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NeTakaya
3 years ago
7

A rectange has a width of 9 units and a length of 40 unit. what is the length in diagonal

Mathematics
1 answer:
AlekseyPX3 years ago
3 0

Answer:

41 units

Step-by-step explanation:

The diagonal forms a right triangle with the sides, so we can use Pythagorean theorem.

c² = a² + b²

d² = 9² + 40²

d = 41

The diagonal is 41 units long.

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A manufacturer has a monthly fixed cost of $110,000 and a production cost of $14 for each unit produced. The product sells for $
vova2212 [387]

Answer:

Cost function C(x) == FC + VC*Q

Revenue function R(x) = Px * Q

Profit function P(x) =(Px * Q)-(FC + VC*Q)

P(12000) = -38000 Loss

P(23000) = 28000 profit

Step-by-step explanation:

Total Cost is Fixed cost plus Variable cost multiplied by the produce quantity.  

(a)Cost function

C(x) = FC + vc*Q

Where  

FC=Fixed cost

VC=Variable cost

Q=produce quantity

(b)

Revenue function

R(x) = Px * Q

Where  

Px= Sales Price

Q=produce quantity

(c) Profit function

Profit = Revenue- Total cost

P(x) =(Px * Q)-(FC + vc*Q)

(d) We have to replace in the profit function

<u>at 12,000 units </u>

P(12000) =($20 * 12,000)-($110,000 + $14*12,000)

P(12000) = -38000

<u>at 23,000 units </u>

P(x) =($20 * 23,000)-($110,000 + $14*23,000)

P(23000) = 28000

5 0
3 years ago
Aurora is planning to participate in an event at her school's field day that requires her to complete tasks at various stations
labwork [276]

Step-by-step explanation:

A. this is a geometric sequence.

according to y-coordinates =>

3, 6, 12, 24

have a T1 = 3 and ratio = 6/3 = 2

B. the formula = Tn = r. T(n-1)

T5 = 2. T4

= 2. 24 = 48 minutes

C. the formula : Tn = T1 . r^(n-1)

T9 = 3. 2^(9-1)

= 3. 2^8

= 3. 256

= 768 munutes

6 0
2 years ago
A rectangle is 3 feet longer than it is wide . if the perimeter is 30 feet , find the area in square feet .
noname [10]

Answer:

Hey

Step-by-step explanation:

I beleve you answer is 10 because 3 time 10 equals 30 and the question sais "3 times longer"

5 0
3 years ago
Please help me find the area of the rhombus
kherson [118]
Rhombus area = (diagonal 1 * diagonal 2) / 2
rhombus area = (26 * 15) /2
rhombus area =195 square yards
Source:
http://www.1728.org/quadrhom.htm




8 0
3 years ago
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The ice maker can hold 14 cups of ice at a time. If it has 4 7/12 cups in the ice maker, how much more can it hold before it is
salantis [7]
Be patient it’ll come to you soon enough :)
7 0
3 years ago
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