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alex41 [277]
3 years ago
15

Find the coordinates of point PP along the directed line segment ABAB, from A(8, 0)A(8, 0) to B(3,−2)B(3,−2), so that the ratio

of APAP to PBPB is 11 to 44. A(8, 0), B(3,−2)A(8, 0), B(3,−2) The coordinates are P
Mathematics
1 answer:
timurjin [86]3 years ago
4 0
Let the coordinate of P be (x, y), then
(x, y) = ((44(8) + 11(3))/(11 + 44), ((44(0) + 11(-2))/(44 + 11)) = ((352 + 33)/55, -22/55) = (7, -0.4)

The coordinates of P are (7, -0.4)
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The ratio of ages of kissi and esinam is 3:5 and esinam is 3:5 The sum of ages of all 3 is 147 years.whats the age difference be
Sergio039 [100]

Answer:

48 years.

Step-by-step explanation:

Consider the complete question is "The ratio of ages of kissi and esinam is 3:5 and that of esinam and lariba is 3:5. The sum of ages of all 3 is 147 years. whats the age difference between oldest and youngest ?"

It is given that

Kissi : Esinam = 3:5 = 9:15

Esinam : Lariba = 3:5 = 15:25

So, the combined ratio is Kissi : Esinam : Lariba = 9:15:25

Let ages of Kissi, Esinam, Lariba are 9x, 15x and 25x.

Sum of ages of all 3 is 147 years.

9x+15x+25x=147

49x=147

x=3

The value of x is 3. So, the age of all three are

Kissi=9x=9(3)=27

Esinam=15x=15(3)=45

Lariba=25x=25(3)=75

Since Lariba is oldest and Kissi is youngest, therefore, the difference between their ages is

75-27=48

Hence, difference between oldest and youngest is 48 years.

8 0
3 years ago
What the range of 80,84,86,87,90,91,92,94,100
inessss [21]

Answer:

20

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Step-by-step explanation:

the range is the difference between the values of the largest and smallest values. You can figure this out with subtraction.

Largest number: 100

Smallest number: 80

Range: 20

6 0
3 years ago
Which box will hold more?
o-na [289]

Answer:

box X with 126 sq. cm.    i hope this helps   :)

Step-by-step explanation:

okay so we have box X which is 6 * 3 * 7 = 126

then we have box Y which is 11 * 2 * 5 = 110

so box X will hold more

6 0
3 years ago
This is 10 points plz help ( ONLY ANSWER THIS IF YOU HAVE AN EXPLANATION AND IF YOU KNOW WHAT THE ANSWER IS)
Alenkinab [10]

Answer:

d = x + 90

Step-by-step explanation:

Total dollars to be paid by Mr. Sykes = Rent for the boat for 3 hours + cost of damage

= 90 + x

6 0
2 years ago
Read 2 more answers
A student repeatedly measures the mass of an object using a mechanical balance and gets the following values: 560 g, 562 g, 556
MrRissso [65]

Answer: 2.76 g

Step-by-step explanation:

The formula to find the standard deviation:-

\sigma=\sqrt{\dfrac{\sum(x_i-\overline{x})^2}{n}}

The given data values : 560 g, 562 g, 556 g, 558 g, 560 g, 556 g, 559 g, 561 g, 565 g, 563 g.

Then,  \overline{x}=\dfrac{\sum_{i=1}^{10} x_i}{n}\\\\\Rightarrow\ \overline{x}=\dfrac{560+562+556+558+560+556+559+561+565+563}{10}\\\\\Rightarrow\ \overline{x}=\dfrac{5600}{10}=560

Now, \sum_{i=1}^{10}(x_i-\overline{x})^2=0^2+2^2+(-4)^2+(-2)^2+0^2+(-4)^2+(-1)^2+1^2+5^2+3^2\\\\\Rightarrow\ \sum_{i=1}^{10}(x_i-\overline{x})^2=76

Then, \sigma=\sqrt{\dfrac{76}{10}}=\sqrt{7.6}=2.76

Hence, the  standard deviation of his measurements = 2.76 g

6 0
3 years ago
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