<h2>Explanation:</h2><h2 />
Here we have to compute the dot product:
We know that:
So for any two vectors:
The dot product:
Therefore:
Answer:
Width of the rectangle = 13.16 ft
Length of the rectangle = 34.33 ft
Step-by-step explanation:
Let the width of the rectangle = k ft
So, the length of the rectangle = (2k + 8) ft
Perimeter of the rectangle = 95 ft
PERIMETER OF THE RECTANGLE = 2(LENGTH +WIDTH)
⇒ 2( k+ (2k+ 8)) = 95
or, 2( 3k + 8) = 95 ⇒ 6k + 16 = 95
or, 6k = 95 - 16 = 79
⇒ k = 79/ 6 = 13.16
So, the Width of the rectangle = k = 13.16 ft
Now, Length of the rectangle = 2(13.16)+ 8 = 34.33 ft
Answer:
f ( x ) = - 101
Step-by-step explanation:
Step 1:
f ( x ) = - x² - 20 Function
Step 2:
f ( x ) = - 9² - 20 Substitute x
Step 3:
f ( x ) = - 81 - 20 Exponents
Answer:
f ( x ) = - 101 Subtract
Hope This Helps :)
Answer:
x = 25
Measure of each angle label is 42°
Step-by-step explanation:
(x + 17)° and (3x - 33)° are the expressions of the two vertical angles formed by the intersection of two straight lines. Vertical opposite angles are congruent. Therefore:
x + 17 = 3x - 33
Solve for x. Collect like terms
17 + 33 = 3x - x
50 = 2x
Divide both sides by 2
50/2 = 2x/2
25 = x
Measure of the two angles are:
x + 17 = 25 + 17 = 42° (substitution)
3x - 33 = 3(25) - 33 = 75 - 33 = 42°
you would times 475 by the percentage, which you can convert to a decimal my multiplying the percentage by 100.
475 * 0.02 = 9.50
Then divide the interest by the amount of interest per year:
38 / 9.5 = 4.
it would be 4 years
