Answer:
SA = 1244.64 square centimeters
Step-by-step explanation:
From the attached figure
The formula of the surface area of the prism is SA = 2B + PH, where
- B is the area of its base
- P is the perimeter of its base
- H is the distance between its bases
The base of the prism is a regular hexagon with side 8 cm
If you join each vertex of the hexagon with its center you will form 6 congruent triangles with base 8 cm and height 6.93 cm
The area of the hexagon = 6 × area of a triangle
∵ The base of the triangle = 8 cm
∵ Its height = 6.93 cm
- The formula of the area of a triangle is A =
× base × height
∴ Area of the triangle =
× 8 × 6.93 = 27.72 cm²
- Lets find the area of the hexagon
∴ The area of the hexagon = 6 × 27 .72 = 166.32 cm²
∴ B = 166.32 cm²
The formula of the perimeter of the regular hexagon is P = 6 × s, where s is the length of its side
∵ The side of the hexagon is 8 cm
∴ P = 6 × 8
∴ P = 48 cm
∵ The distance between the two bases is 19 cm
∴ H = 19 cm
Substitute the values of B, P and H in the formula of the surface area above
∵ SA = 2(166.32) + (48)(19)
∴ SA = 332.64 + 912
∴ SA = 1244.64 square centimeters
Answer:
686.7 N
Step-by-step explanation:
mass the person is 70 kg , which is constant for the entire universe.Although weight of the person is depends upon the gravity of the planet on which he resides
W= mg
m= mass W= wight and g= Acceleration due to gravity of the planet which 9.81 m/sec^2 on earth.
therefore weight W = 70×9.81 = 686.7 N
Hence the weight of the father will be 686.7 N
Two angles that added together equal 90 degrees
Answer:
and 
Step-by-step explanation:
We have been given the parabola with vertex (1, -9) and y intercept at (0, -6).
Now we need to find the x-intercepts of that parabola. So first we begin by finding the equation of parabola using vertex formula:

Vertex for this formula is given by (h,k)
Compare that with given vertex (1,-9), we get: h=1, k=-9
So plug these into vertex formula:
...(i)
Plug given point (0, -6). into (i)





Plug a=3 into (i)

Now to find x-intercept, we just plug y=0 and solve for x






Hence final answer are
and 