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zavuch27 [327]
3 years ago
5

A 10-foot ladder leans against the side of a house with its base 2.2 feet from the house. Use the Pythagorean Theorem to approxi

mate how high the ladder reaches up the side of the house. Round your answer to the nearest hundredth. The ladder reaches feet high.

Mathematics
1 answer:
sergejj [24]3 years ago
3 0

Answer:

Ladder reaches 9.76 high.

Step-by-step explanation:

From the figure attached,

Ac is the ladder which reaches at the point A when leans against the side of a house.

Length of the ladder = 10 feet

Distance of the ladder form the base of a house = 2.2 ft

By Pythagoras theorem,

AC² = AB² + BC²

(10)² = h² + (2.2)²

h² = 100 - 4.84

h = √95.16

h = 9.755 feet

  ≈ 9.76 feet

Therefore, the ladder reaches the 9.76 high.

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Select a setting so that each given point will lie within the viewing window.
NemiM [27]

Answer:

The given points are

(-13,3)\\(0,0)\\(-2,-7)

The setting would have a interval or 2 units above and below the minimum and maximum of each coordinate.

The given maxium horizontal coordinate is 0.

The given minimum horizontal coordinate is -13.

The given maximum vertical coordinate is 3.

The given minimum vertical coordinate is -7.

Now, we extend each maximum and minimum value by 2 units to create the setting.

So, the setting is

x_{min}=-15\\x_{max}=2\\ y_{min}=-9\\y_{max}=5

With a scale of 2 units.

6 0
3 years ago
The two triangles below are similar. What is the similarity ratio of ΔABC to ΔDEF?
Evgesh-ka [11]
It would be a 2:1 ratio because sides AC and DF are 8:4 which simplifies to 2:1

Hope this helps!
5 0
3 years ago
Read 2 more answers
In the following sequence, each number (except the first two) is the sum of the previous two numbers: 0, 1, 1, 2, 3, 5, 8, 13, .
Amanda [17]

Answer:

Fibonacci Series has been explained and the general term and shortcut to find the corresponding term has been attached

Step-by-step explanation:

Fibonnaci is a beautiful series in mathematics where the term in the series is the sum of the previous two terms of the corresponding term in the series.

Its general form is denoted by

X_{n} =X_{n-1}+X_{n-2},

where X_{n} represents the n^{th} of the Fibonnaci series.

The special thing about the Fibonacci series is that the more number of terms we proceed the ratio of the two consecutive term comes closer to the value of the Golden Ratio(φ) whose value is 1.618034.

But there is another method to find out the terms of the the Fibonacci series, which takes into account the value of φ. The formula for the following is as follows

8 0
2 years ago
Solve the system algebraically.<br><br>y=3-1/2x<br><br>3x+4y=1<br><br>what is the value of x?
Gre4nikov [31]
Use the expression for y in the second equation.
.. 3x +4(3 -(1/2)x) = 1
.. 3x +12 -2x = 1
.. x +12 = 1
.. x = -11
8 0
3 years ago
Add.
Tresset [83]

Answer:

C

Step-by-step explanation:

3x2 - 5x+1 + 2x2 +9x-6

Combine like terms

5x2+4x-5 which is C

You are welcome and don't for get to click <u>THANKS</u>

4 0
3 years ago
Read 2 more answers
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