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gulaghasi [49]
2 years ago
14

Type the correct answer in each box. Round your answers to the nearest integer.

Mathematics
2 answers:
QveST [7]2 years ago
5 0
Did you ever find the awnser

Over [174]2 years ago
3 0

Answer:

(1) 92.92 unit  (2) 500 unit²

Step-by-step explanation:

(1) Perimeter of the given hexagon ABCDEF will be

   = Sum of length of all sides

   = AB + BC + CD + DE + EF + FA

   =10+(\sqrt{10^{2}+10^{2}})+\sqrt{10^{2}+10^{2}}+10+\sqrt{20^{2}+10^{2}}+\sqrt{20^{2} +10^{2} }

   = 20+10\sqrt{2} +10\sqrt{2}+10+10\sqrt{(2+1)}+10\sqrt{(2+1)}

   = (30+20\sqrt{2}+20\sqrt{3})

   = 30 + 28.28 + 34.64

   = 92.92 unit

(2) Area of hexagon = Area of ΔAEF + Area of rectangle ABDE + Area of ΔBCD

   = \frac{1}{2} (20)(20)+(20)(10)+\frac{1}{2}(20)(10)

   = 200 + 200 + 100

   = 500 unit²

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The graph represents the function where electricity usage in kilowatts per hour of a clock radio varies directly with the number
geniusboy [140]

Answer:

Reasonable estimation for constant of variation is 0.25 kWh per day.    

Step-by-step explanation:

We are given the following information in the question:

  • The graph represents the function where electricity usage.
  • Electricity usage in kilowatts per hour of a clock radio varies directly with the number of days.
  • The x-axis shows the number of days and usage in kilo-watt per hour is showed on the y-axis.
  • Some coordinates of the graph are: (0,0), (2,0.5) and (6,1.5)

Formula for constant of variation:

\displaystyle\frac{y_2-y_1}{x_2-x_1}

Putting the values from the coordinates (2,0.5) and (6,1.5), we get:

\displaystyle\frac{1.5-0.5}{6-2} = \frac{1}{4} = 0.25\text{ kilowatt-hours per day}

Hence, reasonable estimation for constant of variation is 0.25 kWh per day.

7 0
2 years ago
Read 2 more answers
An oil company claims that the sulfur content of its diesel fuel is at most .15 percent. To check this claim, the sulfur content
GarryVolchara [31]

Answer:

No, it would have to have been greater than .192 to invalidate the claim.

Step-by-step explanation:

3 0
2 years ago
To make a profit, a company’s revenue must be greater than its operating costs. The company’s revenue is modeled by the expressi
myrzilka [38]
Revenue = 7.5x - 100
Operation Costs = 5.8x + 79.86

To break even, operation cost = Revenue
⇒ 7.5x - 100 = 5.8x + 79.86
7.5x = 5.8x + 179.86 (Add 100 to both sides)

7.5x - 5.8x = 179.86
1.7x = 179.86
x = 105.8

This implies that the company will need to sell at least 106 items to make a profit.

The inequality that will determine the number of items at need to be sold to make a profit is x ≥ 106

The solution to the inequality is as follows

Revenue = 7.5x - 100
if x =106
Revenue = 7.5(106) - 100
Revenue = 695

Operational Cost = 5.8x + 79.86
if x = 106
Operational Cost = 5.8(106) + 79.86
Operational Cost = 694.66

Profit ≥ (695 - 694.66)
Profit ≥ 0.34

The company must sell at least 106 items to make a profit.
7 0
2 years ago
Read 2 more answers
What is the value of 3 in 630
marysya [2.9K]
We can write 630 in expanded form as:
630 = 600 + 30 + 0
and in words:
630 = 6 hundreds, 3 tens and zero ones
the value 6 is 600
and the place value of 3 is 30 and the face value is 3 in the number 630.
4 0
2 years ago
You and three friends own a paint shop. The shop's profit was $536 in the first month. You always divide the profits equally. In
alexandr1967 [171]
C.  $360


$224x4=896 (total profit)

$896 (total) - $536 (first month profit) = $360 (second month profit)
4 0
2 years ago
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