Length (L): 2w + 5
width (w): w
Perimeter (P) = 2L + 2w
136 = 2(2w + 5) + 2(w)
136 = 4w + 10 + 2w
136 = 6w + 10
126 = 6w
21 = w
Length (L): 2w + 5 = 2(21) + 5 = 42 + 5 = 47
Answer: width = 21 meters, length = 47 meters
Area of a circle is pi * radius² so:
1) Area = pi * 5²
= 25pi ≈ 78.54 yd²
2) Area = pi * 7²
= 49pi ≈ 153.94 cm²
Circumference is 2 * pi * radius so:
3) Circumference = 2 * pi * 10
= 20pi ≈ 62.83 mi
4) Circumference = 2 * pi * 3.3
= 6.6pi ≈ 20.73 in
Volume of a rectangular prism is length * width * height
5) Volume = 10 * 3 * 10
= 100 * 3
= 300 yd³
6) Volume = 5 * 7 * 5
= 35 * 5
= 175 in³
Not completely sure on the triangular prisms though. I'm almost certain the formula is 1/2 * height * base 1 * base 2 though
Answer:
x(x+8) = 256
Step-by-step explanation:
hello
one side is x
the other one is 8 yards longer, so it is x + 8
so the surface is x(x+8) = 256
hope this helps
Answer:
each bag cost $2.46
Step-by-step explanation:
you divide 7.38 by 3
Answer:
The values of x and y that make the quadrilateral is a parallelogram are x = 12 and y = 21
Step-by-step explanation:
- In the parallelogram, every two opposite sides are equal in lengths
In the given figure
If DEFG is a parallelogram, then DE = GF and DG = EF
∵ DE = GF
∵ DE = 6x - 12 and GF = 2x + 36
→ Equate them
∴ 6x - 12 = 2x + 36
→ Subtract 2x from both sides
∵ 6x - 2x - 12 = 2x - 2x + 36
∴ 4x - 12 = 36
→ Add 12 to both sides
∵ 4x - 12 + 12 = 36 + 12
∴ 4x = 48
→ Divide both sides by 4
∴ x = 12
∵ DG = EF
∵ DG = 6y - 42 and EF = 4y
→ Equate them
∴ 6y - 42 = 4y
→ Add 42 to both sides
∵ 6y - 42 + 42 = 4y + 42
∴ 6y = 4y + 42
→ Subtract 4y from both sides
∵ 6y - 4y = 4y - 4y + 42
∴ 2y = 42
→ Divide both sides by 2
∴ y = 21
∴ The values of x and y that make the quadrilateral is a parallelogram are
x = 12 and y = 21