The answer would probably be...
$30.00 + $11.80 = $41.80 - $20 = $21.80
For this problem you must do Pythagorean theorem:
![a^{2} + b^{2} =c^{2}](https://tex.z-dn.net/?f=a%5E%7B2%7D%20%2B%20b%5E%7B2%7D%20%3Dc%5E%7B2%7D)
In this example 10ft is c and 7ft is a (or it could be b, and you'll be solving for a instead of b. It's the same thing, since a and b are both legs)
Plug what you know into the equation:
![7^{2} +b^{2} = 10^{2}](https://tex.z-dn.net/?f=7%5E%7B2%7D%20%2Bb%5E%7B2%7D%20%3D%2010%5E%7B2%7D)
49 +b^{2} = 100
Bring 49 to the right side by subtracting it:
b^{2} = 51
Now you still must isolate b. The opposite of squaring is taking the square root so take the square root of both sides to cancel it from the left side:
![b =\sqrt{51}](https://tex.z-dn.net/?f=b%20%3D%5Csqrt%7B51%7D)
b = 7.1414
b ≈ 7 ft
Hope this helped!
Answer:
<u>It takes them 30/11 hours to paint them together.</u>
Step-by-step explanation:
This is known as a work problem (rate * time = work). We are given the individual times for Tom and Huck (6 hours and 5 hours respectively). However, we are not given the rates at which they can paint the fence. Since we know that the total work that they both do individually is 1 (there is 1 job to do), we can calculate the rates at which Tom and Huck paint the fence on their own:
![Tom: R_{T}*6=1\\Huck: R_{H}*5=1](https://tex.z-dn.net/?f=Tom%3A%20R_%7BT%7D%2A6%3D1%5C%5CHuck%3A%20R_%7BH%7D%2A5%3D1)
We can isolate R{t} and R{h} to find the rates at which Tom and Huck work:
![Tom: R_{T}=\frac{1}{6}\\Huck: R_{H}=\frac{1}{5}](https://tex.z-dn.net/?f=Tom%3A%20R_%7BT%7D%3D%5Cfrac%7B1%7D%7B6%7D%5C%5CHuck%3A%20R_%7BH%7D%3D%5Cfrac%7B1%7D%7B5%7D)
Now, we can calculate the time it takes for Tom and Huck to work together using the same formula (the combined rate is just the sum of Tom and Huck's individual rates):
![(\frac{1}{6} +\frac{1}{5})*T=1\\\\T*(11/30)=1 , T = 30/11](https://tex.z-dn.net/?f=%28%5Cfrac%7B1%7D%7B6%7D%20%2B%5Cfrac%7B1%7D%7B5%7D%29%2AT%3D1%5C%5C%5C%5CT%2A%2811%2F30%29%3D1%20%2C%20T%20%3D%2030%2F11)
Therefore, the time it takes them to paint the fence together is <u>30/11 Hours</u>
30% times by x is 9. (x is the number we’re trying to figure out) another way to put this equation is 30/100 times x = 9. now let’s multiply both sides by 100 and divide both sides by thirty. we have x = 9 times 100/30. so the answer is 30. the puppy’s full weight is 30 pounds. hope this helps :)
Answer:
The fourth pair of statement is true.
9∈A, and 9∈B.
Step-by-step explanation:
Given that,
U={x| x is real number}
A={x| x∈ U and x+2>10}
B={x| x∈ U and 2x>10}
If 5∈ A, Then it will be satisfies x+2>10 , but 5+2<10.
Similarly, If 5∈ B, Then it will be satisfies 2x>10 , but 2.5=10.
So, 5∉A, and 5∉B.
If 6∈ A, Then it will be satisfies x+2>10 , but 6+2<10.
Similarly, If 6∈ B, Then it will be satisfies 2x>10 , and 2.6=12>10.
So, 6∉A, and 6∈B.
If 8∈ A, Then it will be satisfies x+2>10 , but 8+2=10.
Similarly, If 8∈ B, Then it will be satisfies 2x>10. 2.8=16>10.
So, 8∉A, and 8∈B.
If 9∈ A, Then it will be satisfies x+2>10 , but 9+2=11>10.
Similarly, If 9∈ B, Then it will be satisfies 2x>10. 2.9=18>10.
So, 9∈A, and 9∈B.