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Elis [28]
3 years ago
8

Find the perimeter of the triangle whose vertices are the following specified points in the plane. (4,−7),(−10,−4) and (3,−7)

Mathematics
1 answer:
polet [3.4K]3 years ago
3 0

Answer:

  √205 +√178 +1 ≈ 28.6595

Step-by-step explanation:

The distance formula tells you the distance between points (x1, y1) and (x2, y2) is ...

  d = √((x2 -x1)^2 +(y2-y1)^2)

Taken pairwise, the distances between the given points are ...

  d1 = √((-10-4)^2 +(-4-(-7))^2) = √(196+9) = √205

  d2 = √((3-(-10))^2 +(-7-(-4))^2) = √(169+9) = √178

  d3 = √((4-3)^2 +(-7-(-7))^2) = √1 = 1

Then the sum of the distances gives the perimeter:

  P = d1 +d2 +d3 = √205 +√178 +1 ≈ 28.6595

_____

In the attached figure, the distance "a" is the sum of the two long sides of the triangle.

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Please help...
Lina20 [59]

Answer:

850

Step-by-step explanation:

To get my answer, I divided 150 by 17. (The survey of people and the # of them under 21) I got 8.8235. Next, I divided 7500 (the total of people in the stadium) by 8.8235 (the decimal that I got above) I got 850.

To check my answer, I divided 7500 by 850 and got 8.8235, the same ratio as the survey.

6 0
3 years ago
When doing blood testing for a viral infection, the procedure can be made more efficient and less expensive by combining partial
Verdich [7]

Answer: 0.271

Step-by-step explanation:

Probability of complement of an even is 1 decreased by the probability of the event

P(At least one) =1 - P(none)

The probability that of testing negative is 0.9 because the probability of testing positive is 0.1

P( at least one) = 1 - P(none) = 1 - (0.93^3) = 0.271

7 0
3 years ago
Your sock drawer has six white socks, six brown socks, and four black socks. you randomly pick two socks and get a matching pair
Helen [10]
Total socks in the drawers = 6 + 6 + 4 = 16 

Probability of picking the first black sock = 4/16
Probability of picking the second black sock = 3/15

Probability of picking two black socks = 4/16 × 3/15 = 1/20
4 0
4 years ago
Write the ratio of the first measurement to the second measurement. Compare in inches. 5 feet to 11 inches
Sergeeva-Olga [200]

Answer:

60in : 11in

Step-by-step explanation:

12 inches in 1 foot.

12in. * 5ft.

5 0
3 years ago
Given m || n, find the value of x and y
Anika [276]

Answer:

x = 16 and y = 121

Yes, its a long process.

Step-by-step explanation:

vertical angles are congruent given that: we do this

(4x-5)+(4x-5)+y+y=360

or

2(4x-5)+2y=360

divide both sides by 2

(4x-5)+y=180

distribute (there is an invisible 1 beside the parentheses of 4x-5)

4x-5+y=180

add 5 to both sides

4x+y = 185

subtract y from both sides

4x = 185-y

divide both sides by 4

x = (185-y)/4

note that (4x-5) is also EQUAL to (3x+11)

4x-5=3x+11

subtract 3x from both sides

x-5=11

add 5 to both sides

x = 16

Now that we know what x is, we can substitute it in the equation we got from 2(4x-5)+2y=360

Our equation was

x = (185-y)/4

16 = (185-y)/4

Multiply both sides by 4

64 = 185-y

Subtract 185 from both sides

-121=-y

multiply both sides by -1

121 = y

7 0
3 years ago
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