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LUCKY_DIMON [66]
3 years ago
6

Question is in picture below

Mathematics
1 answer:
Solnce55 [7]3 years ago
8 0

find \: lengh \: bc \: because \: find \: the \: base \: area \:  \\ bc = ad \\ from \: ac = 15mm \\ ab = 12mm \\ from Pythagoras \:  {c}^{2}  =  {a}^{2}  +  {b}^{2}  \\ is \:  {(ac)}^{2}  =  {(bc)}^{2}  +  {(ab)}^{2}  \\ 15 ^{2}  =  {(bc)}^{2}  +  {12}^{2}  \\  {(bc)}^{2}  = 15^{2}  -  {12}^{2}  \\ bc =  \sqrt{{15}^{2} -  {12}^{2}  } \\ bc =  \sqrt{225 - 144}  \\ bc =  \sqrt{81}  \\ bc =  9 \: or \:  - 9 \\ bc = 9 \\ base \: area \:  = bc \:  \times  \: ab \\  = 9 \times 12 = 108 {mm}^{2}  \\ volume \: pyramid \:  =  \:  \frac{1}{3}  \times base \: area \times hight \\  =  \frac{1}{3}  \times 108 {mm}^{2}  \times 13mm \\  = 468 {mm}^{3}

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By rounding to 1 significant figure , estimate <br><br> 40.73 x 1.06<br><br> Anyone know?
suter [353]

ANSWER: 40

EXPLANATION:

1) 40.73 to 1 significant figure = 40.

2) 1.06 to 1 significant figure = 1.

3) Therefore, we just multiply 40 by 1, which equals 40.

FURTHER EXPLANATION (IF NEEDED):

With significant figures, whole numbers such as 10, 20, 50 etc. have 1 significant figure. This is because the 0 does not count as a significant figure.

With decimals, all numbers after the decimal point are also included as significant figures (even 0). E.g. 40.73 has 4 significant figures and 1.06 has 3 significant figures.

EXAMPLES (IF NEEDED):

Rounding to 2 significant figures:

  • 40.73 = 42
  • 1.06 = 1.1

Rounding to 3 significant figures:

  • 40.73 = 40.7
  • 1.06 = 1.06 (because it's already in 3 significant figures)

Rounding to 4 significant figures:

  • 40.73 = 40.73 (already in 4 significant figures)
  • 1.06 = 1.060 (0 is counted as a significant figure if there is a decimal or another number comes after that 0)

E.g. 1006 has 4 sig figs, while 1060 would have 3 sig figs because the last 0 is not counted as a significant figure. 10.60 would have 4 sig figs because of the decimal.

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Step-by-step explanation:

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One way to describe the U.S. dollar if the foreign exchange rate between the U.S dollar and British pound changed from 1:1 to 1:07 is the dollar has weakened. The correct answer is C. 
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