Answer:
593.04 square inches leather is needed.
Step-by-step explanation:
Leather needed to sew a ball = Surface area of the ball
Surface area of the sphere = 4πr²
= 4π(6.55)²
= 539.13 inches²
Since 10% extra material is needed for the seams, amount of material required = 539.13 + (10% of 539.13)
= 593.043
= 593.04 square inches
593.04 square inches of leather will be needed.
Answer:
1) AD=BC(corresponding parts of congruent triangles)
2)The value of x and y are 65 ° and 77.5° respectively
Step-by-step explanation:
1)
Given : AD||BC
AC bisects BD
So, AE=EC and BE=ED
We need to prove AD = BC
In ΔAED and ΔBEC
AE=EC (Given)
( Vertically opposite angles)
BE=ED (Given)
So, ΔAED ≅ ΔBEC (By SAS)
So, AD=BC(corresponding parts of congruent triangles)
Hence Proved
2)
Refer the attached figure

In ΔDBC
BC=DC (Given)
So,
(Opposite angles of equal sides are equal)
So,
So,
(Angle sum property)
x+x+50=180
2x+50=180
2x=130
x=65
So,
Now,

So,
In ΔABD
AB = BD (Given)
So,
(Opposite angles of equal sides are equal)
So,
So,
(Angle Sum property)
y+y+25=180
2y=180-25
2y=155
y=77.5
So, The value of x and y are 65 ° and 77.5° respectively
Answer:
See below
Step-by-step explanation:
<u>Number of squares:</u>
- 1x1 squares = 8*8
- 2x2 squares = 7*7
- 3x3 squares = 6*6
- 4x4 squares = 5*5
- 5x5 squares = 4*4
- 6x6 squares = 3*3
- 7x7 squares = 2*2
- 8x8 square = 1
<u>Total number:</u>
- 8² + 7² + 6² + 5² + 4² + 3² + 2² + 1 =
- 64 + 49 + 36 + 25 + 16 + 9 + 4 + 1 =
- 204
Answer:
0.80
Step-by-step explanation:
Khan academy