Answer:
The cosine of the angle is 4/5.
Step-by-step explanation:
An acute angle is between 0º and 90º, in the first quadrant of the trigonometric circle, in which both the sine and the cosine are positive values.
For each angle
, we have that:

We have that:

So




The cosine of the angle is 4/5.
Answer:
The length of the BC is 25 units .
Step-by-step explanation:
As shown in the diagram
In ΔABC
∠B = ∠C (As given)
(If the angles are equal than their opposite sides are also equal .)
Thus
AB = BC
As given
AB = 4x + 4
AC = 6x - 14
Thus
4x + 4 = 6x - 14
6x - 4x = 14 + 4
2x = 18

x = 9
Put in the
BC = 2x + 7
= 2 × 9 + 7
= 18 + 7
= 25 units
Therefore the length of the BC is 25 units .
Answer:
-2 +/- [(sqrt 88)/ 4]
or
0.35, -4.35 to the nearest hundredth.
Step-by-step explanation:
2x^2 + 8x - 3 = 0
Using the quadratic formula:
x = [ -8 +/- sqrt (8^2 - 4*2*-3) ] / 4
= -2 +/- (sqrt 88)/ 4
*im sorry but I cant see the bottom number but I'll consider it as x
tan 45° = 3/x
x = 3/tan45
x is 3
hope this helps :)