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1 year ago

6 - 0.617. WHAT IS SIX MINUS 0.617

Mathematics

1 answer:

Reil [10]1 year ago

6 0

Answer:

5.833

Step-by-step explanation:

SIX MINUS 0.617 IS 5.833

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In the figure, the ratio of the perimeter of rectangle ABDE to the perimeter of triangle BCD is . The area of polygon ABCDE is s

Gekata [30.6K]

Step 1

Find the perimeter of rectangle ABDE

we know that

the perimeter of rectangle is equal to

$P=2b+2h$

In this problem

$b=ED=2\ units$

$h=AE=6\ units$

substitute

$P=2*2+2*6=16\ units$

Step 2

Find the perimeter of triangle BCD

we know that

the perimeter of triangle is equal to

$P=BD+DC+BC$

In this problem we have

$BD=AE=6\ units$

$DC=BC$

Applying the Pythagoras theorem

$DC^{2}=4^{2}+3^{2}$

$DC^{2}=25$

$DC=5\ units$

substitute

$P=6+5+5=16\ units$

Find the ratio of the perimeter of rectangle ABDE to the perimeter of triangle BCD

we have

the perimeter of rectangle is equal to

$P=16\ units$

the perimeter of the triangle is

$P=16\ units$

the ratio is equal to

$\frac{16}{16} =1$

therefore

<u>the answer Part 1) is the option B</u>

$1$

Step 3

Find the area of polygon ABCDE

we know that

The area of polygon is equal to the sum of the area of rectangle plus the area of triangle

Area of rectangle is equal to

$A=AE*BD=6*2=12\ units^{2}$

Area of the triangle is equal to

$A=\frac{1}{2}AEh$

the height h of the triangle is equal to $4\ units$

substitute

$A=\frac{1}{2}(6)(4)=12\ units^{2}$

The area of polygon is

$12\ units^{2}+12\ units^{2}=24\ units^{2}$

therefore

<u>the answer part 2) is the option C</u>

$24\ units^{2}$

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2 years ago

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In a triangle ABC,AB=9 and BC =12 which of the following Cannot be the length of AC.

galben [10]

Step-by-step explanation:

mark it as the brainliest

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2 years ago

The number of hours walked varies inversely with the speed of the walker. if it takes sam 12 hours to complete his walking goal

Effectus [21]

We let k be the proportionality constant for the relationship between number of hours, h and speed of the walker, s.

h = k/s
Substituting the known values,
12 = k/5
k = 60

For the second scenario,
h = k/s
Substituting the calculated value for k and the given value for speed,
h = (60)(3 miles/hour)
h = 20 hours
h = 20 hours

Therefore, it will take 20 hours to walk with a speed of 3 miles per hour.

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1 year ago

The table shows the number of candies packed by Machine C. The equation shows the number of candies packed by Machine D. In both

Rashid [163]

Machine C makes 75 candies per minute.

Machine D makes 130 candies per minute.

Difference is 55

55 * 11 minutes = 605 candies.

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1 year ago

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A pound of oranges costs $2 less than a pound of pears. Together, ten pounds of oranges and eight pounds of pears cost $61. How

Thepotemich [5.8K]

Let us say that:

o = cost of oranges per pound

p = cost of pears per pound

so that:

o = p – 2

Therefore:

10o + 8p = 61

10 (p – 2) + 8p = 61

10p – 20 + 8p = 61

18p = 81

p = 4.5

p = $4.5 per pound

So 3 pounds of pears would cost:

total cost = 3 * 4.5

total cost = $13.5

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1 year ago

6 - 0.617. WHAT IS SIX MINUS 0.617​

6 - 0.617. WHAT IS SIX MINUS 0.617