Answer:
c = 6
Step-by-step explanation:
Step 1: Write equation
2(5c + 2) - 2c = 3(2c + 3) + 7
Step 2: Solve for <em>c</em>
- Distribute: 10c + 4 - 2c = 6c + 9 + 7
- Combine like terms: 8c + 4 = 6c + 16
- Subtract 6c on both sides: 2c + 4 = 16
- Subtract 4 on both sides: 2c = 12
- Divide both sides by 2: c = 6
Answer:
65.38degrees
Step-by-step explanation:
Given the following
Length of ladder = 12foot = hypotenuse
Distance of the ladder from the wall = 5ft = adjacent
Required
Angle between the ground and the ladder theta
Using the SOH CAH TOA identity
Cos theta = adj/hyp
Cos theta = 5/12
Cos theta = 0.41667
theta = arccos(0.41667)
theta = 65.38 degrees
Hence the angle between the ground and the floor is 65.38degrees
You seem to have gotten m∠2. Remember that ∠1 and ∠2 are alternate interior angles, meaning they're both equal. Since they gave you m∠1 as being 26°, you now know the measure of ∠2.
As for m∠3 and m∠4, If you look at ∠3 you'll see that it is complementary to ∠1 (They both add up to 90°), so if you subtract m∠1 from 90° you'll have found m∠3. You find m∠4 the same way.
Hope this helped.
Answer:
Break-even point in units= 4,400
Step-by-step explanation:
Giving the following information:
Fixed costs= $49,500
Unitary variable cost= $12
Selling price= $23.25
<u>We need to calculate the level of sales that will result in a net profit of zero. We need to use the break-even formula:</u>
Break-even point in units= fixed costs/ contribution margin per unit
Break-even point in units= 49,500 / (23.25 - 12)
Break-even point in units= 4,400
Answer:
23°
Step-by-step explanation:
Step 1:
< GEC + < ECG + < CGE = Δ ECG Sum of a Δ
Step 2:
< IGF = < GCE Corresponding ∠ 's
Step 3:
14° + 180° - 4x + 78° = 180° Substitution
Step 4:
272° - 4x = 180° Add / Algebra
Step 5:
- 4x = - 92 Subtract 272° on both sides
Step 6:
- 92 ÷ - 4 Divide
Answer:
x = 23°
Hope This Helps :)
