Divide top and bottom by four.
6/7 is the answer
True, because the dilation factor is less than one. This will result in the shape reducing.
Answer:
Volume of square based pyramid = 116.62 cm³
Step-by-step explanation:
Given:
Perimeter of square base = 16.9 cm
Height of pyramid = 19.6 cm
Find:
Volume of square based pyramid
Computation:
Perimeter of square base = 16.9 cm
4[Side] = 16.9
Side = 4.225 cm
Area of square = Side x Side
Area of square = 4.225 x 4.225
Area of square = 17.85 cm²
Volume of square based pyramid = [Area of square][Height of pyramid] / 3
Volume of square based pyramid = [17.85][19.6] / 3
Volume of square based pyramid = 349.86 /3
Volume of square based pyramid = 116.62 cm³
Answer:
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Step-by-step explanation:
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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.
