Answer: A:3 rolls B: $38.67
Step-by-step explanation:
1. Convert all units to the same value (feet to inches, as the opposite gives fractions)
2. Use new equation and multiply the said new variable (84*3 & 96*3)
3. The new total should amount to the total area (540)
4. Divide found area by 12 to convert back into feet (45)
5. Divide the feet by feet per roll (3)
6. Multiply for Cost
The answer in itself is 1/128 and here is the procedure to prove it:
cos(A)*cos(60+A)*cos(60-A) = cos(A)*(cos²60 - sin²A)
<span>= cos(A)*{(1/4) - 1 + cos²A} = cos(A)*(cos²A - 3/4) </span>
<span>= (1/4){4cos^3(A) - 3cos(A)} = (1/4)*cos(3A) </span>
Now we group applying what we see above
<span>cos(12)*cos(48)*cos(72) = </span>
<span>=cos(12)*cos(60-12)*cos(60+12) = (1/4)cos(36) </span>
<span>Similarly, cos(24)*cos(36)*cos(84) = (1/4)cos(72) </span>
<span>Now the given expression is: </span>
<span>= (1/4)cos(36)*(1/4)*cos(72)*cos(60) = </span>
<span>= (1/16)*(1/2)*{(√5 + 1)/4}*{(√5 - 1)/4} [cos(60) = 1/2; </span>
<span>cos(36) = (√5 + 1)/4 and cos(72) = cos(90-18) = </span>
<span>= sin(18) = (√5 - 1)/4] </span>
<span>And we seimplify it and it goes: (1/512)*(5-1) = 1/128</span>
Multiply 500 times .75 and it equals 375, hope this helps!!
Answer:
Step-by-step explanation:
In exponent multiplication, if the bases are same then add the exponents.
Answer:
The equation of the line would be y = -4x + 33
Step-by-step explanation:
To find this, we use point-slope form with the point given and the slope given. Then we solve for y.
y - y1 = m(x - x1)
y - 5 = -4(x - 7)
y - 5 = -4x + 28
y = -4x + 33
