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3 years ago

What is the value of x

Mathematics

1 answer:

Mrac [35]3 years ago

8 0

Answer:

x=127°

Step-by-step explanation:

The sum of the interior angles of a polygon is given by:

$(n - 2) \times 180$

For a 6- sided polygon, the sum of interior angles is

$(6 - 2) \times 180$

$4 \times 180 = 720$

We add the interior angles and equate them to 720°

x+112°+133°+128°+100°+120°=720°

x+593=720

x=720-593

x=127°

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gayaneshka [121]

Answer:

8 Hours

Step-by-step explanation:

40 divide by 5 is 8

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4 years ago

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Lina20 [59]

Answer:

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Step-by-step explanation:

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3 years ago

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The Bailey family and the Howard family each used their sprinklers last summer. The water output rate for the Bailey family's sp

Nady [450]

Answer:

Running time of Bailey's family sprinkler = x = 20 hrs

Running time of Howard's family sprinkler = y = 35 hrs

Step-by-step explanation:

We will make equations of time and flow of each family's sprinkler.

1. Time equation will be:

Let x is the time of Bailey's family sprinkler

Let y is the time of Howard Family Sprinker

Thus equation from the given information is both sprinklers ran for 55 hours.

$x+y=55$ (eq:1)

2. Flow of water equation will be derived from the fact that if we multiply the flow of one sprinkler with its time it will give the total flow of water

thus: Flow of Bailey's family sprinkler = $x*20$

and Flow of Bailey's family sprinkler = $y*35$

Total flow is given = 1625

Therefor adding the two equations will give total flow equation

$(x*20) + (y*35) = 1625$

$20x+35y=1625$ (eq:2)

Now we have two equations and two variables x and y and we will use the substitution method to solve them.

Using equation one

$x+y=55$

$x=55-y$

Using value of x in second equation

$20x +35y = 1625$

Substituting value of x

$20(55-y)) + 35y = 1625\\1100-20y+35y=1625\\1100+35y-20y=1625\\15y=1625-1100\\15y=525\\y=525/15\\y=35$

Now putting the value of y in equation # 1

$x+y=55\\x+35=55\\x=55-35\\x=20$

Thus the answers are:

Running time of Bailey's family sprinkler = x = 20 hrs

Running time of Howard's family sprinkler = y = 35 hrs

8 0

3 years ago

Read 2 more answers

If n is a positive integer, then lim (n-->infinity) (1/n) [1/(1+(1/n)) + 1/(1+(2/n))+...+1/(1+(n/n)] is?

Anton [14]

The correct answer to this question is d.) integral from 1 to 2 of (2/(x+1))
To solve this:

Since Δx = 1/n.
lim (n→∞) Δx [1/(1+Δx) + 1/(1+2Δx)+ ... + 1/(1+nΔx)]
= lim (n→∞) Σ(k = 1 to n) [1/(1 + kΔx)] Δx.

x <---> a + kΔx

a = 0, then b = 1, so that Δx = (b - a)/n = 1/n

Since (1 + kΔx) combination, a = 1 so that b = 2.
Then, f(1 + kΔx) <-----> f(x) ==> f(x) = 1/x.

This sum represents the integral
∫(x = 1 to 2) (1/x) dx, so the correct answer is d.) integral from 1 to 2 of (2/(x+1))

Thank you for posting your question. I hope that this answer helped you. Let me know if you need more help.

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3 years ago

What is the volume of a rectangular prism that is 10cm by 12cm by 6cm

LUCKY_DIMON [66]

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4 years ago