Answer:
You need to use appropriate formula for the surface area. You may find formula in your mathematics book.
Answer:
Angle between the two vectors is 20.7718°.
Step-by-step explanation:
The given two vectors are x = (1,2,3,4) and y = (4,2,4,5)
Now the dot product between two vector is defined as
x.y = ║x║║y║cosθ
Now, x.y( dot product of x and y) = 1×4 + 2×2 + 3×4 + 4×5 = 40
║x║= 
= 
║y║= 
'
Thus, we get
40 = ×
×Cos θ
Thus, Cos θ = 
Cos θ = 0.935
θ = 
θ = 20.7718°
Answer: a) 1,600
b) 35,000
c) 120,000
<u>Step-by-step explanation:</u>
First, round each number to one significant digit (the first digit).
Then multiply them.
a) 17 --> rounds to 20
82 --> rounds to 80
20 x 80 = 2 x 8 with two zeros
= 1 6 0 0
b) 54 --> rounds to 50
671 --> rounds to 700
50 x 700 = 5 x 7 with three zeros
= 3 5 0 0 0
c) 207 --> rounds to 200
643 --> rounds to 600
200 x 600 = 2 x 6 with four zeros
= 1 2 0 0 0 0
Answer:
(x²+3x-88) square units
Step-by-step explanation:
Area of a rectangle = Length × Width
Given
length of a rectangle is (x-8)units
Its width is (x+11) units.
Required
Expression for the area of the rectangle
Substituting the given function into the formula.
Area of the rectangle = (x-8)(x+11)
Area of the rectangle = x(x)+11x-8x-88
Area of the rectangle = x²+3x-88
Hence the expression that represents the area of the rectangle is x²+3x-88 units²
