Answer:
See below.
Step-by-step explanation:
1 2/3 + 2 1/4 + 1/6 cups.
this works out to 4 1/12 cups.
We are given with
P(pop quiz) = 60%
P(not do homework) = 85%
And the condition that
P (pop quiz and do homework) > 5%
So,
P (pop quiz) x P (do homework)
P (pop quiz) x ( 1 - P (not do homework) )
60% x ( 1 - 85%)
The result is greater than five percent so he will not do his homework.
Since he sells 5 large cards for every 2 small, we can multiply the number of small cards he needs to sell by 2.5 to find how many large cards he needs to sell.
So let x=the number of small cards sold, and 2.5x=the number of large cards sold
The equation is:Total profit=x+(2.5x)
Since a small card is $2.5, a large card is $4, and the total profit will be $10,000 plug those in to make the equation:
10,000=2.5x+4(2.5x)
We can combine the x's to get 10,000=12.5x and then divide both sides by 12.5 to get x=800.
So he needs to sell 800 small cards.
Multiply that by that 2.5.
And he needs to sell 2000 large cards.
Its called Pythagoras therom, A sq + B sq = C sq, if they give both legs you square them and then add them together, once you have that you square root both sides to get rid of the sq on C and you have your answer
Answer:
for the triangle on top on side is 8 one side is 4 so if we use the theorem
64+16=80
a=9
so
Side a = 19.8242
Side b = 17.66349
Side c = 9
Angle ∠A = 90° = 1.5708 rad = π/2
Angle ∠B = 63° = 1.09956 rad = 7/20π
Angle ∠C = 27° = 0.47124 rad = 3/20π
Area = 79.48573
Perimeter p = 46.4877
Semiperimeter s = 23.24385
