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
Answer:
Hi
Step-by-step explanation:
The function shown in the graph is a linear function, for a given linear function, the initial value is obtained at y-intercept. The y-intercept is the point where the graph cuts the y-axis. At this point the value of x is zero. Thus from the graph given, the point x=0 at y=2, hence the initial value is y=2.
Answer: y=2
Answer:
surface area=2816 m² & volume =205.33m³
Step-by-step explanation:
here
diameter of base (d) -28 m
radius(r) = d/2=14 m
vertical height of cone (h)-48 m
slant height of cone (l)-50 m
surface area (TSA)-?
volume (v)-?
we know
TSA=(pie*r*l)+pie*r*r
=pie*r(l+r)
=22/7* 14(50+14)
=22*2(64)
=22*128
=2816 m²
again
v=1/3 pie*r*r
=1/3*22/7*14*14
=1/3*22*2*14
=205.33 m³
we are going to proceed as follows: 
equation (1)
equation (1)
in equation (2)
equation (3)
