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AnnyKZ [126]
3 years ago
8

PointJ-2.1) and point K(45) form line segment JR. For the point P that partions JK in the ratio 3.7, what is the y-coordinate of

P?
Mathematics
1 answer:
inessss [21]3 years ago
5 0
The coordinates of point P would be (2.6, 1.6).

The ratio of the sides being 3:7 means that the segment JP would be 3/10 of the total and PK would be 7/10 of the segment.  

The slope of JK is given by finding the rise/run; in this case that is 4/2=2.  Since JP is 3/10 of the segment, we add 3/10 of the rise to the x-coordinate and 3/10 of the run to the y-coordinate:

(3/10(2)+2, 3/10(2)+1)
=(6/10+2, 6/10+1)
=(2.6, 1.6)
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babunello [35]

Answer:

the answer is D

Step-by-step explanation:

8 0
3 years ago
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39/51 change to lowest terms
OLEGan [10]

Answer:

As a proper fraction  - 39/51 = 13/17

As a decimal number:  39/51 ≈ 0.76

As a percentage:  39/51 ≈ 76.47%

Step-by-step explanation:

Calculate the greatest (highest) common factor (divisor), gcf (gcd).

13/17 =

13 ÷ 17 =

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7 0
3 years ago
Malik's arts and crafts shop has a bolt of crimson velvet 32 meters long. A customer came in during the morning and bought 120 c
vladimir2022 [97]

Answer:

Amount of crimson velvet left = 3200 -  120 - 1400 = 1680  cm

Step-by-step explanation:

The arts and craft shop has a bolt of crimson velvet of 32 meters long. A customer bought 120 centimetres of the velvet. In the afternoon another customer bought 14 meters. The remaining length of crimson velvet Malik shop possess after the morning and afternoon sales can be calculated below.

The total length of the crimson velvet = 32 meters. Since our answer should be in centimetre we will convert all the units to cm.

total length = 32 m

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32 m = ?

cross multiply

total length in cm = 32 × 100 = 3200 cm

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The second customer bought 14 m so let convert again.

1 m = 100 cm

14 m = ?

cross multiply

the second customer length in cm = 14 × 100 = 1400 cm

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8 0
3 years ago
Find the area of the regular polygon,2√3 and 5
OLga [1]

Answer

Correct option is

D

5 cm

△ABC is an equilateral △

∴Area=  

4

3

​  

 

​  

a  

2

=75  

3

​  

⟹ a  

2

=300

a=10  

3

​  

cm

AM=MC=  

2

10  

3

​  

 

​  

=5  

3

​  

cm

Area =  

2

1

​  

×AC×BM

75  

3

​  

=  

2

1

​  

×10  

3

​  

×BM  

∴BM=15cm

△AOC,△BOC and △AOB are of equal area

∴ar(△AOC)=  

3

1

​  

ar(△ABC)=  

3

1

​  

×75  

3

​  

=25  

3

​  

cm  

2

 

In △AOC,

ar(△AOC)=  

2

1

​  

×AC×OM

⇒25  

3

​  

=  

2

1

​  

×10  

3

​  

×OM  

∴OM=5cm Ans.

4 0
3 years ago
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Lena [83]

Answer:

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Step-by-step explanation:

The vertical extent of the function is its <em>range</em>. Here, that extent is from y=2 to y=5, except that y=5 is <em>not included</em> (indicated by the open circle on the graph). So, the range is ...

  2 ≤ y < 5

In interval notation, we use a square bracket when the end point is included, and a curved parenthesis when it is not.

  range: [2, 5)

3 0
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