Answer:
95 square inches
Step-by-step explanation:
Start by finding the surface area of the four triangles. 7x5=35 35÷2=17.5. 17.5x4=70. Then take the surface area of the square, 25, and add it to the surface area of the triangle. 70+25=95.
Hope this helps!
The equations that express the relationship between the side lengths of the triangles are
<h3>Pythagorean triple</h3>
From the question, we are to write an equation that expresses the relationship between the side lengths of each triangle
From the Pythagorean theorem,
In a right triangle, the square of the longest side (hypotenuse) equals sum of squares of the other two sides
That is,
c² = a² + b²
Where c is the longest side (hypotenuse)
a and b are the other two sides
The equation is
10² = 6² + 8²
- For
![\sqrt{5}, \sqrt{3}, \sqrt{8}](https://tex.z-dn.net/?f=%5Csqrt%7B5%7D%2C%20%5Csqrt%7B3%7D%2C%20%5Csqrt%7B8%7D)
The equation is
![(\sqrt{8} )^{2} = (\sqrt{5} )^{2} + (\sqrt{3} )^{2}](https://tex.z-dn.net/?f=%28%5Csqrt%7B8%7D%20%29%5E%7B2%7D%20%20%3D%20%28%5Csqrt%7B5%7D%20%29%5E%7B2%7D%20%2B%20%28%5Csqrt%7B3%7D%20%29%5E%7B2%7D)
- For
![5, \sqrt{5}, \sqrt{30}](https://tex.z-dn.net/?f=5%2C%20%5Csqrt%7B5%7D%2C%20%5Csqrt%7B30%7D)
The equation is
![(\sqrt{30} )^{2} = 5^{2} + (\sqrt{5} )^{2}](https://tex.z-dn.net/?f=%28%5Csqrt%7B30%7D%20%29%5E%7B2%7D%20%3D%205%5E%7B2%7D%20%2B%20%28%5Csqrt%7B5%7D%20%29%5E%7B2%7D)
- For
![1, \sqrt{37}, 6](https://tex.z-dn.net/?f=1%2C%20%5Csqrt%7B37%7D%2C%206)
The equation is
![(\sqrt{37} )^{2} = 1^{2} + 6^{2}](https://tex.z-dn.net/?f=%28%5Csqrt%7B37%7D%20%29%5E%7B2%7D%20%20%3D%201%5E%7B2%7D%20%2B%206%5E%7B2%7D)
- For
![3, \sqrt{2}, \sqrt{7}](https://tex.z-dn.net/?f=3%2C%20%5Csqrt%7B2%7D%2C%20%5Csqrt%7B7%7D)
The equation is
![3^{2} = (\sqrt{2} )^{2} + (\sqrt{7} )^{2}](https://tex.z-dn.net/?f=3%5E%7B2%7D%20%3D%20%28%5Csqrt%7B2%7D%20%29%5E%7B2%7D%20%2B%20%28%5Csqrt%7B7%7D%20%29%5E%7B2%7D)
Hence, the equations that express the relationship between the side lengths of the triangles are
Learn more on Pythagorean triple here: brainly.com/question/3223211
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1024 is the answer to this problem.
Answer:
38 inches
Step-by-step explanation:
just add them all together.
Answer:
3a. yes
3b. y= 75x
3c. 600 mi
3d. 10 inches
Step-by-step explanation:
3a: if you divide the y by the x, you'd get 75 everytime, meaning it's proportional.
3b: y would equal the amount of inches multiplied by 75, so y=75x
3c: you can use the equation and substitute the x for 8, so y=75(8), giving you 600 miles
3d: you can also use the equation in reverse, if the actual miles is 750, then this is your y, so it would look like 750=75x and to solve you'd divide, 750/75, giving you 10 inches