Answer:
466.9 ft²
Step-by-step explanation:
The shape given is a trapezoid
Area of trapezoid = ½(a + b)*h
Where,
a and b are the two bases of the trapezoid,
h is the height of the trapezoid or the distance between the two bases
a = 33 ft
b = 25 ft
h = √(18² - (33 - 25)²)
h = √(18² - 8²)
h = √260
h = 16.1 (nearest tenth)
Find the area by plugging in the values into the formula
Area = ½(33 + 25)*16.1
Area = ½(58)*16.1
Area = 466.9 ft²
Answer:
The Solution of the equation is
x= 5 ±
Step-by-step explanation:
We are supposed to find the solution of the equation by completing square method
our given equation is
2x² + 20x + 10 = 0
Dividing whole equation by 2
we will get
x² + 10 x + 5 = 0
Now we will write the middle term in factor form to see what we will be needing to make it perfect square
it would be written as
x² + 2(5) x + 5 = 0
Now adding 20 on both sides we get
x² + 2(5) x + 5 + 20 = 20
x² + 2(5) x + 25 = 20
(x)² + 2(5) x +(5)² = 20
Now we have the form of a²+2(a)(b) + b²
And also we know that
a²+2(a)(b) + b² = (a+b)²
So our equation becomes
(x+5)² = 20
Taking square root of both sides it becomes
![\sqrt{(x+5)^{2} }=\sqrt{20}](https://tex.z-dn.net/?f=%5Csqrt%7B%28x%2B5%29%5E%7B2%7D%20%7D%3D%5Csqrt%7B20%7D)
square cuts out with square root so
it becomes
x+5 = ±![\sqrt{20}](https://tex.z-dn.net/?f=%5Csqrt%7B20%7D)
We know that ![\sqrt{20}=2\sqrt{5}](https://tex.z-dn.net/?f=%5Csqrt%7B20%7D%3D2%5Csqrt%7B5%7D)
So it becomes
x+5 =± ![2\sqrt{5}](https://tex.z-dn.net/?f=2%5Csqrt%7B5%7D)
Subtracting 5 from both sides
it becomes
x= 5 ± ![2\sqrt{5}](https://tex.z-dn.net/?f=2%5Csqrt%7B5%7D)
So
The Solution of the equation is
x= 5 ±
Answer:
![\Huge \boxed{\frac{1}{125}}](https://tex.z-dn.net/?f=%5CHuge%20%5Cboxed%7B%5Cfrac%7B1%7D%7B125%7D%7D)
Step-by-step explanation:
<h2>Order of operations</h2>
PEMDAS
Parenthesis, exponent, multiply, divide, add, and subtract from left to right.
Do exponent.
![\displaystyle \frac{1}{5^3}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7B1%7D%7B5%5E3%7D)
![\displaystyle 5^3=5\times5\times5=125](https://tex.z-dn.net/?f=%5Cdisplaystyle%205%5E3%3D5%5Ctimes5%5Ctimes5%3D125)
![\displaystyle \frac{1}{125}=125](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7B1%7D%7B125%7D%3D125)
, which is our answer.
Hope this helps!
I think the right answer to your question may be F I don’t know for sure
Seven is 3,775 because if you add 51 plus 52 and go all the way to a hundred it equals to 3,775.