The length of the hypotenuse = 7.1 inch
Step-by-step explanation:
In an isosceles right angle triangle if one leg is 5 inch, another side along the right angle is 5 in
hypotenuse =
( by Pythagoras theorem)
=
= ![\sqrt{50}](https://tex.z-dn.net/?f=%5Csqrt%7B50%7D)
= 7.07106781
= 7.1 inch (approx)
Answer:
144
Step-by-step explanation:
just split the shapes and find the area of each shape then add the answers all together
Step-by-step explanation:
Since
![\frac{108}{72} = \frac{3}{2}](https://tex.z-dn.net/?f=%20%5Cfrac%7B108%7D%7B72%7D%20%20%3D%20%20%5Cfrac%7B3%7D%7B2%7D%20)
![\frac{72}{48} = \frac{3}{2}](https://tex.z-dn.net/?f=%20%5Cfrac%7B72%7D%7B48%7D%20%20%3D%20%20%5Cfrac%7B3%7D%7B2%7D%20)
![\frac{48}{32} = \frac{3}{2}](https://tex.z-dn.net/?f=%20%5Cfrac%7B48%7D%7B32%7D%20%20%3D%20%20%5Cfrac%7B3%7D%7B2%7D%20)
The function has a constant factor so we have a exponential function.
The equation of a exponential function is
![y = a(b) {}^{x}](https://tex.z-dn.net/?f=y%20%3D%20a%28b%29%20%7B%7D%5E%7Bx%7D%20)
Where a is the initial value and b is the growth factor
The growth factor is 3/2,
The initial value in 32
![y = 32 ( \frac{3}{2} ) {}^{x}](https://tex.z-dn.net/?f=y%20%3D%20%2032%20%28%20%5Cfrac%7B3%7D%7B2%7D%20%29%20%7B%7D%5E%7Bx%7D%20)
Plug in 4 for x.
You will get 162
Plug in 5 for x you will get
243.
2013- 162
2014- 243
Answer:
The answer is option A
Step-by-step explanation:
<h3>
![( {x}^{ - \frac{4}{7} } )^{7}](https://tex.z-dn.net/?f=%28%20%7Bx%7D%5E%7B%20-%20%20%5Cfrac%7B4%7D%7B7%7D%20%7D%20%29%5E%7B7%7D%20)
</h3>
Using the rules of indices
That's
<h3>
![( { {a}^{x} })^{y} = {a}^{x \times y}](https://tex.z-dn.net/?f=%28%20%7B%20%7Ba%7D%5E%7Bx%7D%20%7D%29%5E%7By%7D%20%20%3D%20%20%7Ba%7D%5E%7Bx%20%5Ctimes%20y%7D%20)
</h3>
Simplify the expression
We have
<h3>
![( { {x}^{ - \frac{4}{7} } })^{7} = {x}^{ - \frac{4}{7} \times 7 } \\ = {x}^{ - 4}](https://tex.z-dn.net/?f=%28%20%7B%20%7Bx%7D%5E%7B%20-%20%20%5Cfrac%7B4%7D%7B7%7D%20%7D%20%7D%29%5E%7B7%7D%20%20%3D%20%20%7Bx%7D%5E%7B%20-%20%20%5Cfrac%7B4%7D%7B7%7D%20%5Ctimes%207%20%7D%20%20%20%5C%5C%20%20%3D%20%20%7Bx%7D%5E%7B%20-%204%7D%20)
</h3>
Again using the rules of indices
That's
<h3>
![{x}^{ - y} = \frac{1}{ {x}^{y} }](https://tex.z-dn.net/?f=%20%7Bx%7D%5E%7B%20-%20y%7D%20%20%3D%20%20%5Cfrac%7B1%7D%7B%20%7Bx%7D%5E%7By%7D%20%7D%20)
</h3>
The final answer is
<h3>
![\frac{1}{ {x}^{4} }](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B%20%7Bx%7D%5E%7B4%7D%20%7D%20)
</h3>
Hope this helps you
Answer:
if youre traveling 10 miles per hour then 8 hours would multiply 8 · 10 = 80 thus telling us that it would take us 8 hours to travel 80 miles. its basic math tbh...
Step-by-step explanation: