Answer:
∠ACB = 38°
Step-by-step explanation:
∠ACB is an inscribed angle while arcAB is its intercepted arc
An inscribed angle is equal to half the length of its intercepted arc
Hence, ∠ACB = 1/2 the measure of arc AB
arc AB = 76°
Hence ∠ACB = 1/2 of 76
76/2 = 38
Therefore ∠ACB = 38°
Answer:
3.125 in
Step-by-step explanation:
12.5 / 4
Answer:
The values of x that satisfy the given equation are:
x1 = 1.183 + nπ
x2 = -1.183 + nπ
Step-by-step explanation:
Given tan²x - sin²x/sin²x = 5
Simplifying this, we have
tan²x - 1 = 5
Adding 1 to both sides, we have
tan²x = 6
Because tan²x = (tanx)², we can write as
(tanx)² = 6
Taking square roots of both sides, we have.
tanx = ±√6
x = arctan(±√6) + nπ
≈ 1.183 + nπ or -1.183 + nπ
(4-6i)(6-8i)
24-32i-36i+48i²
24 + -68i - 48
-24-68i
Answer:
NOT nets = A, C, D, F
Nets = B, E, G, H
Figure B (Triangular prism)
SA: 3 rectangles + 2 triangles
Rectangles: (20·8) + (20·10) + (20·6) = 480 ft²
Triangles: (8·6)/2 + (8·6)/2 = 48 ft²
Total SA: 528 ft²
Figure E (Square pyramid)
SA: 1 square + 4 triangles
Square: 10·10 = 100 yd²
Triangles: (12·10)/2 + (12·10)/2 + (12·10)/2 + (12·10)/2 = 240 yd²
Total SA: 340 yd²
Figure G (Rectangular prism)
SA = 2 wide rectangles + 4 narrow rectangles
Wide: (7·11) + (7·11) = 154 cm²
Narrow: (2·7) + (2·7) + (11·3) + (11·3) = 94 cm²
Total SA: 248 cm²
Figure H (Cube)
SA = 6 squares
Squares: 6 x (1·1) = 6 m²
Total SA: 6 m²
I hope this helps and God bless!
