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vivado [14]
3 years ago
15

Don't know where to start , please show steps if you do it!

Mathematics
2 answers:
Nutka1998 [239]3 years ago
6 0

Answer:

Step-by-step explanation:

\frac{EF}{DF} =sin~26\\EF=DF *sin~26\\=4.5*0.44\\\approx ~1.98

Tems11 [23]3 years ago
3 0

Answer: The length of EF is 1.98

Step-by-step explanation:

Looking at the right angle triangle DEF,

The hypotenuse is DF = 4.5

The adjacent side is DE

The opposite side is EF

The reference angle,# is 26 degrees.

To determine the length of EF, we would apply trigonometric ratio,

Sin# = opposite side/hypotenuse

Sin# is chosen because it contains the side that we want to determine and the given side. It becomes

Sin 26 = EF/4.5

Cross multiplying,

EF = 4.5Sin26 = 4.5 × 0.44 = 1.98

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In general the binomial expansion is


(a+b)^n = {n \choose 0} a^0 b^n + {n \choose 1} a^1 b^{n-1} + {n \choose 2} a^2 b^{n-2} + ... + {n \choose n} a^n b^0


So in our case, because we want ascending powers of x we'll write,


(-3x + 1)^{11} =  {11 \choose 0} (-3x)^0 1^{11} + {11 \choose 1} (-3x)^{1} 1^{10} + {11 \choose 2} (-3x)^{2} 1^9  + {11 \choose 3 } (-3x)^3 1^8 + ...


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6 0
3 years ago
Alex wrote 103.903 in expanded form as 100+3 x 1+9 x 1/100 +3 x 1/1000. Explain his mistake then tell how to correct it.
Damm [24]
Your mistake was in this part  9 x 1/100 . After the decimal point the place value starts with tenths so you should write 9 x 1/10 .

Place values

Before the decimal point

3 ones = 3 x 1

0 tens = 0 x 10

1 hundreds = 1 x 100

After the decimal point

9 tenths = 9 x 1/10

0 hundredths = 0 x 1/100

3 thousandths= 3 x 1/1000

1 x 100 + 0 x 10 + 3 x 1 + 9 x 1/10 + 0 x 1/100 + 3 x 1/1000

  100     +    0     +   3    +    0.9      +     0        +    0.003

           100         + 3      +          0.9                +     0.003 =  103.903

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