Answer:
Step-by-step explanation:
Trapezoid ABCD is isosceles trapezoid, because AB = CD (given). In isosceles trapezoid, angles adjacent to the bases are congruent, then
Since BK ⊥ AD, the triangle ABK is right triangle. In this triangle, AB = 8, AK = 4. Note that the hypotenuse AB is twice the leg AK:
If in the right triangle the hypotenuse is twice the leg, then the angle opposite to this leg is 30°, so,
Since BK ⊥ AD, then BK ⊥ BC and
Thus,
Now,
80%
Step-by-step explanation:
Votes: 24 were for hunger relief and 6 were for environmental causes. There were 24 + 6 = 30 votes in total.
Thus,
30 votes - 100%,
24 voyes - x%.
Mathematically, you can write a proportion:
Answer:
Answer A: 300 n - 2200
Step-by-step explanation:
The profit function will be the income minus the cost of maintaining the boathouse.
The income comes from the number of boats that it docks (n) , times the monthly fee that each boat pays ($850), That is:
Income = 850 n
Now the monthly cost to operate the boathouse is the fix $2200 cost plus $550 per boat. That is:
2200 + 550 n
Now, the difference "Income - Cost" that defines the profit function becomes:
850 n - {2200 + 550 n} = 850 n - 550 n - 2200 = 300 n - 2200
7 is greater because it’s a positive and above 0, -7 is under 0 which is considered a negative
Answer:
The bigger pot is a 9.1-quart pot
Step-by-step explanation:
Initial pot size = 6.5-quart
New pot is 40% bigger than the initial pot size
Bigger pot size = 6.5-quart + (0.4 × 6.5-quart) = 6.5-quart + 2.6-quart = 9.1-quart
