Answer:
The exact value of tan(M) is 5/12 ⇒ answer (C)
Step-by-step explanation:
* Lets revise the trigonometry functions
- In ΔABC
# m∠B = 90°
# Length of AB = a , length of BC = b and length of AC = c
# The trigonometry functions of angle C are
- sin(C) = a/c ⇒ opposite side to ∠C ÷ the hypotenuse
- cos(C) = b/c ⇒ adjacent side to ∠C ÷ the hypotenuse
- tan(c) = a/b ⇒ opposite side to ∠C ÷ adjacent side to ∠C
* Now lets solve the problem
- In ΔONM
∵ m∠N = 90°
∵ MN = 12
∵ ON = 5
∵ tan(M) = ON/NM ⇒ opposite side of ∠(M) ÷ adjacent side of ∠(M)
∴ tan(M) = 5/12
* The exact value of tan(M) is 5/12
1) pages per minute is the rate. the rate is the slope pages/minutes = .4
y=.4x or y=2/5(x)
2)birdhouses per day is the slope. = .6
y=.6x or y=3/5(x)
3) miles per hour is the slope. 500/8=62.5
y=62.5x
4) square feet per minute is the slope. 40/9 =4.444444444
y=4.4444444444x or y=40/9(x)
5)miles per minutes is the rate. 5/41 is the slope.
y=5/41(x)
6) the rate is square feet per minute. 450/30=15
y=15x
Answer:
[-1, 9], [-2, 10], [-3, 11], [1, 7]
Step-by-step explanation:
Starting from the y-intercept of [0, 8], I did <em>rise</em><em>\</em><em>run</em><em> </em>by moving one block <em>north</em><em> </em>over <em>one</em> block <em>west</em><em> </em>for the first three coordinates, but retracing back to the y-intercept, I moved one block <em>south</em><em> </em>over <em>one</em> block <em>east</em> for the last coordinate. It does not matter where you go, as long as you follow the pattern within this <em>rate</em><em> </em><em>of</em><em> </em><em>change</em><em> </em>[<em>slope</em>].
I am joyous to assist you anytime.
Area = 24*Pi ft²
Area = Pi*r²
Pi*r² = 24*Pi
Canceling out Pi
r² = 24
Take square root of both sides
r = √24
r ≈ 4.899
Circumference = 2*pi*r
≈ 2*pi*4.899
≈ 2*3.141*4.899
≈ 30.78
Circumference ≈ 30.78 units.
Hope this explains it.
