Will multiple the exponents and the answer x^4
Answer: 10, 11, 12
Step-by-step explanation: Think of the integers like this:
1st integer: x
2nd integer: x+1
3rd integer: x+2
That is necessary because they are consecutive integers. Since the sum is 33, we need to create an equation.
x+x+1+x+2=33.
Simplify:
3x+3=33.
Opposite operations:
3x=-3+33.
To get the 3 close to the 33, we needed to make it negative, which is the opposite operation of the positive 3.
So,
3x=30.
Divide by 3:
x=10.
The first integer, x, equals 10.
To go with the guide that we already created,
1st integer: x=10
2nd integer: x+1=11
3rd integer:x+2=12.
Therefore, the three consecutive integers are 10, 11, and 12.
To check that, add them up. They all equal 33 and they are consecutive, which means this is the right answer!
Distance = rate x time
183 / 3 = 61
She was going 61 mph
I believe so as 6 x 2 is 12 and when I checked their factors it seemed so.
Answer:
= 32√3 ft²
Step-by-step explanation:
Area of the trapezoid will be equal to the area of the square and that of the triangle.
Considering the triangle part;
Cos 60 = x/8
x = 8 × sin 60
= 4
Base of the triangle part = 4 ft
Therefore, top of the trapezoid = 6 ft
Height = 8 × sin 60
= 8 × √3/2
= 4 √3
Area of the trapezoid
Area = ((a+b)/2) × h
= ((6 + 10 )/2 )× 4√3
= 16/2 × 4√3
= 32√3 ft²
