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Alika [10]
3 years ago
14

Gas prices in Cook county are at $3.30 per gallon. If a market scientist predicts a 20% increase in the price of gas in the comi

ng month, what will the price of gas be?
Mathematics
1 answer:
nevsk [136]3 years ago
5 0
3.30*1.2=3.96
$3.96 will be the new price of gas
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2) Line segment MK has endpoints at (2, 3) and (5, ?4). Segment M'K' is the reflection of MK over the y-axis. Which statement de
Marianna [84]

Answer:

Option C -M'K' is the same length as MK

Step-by-step explanation:

Given : Line segment MK has endpoints at (2, 3) and (5,4)

               M'K' is the reflection of MK over the y-axis

By definition of reflection: reflection of point (x,y) across the the y-axis is the point (-x,y)

which implies M'K' has end points (-2,3) and (-5,4)

Now, we find the length of MK

let (x_1,y_1)=(2,3)\\\\(x_2,y_2)=(5,4)

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

⇒ d=\sqrt{(2-5)^2+(4-3)^2}

⇒d=\sqrt{9+1}

⇒d=\sqrt{10}   ....(1)

Now, we find the length of M'K'

let (x_1^{'},y_1^{'})=(-2,3)\\\\(x_2^{'},y_2^{'})=(-5,4)

d^{'}=\sqrt{(x_2^{'}-x_1^{'})^2+(y_2^{'}-y_1^{'})^2}

⇒ d^{'}=\sqrt{(-2+5)^2+(3-4)^2}

⇒d^{'}=\sqrt{9+1}

⇒d^{'}=\sqrt{10} .....(2)

from (1) and (2) we simply show that the length of MK and M'K' is equal

we can also refer the figure attached for reflection of MK and M'K'

therefore, Option C is correct


3 0
4 years ago
Read 2 more answers
Find the height of a rectangular pyramid with a length of 15.8 meters, a width of 9.2 meters, and a volume of 1235.56 cubic mete
slamgirl [31]

Answer:25.5

Step-by-step explanation:

4 0
3 years ago
If 99 candies are needed to fill in a jar, calculate the total candies needed to fill in 108 jars.​
navik [9.2K]

Answer:

10,692 candies

Step-by-step explanation:

6 0
3 years ago
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The lengths of two sides of a triangle are shown below:
kifflom [539]

Answer:

Part A: 5x² + 7x - 4

Part B: 5x³ - x² - 8x + 1

Part C: Yes.

Step-by-step explanation:

Part A: The length of two sides of a triangle are given by

Side 1: 3x² - 2x - 1

Side 2: 9x + 2x² - 3

Now, the total length of the two sides, 1 and 2, of the triangle will be

= (3x² - 2x - 1) + (9x + 2x² - 3)

= 5x² + 7x - 4 (Answer)

Part B: If the length of the third side is y and the perimeter of the triangle is (5x³ + 4x² - x - 3), then

y = (5x³ + 4x² - x - 3) - (5x² + 7x - 4) = 5x³ - x² - 8x + 1 (Answer)

Part C: The answers in the part A and part B are closed under addition and subtraction. (Answer)

7 0
4 years ago
8. Line ZX and Line WY are secants of circle V, as shown below.
lisabon 2012 [21]

Answer: take a protractor to the unkown sides to find the angle degrees and to check add them up and see if it is 360 degrees

Step-by-step explanation:

6 0
3 years ago
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