The answer is <span>B. 14(m − 8)
</span>
<span>m represent the weight of the boxes that Marco lifted.
</span><span>d represent the weight of the boxes that Drew lifted.
</span><span>The boxes that Drew lifted each weighed 8 lb less than the boxes Marco lifted:
d = m - 8
So the weight of one box that Drew lifted is (m - 8). Since he lifted boxes, the </span><span>total number of pounds Drew lifted is </span> 14(m - 8)
Are you asking for the expression?
If so, you plug into the format (x - h)² + (y - k)² = r² where (h, k) is the center and r is the radius.
(x + 2.5)² + (y + 4.4)² = (7/4)²
Simplify to get your equation and answer:
(x + 2.5)² + (y + 4.4)² = 49/16
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:
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