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tester [92]
3 years ago
6

Directed line segment AB has endpoints A(2,3) and B(8,15). Point P has coordinated P(6,11). What ratio does P partition AB into?

Mathematics
1 answer:
Vladimir79 [104]3 years ago
7 0
Refer to the graph shown below. It confirms that points A, B and P are
 collinear.

Calculate the length of AP (as a).
a = √[(6 - 2)² + (11 - 3)²]
   = 8.9443

Calculate the length of BP (as b).
b = √[(8 - 6)² + (15 - 11)²]
   = 4.4721

Calculate ratio a/b.
a/b = 8.9443/4.4721 = 2
Therefore P partitions AB in a 2:1 ratio so that AP = 2*BP.

Answer:  2:1 ratio.

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Bacteria colonies increase by 37% every 2 days. If you start with 55 microorganisms, how large would the colony be after 10 days
ahrayia [7]

The number of microorganisms that I will have after 10 days would be: 245.41 microoganisms.

<h3>How to calculate the number of microorganisms that I will have after 10 days?</h3>

To calculate the number of microorganisms that I will have after 10 days, I must perform the following operations:

We need to find 37% of 55 as shown below:

  • 55 ÷ 100 = 0.55
  • 0.55 x 37% = 20.35
  • 55 + 20.35 = 75.35

So after 2 days I will have 75.35 microorganisms.

  • 75.35 ÷ 100 = 0.75
  • 0.7535 x 37% = 27.87
  • 75.35 + 27.87 = 103.22

On the fourth day I will have: 103.22 microorganisms.

  • 103.22 ÷ 100 = 1.0322
  • 1.0322 x 37% = 38.19
  • 103.22 + 38.19 = 141.41

On the sixth day I will have 141.41 microorganisms.

  • 141.41 ÷ 100 = 1.4141
  • 1.4141 x 37% = 52.32
  • 141.41 + 52.32 = 193,73

On the eighth day I will have 193.73 microorganisms.

  • 193.73 ÷ 100 = 1.9373
  • 1.9373 x 37% = 71.68
  • 193.73 + 71.68 = 265.41

On the tenth day I will have 245.41 microoganisms.

Learn more about percentages in: brainly.com/question/13450942

#SPJ1

3 0
1 year ago
Hannah is making cushions for her new bed.
alex41 [277]

Answer:

paso a paso

Step-by-step explanation:

cm es centimetros

haci que si tu rienes una que tienes cuanto equivale

tienes que sumar lo qie es igual osea cm lo tienes que multiplicar por 7 igual con los demas espero que te sirva

4 0
3 years ago
Elise built a large rectangular vegetable garden that is 9 meters long and has an area of 72 square meters.
taurus [48]

Answer: 34 meters.

Step-by-step explanation;

Step One. Find the value of the width. Use an equation with w representing the width and the two values you already have. 9 meters x w = 72 square meters.

Step Two. Solve for width. This is w = 8.

Step Three. Use the value for width in a perimeter formula to calculate the perimeter; 9(2) + 8(2). <em>This is 34 meters for perimeter</em>.

6 0
3 years ago
Read 2 more answers
Please answer this correctly
Nana76 [90]

20% of the students chose a cupcake = 20 / 100: Shade 20 squares.

20 / 100 = x / 55

100x = 1100

x = 11 students who chose a cupcake

Hope this helps!! :)

8 0
3 years ago
Class A has 11 pupils and class B has 15 pupils.
Pavlova-9 [17]

Answer:

The mean score in the math test for class B=28.47

Step-by-step explanation:

<em>Step 1: Determine the total number of students in both Classes</em>

Total number of students=number in class A+number in class B

where;

number in class A=11 pupils

number in class B=15 pupils

replacing;

Total number of students=11+15=26 students

<em>Step 2: Determine total score for both classes</em>

Total score for both classes=total score for class A+total score for class B

total score for both classes=mean score for both classes×total number of students

total score for both classes=(49×26)=1,274

total score for class A=mean score for class A×total number of class A students

total score for class A=(77×11)=847

total score for class B=mean score for class B×total number of class B students

total score for class B=m×15=15 m

replacing;

1,274=847+15 m

15 m=1,274-847

15 m=427

m=427/15=28.47

The mean score in the math test for class B=28.47

7 0
3 years ago
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