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Anon25 [30]
3 years ago
9

Determining the Scale Factor of a Dilation Consider the dilation of pentagon ABCDE by a scale factor of If AB = 12, then A'B' A&

gt; If C'D' = 5, then CD = ​

Mathematics
1 answer:
barxatty [35]3 years ago
5 0
<h3>Answer:</h3>

<u>If AB = 12units, then</u>

  • A'B' = 1/2 × 12 = 6units.

<u>If C'D' = 5units, then</u>

  • CD = 2 × 5 = 10units.

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A parallelogram has a base of 12 meters and a height of 1.5 meters. What is its area? ​
rusak2 [61]

Answer:

18

Step-by-step explanation:

12×1.5=18

its the same formula with rectangle cz if you combine both right angled triangle side its become a rectangle

4 0
2 years ago
50,000 x (2 + 5/100)<br> 50,000 x (3 + 5/100)<br> 50,000 x (4 + 5/100)<br> 50,000 x (5 + 5/100)
ELEN [110]

Answer:

Solution for What is 5 percent of 50000:

5 percent *50000 =

( 5:100)*50000 =

( 5*50000):100 =

250000:100 = 2500

Step-by-step explanation:

7 0
3 years ago
The amount of toothpaste in a tube is normally distributed with a mean of 6.5 ounces and a standard
Anarel [89]

Answer:

a) 266 tubes ,  TC_r = $53.2

b) 266 tubes ,  T.Loss = $13.30

Step-by-step explanation:

Given:

- The sample size of tubes n = 1,000 tubes

- The mean of the sample u = 6.5 oz

- The standard deviation of the sample s.d = 0.8 oz

- Cost of manufacturing a tube C_t = 50 cents

- Cost of refilling a tube C_r = 20 cents

- Profit loss per tube Loss = 5 cents

Find:

a). How many tubes will be found to contain less than 6 ounces? In that case, what will be the total cost of the  refill?

b) How many tubes will be found to contain more than 7 ounces? In that case, what will be the amount of  profit lost?

Solution:

- First we will compute the probability of tube containing less than 6 oz.

- Declaring X : The amount of toothpaste.

Where,                         X ~ N ( 6.5 , 0.8 )

- We need to compute P ( X < 6 oz )?

Compute the Z-score value:

                  P ( X < 6 oz ) =  P ( Z < (6 - 6.5) / 0.8 ) = P ( Z < -0.625 )

Use the Z table to find the probability:

                               P ( X < 6 oz ) = P ( Z < -0.625 ) = 0.266

- The probability that it lies below 6 ounces. The total sample size is n = 1000.

       The number of tubes with X < 6 ounces = 1000* P ( X < 6 oz )

                                                                           = 1000*0.266 = 266 tubes.

- The total cost of refill:

                            TC_r = C_f*(number of tubes with X < 6)

                            TC_r = 20*266 = 5320 cents = $53.2

- We need to compute P ( X > 7 oz )?

Compute the Z-score value:

                  P ( X > 7 oz ) =  P ( Z > (7 - 6.5) / 0.8 ) = P ( Z < 0.625 )

Use the Z table to find the probability:

                               P ( X > 7 oz ) = P ( Z > 0.625 ) = 0.266

- The probability that it lies above 7 ounces. The total sample size is n = 1000.

       The number of tubes with X > 7 ounces = 1000* P ( X > 7 oz )

                                                                           = 1000*0.266 = 266 tubes.

- The total cost of refill:

                            T.Loss = Loss*(number of tubes with X > 7)

                            T.Loss = 5*266 = 1330 cents = $13.30

5 0
2 years ago
A rectangle field has an area of 300 square meters and a perimeter of 80 meters. what are the length and width of the field?
Yakvenalex [24]
By definition the area of a rectangle is:
 A = w * l
 The perimeter is:
 P = 2w + 2l
 Where,
 w: width
 l: long
 Substituting values:
 300 = w * l
 80 = 2w + 2l
 Solving the system of equations we have:
 l = 30 m
 w = 10 m
 Answer:
 
The length and width of the field are:
 
l = 30 m
 
w = 10 m
6 0
3 years ago
Simplify the following functions so that your answers do not include trig functions. In each case, assume x∈(−1,1). cos(2sin−1x−
Roman55 [17]

Answer:

cos(2sin−1x)=1−2x2

Step-by-step explanation:

et sin−1x=θ , so that, x=sinθ,|x|≤1,θ∈[−π2,π2].

3 0
2 years ago
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