What is the length of leg s of the triangle below

Mathematics

2 answers:

Alex787 [66]3 years ago

5 0

Pythagorean Theorem:
s^2 + 3^2 = 18
s^2 = 9
s = 3

answer is B

andrew-mc [135]3 years ago

5 0

Answer: The correct option is (B) 3.

Step-by-step explanation: We are given to find the length of the leg s in the triangle shown in the figure.

From the figure, we note that

the given triangle is a right-angled one, where

length of the hypotenuse, H = √18 units,

length of one leg, P = 3 units

and

length of the other leg, s = B =?.

From Pythagoras theorem, we have

$H^2=P^2+B^2\\\\\Rightarrow (\sqrt{18})^2=3^2+B^2\\\\\Rightarrow 18=9+B^2\\\\\Rightarrow B^2=18-9\\\\\Rightarrow B^2=9\\\\\Rightarrow B=3.$

Thus, the length of the leg s is 3 units.

Option (B) is CORRECT.

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Steeze Co. makes snowboards and uses the total cost approach in setting product prices. Its costs for producing 10,500 units fol

Feliz [49]

Answer:

$\large \boxed{1.\, \$239.81; 2.\, 12.5 \, \% ; 3. \$\,270}$

Step-by-step explanation:

Assume the costs are as in this table

$\begin{array}{rrrr}\textbf{Variable costs} & \textbf{per Unit} & \textbf{Fixed} & \textbf{Costs}\\\text{Direct materials} & \$ \, 101 & \text{Overhead} & \$\, 471000\\\text{Direct labour} & 26 & \text{Selling} & 104000\\\text{Overhead} & 21 & \text{Administrative} & 326000\\\text{Selling} & 6 & &\\\end{array}$

1. Total cost per unit

(a) Total cost

$\begin{array}{lrcr}\textbf{Item} & & & \textbf{Subtotal}\\\text{Direct materials} & 10500 \times 101 & = & \$ \, 1060500\\\text{Direct labour} & 10500 \times 26 & = &273000\\\text{Unit overhead} & 10500 \times 21 & = & 220500\\\text{Unit selling}& 10500 \times 6 & = & 63000\\\text{Fixed overhead} & & = & 471000\\\text{Fixed selling} & & = & 106000\\\text{Administrative} & & = &324000\\\text{TOTAL} & &= &\mathbf{\$ \, 2518000}\\\end{array}$

(b) Cost per unit

$\text{Total cost per unit} = \dfrac{\text{Total cost}}{\text{No. of units}} = \dfrac{\text{$\$ $2 518 000}}{\text{10 500}}= \textbf{\$239.81}$

2. Markup percentage

$\text{Total sales = total costs + profit} = $2 518 000 + $315 000 =\, \$2 833 000\\\\\text{Unit selling price} = \times \dfrac{\text{Total sales}}{\text{No. of units}} = \dfrac{\text{\$ 2833000}}{\text{10 500}}= \$269.81\\\\\text{Markup percentage} = \dfrac{\text{Selling price - Unit cost}}{\text{Unit cost}} \times 100 \, \%\\\\\\= \dfrac{\text{269.81 - 239.81}}{\text{239.81}}\times 100 \,\% = \mathbf{12.5 \, \%}\\\\\text{The markup percentage is $\large \boxed{\mathbf{12.5 \, \% }}$}$