Answer:
(13+x)cm
Step-by-step explanation:
Given data
Length of sides
1cm, 5cm, 7cm
Since the shape is four-sided and the fourth side is not given, let the fourth side be x
so
The perimeter of the polygon is
P= 1+5+7+x
P= 13+x
Hence the perimeter of the polygon is
P= (13+x)cm
Answer:
y = 2
Step-by-step explanation:
Given
y + (4 - 2y) = 2 ← remove parenthesis on left side
y + 4 - 2y = 2, that is
- y + 4 = 2 ( subtract 4 from both sides )
- y = - 2 ( multiply both sides by - 1 )
y = 2
Answer:
.75 < 7/8
Step-by-step explanation:
Lets change the decimal to a fraction
.75 = 75/100
Divide the top and bottom by 25
75/100 = 3/4
Multiply by 2/2
3/4*2/2 = 6/8
6/8 < 7/8
so .75 < 7/8
Answer:
Rocket can hold maximum 4.5 gallons of water.
Step-by-step explanation:
Volume of the rocket = Volume of the cone on the top + Volume of the cylinder at the bottom
Volume of the cone = 
Here r = radius of the circular base
h = height of the cone
Volume = 
=
cubic inch
Volume of the cylinder = 
Here r = radius of the base
h = height of the cylinder
Volume = 
= 256π cubic inches
Volume of the rocket = 
= 
= 1038.82 cubic inches
Since 231 cubic inches volume of a rocket can hold water = 1 gallon
Therefore, 1038.82 cubic inches space can hold water
=
= 4.497
≈ 4.5 gallons
Rocket can hold 4.5 gallons of water.
Answer:
a² + b² = 15² = 225
P = 2a + 2b = 2(a + b) = 38
P² = 4(a + b)² = 38²
4(a² + 2ab + b²) = 1444
Substitute a² + b² with 225
4(2ab + 225) = 1444
2ab + 225 = 361
2ab = 136
ab = 68 cm²