Answer:
176.39 inches or
14.70 feet
Step-by-step explanation:
Consider the right triangle made by Kristen, ground and shadow.
This triangle has one leg as 64 inches.
Next consider the right triangle formed by street light, ground upto shadow tip.
The two triangles have common angle of elevation and also another angle as 90 degrees.
Hence the two triangles would be similar
Also if A is the angle made by hypotenuse of both triangles with the ground we have
This value also equals by bigger triangle as
From these two we get
h = height of street light =
Solution:
We have to find the remainder when f(x) is divided by 
x²-1=0
x=
So, remainder is 13 and -13.
Answer:
Step-by-step explanation:
Using right estimation point simply means to form a bunch of rectangles between the two limits, x =2 and x = 5. and add the areas of all those rectangles.
There must be 6 subdivisions between 2 and 5. so, to do that:
the length of each subdivision is 0.5 units. That also means that the 6 rectangles in between the limits will each have the base length of 0.5 units.
So the endpoints of each subdivision from 3 to 5 will be:
By <em>right </em>endpoint approx<em>, </em>we mean that the height of the rectangles will be determined by the right endpoint of each subdivision, that is, it must be equal to the function value of the first limit.
Note that we have used the right-end-point of the subdivision to determine the height the rectangles.
All that's left to do now is to simply calculate the areas of the each of the rectangles. And add them up.
the base of each of the rectangle is 
and the height is determined in the table above.
Answer:
286
Step-by-step explanation:
Given : Myra asked Annabelle to buy her some perfume while she was in France. Annabelle paid 200 euros for it. Myra wants to pay Annabelle back in U.S. dollars.
To Find: If the foreign exchange rate between the U.S. dollar and the euro is 1:0.7, how much should Myra pay Annabelle?
Solution:
Since Annabelle paid 200 euros
And Myra wants to pay Annabelle back in U.S. dollars.
Let Myra paid amount to Annabelle in U.S. dollar be x
We are also given that the U.S. dollar and the euro is 1:0.7
⇒
⇒
⇒
⇒
⇒285.7≈286
Thus Myra should pay $286 to Annabelle
The correct answer for the given problem above would be the fourth triangle. So here is the given solution: Since Triangle 1 is already given with a measurement of 50 inches, and 80% of 50 inches if 40. Triangle 2 then is 40 inches. 80% of 40 is 32, so triangle 3 is 32 inches, and then 80% of 32 is 25.6 inches so triangle 4 is 25.6 inches. Therefore, the triangle that will first have a side length of less than 29 inches is triangle 4.
