Answer:
Step-by-step explanation:
Given the dimension of the homeowner's backyard to be width 18 yards long and length 16 yards long, the area of the rectangular backyard id expreesed as;
Area of rectangle = Length * Width
Area of the rectangular backyard = 18yards * 16yards
Area of the rectangular backyard = 288yards²
If they plan to put in a square pool with side length 5 yards long in the backyard, the area of the pool = 5yd*5yd = 25yd²
The remaining area that will contain the tiles = Area of the rectangular backyard - area of the pool
The remaining area that will contain the tiles = 288yd² - 25yd² = 263yd²
<em>Note that we cannot determine the amount of tiles they need to buy since we are not given the dimension of each tile to use</em>. The area needed for the tiles for the rest of the backyard is therefore 263yd².
Amount of tiles needed to buy can be expressed as 263/dimension of a tile.
Hey there!
Answer:
CD = 3.
Step-by-step explanation:
Since the triangles are similar, we can set up a ratio to determine the other side-lengths:
Cross multiply:
Distribute the '6':
Combine like terms and simplify:
Therefore, the length of CD is 3.
Answer:
55.5 kg.
Step-by-step explanation:
Potential energy = mgh
= m * 9.81 * 4.5 = 2450 where m is the mass of the man.
m = 2450 / (9.81* 4.5)
= 55.5 kg.
2x+8y in factor form is 2(x+4y)
Answer:
6. 141
7. 28
Step-by-step explanation:
Time to rewrite the expressions!
6. (8 + 45/9)² - 14(2)
First, we need to solve what's in the parentheses.
45/9 is 5. So 8 + 5 is 13. 13² - 14(2)
Now, the exponent. 13² = 169 (nice)
169 - 14(2) Multiply 14 and 2...
169 - 28 = 141
Now to rewrite 7.
12 + 36/2 - 3(1)²
Exponents first...
3² = 9 (the 1 isn't included 'cause 3 multiplied by 1 is still 3.)
12 + 36/2 - 12
Divide... 36/2 = 18
12 + 18 - 2
30 - 2
28
