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3 years ago

What will be the perimeter and the area of the rectangle below if it is enlarged using a scale factor of 6.5? (5 points)

Mathematics

2 answers:

klemol [59]3 years ago

8 0

the third one

Step-by-step explanation:

Because I’m right

Kipish [7]3 years ago

6 0

Answer:

Perimeter = 182 cm, area = 2,028 cm2

Step-by-step explanation:

original perimeter=2*(8+6)+28 cm

original area=8*6= 48 cm²

You would have to do the old length and width times the scale factor

Multiply both of the width's

8 * 6.5 = 52 cm

scale factor: 6 * 6.5 = 39 cm

To get perimeter = 2(length + width)

2(52+39)=182 cm.

So you would have to do length(52 cm) * width(39 cm)

To get 2028 cm^2

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Three times a number is equal to 12 less than the number. Find the number.

Juliette [100K]

Well (three times four is equal to twelve. So the answer should be 4

5 0

3 years ago

X+2y=0<br> 3x+4y=4<br><br> find the solution

Nady [450]

Answer:

(x, y) = (4, -2)

Step-by-step explanation:

The coefficient of y in the second equation is double the coefficient of y in the first. We can subtract twice the first equation from the second to eliminate y.

(3x +4) -2(x +2y) = (4) -2(0)

x = 4 . . . . . . . . . simplify

Substituting into the first equation, we have ...

4 +2y = 0

2 +y = 0 . . . . . . divide by 2

y = -2 . . . . . . . . subtract 2

The solution is (x, y) = (4, -2).

4 0

2 years ago

53% of U.S. adults have very little confidence in newspapers. You randomly select 10 U.S. adults. Find the probability that the

faltersainse [42]

Answer:

$P(X = 5) = 0.2423$

$P( X \ge 6 )= 0.4516$

$P( X < 4 )= 0.12694$

Step-by-step explanation:

From the question we are told that

The population proportion is p = 0.53

The sample size is n = 10

Generally the distribution of the confidence of US adults in newspapers follows a binomial distribution

i.e

$X \~ \ \ \ B(n , p)$

and the probability distribution function for binomial distribution is

$P(X = x) = ^{n}C_x * p^x * (1- p)^{n-x}$

Here C stands for combination hence we are going to be making use of the combination function in our calculators

Generally the probability that the number of U.S. adults who have very little confidence in newspapers is exactly five is mathematically represented as

$P(X = 5) = ^{10}C_5 * 0.53^5 * (1- 0.53)^{10-5}$

=> $P(X = 5) = 252 * 0.04182 * 0.023$

=> $P(X = 5) = 0.2423$

Generally the probability that the number of U.S. adults who have very little confidence in newspapers is at least six is mathematically represented as

$P( X \ge 6 )= P( X = 6) + P( X = 7) + P( X = 8) + P( X = 9) + P( X = 10)$

=> $P( X \ge 6 )= [^{10}C_6 * [0.53]^6 * (1- 0.53)^{10-6}] + [^{10}C_7 * [0.53]^7 * (1- 0.53)^{10-7}] + [^{10}C_8 * [0.53]^8 * (1- 0.53)^{10-8}] + [^{10}C_9 * [0.53]^9 * (1- 0.53)^{10-9}] + [^{10}C_{10} * [0.53]^{10} * (1- 0.53)^{10-10}]$

=> $P( X \ge 6 )= [0.227] + [0.1464] + [0.0619] + [0.0155] + [0.00082]$

=> $P( X \ge 6 )= 0.4516$

Generally the probability that the number of U.S. adults who have very little confidence in newspapers is less than four is mathematically represented as

$P( X < 4 )= P( X = 3) + P( X = 2) + P( X = 1) + P( X = 0)$

=> $P( X < 4 )= [^{10}C_3 * 0.53^3 * (1- 0.53)^{10-3}] + [^{10}C_2 * 0.53^2 * (1- 0.53)^{10-2}] + [^{10}C_1 * 0.53^1 * (1- 0.53)^{10-1}] + [^{10}C_0 * 0.53^0 * (1- 0.53)^{10-0}]$

=> $P( X < 4 )= 0.09051 + 0.03 + 0.0059 + 0.000526$

=> $P( X < 4 )= 0.12694$

5 0

3 years ago

Find the product: two thirds multiplied by three fourths. Use the fraction model to help you.

Mandarinka [93]

Answer:

siz tenths its six tenths your welcome

Step-by-step explanation:

5 0

2 years ago

Which of the following equations could be the result of using the comparison method to solve the system shown?

masya89 [10]

Answer:

6-2y=4y+8

since you show x through y

Answer:

The result that is obtained on comparing the system of equations in order to get the solution to the system of equations is:

6 -2y =4y + 8

Step-by-step explanation:

We are given a system of equations in term of variable x and y as follows:

x + 2y = 6 --------(1)

x - 4y = 8-------------(2)

From equation (1) we have the value of x in terms of y as:

x=6-2y

From equation (2) we have the value of x in terms of y as:

x=8+2y

Hence, on equation the above two values of 'x' we obtain:

6 - 2y = 4y + 8

ghope this helps

5 0

3 years ago

Read 2 more answers