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Feliz [49]
3 years ago
8

Anika is hiking on a rectangular trail at the national Park. There are four resting spots along the corners of the trail. On the

map they are marked with coordinates of (-2,2), (1,2,) (1,-2), and (-2,-2). If each unit represents 1 mile find the perimeter of the trail in miles using the coordinates
Mathematics
2 answers:
lyudmila [28]3 years ago
7 0

Answer:

Step-by-step explanation:

The distance from (-2,2) to (1, 2) is the distance from x=-2 to x=1 along the line y=2. That horizontal distance is 1-(-2) = 3. The distance from (1, -2) to (-2, -2) is the same along the horizontal line y=-2.The distance from (1, 2) to (1, -2) is the distance from y=2 to y=-2 along the line x=1. That vertical distance is 2-(-2) = 4. The distance from (-2, -2) to (-2, 2) is the same along the vertical line x=-2.So, the trail has two legs of length 3 and two legs of length 4. The total length of the trail (the perimeter of the rectangle) is ...   2·3 +2·4 = 2·(3+4) = 14 . . . . miles

hope this helps from the web

umka21 [38]3 years ago
4 0

Answer:

  14 miles

Step-by-step explanation:

The distance from (-2,2) to (1, 2) is the distance from x=-2 to x=1 along the line y=2. That horizontal distance is 1-(-2) = 3. The distance from (1, -2) to (-2, -2) is the same along the horizontal line y=-2.

The distance from (1, 2) to (1, -2) is the distance from y=2 to y=-2 along the line x=1. That vertical distance is 2-(-2) = 4. The distance from (-2, -2) to (-2, 2) is the same along the vertical line x=-2.

So, the trail has two legs of length 3 and two legs of length 4. The total length of the trail (the perimeter of the rectangle) is ...

  2·3 +2·4 = 2·(3+4) = 14 . . . . miles

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This is a right triangle, so AC is a hypotenuse. The other angles are each 45 degrees, so the legs AB and BC are equal length. a^2 + b^2 = c^2 a = b 2a^2 = (5sqrt2)^2 = 50 a^2 = 25 a = 5 Answer: 5
4 0
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Given the arithmetic sequence an = 4 − 3(n − 1), what is the domain for n? All integers where n ≥ 1 All integers where n > 1
krok68 [10]

All integers where n ≥ 1.

We have given that the sequence,

a_{n} =4-3(n-1)

We have to find the domain for n.

<h3>What is the meaning of arithmetic sequence?</h3>

Arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant. Difference here means the second minus the first.

That is, a_{n} =a+(n-1)d

where a = first term of sequence.

d =common difference.

n =number of terms which belongs to natural numbers

By  the definition of arithmetic sequence n starts with 1

Remember that,the natural number starts with 1

Now, in given sequence  for nth term

a_{n} =4-3(n-1)

The domain for n is All integers where n ≥ 1.

To learn more about the arithmetic sequence visit:

brainly.com/question/20118982

4 0
2 years ago
Mr. Tindell divided a 6th grade class Of 80 students an into equal groups the number of students in each group was a prime numbe
zubka84 [21]

Answer:

He made 16 groups which means 5 Students in each group

Step-by-step explanation:

Because 80 divided by 16 is 5 and 5 is a prime number

3 0
3 years ago
Suppose that a brand of lightbulb lasts on average 1730 hours with a standard deviation of 257 hours. Assume the life of the lig
Debora [2.8K]

Answer:

P [  1689  ≤   X  ≤  2267 ]  = 54,88 %

Step-by-step explanation:

Normal Distribution

Mean        μ₀  =  1730

Standard Deviation      σ  = 257

We need to calculate  z scores for the values   1689     and      2267

We apply formula for z scores

z =  ( X -  μ₀ ) /σ

X = 1689     then

z = (1689 - 1730)/ 257      ⇒ z = - 41 / 257

z  = -  0.1595

And from z table we get  for  z =  - 0,1595

We have to interpolate

        - 0,15          0,4364

        - 0,16          0,4325

Δ  =   0.01           0.0039

0,1595  -  0,15  =  0.0095

By rule of three

0,01                  0,0039

0,0095                 x ??      x  =  0.0037

And    0,4364  -  0.0037  = 0,4327

Then    P [ X ≤ 1689 ]  =  0.4327     or    P [ X ≤ 1689 ]  = 43,27 %

And for the upper limit  2267  z  score will be

z  =  ( X - 1730 ) / 257       ⇒  z =  537 / 257

z  =  2.0894

Now from z table   we find  for score   2.0894

We interpolate and assume  0.9815

P [ X ≤ 2267 ]  =  0,9815

Ths vale already contains th value of   P [ X ≤ 1689 ]  =  0.4327

Then we subtract  to get    0,9815  -  0,4327   = 0,5488

Finally

P [ 1689  ≤   X  ≤  2267 ]  =  0,5488  or  P [  1689  ≤   X  ≤  2267 ]  = 54,88 %

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3 years ago
Yolanda is planning to put a pool in her backyard. The scaled model below gives the reduced measures for diameter and depth. Not
VMariaS [17]
Correct Answer: 
C option: 6 feet

Solution:
Since <span>Yolanda wants to keep the pool in proportion to the model, the ratio of diameter to depth of model and the pool will be same.

Let the depth of pool is x feet. So we can write:

Ratio of Diameter to Depth of Model = Ratio of Diameter to Depth of pool
</span>18:4=27:x \\  \\ &#10; \frac{18}{4} = \frac{27}{x} \\  \\ &#10;x=27* \frac{4}{18}  \\  \\ &#10;x=6
<span>
This means the depth of pool should be 6 feet if </span><span>Yolanda wants to keep the pool in proportion to the model.</span>
7 0
3 years ago
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