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Basile [38]
3 years ago
15

5j+16−12(−9j−4)=12j show steps

Mathematics
1 answer:
Triss [41]3 years ago
7 0

Answer:  j = - 64 / 101

Step-by-step explanation:

5

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The answer is going to be 15

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Your family picked apples over the weekend. 1/8 of the apples picked were golden delicious and 1/4 were McIntosh. The remaining
SVEN [57.7K]

Answer:

5/8

Step-by-step explanation:

1/4=2/8

2/8+1/8=3/8

8/8-3/8=5/8

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3 years ago
Perform the following calculations. In each case, first estimate the solution without using a calculator and then do the calcula
kakasveta [241]

<u>Answer:</u>

<u>For a:</u> The answer is 2.3\times 10^1

<u>For b:</u> The answer is 8.0\times 10^{-6}

<u>For c:</u> The answer is 127.6

<u>For d:</u> The answer is 4.66\times 10^4

<u>Step-by-step explanation:</u>

Significant figures are defined as the figures in a number which express the value -the magnitude of a quantity to a specific degree of accuracy is known as significant digits.

<u>Rules for significant figures:</u>

  • Digits from 1 to 9 are always significant and have infinite number of significant figures.
  • All non-zero numbers are always significant. For example: 654, 6.54 and 65.4 all have three significant figures.
  • All zero’s between integers are always significant. For example: 5005, 5.005 and 50.05 all have four significant figures.
  • All zero’s preceding the first integers are never significant. For example: 0.0078 has two significant figures.
  • All zero’s after the decimal point are always significant. For example: 4.500, 45.00 and 450.0 all have four significant figures.
  • All zeroes used solely for spacing the decimal point are not significant. For example : 8000 has one significant figure.

<u>Rule applied for the addition and subtraction is:</u>

The least precise number present after the decimal point determines the number of significant figures in the answer.

<u>Rule applied for the multiplication and division is:</u>

The number of significant digits is taken from the value which has least precise significant digits.

For the given options:

  • <u>Option a:</u>  (2.7)(8.632)

The given problem is a multiplication one.

\Rightarrow (2.7\times 8.632)=23.3

Here, the least precise significant digits are 2. So, the answer is 2.3\times 10^1

  • <u>Option b:</u>  (3.600 x 10^-4) / 45

The given problem is a division one.

\Rightarrow \frac{(3.600\times 10^{-4})}{45}=0.08\times 10^{-4}

Here, the least precise significant digits are 2. So, the answer is 8.0\times 10^{-6}

  • <u>Option c:</u>  2.365 + 125.2

The given problem is an addition one.

\Rightarrow (2.365+125.2)=127.565

Here, the least precise significant digits after decimal is 1. So, the answer is 127.6

  • <u>Option d:</u>  (4.753 x 10^4) - (9 x 10^2)

The given problem is a subtraction one.

\Rightarrow (4.753\times 10^4)-(9\times 10^2)=(4.753\times 10^4)-(0.09\times 10^4)=4.663\times 10^4

Here, the least precise significant digits after decimal are 2. So, the answer is 4.66\times 10^4

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4 years ago
Please help me?
allochka39001 [22]
The area for a trapezoid is A = 1/2 h (base 1 + base 2).  You have the top base of 8.  But straight down underneath that is also a base of 8.  Next to that 8 you have a 4, so thus far you have a bottom base of 8 + 4.  But you're missing what's over on the left.  That base measure of that triangle is also 4, because the triangles are congruent.  So the whole bottom base is 4 + 8 + 4 = 16.  Now you have everything you need:  A = 1/2 (6) (8 + 16).  Do the addition inside the parenthesis first to get 24.  Now multiply that by 6 to get 144.  Now finally, divide that by 2 to get 72 cm^2
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The correct answers are B and D.

A is false because, even though it's true that 4 points are not necessarily on the same line, it is not required that they are collinear in order for them to be coplanar.

B is true: two points always lie on the same line (and thus also in infinite same planes), but four points are not always coplanar

C is false. As a counterexample pick the four points (0,0, 0), (1, 0, 0), (0, 1, 0), (0, 0, 1).

D is true: two points are always on the same line, three points always lie in a common plane, but 4 points are not necessarily coplanar.

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