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Nonamiya [84]
3 years ago
8

ON THE SMARTBOARD, THE

Mathematics
1 answer:
RideAnS [48]3 years ago
4 0

The length of rectangle is 105 cm and width is 98 cm.

Step-by-step explanation:

Given,

Perimeter of rectangle = 406 cm

Let,

w be the width of rectangle

Length of rectangle = w+7

We know that

Perimeter of rectangle = 2(Length + Width)

406 = 2(w+7+w)\\406 = 2(2w+7)\\406 = 4w+14\\406-14 = 4w\\392=4w\\4w=392

Dividing both sides by 4

\frac{4w}{4}=\frac{392}{4}\\w=98

Width of rectangle = 98 cm

Length of rectangle = 98+7 = 105 cm

The length of rectangle is 105 cm and width is 98 cm.

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Please help me :3 please explain
Ivahew [28]

Using a proportional relationship, the amounts are given as follows:

  • Tennis 3, Soccer 7.
  • Tennis 36, Soccer 84.

<h3>What is a proportional relationship?</h3>

A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:

y = kx

In which k is the constant of proportionality.

For this problem, we have that:

  • The input variable is the number of tennis players.
  • The output variable is the number of soccer players.

From the first row of the table, the constant is given as follows:

k = 35/15 = 7/3.

Hence the relationship is:

y = 7/3x.

For the second row of the table, we have that x = 3, hence:

y = 7/3 x 3 = 7.

For the third row of the table, we have that y = 84, hence:

84 = 7/3x

x = 84 x 3/7

x = 36.

Then the amounts are given as follows:

  • Tennis 3, Soccer 7.
  • Tennis 36, Soccer 84.

More can be learned about proportional relationships at brainly.com/question/10424180

#SPJ1

7 0
1 year ago
Https://hegartymaths.com/assessment
Aleonysh [2.5K]

Answer:

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Step-by-step explanation:

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3 years ago
The radius of a car wheel is 14 inches. how many revolutions per minute is the wheel making when the car is traveling at 60 mph.
Dovator [93]

Answer:

721\ \frac{rev}{min}

Step-by-step explanation:

step 1

Find the circumference of the wheel

The circumference of a circle is equal to

C=2\pi r

we have

r=14\ in

substitute

C=2\pi(14)

C=28\pi\ in

assume

\pi=3.14

C=28(3.14)=87.92\ in

step 2

1\ mile=63,360\ inches

1\ hour=60\ minutes

we have that

The speed of the car is 60 miles/hour

Convert the speed to inches/minute

60\ \frac{mi}{h}=60(\frac{63,360}{60})=63,360\ \frac{in}{min}

step 3

Remember that

The circumference of the wheel subtends one revolution

so

1\ rev=87.92\ in

Convert the speed to rev/min

63,360\ \frac{in}{min}=\frac{63,360}{87.92}=721\ \frac{rev}{min}

3 0
3 years ago
An extended ratio compares three or more numbers. In the extended ratio a:b:c, we have the ratio A:b,c and a:c
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Answer:

see the explanation

Step-by-step explanation:

we know that

An extended ratio compares three or more numbers.

In the extended ratio a:b:c

The ratio of the first two numbers is a:b (you can write a to b or a/b)

The ratio of the last two numbers is b:c (you can write b to c or b/c)

The ratio of the first and last numbers are a:c  (you can write a to c or a/c)

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Find the probability of exactly two
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Answer:

Step-by-step explanation: 0.5

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