Based on the calculations, the measure of angle PON (∠PON) in equilateral triangle LMN is equal to 30°.
<h3>What is an equilateral triangle?</h3>
An equilateral triangle can be defined as a special type of triangle that has equal side lengths and all of its three (3) interior angles are equal.
Since triangle LMN is an equilateral triangle, the following applies:
LN = LM = MN
∠LNM = ∠L = ∠LM = 60°
OP // MN (O and P are midpoint).
∠NPO = 90° + (90° - 60°) = 120°
∠PNO = ∠LNP/2 = 60/2 = 30°.
Therefore, ∠PON is given by:
∠PON = 180° - (∠PNO + ∠NPO)
∠PON = 180° - (30° + 120°)
∠PON = 180° - 150°
∠PON = 30°
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Answer:
c. $60,500
$12.10 per unit.
Explanation:
The variable cost is the one which varies with the number of units produced. Adens Corporation has incurred variable and fixed cost for its unit’s production. To identify per unit variable cost for Adens Corporation we add up all the variable cost per unit and then multiply by units sold in the period which are 5,000 units to get total variable cost.
Variable cost per unit = Direct Material per unit + Direct Labor per unit + Variable manufacturing overheads per unit + Sales Commission per unit + Variable administrative expense per unit.
Variable cost per unit = $6.25 + $2.80 + $1.55 + $1.00 + $0.50.
Variable cost per unit = $12.10
Total variable cost for 5,000 units = $12.10 *5000 unit.
= $60,500.
Answer:
Doris wants to learn how to write poetry.
Misty wants to take a class to learn about different cultures.
Explanation:
Identify the examples of interests. Check all that apply.
Doris wants to learn how to write poetry.
Misty wants to take a class to learn about different cultures.
Leroy is well liked by his classmates.
Marcus treats other people with respect.
Cora works hard.
Answer:
5.40%
Explanation:
For computing the weight, first we have to determine the total market value which is shown below:
= Number of outstanding bonds × selling price per bond + number of preferred stock × market price per share + number of common stock × par value per share
= 650 bonds × $1,007 + 2,100 shares × $68 + 42,000 shares × $44
= $654,550 + $142,800 + $1,848,000
= $2,645,350
Now the weight of preferred stock would be
= Total value of preferred stock ÷ total market value × 100
= $142,800 ÷ $2,645,350 × 100
= 5.40%
Answer: d. Liza faces economies of scale; Sam faces diseconomies of scale; Tina faces constant returns to scale
Explanation:
Economies of scale occurs when the increase in production by companies brings about a reduction in cost. Diseconomies of scale is when a rise in production leads to an increase in cost as well. For a constant return to scale, the cost remains the same.
Therefore, the answer will be option D "Liza faces economies of scale; Sam faces diseconomies of scale; Tina faces constant returns to scale".