You have a square with half circles along the sides.
The length of each side is 4ft, so the radius of the circles is 2ft
to calculate the perimeter you can calculate the circumference of 4 half circles = 2 complete circles
c=2r*
=
2*2
=12.56
perimeter=2c=25.12=8
the area is the area of 2 circles+the area of the square
circle area= r^2*
=2*2
=4
concrete area=circle area*2+square area
=4
*2+(4*4)
=8
+(4*4)
=8
+16ft
=41.12 ft^2
Answer:
1) By SAS theorem, ΔADE≅ΔCDF
2) By SSS theorem, ΔBDE≅ΔBDF
Step-by-step explanation:
Consider isosceles triangle ABC (see diagram).
1. In triangles ADE and CDF:
- AD≅DC (since BD is median, then it divides side AC in two congruent parts);
- AE≅CF (given);
- ∠A≅∠C (triangle ABC is isosceles, then angles adjacent to the base are congruent).
By SAS theorem, ΔADE≅ΔCDF.
2. In triangles BDE and BDF:
- side BD is common;
- DE≅DF (ΔADE≅ΔCDF, then congruent triangles have congruent corresponding sides);
- BE≅FB (triangle ABC is isosceles, AB≅BC, AE≅CF, then BE=AB-AE, FB=BC-CF).
Be SSS theorem, ΔBDE≅ΔBDF.
You need to find out if 57 can be divided evenly by a number other than 1 and 57.
57 is odd, so it is not divisible by 2.
The digits of 57 are 5 and 7. Add 5 + 7 to get 12. Since 12 is divisible by 3 (12/3 = 4), then 57 is also divisible by 3.
57/3 = 19
19 is a prime number, so the only factors of 57 are 1, 3, 19, 57.
57 rows can be divided into 19 sections of 3 rows each or 3 sections of 19 rows each.
The answer would be 1,020 minutes every 30 days
Answer:
4
x
−
1
3
y
=
−
2
To convert this equation to slope-intercept form, solve for
y
.
Subtract
4
x
from both sides.
−
1
3
y
=
−
2
−
4
x
Simplify
−
1
3
y
to
−
y
3
−
y
3
=
−
2
−
4
x
Multiply both sides times
3
.
−
y
=
−
2
(
3
)
−
4
x
(
3
)
Simplify.
−
y
=
−
6
−
12
x
Rearrange the right side.
−
y
=
−
12
x
−
6
Multiply both sides times
−
1
.
y
=
12
x
+
6
m
=
12
and
b
=
6
.
Step-by-step explanation:
