Answer:
x = 14
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
<u>Geometry</u>
- Congruency
- All angles in a triangle add up to 180°
Step-by-step explanation:
<u>Step 1: Define</u>
3(x + 7)° = 63°
3(x + 7)° + 63° + y° = 180°
<u>Step 2: Solve for </u><em><u>x</u></em>
- Divide 3 on both sides: x + 7 = 21
- Subtract 7 on both sides: x = 14
Answer:
the 3rd won for sure
Step-by-step explanation:
hope I helped
Answer:
Magnitude: 121.35 pounds
Direction: 21.64°
Explanation:
1) Decompose each force into its x - y components.
2) Force 1, F1: 140 pounds at angle of 30°
x-component: F1,x
F1, x = F1 *cos(30°) = 140 pounds * cos(30°) = 121.24 pounds
y-component: F1,y
F1,y = F1 * sin(30°) = 140 pounds * sin(30°) = 70 pounds.
3) Force 2, F2: 75 poounds at 150°
x-component: F2,x
F2,x = F2 * cos(150°) = 75 pounds * cos(150°) = - 64.95 pounds
y-component: F2,y
F2,y = F2 * sin(150°) = 75 pounds * sin(150°) = 37.5 pounds
4) Resultant Force, Fr
x-component: Fr,x
Fr,x = F1,x + F2,x = 121.24 pounds - 64.95 pounds = 56.29 pounds
y-component: Fr,y
Fr,y = F1,y + F2,y = 70 pounds + 37.5 pounds = 107.5 pounds
4.1) magnitude
|Fr| = √ [ (56.29 pouns)^2 + (107.5 pounds)^2 ] = 121.35 pounds.
4.2) direction
tan(α) = Fr,y / Fr,3 = 56.29 pounds / 107.5 pouns = 0.5236
=> α = arctan(0.5236) = 27.64 °
Answer:
60:150
Step-by-step explanation:
So first you can divide 210 by 7 since it will be spilt into seven parts.
210/7 = 30
So in order to get them into the ratios:
30 x 2 = 60
30 x 5 = 150
So 210 in the ratio of 2:5 would be 60:150
You can check your work by adding 60 + 150 together.
