 = 500
Karolina [17]
Was there a typo in the possible answers by any chance? B is closest to the possible answer, but only if the division sign was a multiplication sign.
102 <span>÷ 6 = 17
102 </span><span>÷ 17 = 6
17 x 6 = 102
6 x 17 = 102</span>
8 0
4 years ago
What number has the same value as 12 tens
torisob [31]
If one ten is ten then just simply multiply 12*10 and its 120 which can be equal to one hundred and two tens
3 0
3 years ago
Read 2 more answers
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