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Mama L [17]
3 years ago
12

A right triangle has side lengths 4 units, 5 units, and x units what is the difference between the difference values of x?

Mathematics
1 answer:
irina [24]3 years ago
6 0

Use the Pythagorean theorem.

If x is a hypotenuse, then we have:

x^2=4^2+5^2\\\\x^2=16+25\\\\x^2=41\to x=\sqrt{41}

If x is a leg, then we have:

x^2+4^2=5^2\\\\x^2+16=25\ \ \ \ |-16\\\\x^2=9\to x=\sqrt9\to x=3

Answer: \sqrt{41}-3

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Need to keep cell bill under 60.,monthly charge is 30. And texts are 0.05 each. Write an inequality to represent the # of texts
nignag [31]

Answer:

30 + 0.05x < 60

The number of texts she can have is less than 600.

Step-by-step explanation:

Total monthly charge

30 + 0.05 for each text.

So, for x tests, the charge is:

C(x) = 30 + 0.05x

Write an inequality to represent the # of texts she can have?

It has to be under 60, so:

C(x) < 60

30 + 0.05x < 60

The solution is:

0.05x < 30

x < \frac{30}{0.05}

x < 600

The number of texts she can have is less than 600.

5 0
3 years ago
Michael has $1,059.35 in his checking account. He is going to spend $466.43 on a new television, and he will spend the rest on s
sesenic [268]

Answer:

D. $43.00x + $466.43 < $1,059.35

Step-by-step explanation:

He has $1,059.35.

The amount of speakers he buys is x.

Each speaker is $43.00, and he is buying one television, which is $466.43.

All of the speakers he buys and(+) the television must be less than $1,059.35 because that's all he has. It cannot be more, which is why the equation is $43.00x + $466.43 < $1,059.35.

Hope this helps!

3 0
2 years ago
Read 2 more answers
What is 10*9*8*7*6*5*4*3*2*1?
nordsb [41]
Welcome to the factorial world :) Remember the Exclamation Point ( ! ) on the calculator, that is called factorial.
For instance: 1! = 1
2! = 1 x 2
3! = 1 x 2 x 3 
and so on 
10! = 1 x 2 x 3 x 4 x 5 x 6 x 7 x 8 x 9 x 10 = 3628800
Crazy enough, 0! is actually equal to 1, try that on your calculator XD

6 0
3 years ago
Find the measure of the arc or angle indicated
MariettaO [177]
Short Answer: arc LM = 110°
Comment

Any two angles that have their end points on the same end points as a chord and both moving away in the same direction (in this case  down ) are equal. This is a fundamental fact about circles.

Equation
2x + 55 =  x + 55
the only way this is going to make any sense is if x = 0. No other value is possible because it will destroy the equality.

Conclusion
Both angles = 55

But that's not what you are asked for.

What you are asked for
You want to know the measure of arc LM.  
The angle connecting the center of the circle with its two arms running through the end points of the chord = the measure of  arc LM

Draw a dot where the center of the circle is and call it O. Draw in <MOL 
<MOL = 2* either of the 55° = 2 (<LKM)  = 2 * 55 = 110° That's a property of the central angle.

The measure of arc LM = 110°
6 0
3 years ago
In the circus, a lion has been trained to jump through a ring of fire that has a diameter of 8 feet. What is the ring's area?
liberstina [14]

Answer:

50.265

Step-by-step explanation:

radius is 4 then you put it in A=Pi r^2

5 0
3 years ago
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