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ikadub [295]
3 years ago
11

What are 6 7ths of 56

Mathematics
1 answer:
babunello [35]3 years ago
5 0
56 divided by 7 = 8
8 multiplied by 6
=48
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The square of one number is 23 less than the square of a second number. If the second number is 1 more than the first, what are
konstantin123 [22]

Answer:

Step-by-step explanation:

The numbers are 11 & 12

Explanation:

Let the first number be f and the second |number be s

Now the square of first No. is 23 less than the square of second No.

ie.  f 2 + 23 = s 2 . . . . . (1)

The second No. is 1 more than the first

ie  f + 1 = s  . . . . . . . . . . .(2)

squaring (2), we get

( f + 1 ) 2 = s 2

expanding

f 2 + 2 ⋅ f + 1 = s 2  . . . . . (3)

Now (3) - (1) gives

2 ⋅ f − 22 = 0

or  

2 ⋅ f = 22

thus,  f = 22 2 = 11

and  s = f + 1 = 11 + 1

=

12

So the numbers are 11 & 12

4 0
3 years ago
Would you classify 196 as a perfect​ square, perfect​ cube, both, or​ neither?
Olegator [25]
196 is a perfect square
4 0
3 years ago
Evaluate each expression for s=4 and t=8<br> 1) (25)^2t<br> 2) 2st^2-5^2<br> 3) 2s^2-t^3/16
stepladder [879]

Answer:

<u>1.</u> 2.328×10^{22}

<u>2.</u> 487

<u>3.</u> 30.52  OR  0 (see explanation↓)

Step-by-step explanation:

<u>1.</u>(25)^{2t}

(sub for t=8)

=25^{2*8}

=25^{16}

=2.328×10^{22}

<u>2.</u>2st^{2} -5^{2}

(sub for s=4 and t=8)

=2×4×8^{2}-5^{2}

=512-25

=487

<u>3.</u>2s^{2} -t^{3/16} (the equation is not clear so I will do 2s^{2} -\frac{t^{3} }{16} as well)

<u>FOR</u> 2s^{2} -t^{3/16}

(sub s=4 and t=8)

=2×4^{2}-8^{3/16}

=32-1.476826146

=30.52 (to the nearest 2 decimal place)

<u>FOR</u> 2s^{2} -\frac{t^{3} }{16}

(sub s=4 and t=8)

=2×4^{2}-\frac{8^{3} }{16}

=32-32

=0

5 0
3 years ago
Plz solve and explain work this has to do with the Pythagorean theorem :)
xxMikexx [17]

Answer:

258.07 miles apart

Step-by-step explanation:

After 3 hours, 1st train is 70 *3 =210 miles North. The 2nd train will be 50*3 =150 miles East.

The distance apart is sqrt(210^2 +150^2)  

= SQRT(44100+22500)

= 258.07 miles apart

7 0
3 years ago
Hayden bought a necklace with a gemstone in the shape of a triangular prism. The base is an equilateral triangle measuring 2 cen
Tresset [83]

Answer:78

Step-by-step explanation:

6 0
2 years ago
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