The third option is correct
If you would like to know how many gallons of paint will Henry need to paint his living room, you can calculate this using the following steps:
the ceiling: 24 ft * 18 ft = 432 ft squared
walls: 2 * 24 ft * 9 ft + 2 * 18 ft * 9 ft = 2 * 24 * 9 + 2 * 18 * 9 = 432 + 324 = 756 ft squared
432 ft squared + 756 ft squared = 1188 ft squared
1 gallon of paint ... 450 ft squared
x gallons of paint = ? ... 1188 ft squared
1 * 1188 = 450 * x
1188 = 450 * x /450
x = 1188 / 450
x = 2.64 gallons of paint
The correct result would be 2.64 gallons of paint.
Answer: A
Step-by-step explanation:
If we are given the values of x and y, we just have to plug them into the expression. So -2xy means -2(-1)(6) which is 12. 12 corresponds to A so A is the correct answer.
Answer:
16√3 cm²
Step-by-step explanation:
The perimeter of a triangle is the sum of its all three sides. Since this is an equilateral triangle, all sides are equal.
Let's consider one side of the triangle to be 'x'
Givent that, the perimeter is 24cm,
The equation should be x + x + x = 24
⇒3x = 24
∴ x = 8 cm
To find the area of the triangle, we need to find the height, and for that, we can use trigonometry.
Since it is an equilateral triangle, all angles are exact 60°.
let's draw a line and mark it as 'h'.
we can use sine formula to find out the opposite i.e. h
sin∅ = opposite ÷ hypotaneous
sin 60° = h ÷ 8
h = 8 sin 60°
h= 4√3
Now, let's find the area
Area = 1/2 × base × height
Area = 1/2 × 8 × 4√3
area= 16√3 cm²