(x+3)(x-2)=0
x+3=0 => x=-3
x-2=0 => x=2
<span>The solution with the lowest value is x=-3.
</span>
Answer:
D is the midpoint of AC Given
∠BDC ≅ ∠BDA Given
BD ≅ BD Reflexive Property
AD ≅ DC Definition of line segment bisector
ΔADB ≅ ΔCBD CPCTC (Congruent Parts of Congruent Triangles are Congruent)
~
The length, width and height of the rectangular prism is ∛10
<h3>How to determine the dimensions?</h3>
The volume is given as:
Volume, V = 10m^3
For a minimised volume, we have:
Length = Width = Height
This means that:
V = L^3
So, we have:
L^3 = 10
Take the cube root of both sides
L = ∛10
Hence, the length, width and height of the rectangular prism is ∛10
Read more about volume at:
brainly.com/question/1972490
#SPJ1
Answer:
![\displaystyle EF \approx 15.9](https://tex.z-dn.net/?f=%5Cdisplaystyle%20EF%20%5Capprox%2015.9)
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality
<u>Trigonometry</u>
- [Right Triangles Only] SOHCAHTOA
- [Right Triangles Only] cosθ = adjacent over hypotenuse
Step-by-step explanation:
<u>Step 1: Define</u>
Angle θ = 28°
Adjacent Leg = EF = <em>x</em>
Hypotenuse = DF = 18
<u>Step 2: Solve for </u><em><u>x</u></em>
- Substitute in variables [Cosine]:
![\displaystyle cos28^\circ = \frac{x}{18}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20cos28%5E%5Ccirc%20%3D%20%5Cfrac%7Bx%7D%7B18%7D)
- [Multiplication Property of Equality] Multiply 18 on both sides:
![\displaystyle 18cos28^\circ = x](https://tex.z-dn.net/?f=%5Cdisplaystyle%2018cos28%5E%5Ccirc%20%3D%20x)
- Evaluate trig:
![\displaystyle 18(0.882948) = x](https://tex.z-dn.net/?f=%5Cdisplaystyle%2018%280.882948%29%20%3D%20x)
- Multiply:
![\displaystyle 15.8931 = x](https://tex.z-dn.net/?f=%5Cdisplaystyle%2015.8931%20%3D%20x)
- Rewrite:
![\displaystyle EF = 15.8931](https://tex.z-dn.net/?f=%5Cdisplaystyle%20EF%20%3D%2015.8931)
- Round:
![\displaystyle EF \approx 15.9](https://tex.z-dn.net/?f=%5Cdisplaystyle%20EF%20%5Capprox%2015.9)
Answer:
1 i dont know if theres an explination for this
Step-by-step explanation: