The answer is -65.6 because the negative sign is on the out side of the absolute value signs.
Answer:
a = 8 cm
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>Geometry</u>
Volume of a Cube Formula: V = a³
- <em>a</em> is a side length
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify variables</em>
<em>V</em> = 512 cm³
<u>Step 2: Find </u><em><u>a</u></em>
- Substitute in variables [Volume of a Cube Formula]: 512 cm³ = a³
- [Equality Property] Cube root both sides: 8 cm = a
- Rewrite: a = 8 cm
Answer:
do you need all work shown for this problem
Answer: The triangle has two angles of 49.99° and one angle of 80.02°
Step-by-step explanation:
We have a triangle with sides of 7mm, 9mm and 7mm
The triangle has two equal sides, so this means that this is a Isosceles triangle.
The angles are
The base of this triangle is the side with 9mm, and the two base angles are equal.
We can find the base angles by drawing a line from the middle of the base to the top vertice, then we will have a triangle rectangle with a hypotenuse of 7mm, a adjacent cathetus of 4.5 mm, and with this two things we can find the base angle by using the relation
cos(a) = adjacent cathetus/hypotenuse = 4.5mm/7mm
a = Acos(4.5/7) = 49.99°
Then in our isosceles triangle we have two base angles of 49.99°
To find the other angle we can use the fact that the 3 inner angles of a triangle adds up top 180°
Then
49.99° + 49.99° + A = 180°
A = 180° - 2*49.99° = 80.02°
It’s not factorable, that’s it’s final form
