16² = 18² + 19² - 2(18)(19)cos(z)
256 = 324 + 361 - (684)cos(z)
256 = 685 - (684)cos(z)
-429 = -684cos(z)
cos(z) = -429/-684
z = cos⁻¹ (0.627)
z = cos⁻¹ (cos 51) [ Cos 51 = 0.627 ]
z = 51
In short, Your Answer would be: 51
Hope this helps!
Answer:
The graph of y=log(x)+4 is the graph of y=log(x) translated 4 units up.
Step-by-step explanation:
The translation ...
y = log(x -h) +k
translates the log function right h units and up k units.
The only description matching the equation is ...
The graph of y = log(x)+4 is the graph of y = log(x) translated 4 units up.
Area is length times width in this scenario. The length is going to increase by 3; this can be expressed by the term L+3. The width is 5, but the total area is going to be 90. Your expression should look like this:
5(L+3)=90
First, multiply the 5 on the left side of the equation.
5L+15=90
Subtract 15 from both sides to get the coefficient and the variable by itself.
5L=75
Divide by 5 on both sides to get the variable alone.
L=15
You're not done yet. Remember, you must add 3 back into L to get the new length. The original garden would have been 15 meters in length, but the new length of the new garden will be 18 meters.
To check this, use the formula for area.
18(5)=90
90=90
We know how wide the billboard will be. Therefore, to know how much the original image should be enlarged, you must divide the final width of the billboard between the current width of the invoice.
We know both data, then we perform the operation:
48 feet /6.14 inches = 7.81 feet / inches
.
Therefore the correct answer is option D. 1″ = 7.81′
For the bill to cover the billboard, the bill must be expanded by a factor of 7.81 feet long per inch long that has the original image.
Answer:
x + 4 = 5x - 6
x = 2.5
Step-by-step explanation:
x + 4 = 5x - 6
4 = 4x -6
10 = 4x
x = 2.5
