Answer:
<u>The storage unit is 20 feet long.</u>
Step-by-step explanation:
1. Let's use the Pythagorean Theorem to find the unknown side or length of the storage unit:
With the information given, we have a right triangle with 52 feet of hypotenuse and 48 feet as one of its sides and width of the storage unit.
Length of the storage unit ² = Hypotenuse ² - Width of the storage unit ²
Replacing with the real values:
Length of the storage unit ² = 52² - 48²
Length of the storage unit ² = 2,704 - 2,304
Length of the storage unit ² = 400
√Length of the storage unit ² = √400
<u>Length of the storage unit = 20 feet</u>
Answer:
19.625
Step-by-step explanation:
If the square's diagonal is 5 and the circle is inscribed in it, that means that the radius is 2.5
2.5^2*3.14
=19.625
Answer:
The set of coefficients asociated with the given polynomial in ascending order is
.
Step-by-step explanation:
Let
, which is a polynomic function, defined as:
(1)
Where:
- i-th Coefficient.
- i-th Power.
- Grade of the polynomial.
We notice that given polynomial has degree 2 and can be rewritten by applying this definition:

Then, the set of coefficients asociated with the given polynomial in ascending order is:
![[C] = \{4,0,5\sqrt{3}\}](https://tex.z-dn.net/?f=%5BC%5D%20%3D%20%5C%7B4%2C0%2C5%5Csqrt%7B3%7D%5C%7D)
<span>3a+4x=29 (1st)
2a-3x=-9 (2nd)
multiply (1st) by 3 and (2nd) by 4
</span>9a + 12x = 87 (1st)
8a - 12x = -36 (2nd)
---------------------add
17a = 51
a = 3
<span>2a-3x=-9
</span><span>2(3)-3x=-9
6 - 3x = -9
-3x = -15
x = 5
answer
x = 5 and a = 3</span>
Answer:
14.7 inches
Step-by-step explanation:
To solve this we use Pythagorean Theorem, so a**2 + b**2 = c**2
Since we have The hypotenus (19”) and the opposite (12”), we rearrange it to be , b equals the square root of c squared - a squared.
When we plug the numbers in the formula, the answer is 14.73, which is therefore 14.7 inches!
Hope this helps!