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Oduvanchick [21]
3 years ago
12

Convert to exponential form: log 1000=3

Mathematics
1 answer:
Luden [163]3 years ago
8 0
\log_a b=c \hbox{ if } a^c=b \\ \\
\log 1000=3 \\
\log_{10} 1000=3 \\
\Downarrow \\
\boxed{10^3=1000}

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18. You are standing beside the Colorado River, 400 feet
Veseljchak [2.6K]
<h3>Answer: B. 781.6 feet approximately</h3>

=======================================================

Work Shown:

The horizontal portion is 400+166 = 566 feet. Label this as 'a', so a = 566. The vertical side is unknown, so b = x. The hypotenuse is c = 965

Use the pythagorean theorem

a^2+b^2 = c^2

566^2+x^2 = 965^2

x^2 = 965^2 - 566^2

x = sqrt( 965^2 - 566^2 )

x = 781.58108984289 which is approximate

x = 781.6 feet when rounding to one decimal place

6 0
3 years ago
Polygon Q is a scaled copy of polygon P using a scale factor of 1/2. Polygon Q's area is what fraction of Polygon P's area.
DaniilM [7]

Answer: Polygon Q's area is 1/4 of Polygon P's area

======================================================

Explanation:

Imagine we had a square with side length 8. The area of this square is 8*8 = 64.

Now let's reduce each side of the square by the scale factor 1/2. So each new side is 8*(1/2) = 4. The area of this smaller square is 4*4 = 16.

Comparing the new area (16) to the old one (64), we see that the new area is 16/64 = 1/4 of the old area.

In other words,

new smaller area = (1/4)*(old larger area)

So this is one example to see why (1/2)*(1/2) = 1/4 is the area scale factor based on the linear scale factor of 1/2. In short, (1/2)^2 = 1/4. Whatever the original scale factor is, square it and you'll get the area scale factor.

4 0
2 years ago
An angle measures (2x + 11).
lidiya [134]
Vertical angles are always congruent, or of equal measure.
Vertical angle is equal to given angle. Answer is:(2x+11)
4 0
3 years ago
Plz help me with this
seropon [69]
HEY mate here is your answer

I think the correct option is equivalent...

I am from India..

hope it helps you.

be brainly
8 0
3 years ago
Read 2 more answers
What is the approximate area of a circle with a radius of 30
amid [387]

Answer:

Step-by-step explanation:

Area of circle = π r²

r = 30

30² = 900

π = 3.14  or ≈ 3

A ≈ 900 × 3

A ≈ 2700

so C at 2830 is closest to the answer

8 0
2 years ago
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