Is it any fraction? if so 6/16 and 2/8 are equivalent
Answer:
7. C
8. D
Step-by-step explanation:
7. The interest rate is 8% or .08. You find that by solving I=Prt (interest=original amount*rate*time in years)
8. The discounted price would be $48 (80*(1-.40)) Then you multiply that 48 by .08 and add that amount to the $48.
For the bottom, to find the top side of the triangle, 10-4, as seen from the top and bottom sides of the rectangle. So 6.
To find the left side of triangle, subtract 12 from 8. 12 from the left and 8 from the rectangle. This gives you 4.
Now that we have 6 and 4, we can find the area:
A= ab/2
A= (6*4)/2
A=24/2
A=12 mm^2
Answer:
Just put it in Geogebra classic. It's an app that helps very much with functions!
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.
