Answer is 88.2
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The bottom side is 500 units, so is the top side which is parallel to the bottom side.
We'll use the tangent function as we know the adjacent side is 500 and the opposite side is the unknown x.
tan(angle) = opposite/adjacent
tan(10) = x/500
500*tan(10) = x
x = 500*tan(10)
x = 88.16349 ... use a calculator (make sure you are in degree mode)
x = 88.2 ... rounding to one decimal place
Answer:
Step-by-step explanation:
This is quite simple, you can see that the x-axis stays the same so then you know that it is a vertical line. You can tell because any point on this line will be (2,x). So to graph it, you draw a vertical line where x=2
Answer:
There are 8 dimes there.
Step-by-step explanation:
This question is solved used a system of equations.
I am going to say that:
x is the number of nickels.
y is the number of dimes.
19 coins
This means that x + y = 19.
A nickel is worth $0.05. A dime is worth $0.1. The total of these coins is $1.35. So
0.05x + 0.1y = 1.35
How many dimes are there?
We have to find y.
From the first equation: x = 19 - y.
Replacing in the second:
0.05(19 - y) + 0.1y = 1.35
0.95 - 0.05y + 0.1y = 1.35
0.05y = 0.4
y = 0.4/0.05
y = 8
There are 8 dimes there.
The formula to find the area of a sector is:
A =
In this case:
Degree = 40
Radius = 8
^^^Plug these numbers into the formula given above
A =
Solve
A = π8²
A = π64
A =
A = 7.1111111π
When rounded:
7.1π is the area of the sector
Hope this helped!
~Just a girl in love with Shawn Mendes