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ira [324]
3 years ago
7

Simplify the expression. Write the answer using scientific notation. 0.3(8.2 x 10^-3)

Mathematics
1 answer:
olchik [2.2K]3 years ago
8 0

Answer:

0.3(8.2 x 10^-3) = 2.46 X 10 ^ -3

Step-by-step explanation:

We need to solve the equation 0.3(8.2 x 10^-3) and write answer in scientific notation.

Solving,

= 0.3(8.2 x 10^-3)

= 0.3 * 0.0082

= 0.00246

Writing in scientific notation

= 2.46 X 10 ^ -3

So, after solving the expression 0.3(8.2 x 10^-3) the result is 2.46 X 10 ^ -3.

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qaws [65]

Answer: 1.23×10¹⁶

Step-by-step explanation:

For this problem, we want to use order of operations to solve.

Parenthesis

Exponent

Multiply

Divide

Add

Subtract

Let's first solve the parenthesis.

(9*\frac{999999999}{9+9+9+9+9+9+9+9+9} )^2                [add denominator]

(9*\frac{999999999}{81} )^2                                  [cross multiply]

(\frac{999999999}{9} )^2                                       [divide]

(111111111)^2                                     [exponent]

1.23×10¹⁶

The ending result is way too large. Therefore, we use scientific notation and get 1.23×10¹⁶.

7 0
3 years ago
Given the diagram below, what is sin (30°) ?
marshall27 [118]

Answer:

A.  1/2.

Step-by-step explanation:

The ratio of the sides of a 30-60-90 triangle  is 2:1:√3   where  2 is the hypotenuse. 1 is the shortest leg and √3 is the longest leg.

In the diagram we see that the longest leg is opposite the 60 degree angle.

So the longest leg is 3.5√x and  the shortest leg ( from applying the ratios) = 3.5√x / √3.

and the hypotenuse is  2 *  3.5√x / √3    (using the ratios again).

So sin  30 = shortest leg / hypotenuse =  3.5√x / √3 /  2 *  3.5√x / √3

= 1/2.

7 0
4 years ago
Given: X is the midpoint of segment WZProve: WX = ½ WZHint: What comes first in a proof?Hint: You may want to draw a diagram to
sattari [20]
<span>Answer: Since X is the midpoint, you know WX=XY and VX=XZ (given to you in the problem statement) When you draw your line segments, label the five points W,X,Y,V and Z Now also draw line segments WV and ZY. You now have two triangles. The angle zxy = wxv since opposite angles are equal. Given the above, you now have 2 triangles that are congruent using side-angle-side Since the two triangles are congruent, then the sides opposite the angle x (WV and ZY) must be equal.</span>
8 0
4 years ago
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Margaret [11]

Answer:3(8-)5-89)

Step-by-step explanation:

6 0
4 years ago
What is the slope of this equation? y= -1/2x −3 option -3 0 -1/2
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