Answer:
18 inches long
Step-by-step explanation:
Divide 45.72 by 2.54 to get to 18 inches.
Answer:
66.7 in^3
Step-by-step explanation:
The volume of a triangular pyramid is given by
V = 1/3 B h
where B is the area of the base and h is the height
Calculate the area of the base. The base is a triangle
B = 1/2 bh where b is 8 and h is 5
= 1/2 (8) * 5
=20
V = 1/3 (20) 10
66.6666666
To the nearest tenth
66.7 in^3
The reason why the bulletin board notice feel nervous is: it was under a tack
In most common cases, the notice that is putted under a tack is intended to be displayed on the board for a pretty long time, highlighting the importance and the urgeny of the notice.
Answer:
Step-by-step explanation:
Given
Solving (a): NK
MK is a diagonal and NK is half of the diagonal. So:
Solving (b): JL
JL is a diagonal, and it is twice of NL.
Solving (c): KL
To solve for KL, we consider triangle KNL where:
and
Solving (d - h):
To do this, we consider triangle JKN
-- diagonals bisect one another at right angle
Alternate interior angles are equal. So:
Similarly:
So:
Answer:
x = 8
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
Step-by-step explanation:
<u>Step 1: Define equation</u>
3(x - 2) = 2(x + 1)
<u>Step 2: Solve for </u><em><u>x</u></em>
- Distribute: 3x - 6 = 2x + 2
- Subtract 2x on both sides: x - 6 = 2
- Add 6 to both sides: x = 8
<u>Step 3: Check</u>
<em>Plug in x into the original equation to verify it's a solution.</em>
- Substitute in <em>x</em>: 3(8 - 2) = 2(8 + 1)
- Subtract/Add: 3(6) = 2(9)
- Multiply: 18 = 18
Here we see that 18 does indeed equal 18.
∴ x = 8 is a solution to the equation.
