Let the distance of Jill form the base of the tower be x, then tan 40 = 100/x
x = 100/tan 40 = 100/0.8391 = 119.18 meters
Let the height of the tower from the level of the top of Jill's apartment be y, then tan 30 = y/119.18
y = 119.18 x tan 30 = 68.8 meters
Therefore, the height of Jill's apartment is 100 - 68.8 = 31.2 meters
Answer:
The answer is 2 cakes.
Step-by-step explanation:
What we know:
-Each cake requires 2 1/2 cups of sugar.
-Sheila has 7 1/3 cups of sugar.
What we need to know:
-How many cakes can Sheila make with 7 1/3 cups of sugar.
Remember:
-You must make a whole cake.
Show your work:
-I am going to convert the fraction into a decimal.
-2 1/2=2.5 and 7 1/3=7.3
-2 cakes will require 5 cups of sugar and you will remain with 2.3 cups of sugar.
-You <em>cannot </em>use 2.3 cups of sugar to make a cake. It must be in full.
When you have two mutually exclusive events, to find the probability of one or another, you add the probabilities.
65+7=72
Final answer: B
Xy=130
y=3+x
x(3+x)=130
x²+3x-130=0
(x+13)(x-10)=0
x= -13 or 10
since the question says X and Y are positive we just dismiss-13
x=10
and y=13
Answer:
false.
Step-by-step explanation:
Given the function g(x) = f(x − k), can be sketched f(x) shifted k units horizontally. if k is negative, the function is shifted k units to the left.
Given the function g(x) = f(x) + k, we can say that the function is translated vertically upwards k times. If k is negative, the function is translated vertically downwards k times.
In this case, the function is translated two units to the right and 3 units down because the number "-3" is negative.
So it's false. The graph is translated three units downwards and 2 units to the right.
