Each inch in the map is equivalent to 8 miles.
Explanation:
There is a distance of 24 miles between two parks. This 24 miles is represented by an 8-inch gap in the map.
So 8 inches on that particular map = 24 miles in real life.
To find the distance that an inch on the map represents we must divide both sides of the above equation. Since we need to calculate how much distance 1 inch represents we divide both the sides by 8 so that 8 inches on the map changes into 1 inch.
inches on the map = 
miles between the two parks in real life,
1 inch on that particular map = 3 miles in real life.
So each inch on the given map is equal to 8 miles in real life.
9x+15=8x
subtract 15 and 8x from both sides to get
x=-15
Answer:
x ∈ {2π/3, π, 4π/3} ≈ {2.09440, 3.14159, 4.18879}
Step-by-step explanation:
The equation can be put into standard form by adding 1:
2cos²(x) +3cos(x) +1 = 0
(2cos(x) +1)(cos(x) +1) = 0
Values of cos(x) that make this true* are ...
cos(x) = -1/2 . . . . . . . . . true for x=2π/3, x=4π/3
cos(x) = -1 . . . . . . . . . . . true for x=π
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A graphing calculator can be helpful here, too.
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* from your knowledge of the short table of trig functions and their signs in different quadrants
Answer:
Use this to answer your question :)
Step-by-step explanation:
The area of a triangle is defined as the total region that is enclosed by the three sides of any particular triangle. Basically, it is equal to half of the base times height, i.e. A = 1/2 × b × h.
Answer:
<em><u>x</u></em><em><u> </u></em><em><u>=</u></em><em><u> </u></em><em><u>-4</u></em>
Step-by-step explanation:
First Expand :
6(x - 3)
= 6x - 18
Now you need to Simplify:
6x - 18 = -42
And now get the 6x by itself by doing this :
6x - 18 = -42
+18 +18
= > 6x = -24
And 6 x 4 = 24
But 6 x -4 = -24
So :
6x/6 and -24/6
= >> x = -4
