Answer:
Step-by-step explanation:
Answer:
63 cm^2
Step-by-step explanation:
p = l + w + l + w
32 = 2l + 2w
32 = 2(w + 2) + 2w
32 = 2w + 4 + 2w
32 = 4w + 4
28 = 4w
7 = w
l = w + 2
l = 7 + 2
l = 9
Check your work:
32 = 9 + 7 + 9 + 7
32 = 32
Correct
A = l × w
A = 9 × 7
A = 63
Answer: 7^10
To solve:
7^6/7^-4=
7^6•7^4=
=7^10
Answer:
The triangle has one solution. The remaining side c ≈ 4 and remaining angles B = 30°; C = 31°.
Option D is correct.
Step-by-step explanation:
if angle A is obtuse and if a > b then the triangle has one solution
We are given ∠ = 119° which is obtuse and side a= 7 and side b - 4 i.e 7>4 so, the triangle has one solution.
Finding remaining side c and ∠B and ∠C
Using Law of sines to find ∠B
a/sin A = b/sin B
7/sin 119° = 4/sin B
7 * sin B = 4 * sin 119
7*sin B = 4(0.874)
sin B = 3.496/7
B = sin^-1(0.4994)
B = 29.96 = 30°
We know that sum of angles of triangle = 180°
So, 180° = 119° + 30° +∠C
180° = 149° + ∠C
=> ∠C = 180° - 149°
∠C = 31°
Now finding c
b/sin B = c /sin C
4/Sin 30 = c/sin 31
4* sin 31 = c*sin 30
4*0.515 = c* 0.5
=> c = 4*0.515/0.5
c = 4.12 ≈ 4
So, Option D one solution; c ≈ 4; B = 30°; C = 31° is correct.
Answer:
-3/10
Step-by-step explanation:
4-5(6+4x)=-16
4-30-20x=-16
-26-20x=-16
-20x=-16+26
-20x=6
x=6/-20
x=-3/10