Answer:
7. 2355 m
8. 1570 km
9. 157 cm
10. 40.82 m
Step-by-step explanation:
The circumference of a circle is pi * diameter or 2 * pi * radius.
If you are given the diameter, just multiply it by pi, 3.14.
If you are given the radius, then multiply the radius by 2 and then by pi, 3.14.
7. d = 750 m
circumference = pi * d = 3.14 * 750 m = 2355 m
8. d = 500 km
circumference = pi * d = 3.14 * 500 km = 1570 km
9. r = 25 cm
circumference = 2(pi)r = 2 * 3.14 * 25 cm = 157 cm
10. r = 6.5 m
circumference = 2(pi)r = 2 * 3.14 * 6.5 m = 40.82 m
Answer:
omg someone help asap!1
Step-by-step explanation:
(a) Yes all six trig functions exist for this point in quadrant III. The only time you'll run into problems is when either x = 0 or y = 0, due to division by zero errors. For instance, if x = 0, then tan(t) = sin(t)/cos(t) will have cos(t) = 0, as x = cos(t). you cannot have zero in the denominator. Since neither coordinate is zero, we don't have such problems.
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(b) The following functions are positive in quadrant III:
tangent, cotangent
The following functions are negative in quadrant III
cosine, sine, secant, cosecant
A short explanation is that x = cos(t) and y = sin(t). The x and y coordinates are negative in quadrant III, so both sine and cosine are negative. Their reciprocal functions secant and cosecant are negative here as well. Combining sine and cosine to get tan = sin/cos, we see that the negatives cancel which is why tangent is positive here. Cotangent is also positive for similar reasons.
Answer:
x = 7
Step-by-step explanation:
To solve:
Distribute 5 among everything inside the first parentheses. You'll get 5x - 15.
Next distribute -2 among everything in the second parentheses. You'll get
-2x - 2.
<u>All together: 5x - </u><u>15</u><u> </u><u>-</u><u>2x </u><u>-</u><u> </u><u>2</u><u> </u><u>= 4</u>
Now combine like terms:
5x - 2x = 3x and -15 - 2 = - 17
<u>All</u><u> </u><u>together</u><u>: 3x -</u><u> </u><u>17 = 4</u>
Add 17 on both sides to get 21, and then divide both sides by 3. Answer is x = 7.
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Last, don't forget to check your work.
You can plug in 7 for x to get:
5(7 - 3) = 20
5 × 7 = 35
5 × -3 = -15
35 - 15 = 20
-2(7 + 1) = -16
-2 × 7 = -14
-2 × 1 = - 2
-14 -2 = -16
<u>20 - 16 = 4</u>
⬆⬆⬆Therefore this is correct.
Sorry this is a bit lengthy, but hope this helps :)
It would be 8.5 because all you have to do is add 3 to 2.5 then you’ll get 5.5 then do that one more time.
