Can you guys fill in the blank and explain why

  1.188×10¹⁰ pounds of stone

Step-by-step explanation:

You apparently have ...

  (2.4×10⁶ stones)×(4.95×10³ lb/stone) = (2.4×4.95)×10⁶⁺³ lbs

  = 11.88×10⁹ lbs

  = 1.188×10¹⁰ lbs

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When I know the product of the mantissas will be more than 10, I like to make an adjustment to the exponents before doing the multiplication. Here, that could be ...

  total weight = (2.4×10⁶ stones)×(0.495×10⁴ lb/stone) = 1.188×10¹⁰

Of course, the applicable rule of exponents is ...

  (10^a)(10^b) = 10^(a+b)

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Moving the decimal point and adjusting the exponent accordingly should be no mystery. You want the value of the number to be the same, regardless of the form it is in.

  4.95 = 0.495×10

  11.88 = 1.188×10

Your calculator or spreadsheet will deal with numbers in scientific notation and will return their product in that format, if you choose.

step-by-step explanation:

given perimeter: 28cm

length: 9cm

atp,

2(l+w)=p of the reactangle

2(9+x)=28

18+2x=28

2x=28-18

x=10/2

x=5

therefore width is 5 cm

9) i can't see the angle so whatever it is just do this: cos(angle) x hypotenuse and then use that answer and they hypotenuse and plug it into this: (answer you just got)^2 + b^2 = (hypotenuse)^2. the first answer will be the answer of the adjacent side and the second answer after this equation will be the opposite side.

10) y = 14 x = √147 or 12.12435565

11) x = 4.8

12) x = 4.2

13) x = 9.3

14) pq: 13.2

qr : 17.6

angle p: 53º

15) angle c: 54.3º

angle a: 35.7º

16) h = 21040

v = 1841

step-by-step explanation:

10) 7/sin(30) = 14 = y

7^2 + b^2 = 14^2

49 + b^2 = 196

b^2 = 196 - 49

√b^2 = √147

x = √147

11) cos(70) x 14 = 4.788282007

x = 4.8

12) tan(25) x 9 = 4.196768923

x = 4.2

13) sin(31) x 18 = 9.270685348

x = 9.3

14) pq: sin(37) x 22 = 13.23993051

pq: 13.2

qr: cos(37) x 22 = 17.56998122

qr : 17.6

angle p: 180 - (37 + 90) = 53º

15) cos-1(7/12) = 54.31466529

angle c: 54.3º

angle a: 180 - (90 + 54.31466529) = 35.68533471

angle a: 35.7º

16) 4 x 5280 = 21120

cos(5) x 21120

h = 21039.63202

h = 21040

sin(5) x 21120

v = 1840.729287

v = 1841