Answer:
C. 17, 12, 7
Step-by-step explanation:
In a triangle, the sum of the lengths of any two sides must be greater then the length of the third side. If you can show any two segments, the sum of whose lengths is less than the length of the third segment, that cannot form a triangle.
In choices A, B, and D, there is at least one sum of the lengths of two segments that is less then the length of the third segment. That shows that choices A, B, and D cannot form triangles.
A. 8 + 7 = 15 < 16 No
B. 9 + 7 = 16 = 16 No
D. 11 + 5 = 16 < 17 No
C.
17 + 12 = 29 > 7
12 + 7 = 19 > 17
17 + 7 = 24 > 12
Yes
Answer:
±sqrt( H *f•c)= L
Step-by-step explanation:
H=L^2/f•c
Multiply each side by fc
H *fc=L^2/f•c * fc
H *f•c=L^2
Take the square root of each side
±sqrt( H *f•c)= sqrt(L^2)
±sqrt( H *f•c)= L
Answer:
The lowest fraction it can be simplified to is 1/8.
Answer:
1) Volume of triangular pyramid = 33 cm³.
2) Volume of triangular prism = 99 cm³
Step-by-step explanation:
1) Volume of a triangular pyramid is given as;
V_py = ⅓Ah
Where A is area of base and h is height
We see from the diagram that;
A = 11 cm²
h = 9 cm
Thus; V_py = ⅓ × 11 × 9 = 33 cm³
2) Volume of triangular prism is given by;
V_pr = ½bhl
Where;
½bh is area of triangular cross section
l is length
We see from the diagram that ½bh = 11 cm² and L = 9 cm
Thus;
V_pr = 11 × 9 = 99 cm³
Answer:
Present value of contributions is $24,106.15
Step-by-step explanation:
Weekly rate=9%/52weeks= 0.173%
Weekly contributions $50
Number of weeks=20years×52weeks=1040
Present value of contribution=$50(1-[(1+9%/52)^-1040 /(9%/52)
Present value of contribution= $24,106.15
