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Hoochie [10]
2 years ago
12

Step 1: Place the graph paper in landscape orientation. Measure from the top left hand corner 6 inches right and 5 inches down.

This will be your starting point for
your diagram.
Step 2: Using a ruler and index card/protractor create an isosceles Right triangle. Drawing the triangles legs 1 inch straight up from the starting point and 1 inch to the
right of the starting point. Connect the endpoints of the two segments to create your right isosceles triangle.
Step 3: On a separate piece of paper, use the Pythagorean Theorem to calculate the length of the hypotenuse. You only need to do this for the first 8 if you discover a
pattern.
Step 4: Using your original Right triangle, add another leg measuring 1 inch and right angle to the hypotenuse of your original Right triangle. Connect the endpoints
to form a new hypotenuse for your new Right triangle.
Step 5: Show the calculations to find the length of the new hypotenuse.
Step 6: Continue to repeat this process of connecting and drawing new triangles with a side length of 1 inch, using the previous hypotenuse as the other side. Draw
triangles until you are able to measure the square root of 17. You must show all calculations (Step 3) on a separate piece of paper.

Mathematics
1 answer:
cluponka [151]2 years ago
8 0

T

<h3>How to determine the hypotenuse?</h3>

<u>Step 1 and 2: Draw an isosceles right triangle</u>

See attachment (figure 1) for this triangle

The legs of this triangle have a length of 1 inch

<u>Step 3: The hypotenuse</u>

This is calculated using the following Pythagoras theorem

h^2 = 1^2 + 1^2

This gives

h = \sqrt 2

<u>Step 4: Draw another isosceles right triangle</u>

Add 1 inch to one of the legs

See attachment (figure 2) for this triangle

The legs of this triangle have lengths of 1 inch and 2 inches, respectively

This hypotenuse is calculated using the following Pythagoras theorem

h^2 = 2^2 + 1^2

This gives

h = \sqrt 5

<u>Step 5: Draw another isosceles right triangle</u>

Add 1 inch to one of the legs

See attachment (figure 3) for this triangle

The legs of this triangle have lengths of 1 inch and 3 inches, respectively

This hypotenuse is calculated using the following Pythagoras theorem

h^2 = 3^2 + 1^2

This gives

h = \sqrt {10

<u>Step 6: Draw another isosceles right triangle</u>

Add 1 inch to one of the legs

See attachment (figure 4) for this triangle

The legs of this triangle have lengths of 1 inch and 4 inches, respectively

This hypotenuse is calculated using the following Pythagoras theorem

h^2 = 4^2 + 1^2

This gives

h = \sqrt{[17

See that the hypotenuse is the square root of 17

Hence, the right triangle whose legs are 1 inch and 4 inches has an hypotenuse of √17

Read more about right triangles at:

brainly.com/question/2437195

#SPJ1

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Answer:

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Step-by-step explanation:

I tried. Sorry if it's wrong I've never done a mathematical punnet square before.

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3 years ago
Solve for x. 83 = 35^x Express the answer to the hundredths place (i.e., two digits after the decimal point). x =
devlian [24]

Answer:

x = 1.24

Step-by-step explanation:

In order to get that x down from its current position of exponential, you need to take either the log or the natural log of both sides.  The power rule tells us that we can then pull the exponent down in front.  So let's take the natural log of both sides:

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The right side of this is "stuck" together by multiplication, so we can undo that multilication by division of the ln(35).  That leaves us with just x on the right:

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Step-by-step explanation:

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Alecsey [184]
<h3>Answer:  Independent</h3>

For two events A and B, if the occurrence of either event in no way affects the probability of the occurrence of the other event, then the two events are considered to be <u>  independent  </u> events.

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

Explanation:

Consider the idea of flipping a coin and rolling a dice. If these actions are separate (i.e. they don't bump into each other), then one object won't affect the other. Hence, one probability won't change the other. We consider these events to be independent.

In contrast, let's say we're pulling out cards from a deck. If we don't put the first card back, then the future probabilities of other cards will change. This is considered dependent.

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When ABC was dialed by a scale factor of 2, centered at the origin, the result was its image A'B'C' shown on the coordinates pla
sweet-ann [11.9K]

Answer:

Step-by-step explanation:

In dilation, the image and the original are similar, in that they are the same shape but not necessarily the same size. They are not congruent because that requires them to be the same shape and the same size, which they are not (scale factor is 2)

vertices of ABC are A(-2,2), B(-2,3), and C(1,2)

If we multiply by 2 from original to image,

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