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3 years ago

The perimeter of a regular pentagon is 200 centimeters. how long is each side?

1 answer:

5 0

X= length of each side in cm

Pentagon= 5 sides

Pentagon Perimeter= 5x
substitute the perimeter

200= 5x
divide both sides by 5

40cm= x

ANSWER: The length of each side of the pentagon is 40cm.

Hope this helps! :)

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Serial numbers for a product are to be made using 3 letters followed by 3 digits. The letters are to be taken from the first 5 l

Bezzdna [24]

Answer:

43,200 serial numbers can be generated

Step-by-step explanation:

The ordering for the letters and the digits are important. For example, 012 constitutes a different serial number than 210. So we use the permutations formula to solve this question.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

$P_{(n,x)} = \frac{n!}{(n-x)!}$

How many serial numbers can be generated

3 letters, from the first five of the alphabet

3 digits, from a set of 10

$T = P_{5,3}*P_{10,3} = \frac{5!}{(5-3)!}*\frac{10!}{(10-3)!} = 43200$

43,200 serial numbers can be generated

8 0

3 years ago

((Use the graph shown below to fill in the blank.))

Naily [24]

When x is 4 the diagonal line is on the first line above the 4 so that would be y=1

7 0

3 years ago

Read 2 more answers

6. (07.02 MC)

Alexus [3.1K]

Answer:

x = 28.07°

Step-by-step explanation:

Recall: SOH CAH TOA

Reference angle given = x°

Opposite = 8

Hypotenuse = 17

Apply SOH:

$Sin x = \frac{Opp}{Hyp}$

Substitute

$Sin x = \frac{8}{17}$

$x = sin^{-1}(\frac{8}{17})$

x = 28.07° (nearest hundredth)

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2 years ago

Justin weighs 15 pounds less than Greg weighs. Half of Greg’s weight is 75 pounds less than Justin’s weight. How much does each

EastWind [94]

Yup its 109 thats how much it ways

3 0

3 years ago

The sides of a triangle are in the ratio 3 : 4 : 5. What is the length of each side if the perimeter of the triangle is 90 cm

svet-max [94.6K]

The sides of the triangle are 3x, 4x and 5x

3x + 4x + 5x = 90
12x = 90
x = 90/12
x = 7.5

first side = 3x = 3 * 7.5 = 22.5 cm
second side = 4x = 4 * 7.5 = 30 cm
third side = 5x = 5*7.5 = 37.5 cm

7 0

3 years ago