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Lorico [155]
3 years ago
6

Look at triangle STU: A right triangle STU is shown with the right angle at T. The length of side ST is labeled as 42 cm, and th

e length of side TU is labeled as 56 cm. What is the length (in centimeters) of side SU of the triangle?

Mathematics
2 answers:
insens350 [35]3 years ago
7 0
SU would be the hypotenuse so you can use Pythagorean Theorem to solve this problem.
42^2 + 56^2 = c^2
1764 + 3136 = c^2
4900 = c^2
70 = c
Eva8 [605]3 years ago
5 0

Answer:

70 cm

Step-by-step explanation:

First draw a schematic of the triangle with all the information, as in the attached image.

Then it is visible that the hypotenuse of the the triangle is side SU.

Using Pythagoras, solve the length of SU:

SU^{2}=TU^{2}+ST^{2}\\\\SU^{2}=56^{2}+42^{2} \\\\SU^{2}=4900\\\\SU=\sqrt{4900} =70

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Explain how to find the inequality that represents the graph.
Aloiza [94]

The inequality that represents the given graph is y < x/5 -2 OR 5y < x - 10

<h3>Graph of Inequality</h3>

From the question, we are to determine the inequality that represents the graph

First, we will assume the inequality is a straight line and we will determine the equation of the line

From the graph, we have two points on the line

(0, -2) and (5, -1)

Using the formula for the equation of a line with two given point

(y - y₁)/(x -x₁) = (y₂ - y₁)/ (x₂ - x₁)

x₁ = 0

y₁ = -2

x₂ = 5

y₂ = -1

Thus,

(y - -2)/(x - 0) = (-1 - -2)/ (5 - 0)

(y +2)/(x - 0) = (-1 + 2)/ (5 - 0)

(y +2)/(x ) = 1/ 5

5(y + 2) =1(x)

5y + 10 = x

5y = x - 10

y = 1/5(x) - 2

y = x/5 - 2

Now,

Since the solution is below the line and the line is dotted

The inequality becomes

y < x/5 -2

OR

5y < x - 10

Hence, the inequality that represents the given graph is y < x/5 -2 OR 5y < x - 10

Learn more on Graph of Inequality here: brainly.com/question/17106134

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Use the picture below to solve for the missing information, given PQ = 2x + 8, QR = x + 11, and PR = 5x - 3.​
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Step-by-step explanation:

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1 year ago
To convert a repeating decimal to a fraction, your goal is to:
Nezavi [6.7K]
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Evaluate the following function: Show all work! h(x)=3x²+2-2x, Find h(-2)​
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<h2><u>Polynomial Function</u></h2>

<h3>Evaluate the following function: Show all work! h(x)=3x²+2-2x, Find h(-2)</h3>

To determine the answer, substitute the given value to the function and simplify.

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