Answer:
64 in² (Answer B)
Step-by-step explanation:
Note that this rhombus is made up of a large upper triangle and a large lower triangle. Each of these two triangles has base 2(8 in) (or 16 in) and height 4 in.
The area-of-a-triangle formula is
A = (1/2)(base)(height), which here is
A = (1/2)(16 in)(4 in) = 32 in².
Now double that, because we have an upper triangle of area 32 in² and a lower triangle of the same area 32 in². So the total area of the rhombus is 64 in²
Answer: 18°
Step-by-step explanation:
Complementary angles are any two angles whose sum is 90 degrees. Hence, if angles x and y are complimentary, we can say
x + y = 90°
Therefore, the complimentary angle of 72° is obtained by subtracting 72° from 90°
i.e 90° - 72° = 18°
Thus, the complimentary angle of 72° is 18°
Answer:
3/-1
Step-by-step explanation:
The slope is 3/-1 (Rise 3 on the y axis, run to the negatives by 1 on the x axis)
To find the slope of two points, use the formula of y2-y1/x2-x1 (For example, with this equation it would be 10-4/10-12)
I'm not sure what it means to interpret the slope, but hopefully this helped you!
Answer:
Answer to the question:
Step-by-step explanation:
α= 54º
V= 66 ft/s
g= 9.8 m/s²
Vx= V * cos(54º) = 38.8 ft/s
Vy= V * sin(54º) = 53.4 ft/s
<u>PARAMETRIC EQUATIONS:</u>
x(t)= Vx * t
y(t)= Vy * t - (g * t²)/2
9514 1404 393
Answer:
24 cm²
Step-by-step explanation:
To find the area of the trapezium, we must know the length CD. That means we must know the length BC. Fortunately, the perimeter of ABCF is given, so we have ...
P = 2(AB +BC)
BC = (P/2) -AB = (20 cm)/2 - 6 cm = 4 cm
Then CD is ...
CD = BD -BC = 9 cm -4 cm = 5 cm
The area of the trapezium is given by the formula ...
A = (1/2)(b1 +b2)h
A = (1/2)(5 cm + 3 cm)(6 cm) = 24 cm²
The area of trapezium CDEF is 24 cm².
