Using the cosine function:
Solve for b:
![\begin{gathered} b=16\cdot\cos (45) \\ b=8\sqrt[]{2} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20b%3D16%5Ccdot%5Ccos%20%2845%29%20%5C%5C%20b%3D8%5Csqrt%5B%5D%7B2%7D%20%5Cend%7Bgathered%7D)
Answer:
The possible number of hours the chemistry club can rent the meeting room is 7 hours.
Step-by-step explanation:
h=hours
19+4h=47
Subtract 19 from both sides of the equation.
4h=28
Divide 4 from both sides of the equation.
h=7
The possible number of hours the chemistry club can rent the meeting room is 7 hours.
Hope this helps :)
Answer:
dy/dx = (x^2 - 3)^sin x [2x sin x/ (x^2 - 3) + cos x ln(x^2 - 3)]
Step-by-step explanation:
y = (x^2 - 3)^sinx
ln y = ln (x^2 - 3)^sinx
ln y = sin x * ln (x^2 - 3)
1/y * dy/dx = sin x * {1 / (x^2 - 3)} * 2x + ln(x^2 - 3) * cos x
1/y dy/dx = 2x sin x/ (x^2 - 3) + cos x ln(x^2 - 3)
dy/dx = [2x sin x/ (x^2 - 3) + cos x ln(x^2 - 3)] * y
dy/dx = (x^2 - 3)^sin x [2x sin x/ (x^2 - 3) + cos x ln(x^2 - 3)]
Answer:
3/3 or just 3.
Step-by-step explanation:
everytime the line crosses the x and y coordinates is basically a plot. so counting from the bottom left hand corner to the "plot" in the middle is 3/3 because it rises three and runs positive 3.
Answer:
3. x + 18.
4. 8n + 16
Step-by-step explanation:
3. We have to calculate the area of wood present in the frame whose dimensions are given with the question.
Requires area = {(x + 3) × 1} + [(4 - 1) × {(x + 3) - (x - 2)}] = x + 3 + 3 × 5 = x + 18. (Answer)
4. The sum of four consecutive odd numbers where 2n + 1 is the smallest odd number will be
= (2n + 1) + (2n + 3) + (2n + 5) + (2n + 7)
= 8n + 16 (Answer)
