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:
10%
Step-by-step explanation:
In the image attached below, we can see that there are
8 tiles of letter O
2 tiles of letter V
This means that there are 10 total tiles of the letters that you want to get (O and V). Since there are a total of 100 tiles we need to divide this value by 100 to get the probability of getting one of these tiles.
10 / 100 = 0.10 or 10%
Finally, we can see that the probability of selecting a O or a V is 10%
Answer:
y = -4x + 7
Step-by-step explanation:
Plug in the values into y = mx + b
Answer:
8 pints
Step-by-step explanation:
A pint is 16 ounces = 2 cups
8 pints is then 16 cups
Answer: Joe began with 36 books.
Step-by-step explanation:
x/2+18=36. 36+18=x. x/2-18=36.
