Answer:
3.47
Step-by-step explanation:
the hundreth is the second place after the decimal
always round up on number 5+
Answer:
The original dimensions of the card were 9 inches length and 9 inches width
Step-by-step explanation:
Let x be the original length and width of the card in inches (remember that it was squared originally). The exercise says that the area of the new width, with dimensions x-4 and x-5 is 20 square inches, therefore
(x-4)*(x-5) = 20
x²-9x+20 = 20
x²-9x = 0
x*(x-9) = 0
x = 0 or x = 9
Since x must be positive, then it cant be 0, thus, x has to be 9. The original dimensions of the card were 9 inches length and 9 inches width.
Answer:
m∠R = 60°
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>
</u>
<u>Trigonometry</u>
- [Right Triangles Only] SOHCAHTOA
- [Right Triangles Only] sinθ = opposite over hypotenuse<u>
</u>
Step-by-step explanation:
<u>Step 1: Identify</u>
Angle θ = ∠R
Opposite Leg of ∠R = 10√3
Hypotenuse = 20
<u>Step 2: Solve</u>
- Substitute in variables [sine]:

- [Equality Property] Trig inverse:

- Evaluate trig:

Answer: 70ᴼ
Step-by-step explanation:
The triangles are vertical so their angle measures are congruent.
The angles of a triangle add to equal 180ᴼ.
55 + 55 = 110
180 - 110 = 70
I'm sorry I didn't understand that :/