Answer:
perimeter is 4 sqrt(29) + 4pi cm
area is 40 + 8pi cm^2
Step-by-step explanation:
We have a semicircle and a triangle
First the semicircle with diameter 8
A = 1/2 pi r^2 for a semicircle
r = d/2 = 8/2 =4
A = 1/2 pi ( 4)^2
=1/2 pi *16
= 8pi
Now the triangle with base 8 and height 10
A = 1/2 bh
=1/2 8*10
= 40
Add the areas together
A = 40 + 8pi cm^2
Now the perimeter
We have 1/2 of the circumference
1/2 C =1/2 pi *d
= 1/2 pi 8
= 4pi
Now we need to find the length of the hypotenuse of the right triangles
using the pythagorean theorem
a^2+b^2 = c^2
The base is 4 ( 1/2 of the diameter) and the height is 10
4^2 + 10 ^2 = c^2
16 + 100 = c^2
116 = c^2
sqrt(116) = c
2 sqrt(29) = c
Each hypotenuse is the same so we have
hypotenuse + hypotenuse + 1/2 circumference
2 sqrt(29) + 2 sqrt(29) + 4 pi
4 sqrt(29) + 4pi cm
Answer:
450
Step-by-step explanation:
here is a fast way:
1- 75% = 75/100 = 3/4
2- 600 × (3/4) = 450
Step-by-step explanation:
Let the marked price of a watch be =₹x
∴ Discount price = x- 20% of x
= x - 0.2x
=0.8x
Amount of VAT = 13% of 0.8x
0.13 x 0.8x
0.104x
Now,
Selling price = 0.8x + 0.104x
∴6328 = 0.904x
x = 0.904 / 6328
x=0.00014285714
Answer:
A
Step-by-step explanation:
B: z=80___________________________________
