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3 years ago

A rectangle is 64 cm long 40 cm wide find is area and perimeter

Mathematics

1 answer:

kow [346]3 years ago

7 0

Answer:

Assuming the length to be x and the width to be y.

Since the area is 64cm, hence

x*y = 64 (equation 1)

Since the perimeter is 40cm, hence

x + x + y + y = 40

2x + 2y = 40

2(x + y) = 2(20)

x + y = 20 (equation 2)

Hence by using simultaneous equation,

x = 20 - y (equation 3)

Substituting equation 3 into equation 1, we get

(20-y)*y=64

20y-y^2=64

Tidying up the equation,

y^2 - 20y + 64 = 0

By using factorisation,

(y-16)(y-4)=0

y=16 or y=4

By substituting y=16 into equation 1,

x*16=64

x = 4

By substituting y = 4 into equation 1,

x*4=64

x=16

Therefore,

The length is 4 cm while the width is 16 cm.

The length is 16 cm while the width is 4cm.

Hope this helps!!

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A catering service offers appetizers, main courses, and desserts. A customer is to select appetizers, main courses, and desserts

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Answer:

Step-by-step explanation:

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The formula for that is:

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Let's see check it:

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4 years ago

In a die game, you roll a standard 6-sided die twice. If the second number rolled is the same as the first number rolled, you wi

mario62 [17]

Answer:

You can expect to make $250.

Step-by-step explanation:

Possible outcomes:

For the pair of dice:

(1,1), (1,2), (1,3), (1,4), (1,5), (1,6)

(2,1), (2,2), (2,3), (2,4), (2,5), (2,6)

(3,1), (3,2), (3,3), (3,4), (3,5), (3,6)

(4,1), (4,2), (4,3), (4,4), (4,5), (4,6)

(5,1), (5,2), (5,3), (5,4), (5,5), (5,6)

(6,1), (6,2), (6,3), (6,4), (6,5), (6,6)

So 36 total outcomes.

Probability of the second number rolled being the same as the first number rolled:

6 outcomes: (1,1), (2,2), (3,3), (4,4), (5,5), (6,6)

Out of 36, thus:

$p = \frac{6}{36} = \frac{1}{6}$

Expected value of 1 game:

1/6 probability of earning $25.

5/6 probability of losing $2.

Thus:

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You can expect to make $250.

5 0

3 years ago

Hi, just wanted to double check your hat this is the right answer or not! If not can you please explain to me in comments? Thank

Elina [12.6K]

Yea that can be a good equation. I had this question last year and my teacher said it was ok.

But it can be wrong, I don't really know. Cuz we don't go to the same school.

6 0

3 years ago

Read 2 more answers

Suppose the function of h is defined, for all real numbers as follows: (f) x = -3 if x is <) 3 if x is =0 -2 if x is > 0

V125BC [204]

Answer:

See explanation

Step-by-step explanation:

The question is not properly presented; I will answer this with the following similar question.

$h(x) = -\frac{1}{3}x^2 + 4$ --- $x \ne 2$

$h(x) = -4$ --- $x= 2$

Required

$h(-5)\ \&\ h(2)$

Calculating h(-5)

This implies that: x = -5

$-5 \ne 2$

So, we make use of:

$h(x) = -\frac{1}{3}x^2 + 4$

Substitute -5 for x

$h(-5) = -\frac{1}{3} * (-5)^2 + 4$

$h(-5) = -\frac{1}{3} * 25 + 4$

$h(-5) = -\frac{25}{3} + 4$

Take LCM

$h(-5) = \frac{-25+12}{3}$

$h(-5) = -\frac{13}{3}$

Calculating h(2)

This implies that: x = 2

$2 = 2$

So, we make use of:

$h(x) = -4$

Substitute 2 for x

$h(2) = -4$

Use the above explanation to answer your question

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3 years ago

What are the coordinates?

Yuki888 [10]

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Step-by-step explanation: (2x-4)

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3 years ago

A rectangle is 64 cm long 40 cm wide find is area and perimeter​

A rectangle is 64 cm long 40 cm wide find is area and perimeter