Answer:
d= 24
Step-by-step explanation:
-2= d/3 - 10
-6= d-30
-d=-30+6
-d= -24
d= 24
Four times the sum of x and two
Answer:
A
Step-by-step explanation:
Answer:
x = -1.5
General Formulas and Concepts:
<u>Pre-Alg</u>
- Order of Operations: BPEMDAS
- Equality Properties
Step-by-step explanation:
<u>Step 1: Define equation</u>
0.2x + 1 = 1.6x + 3.1
<u>Step 2: Solve for </u><em><u>x</u></em>
- Subtract 0.2x on both sides: 1 = 1.4x + 3.1
- Subtract 3.1 on both sides: -2.1 = 1.4x
- Divide both sides by 1.4: -1.5 = x
- Rewrite: x = -1.5
<u>Step 3: Check</u>
<em>Plug in x to verify it's a solution.</em>
- Substitution: 0.2(-1.5) + 1 = 1.6(-1.5) + 3.1
- Multiply: -0.3 + 1 = -2.4 + 3.1
- Add: 0.7 = 0.7
Answer:
The length of the arc is 1.0467
Step-by-step explanation:
First of all to solve this problem we need to use the circumferenc formula of a circle:
c = circumference
r = radius = 3
π = 3.14
c = 2π * r
we replace with the known values
c = 2 * 3.14 * 3
c = 18.84
The length of the circumference is 18.84
Now we have to divide the 20° by the 360° that a circle has, to know what part of the circle it represents
20° / 360° = 1/18
Now we multiply this fraction by the circumference and obtain the length of the arc
1/18 * 18.84 = 1.0467
The length of the arc is 1.0467
