Answer:
142 3/8
Step-by-step explanation:
45 + 42 = 87
87 + 54 = 141
7/8 + 3/8 = 1 2/8
1 + 141 = 142
2/8 + 1/8 = 3/8
Answer:
Answer:
height h = 9 m
slant height s = 9.0553851381374 m
side length a = 2 m
lateral edge length e = 9.1104335791443 m
1/2 side length r = 1 m
volume V = 12 m3
lateral surface area L = 36.22154055255 m2
base surface area B = 4 m2
total surface area A = 40.22154055255 m2
Step-by-step explanation:
Answer:
Step-by-step explanation:
You can create a right triangle out of this information and then use right triangle trig to solve.
We are given the height of the triangle as the height of the tower which is 150m.
We are given the angle of inclination as the degree the tower makes with the ground which is 72.
From the angle of 72 degrees, which is also known as the reference angle, we have the side across from it (the height) and we are looking for the side adjacent to it (how far from the base of the tower the keys will land). Side opposite the reference angle over side adjacent to the reference angle is the tangent ratio:
and, solving for x,

Make sure your calculator is in degree mode to solve this. Divide 150 by the tan(72) and find that
x = 48.7 m
The presence of an imaginary root (such as 4i) requires the presence of the complement of that root (which is -4i). Thus, there are 3 roots total here.
Answer:
So the answer would be 24.15 the amount the tip is is 3.15
Step-by-step explanation:
A tip or gratuity is an extra sum of money paid to certain service workers for a provided service. Tip amounts, as well as acceptance, vary in different parts of the world. In some countries in East Asia such as Japan, tips are seen as insulting and can sometimes be interpreted as a bribe. In yet other countries such as the United States, tipping is widely expected, and in many cases, is even factored into a service worker's compensation towards satisfying the minimum wage requirement. This is important to note, since although tipping is entirely voluntary, many servers depend on tips to make a living in countries like the United States. As such, as a tourist, it can be helpful to research the tipping customs in the countries being visited. In the U.S. or any other country where tipping is expected, depending on the restaurant or the number of patrons at a table, gratuity may be automatically applied to the bill amount. As previously mentioned, tipping can be offensive in some countries, so although a citizen of the United States that is visiting another country may want to express their appreciation of the service provided, the gesture may in some cases result in the opposite effect.
Below is a map that provides some information regarding whether or not a tip is expected, or how a tip may be received in certain regions, as well as a table of typical tip amounts in the United States and Canada for different services.