Answer:
tan (C) = 2.05
Step-by-step explanation:
Given:
A right angled triangle CDE right angled at ∠D.
Side CD = 39
Side DE = 80
Side CE = 89
We know, from trigonometric ratios that, the tangent of any angle is equal to the ratio of the opposite side to the angle and the adjacent side of the angle.
Therefore, tangent of angle C is given as:

Plug in the given values and solve for angle C.This gives,

Therefore, the measure of tangent of angle C is 2.05.
Answer: Option 'B' is correct.
Step-by-step explanation:
Since we have given that
[3.2] [2.7] [2.9] [4.8]
Since they are all of greatest integer functions i.e.
f(x) = [x]
It is known as greatest integer function whose value is always less than or equal to 'x'.
So, [3.2]=3
[2.7]=2
[2.9]=2
[4.8]=4
so, we can see that [2.7] and [2.9] is a equivalent pair.
Hence, Option 'B' is correct.
Answer:
= -2x
Step-by-step explanation:
3x and -5x are like terms and -10 and 10 are also like terms. like terms can be added together
= -2x cause the 10's cancel out
Answer:
He will finish the biking at 6:30 pm
Step-by-step explanation:
1/4 hour is same as 1/4 * 60 = 15 minutes
1 2/5 miles is same as 1.4 miles
He bikes 1.4 miles in 15 minutes
then he will bike 14 miles in 15 * 10 = 150 minutes
150
minutes is same as 2 hours 30 minutes
Adding this to 4 pm, we will get;
6:30 pm
Answer:
z = 55.15432893
x = 59.61543424
y = 22.5166605
Step-by-step explanation:
To find length "z" you will have to use SOHCAHTOA.
Labelling the triangle will show us that the side marked "z" is the hyp and the side marked 39 is the opp.
sin 45 = 
z sin 45 = 39
z = 
z = 55.15432893
Using Pythagoras' theorem, you can find that the adj = 39
In the other triangles POV, the adj is actually the opp.
Therefore, use tangent to find y.
tan 60 = 
y tan 60 = 39
y = 
y = 22.5166605
Use Pythagoras's Theorem to find x.
