First you have all ten books, but then every time after, you loose one because you can't put the same book in the group twice.
10 * 9 * 8 * 7 = 5040 groups
Answer:
I got 235, which works in perfectly into the problem...
Step-by-step explanation:
Answer:
about $1148.06
Step-by-step explanation:
Your goal is to find the area of the island of grass and multiply that area by the cost per square yard.
Area = radius * radius * pi
You are told that the <em>diameter = 15 yards</em>. We also know that the radius that we need is half of the diameter. <em><u>Radius = 7.5 yards</u></em>.
This means that the <em>Area = 7.5 * 7.5 * 3.14 = 176.625 square yards</em>
Then we multiply by the cost per square yard:
176.625 * 6.50 = 1148.06 is your answer
See attachement for the diagram of the triangle
Answer/Step-by-step explanation:
To find the length of HJ, we can use different equations as follows:
✔️Recall: SOHCAHTOA
Let's take <G as the reference angle = 28°
Opposite side to reference angle = HJ
Hypotenuse = 20
Apply SOH.
Thus:
Sin 28° = opp/hyp
Sin 28° = HJ/20 (Alex's equation is correct).
Solving further, we would have:
HJ = Sin 28 * 20 ≈ 9.4
✔️Another way is by using <H as the reference angle.
m<H = 180° - (90° + 28°) (sum of triangle)
m<H = 62°
Adjacent side to reference angle (<H) = HJ
Hypotenuse = 20
Apply CAH:
Cos 62° = Adj/Hyp
Cos 62° = HJ/20 (Marlene's equation is correct)
Solving further, we would have,
HJ = Cos 62° * 20 ≈ 9.4
As you can see, the equation of both students are correct. Both would arrive at the same answer using any of the two equations.
Slope is -1/4 and the y intercept is -1.5