The little lines on each side of the rhombus mean that all the sides are the same length.
We can set line LM and MN equal to solve for X, then we can solve the length of a side.
3x-3 = x+7
Add 3 to each side:
3x = x +10
Subtract x from each side:
2x = 10
Divide both sides by 2:
x = 10/2
x = 5
Now we have the value for x, replace x in one of the side formulas:
x +7 = 5+7 = 12
Each side = 12 units.
The perimeter would be 12 + 12 + 12 + 12 = 48 units.
Answer:
-1, |-2|, |-3|, |3.5|, |3²|
Step-by-step explanation:
- Calculate the absolute value (the absolute value of any number is always positive): 3, 3², 2 , 3.5, -1
- Calculate the exponents : 3, 9, 2 , 3.5, -1
- Put in order least to greatest : -1, |-2|, |-3|, |3.5|, |3²|
Answer:
11403.98133
Step-by-step explanation:
V = πr^2h = π·11^2·30 ≈ 11403.98133
Answer:
The area of the deck that surrounds the hot tub is 17.9 m².
Step-by-step explanation:
Base of deck = 5 m
Height of deck = 5 m
Area of deck = base*height
= 5*5
= 25 m²
A circular hot tub is placed in the deck whose diameter is 3 m.
Radius = diameter/2
= 1.5 m
Area of the circular hot tub = πr²
= 3.14*(1.5*1.5)
= 7.07 m²
Area of the deck that surrounds the hot tub = Area of deck - Area of tub
= 25 - 7.07
= 17.93 m²
= 17.9 m²
Answer:
x + 7
Step-by-step explanation:
5 + (x + 2) = x + 7