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Pachacha [2.7K]
3 years ago
5

A pelican dives straight down from 50.7 feet above the ocean and catches a fish 5.6 feet under the water. What is the total dist

ance, in feet, that the pelican traveled? Enter your answer as a decimal in the box.
Mathematics
1 answer:
steposvetlana [31]3 years ago
6 0
The total answer would be 45.1 (Also would you mind to make me brainiest?)
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Dilate by a scale<br> factor of 1/2<br> AL<br> D
Firdavs [7]

Answer:

The image triangle ΔD'L'W' after the dilation by a scale factor of 1/2 will have the vertices:

  • D' (0, 1)
  • L' (1/2, 5/2) or L'(0.5, 2.5)
  • W' (5/2, 2) or W'(2.5, 2)

`The figure of the dilated image is attached below.

Step-by-step explanation:

Given the triangle ΔDLW withe the vertices

  • D(0, 2)
  • L(1, 5)
  • W(5, 4)

As the scale factor 1/2 < 0, thus the image triangle will be smaller than the original triangle.

The rule of dilation is given by

Dilation: (x, y)  →  (1/2x, 1/2y), centered at (0, 0)

D(0, 2)  → D' (1/2x, 1/2y) → D' (1/2(0), 1/2(2)) = D' (0, 1)

L(1, 5)  → L'(1/2x, 1/2y) →  L'(1/2(1), 1/2(5)) = L' (1/2, 5/2)

W(5, 4)  → W'(1/2x, 1/2y) →  W'(1/2(5), 1/2(4)) = W' (5/2, 2)

Therefore, the image triangle ΔD'L'W' after the dilation by a scale factor of 1/2 will have the vertices:

  • D' (0, 1)
  • L' (1/2, 5/2) or L'(0.5, 2.5)
  • W' (5/2, 2) or W'(2.5, 2)

`The figure of the dilated image is attached below.

7 0
3 years ago
The break even point is the point at which income equals expenses. Ridgemont High School is paying $13,200 for thr writing and r
Nikolay [14]

Answer:880

Step-by-step explanation: They need to cover expense of $13200. If printing fee is $25 and they sell the books for $40 each, then that means when selling a book they cover expense of printing plus they earn $15 per book.

So if they earn $15 per book that means they have to sell 13200/15=880 books to break even.

If you want to solve this by using equation the this would look like this:

expenses: $13200 + $25x where x is number of books sold

earnings: $40x

Equation:

13200+25x=40x

13200=15x

x=880

4 0
3 years ago
HELPPP !! LOOK AT PICTURE
WINSTONCH [101]

Answer:

A) (-infinity,-2] and D) [0,2]

Step-by-step explanation:

7 0
3 years ago
Bryan is getting trained and licensed to be a truck driver.He only has $350 in his bank account. The training is free but gas co
Alexxandr [17]

The answer is A because .13 times 1254 miles equals 163.02 and if you subtract that from the 350 dollars in Bryan's bank account you get A 186.98

6 0
3 years ago
what is the sum of the first five ferms of a geometric series with a1=10 and r=1/5? express your answer as an important fraction
mote1985 [20]
The sum of any geometric sequence, (technically any finite set is a sequence, series are infinite) can be expressed as:

s(n)=a(1-r^n)/(1-r), a=initial term, r=common ratio, n=term number

Here you are given a=10 and r=1/5 so your equation is:

s(n)=10(1-(1/5)^n)/(1-1/5)  let's simplify this a bit:

s(n)=10(1-(1/5)^n)/(4/5)

s(n)=12.5(1-(1/5)^n) so the sum of the first 5 terms is:

s(5)=12.5(1-(1/5)^5)

s(5)=12.496

as an improper fraction:

(125/10)(3124/3125)

390500/31240

1775/142
6 0
3 years ago
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