(7, 0) and (11, 3) HOPE THIS HELPED!! <span>( ⸝⸝•ᴗ•⸝⸝ )੭⁾⁾</span>
Answer:
45 nickels
30 quarters
60 dimes
15 pennies
Step-by-step explanation:
Quarters:
45÷3=15
15×2=30
Dimes:
30×2=60
Pennies:
60-45=15
HOPE THIS HELPS!!!!!:)
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>
Answer:
Step-by-step explanation:
A rotation of -90 degrees about the origin is equivalent to a clockwise rotation. Point A, initially at (2, 0), would become point A', (0, -2).
<u>Answer:</u>
<em>101.6 feet</em>
<u>Step-by-step explanation:</u>
<em>First compute the perimeter of the first two windows: (3.4+5.2)*2=17.2</em>
<em>The perimeter of the four other windows: (3.6+4.8)*2=16.8</em>
<em>The total number of feet needed for the first two windows:</em>
<em>17.2*2 = 34.4 feet</em>
<em>The total number of feet needed for the four windows:</em>
<em>16.8*4 = 67.2 feet</em>
<em />
<em>The total number of feet needed is then: 34.4 + 67.2 = 101.6 feet.</em>
