Use this version of the Law of Cosines to find side b:
b^2 = a^2 + c^2 − 2ac cos(B)
We want side b.
b^2 = (41)^2 + (20)^2 - 2(41)(20)cos(36°)
After finding b, you can use the Law of Sines to find angles A and C or use other forms of the Law of Cosines to find angles A and C.
Try it....
Let us model this problem with a polynomial function.
Let x = day number (1,2,3,4, ...)
Let y = number of creatures colled on day x.
Because we have 5 data points, we shall use a 4th order polynomial of the form
y = a₁x⁴ + a₂x³ + a₃x² + a₄x + a₅
Substitute x=1,2, ..., 5 into y(x) to obtain the matrix equation
| 1 1 1 1 1 | | a₁ | | 42 |
| 2⁴ 2³ 2² 2¹ 2⁰ | | a₂ | | 26 |
| 3⁴ 3³ 3² 3¹ 3⁰ | | a₃ | = | 61 |
| 4⁴ 4³ 4² 4¹ 4⁰ | | a₄ | | 65 |
| 5⁴ 5³ 5² 5¹ 5⁰ | | a₅ | | 56 |
When this matrix equation is solved in the calculator, we obtain
a₁ = 4.1667
a₂ = -55.3333
a₃ = 253.3333
a₄ = -451.1667
a₅ = 291.0000
Test the solution.
y(1) = 42
y(2) = 26
y(3) = 61
y(4) = 65
y(5) = 56
The average for 5 days is (42+26+61+65+56)/5 = 50.
If Kathy collected 53 creatures instead of 56 on day 5, the average becomes
(42+26+61+65+53)/5 = 49.4.
Now predict values for days 5,7,8.
y(6) = 152
y(7) = 571
y(8) = 1631
Answer:
21
Step-by-step explanation:
Answer:
the base is 6 inches, the height is 4.5 inches. Multiply that by usinhg the formula A = bh your answer will be 27 then multiply that by 60 and your answer is 1,620.
Step-by-step explanation:
For the first one, you just need to divide the amount of feet by 3 to get the amount of yards (there are three feet in a yard).
1431 / 3 = 476 2/3
The 102nd floor of the Sears Tower is 476 2/3 yards from the ground.
Second, you just need to multiply the amount of centimeters by 10 (there are 10 millimeters in a centimeter).
16 * 10 = 160
The butterfly has a wingspan of 160mm.
Third, the measurements are indeed
7. =
8. =
9. <
10. >
11. >
12. =
Fourth, you just need to know your conversion factors.
1. There are 3 feet in a yard. 42 / 3 = 14 yards
2. There are 1000 meters in a kilometer. 2350 / 1000 = 2.35 km
3. 12 inches in a foot. 18 * 12 = 216 inches
4. 10 decimeters in a meter. 289 * 10 = 2890 dm
5. 1760 yards in a mile. 1760 * 5 = 8800 yds
6. 10 millimeters in a centimeter. 35 * 10 = 350 mm
Hope that was helpful =)
