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Marat540 [252]
2 years ago
7

g A ball is dropped from a height of 33.6 meters, how long (in seconds) does it take to hit the ground

Mathematics
1 answer:
Soloha48 [4]2 years ago
3 0
Uhhh is that all that’s provided? no acceleration, no constant, nothing?
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Expand each logarithm. log 2 x³y⁻²
suter [353]

The expanded logarithm of log 2 x³y⁻²  is = log 3 + 3 log x - 2 log y.

What is a logarithmic function?

A logarithmic function in mathematics is defined as the function which is the inverse of the exponential function. It is denoted by using the word log. For example log 10 = 1

Expanding the given logarithm: log 2 x³y⁻²  

Given logarithmic expression is log 2 x³y⁻²  

Applying given properties of logarithmic function;

log a + log b = log (ab)

2 log a = log a^2

Now, log 2 x³y⁻² = log 3 + log x³ + log y⁻²

= log 3 + 3 log x - 2 log y

Hence, the expanded logarithm of log 2 x³y⁻²  is = log 3 + 3 log x - 2 log y.

To learn more about the logarithmic functions, visit here:

brainly.com/question/25710806

#SPJ4

7 0
1 year ago
I need with this and please show workkk
trasher [3.6K]

Answer:

1. ∠1 = 120°

2. ∠2 = 60°

3. ∠3 = 60°

4. ∠4 = 60°

5. ∠5 = 75°

6. ∠6 = 45°

Step-by-step explanation:

From the diagram, we have;

1. ∠1 and the 120° angle are corresponding angles

Corresponding angles are equal, therefore;

∠1 = 120°

2. ∠2 and the 120° angle are angles on a straight line, therefore they are supplementary angles such that we have;

∠2 + 120° = 180°

∠2 = 180° - 120° = 60°

∠2 = 60°

3. Angle ∠3 and ∠2 are vertically opposite angles

Vertically opposite angles are equal, therefore, we get;

∠3 = ∠2 = 60°

∠3 = 60°

4. Angle ∠1 and angle ∠4 an=re supplementary angles, therefore, we get;

∠1 + ∠4 = 180°

∠4 = 180° - ∠1

We have, ∠1 = 120°

∴ ∠4 = 180° - 120° = 60°

∠4 = 60°

5. let the 'x' and 'y' represent the two angles opposite angles to ∠5 and ∠6

Given that the two angles opposite angles to ∠5 and ∠6 are equal, we have;

x = y

The two angles opposite angles to ∠5 and ∠6 and the given right angle are same side interior angles and are therefore supplementary angles

∴ x + y + 90° = 180°

From x = y, we get;

y + y + 90° = 180°

2·y = 180° - 90° = 90°

y = 90°/2 = 45°

y = 45°

Therefore, we have;

∠4 + ∠5 + y = 180° (Angle sum property of a triangle)

∴ ∠5 = 180 - ∠4 - y

∠5 = 180° - 60° - 45° = 75°

∠5 = 75°

6. ∠6 and y are alternate angles, therefore;

∠6 = y = 45°

∠6 = 45°.

6 0
3 years ago
I need help. See attachment for detail.
lesantik [10]

Answer:

4.5

Step-by-step explanation:


6 0
3 years ago
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Tang created a number line for his class to use. A number line has points negative 4, A, B, blank, 0, blank, C, D, 4. Which poin
cestrela7 [59]

Answer:

Answer: D

Step-by-step explanation:

I took the test and got it right i promise

5 0
2 years ago
Read 2 more answers
The scale on a map is 1cm=20miles.if two airports are 4cm apart on the map, what's the distance between the airports?
Stels [109]
80 miles because if 1=20 then 2=40 3=60 4=80
8 0
2 years ago
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