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3 years ago

If the tree is 19.3 feet tall, how far is the person standing away from the tree in feet?

Mathematics

1 answer:

Pani-rosa [81]3 years ago

3 0

2.75,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,

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Find the inverse of the following function. Then prove they are inverses of one another.

solmaris [256]

Answer: $\dfrac{x^2+1}{2}$

Step-by-step explanation:

Given

$f(x)=\sqrt{2x-1}$

We can write it as

$\Rightarrow y=\sqrt{2x-1}$

Express x in terms of y

$\Rightarrow y^2=2x-1\\\\\Rightarrow x=\dfrac{y^2+1}{2}$

Replace y be x to get the inverse

$\Rightarrow f^{-1}(x)=\dfrac{x^2+1}{2}$

To prove, it is inverse of f(x). $f(f^{-1}(x))=x$

$\Rightarrow f(f^{-1}(x))=\sqrt{2\times \dfrac{x^2+1}{2}-1}\\\\\Rightarrow f(f^{-1}(x))=\sqrt{x^2+1-1}\\\\\Rightarrow f(f^{-1}(x))=x$

So, they are inverse of each other.

8 0

3 years ago

Which one of the following statement is true of parallel lines?

mezya [45]

Parallel lines run along side of each other, but never intersect.

-----------------------
<== these are parallel lines...they never cross
-----------------------

3 0

3 years ago

Read 2 more answers

How do these numbers compare? Drag the correct comparison symbol to the box. 2.75 2.6

Natalka [10]

<h2>COMPARE</h2>

<h2> $\\ \sf \: 2.75 \: \: \: \green{\boxed{\tt{{ > }}}} \: \: \: 2.6 \\$ </h2>

The correct sign for the two given digits compared is greater than. 2.75 is greater than 2.6.

8 0

3 years ago

Read 2 more answers

The circumference of a roll of party streamers is 9 inches. The circumference decreases by 2 inches after you use the streamers

leonid [27]

For that case the new circumference is:
C = 9 - 2
C = 7 inches
By definition, the circumference is:
C = 2 * pi * r
Where,
r: radio
Substituting values:
7 = 2 * pi * r
Clearing the radio:
r = 7 / (2 * pi)
Then, the diameter is:
d = 2 * r
Substituting:
d = 2 * (7 / (2 * pi))
d = 2.228169203
Round to the hundredth:
d = 2.23 inches
Answer:
The diameter of the roll after the decrease is:
d = 2.23 inches

7 0

3 years ago

What is the value of x?

vitfil [10]

Answer:

x = 27

Step-by-step explanation:

Based on the angle bisector theorem, we would have the following:

(x + 8)/10 = (2x - 5)/14

Cross multiply

14(x + 8) = 10(2x - 5)

14x + 112 = 20x - 50

Collect like terms

14x - 20x = -112 - 50

-6x = -162

Divide both sides by -6

-6x/-6 = -162/-6

x = 27

8 0

2 years ago