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laila [671]
3 years ago
12

Below is a map of Yellowstone park. The scale for the map is 1cm = 25 miles.

Mathematics
1 answer:
11111nata11111 [884]3 years ago
8 0

Answer:

75 miles

Step-by-step explanation:

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Label the slope and y intercept ​
astra-53 [7]

Answer:

Slope is 5 and y intersept is 5over6

Step-by-step explanation:

3 0
3 years ago
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On a map the distance from Fort Collins to Cheyenne is 3.2 inches. The angle formed at Laramie has measure 43.6º, and the angle
MArishka [77]
We can solve this by drawing a triangle with three points. The first point at Fort Collins (F), the second at Cheyenne (C) and the third at Laramie (L).

The angle at F = 46.5, the angle at L = 43.6. We know the side opposite angle L = 3.2 (side FC), now we must solve for the side opposite angle F (side LC).

We can use the law of sines to solve this where:

sinA/a = sinB/b
sin43.6/ 3.2 = sin46.5/LC
LC = 3.2 (sin46.5/sin43.6)
LC = 3.37 inches

We are told 1 in = 10.6 miles, therefore:

3.37 inches x 10.6 miles/in = 36 miles from Laramie to Cheyenne.
7 0
3 years ago
Decide whether x=2 is a solution of x square+4x-12=0
hjlf

Answer:Yes, it is


Step-by-step explanation:

2^2+4(2)-12=0

4+8-12=0

12-12=0

0=0

7 0
3 years ago
The sequence an = one third (3)n - 1 is graphed below: coordinate plane showing the points 2, 1; 3, 3; and 4, 9 Find the average
charle [14.2K]

9514 1404 393

Answer:

  6

Step-by-step explanation:

The slope of the line between (3, 3) and (4, 9) is given by the slope formula:

  m = <average rate of change> = (y2 -y1)/(x2 -x1)

  m = (9 -3)/(4 -3) = 6/1

  m = 6

The average rate of change on the interval [3, 4] is 6.

7 0
3 years ago
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Which sum or difference identity would you use to verify that cos (180° - ∅) = -cos ∅?
Tom [10]

Answer: Option C is correct


Step-by-step explanation:

We know tha tCos(A-B) = cosA cosB + sinAsinB

Plugging A = 180 and B = Ф

cos(180-Ф)= cos180cosФ+sin180sinФ

                  = (-1) cosФ+ (0) sinФ   [ since cos180=-1 and sin180 =0]

                 = -cosФ + 0

                 = -cosФ

Therefore option C is the correct answer.        

6 0
3 years ago
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