She gave Diana, her sister, 6 stickers. This is because 41 divided by 7 is 5 R 6 and there are 6 stickers left if you want each group to have the same amount with no leftovers.
The correct answer is
.05
Answer:
Explanation:
The order of the letters naming the triangles is relevant. When it is said that <em>triangle ABC is similar to triangle MOP</em>, means that:
Therefore:
- ∡C = 102º (by substitution)
Now, you have two angles of triangle ABC and can find the third one:
- ∡B = 180º - 45º - 102º = 33º ← answer
<h3>
Answer: 175,000 dollars</h3>
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Work Shown:
2/3 of 15,000 = (2/3)*15000 = 10,000
This means 10,000 people take the shuttle bus to the park. If each person pays $5 to take the bus, then the city earns 5*10,000 = 50,000 dollar through this option.
The rest pay for parking, so 15,000-10,000 = 5,000 people pay for parking. At $25 each, this amounts to 25*5,000 = 125,000 dollars earned through this option.
Overall, the city earns a total of 50,000+125,000 = 175,000 dollars
Side note: this assumes that the remaining 5,000 people all take separate cars and no single car has more than one person. This is very unrealistic as there are likely to be families or carpools of some kind. So in reality, the answer shown above is an upper estimate of the total revenue.
The orientation of the ladder with the wall forms a right triangle. The ladder length is the hypotenuse of the triangle, the distance between the ladder at ground level and the base of the wall is the horizontal leg of the triangle, the height of the ladder is the vertical leg of the triangle.
Since we have a right triangle, we can use the Pythagorean theorem.
Let x = the height of the ladder
Write the equation for the Pythagorean theorem using the information.
x2 + 162 = 232
Solving for x, we have
x2 = 232 - 162
x = √(232 - 162)
x = √(529 - 256)
x = √(273)
x = 16.52
The ladder reaches 16.52 feet high.
