Answer:
x
≈
1.90206634
Step-by-step explanation:
3
(
12
x
−
16
)
=
4
(
12
−
x
3
)
Simplify
3
(
12
x
−
16
)
.
36
x
−
48
=
4
(
12
−
x
3
)
Simplify
4
(
12
−
x
3
)
.
36
x
−
48
=
48
−
4
x
3
= 4s - 21
First, simplify
to
/ Your problem should look like:
Second, multiply both sides by 2. / Your problem should look like:
Third, subtract 8s from both sides. / Your problem should look like:
Fourth, simplify s - 8s to -7s. / Your problem should look like:
Fifth, divide both sides by -7. / Your problem should look like:
Sixth, simplify
to
/ Your problem should look like:
Seventh, simplify
to 6. / Your problem should look like:
Answer:
s = 6
Answer:
- 5.8206 cm
- 10.528 cm
- 23.056 cm^2
Step-by-step explanation:
(a) The Law of Sines can be used to find BD.
BD/sin(48°) = BD/sin(50°)
BD = (6 cm)(sin(48°)/sin(60°)) ≈ 5.82064 cm
__
(b) We can use the Law of Cosines to find AD.
AD^2 = AB^2 +BD^2 -2·AB·BD·cos(98°) . . . . . angle ABD = 48°+50°
AD^2 ≈ 110.841
AD ≈ √110.841 ≈ 10.5281 . . . cm
__
(c) The area of ∆ABD can be found using the formula ...
A = ab·sin(θ)/2 . . . . . where a=AB, b=BD, θ = 98°
A = (8 cm)(5.82064 cm)sin(98°)/2 ≈ 23.0560 cm^2
_____
Angle ABD is the external angle of ∆BCD that is the sum of the remote interior angles BCD and BDC. Hence ∠ABD = 48° +50° = 98°.
Answer:
Step-by-step explanation:
