Answer:
See below
Step-by-step explanation:
<u>Point -slope form is:</u>
By having one set of coordinates and knowing the value of the slope (m in the equation) you can use the form.
<u>How to find the slope?</u>
Here you need 2 points: Point 1 with coordinates x1, y1 and point 2 with the coordinates x2, y2
<u>Use the formula:</u>
<u>Example:</u>
- m = -5, and one of the points has coordinates (9, 2) then point-slope form is:
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.
9514 1404 393
Answer:
- 127.32 yards diameter
- 12,732.4 square yards area
Step-by-step explanation:
The diameter can be found from the circumference using the relation ...
C = πd
d = C/π = (400 yd)/π ≈ 127.32 yd . . . . diameter
The area is ...
A = πr²
where the radius (r) is half the diameter.
A = π(63.662 yd)² ≈ 12,732.4 yd² . . . . area
_____
<em>Additional comment</em>
We have used a full-precision value for pi. If you use 3.14, your answers will be different. Your diameter will be about 127.4 yards; your area about 12,738.9 yd².
