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2 years ago

Calculate. 6P6 Note: Pr = n! (n-r)! (Hint: 0!= 1) Enter

Mathematics

1 answer:

kvasek [131]2 years ago

8 0

The value of $^6P_6$ is 720

<h3>How to solve the expression?</h3>

The expression is given as:

$^6P_6$

The permutation formula is:

$^nP_r = \frac{n!}{(n - r)!}$

So, we have:

$^nP_r = \frac{6!}{(6 - 6)!}$

Evaluate the difference

$^nP_r = \frac{6!}{0!}$

0! = 1.

So, we have:

$^nP_r = 6!$

Evaluate the factorial

$^6P_6 = 720$

Hence, the value of $^6P_6$ is 720

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marcus saved 31.25

Step-by-step explanation:

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3 years ago

Tawnee is designing a playground in the shape of a rectangle. If Tawnee increases the length and width of the playground by a sc

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Answer:

We conclude that If Tawnee increases the length and width of the playground by a scale factor of 2, the perimeter of the new playground will be twice the perimeter of the original playground.

Step-by-step explanation:

We know that the perimeter of a rectangle = 2(l+w)

i.e.

P = 2(l+w)

Here

'l' is the length

'w' is the width

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A scale factor of 2 means we need to multiply both length and width by 2.

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Therefore, we conclude that If Tawnee increases the length and width of the playground by a scale factor of 2, the perimeter of the new playground will be twice the perimeter of the original playground.

4 0

3 years ago

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A movie theater earned $3,600 in sold-out ticket sales for the premiere of a new movie. VIP tickets cost $20 per person and regu

julia-pushkina [17]

There are 300 seats in the theater.

Step-by-step explanation:

Given,

Cost of one VIP ticket = $20

Cost of one regular ticket = $8

Worth of sold out tickets = $3600

Let,

x represent the number of VIP tickets sold

y represent the number of regular tickets sold

20x+8y=3600 Eqn 1

y = 2x Eqn 2

Putting value of y from Eqn 2 in Eqn 1

$20x+8(2x)=3600\\20x+16x=3600\\36x=3600$

Dividing both sides by 36

$\frac{36x}{36}=\frac{3600}{36}\\x=100$

Putting x=100 in Eqn 2

$y=2(100)\\y=200$

Total = x+y = 100+200 = 300

There are 300 seats in the theater.

Keywords: linear equation, substitution method

Learn more about substitution method at:

#LearnwithBrainly

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3 years ago

PLEASE PLEASE HELP! Find the measure of APB^.

Whitepunk [10]

Answer:

65°

Step-by-step explanation:

Radii CA and CB are perpendicular to tangent lines AT and BT, so

$\angle CAT=\angle CBT=90^{\circ}$

Since angle BAT is equal to 65°, angle CAB has measure

$\angle CAB=90^{\circ}-65^{\circ}=25^{\circ}.$

Consider triangle ACB. This triangle is isosceles, because CA=CB as radii of the circle. Two angles adjacent to the base are congruent, thus

$\angle CBA=\angle CAB=25^{\circ}$

The sum of the measures of all interior angles in triangle is always 180°, so

$\angle CAB+\angle CBA+\angle ACB=180^{\circ}\\ \\25^{\circ}+25^{\circ}+\angle ACB=180^{\circ}\\ \\\angle ACB=130^{\circ}$

Angle ACB is central angle subtended on the minor arc AB, angle APB is inscribed angle subtended on the same minor arc AB. The measure of inscribed angle is half the measure of central angle subtended on the same arc, so

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3 years ago

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Kaylis [27]

Answer:

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Step-by-step explanation:

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4 years ago

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