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bekas [8.4K]
2 years ago
15

Find the value of x. If​ necessary, write your answer in the simplest radical form.

Mathematics
2 answers:
Zigmanuir [339]2 years ago
6 0

Answer is = 90°

Hope this helps

Paul [167]2 years ago
3 0

Answer:

x = 4\sqrt{5}

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

x² + 1² = 9²

x² + 1 = 81 ( subtract 1 from both sides )

x² = 80 ( take square root of both sides )

x = \sqrt{80} = \sqrt{16(5)} = \sqrt{16} × \sqrt{5} = 4\sqrt{5}

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Simplify and leave in radical form. <br> 8√x^2 y^6
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Correct answer: 8xy^6                        <span />
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3 years ago
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Sarah is allowed to watch no more than 10 hours of television each week. Sarah has already watched 6 hours of television. Define
sashaice [31]

Answer:

Inequality = 6 + x ≤ 10

x(Number of hours more of television Sarah can still watch this week) = 4 hours

Step-by-step explanation:

Define a variable, set up an inequality and solve that inequality to determine how many more hours of television Sarah can watch this week.

We are told in the question that:

Sarah is allowed to watch no more than 10 hours of television each week.

This means :

Sarah can watch tv for less than or equal to 10 hours in a week. Sarah has already watched 6 hours of television.

Hence:

The number of hours left that Sarah can watch television in a week is represented as x

Our Inequality Equation =

6hours + x hours ≤ 10 hours

6 + x ≤ 10

Solving the inequality

x ≤ 10 - 6

x ≤ 4 hours

This means Sarah still has no more than (less than or equal to) 4 hours or television left to watch in this week

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3 years ago
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Jake completed a marathon race in 3 hours and 12 minutes. What would be Jake's running time as a decimal?
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\text{Given that Jake completed a marathon race in 3 hours and 12 minutes.}\\&#10;\\&#10;\text{we need to find this time in decimals. so we will convert 12 minutes into hours}\\&#10;\\&#10;\text{We know that there are 60 minutes in 1 hour. }\\&#10;\\&#10;\text{so in 1 minute there will be}=\frac{1}{60 }\text{ hour}

\text{hence in 12 minutes we have}=\frac{1}{60}\times 12=\frac{1}{5}=0.2 \text{ hours}\\&#10;\\&#10;\text{hence the Jake's running time is}=3\text{hours + 12 minute}\\&#10;\\&#10;=3\text{ hours}+0.2 \text{ hours}\\&#10;\\&#10;=3.2 \text{ hours}

Hence, Jake's running time in decimal is: 3.2 hours

4 0
3 years ago
What is the value of 1/2 of 2/3 of 3/4 of 4/5 of 5/6 of 6/7 of 7/8 of 8/9 of 9/10 of 1000?
Alenkasestr [34]

Answer:

it's 100

Step-by-step explanation:

9/10 of 1000 is 900, 8/9 of 900 is 800, 7/8 of 800 is 700, 6/7 of 700 is 600, 5/6 of 600 is 500, 4/5 of 500 is 400, 3/4 of 400 is 300, 2/3 of 300 is 200, and 1/2 of 200 is 100 which makes 100 the value of 1/2 of 2/3 of 3/4 of 4/5 of 5/6 of 6/7 of 7/8 of 8/9 of 9/10 of 1000? I hope this makes sense.

5 0
3 years ago
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