To evaluate this function, we use the calculator. We change the setting to radian first because we are using pi and thensimply input the cosine of 7 pi over 8. Then we square the answer. <span>We expect this number to be less than 1. </span>The function value is 0.8536.
Answer:
4. -4
5. -2
6. -3
Step-by-step explanation:
4. -12 = 5r + 8
Subtract 8 from both sides;
-20 = 5r
Divide both sides by 5;
-4 = r OR r = -4
5. -6p - 3 = 9
Add 3 to both sides;
-6p = 12
Divide both sides by -6
p = -2
6. -14 = 4x - 2
Add 2 to both sides;
-12 = 4x
Divide both sides by 4;
-3 = x OR x = -3
Answer:
Step-by-step explanation:
<u>Pool:</u>
Width = x ft
Length = (x+6) ft
<u>Pool along with walkway:</u>
Width = x + 5 + 5 = (x + 10) ft
Length = x + 6 + 5 + 5 = (x + 16) ft
Total area of the pool with walkway = 950 sq.ft
length * width = 950
(x+16) * (x + 10) = 950
Use FOIL method,
x*x + x *10 + 16*x + 16 *10 = 950
x² + 10x + 16x + 160 -950 = 0 {Add like terms}
x² + 26x - 790 = 0