Answer:
x=10
Step-by-step explanation:
We first need to combine like terms
76-4x=36 We will then use inverse operations to find x
-4x=-40 Continue using inverse operations
x=10
Answer:
22.8 m/s at 17.4°
Step-by-step explanation:
Horizontal component:
vₓ = 3 + 20 cos 20° = 21.8
Vertical component:
vᵧ = 0 + 20 sin 20° = 6.84
Magnitude:
v² = vₓ² + vᵧ²
v² = (21.8)² + (6.84)²
v = 22.8 m/s
Direction:
θ = atan(vᵧ / vₓ)
θ = atan(6.84 / 21.8)
θ = 17.4°
Answer:
37 degrees
Step-by-step explanation:
1. m∠CBA = 71+45 = 116 degrees
2. m∠CBA = m∠CDA because of the quadrilateral property of opposite sides.
3. m∠CBA + m∠CDA = 2*116 = 232.
4. Total angle measure of a quadrilateral is 360 degrees, so m∠BAD + m∠BCD = 360-232 = 128 degrees.
5. m∠BAD = m∠BCD = 128/2 = 64 degrees
6. m∠BAC = m∠BAD - m∠CAD = 64 - 27 = 37 degrees
Answer:
Break-even point in units= 40
Step-by-step explanation:
Giving the following information:
Unitary variable cost= $20
Selling price per unit= $30
Fxed costs= $400
<u>To calculate the break-even point in units, we need to use the following formula:</u>
Break-even point in units= fixed costs/ contribution margin per unit
Break-even point in units= 400 / (30 - 20)
Break-even point in units= 40
