Answer:
x = 2
Step-by-step explanation:
Using the tangent ratio in the right triangle with either of the 2 angles and the exact value
tan60° =
tan60° = = =
Multiply both sides by x
6 = x ( divide both sides by )
x = × ← rationalising the denominator
x = = 2
Using the law of sins:
X/ sin(44) = 4510/sin(180-44-36)
x / sin(44) = 4510 / sin(100)
x = 3,181 yards.
We have been given that Lori runs 3 miles in 30 minutes.
First of all, we will find rate at which Lori runs per minute as:
We know that 1 minute equal 60 minutes. Let us convert speed into miles per hour as:
Therefore, Lori runs 6 miles per hour.
We have been given that Alexis runs 2 kilometers in 15 minutes.
We will find rate at which Alexis runs per minute as:
1 km = 0.621371 miles.
8 km = miles.
Therefore, Alexis runs 5 miles per hour.
Since Lori' speed is greater than Alexis's, therefore, Lori ran the fastest.
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Answer:</h2>
Tessellation is possible only for equilateral triangles, squares and regular hexagons. Therefore, there are only three regular polygons that tessellate.
Tessellation is possible, if each interior angle of a polygon is a factor of 360 degrees.
Now, in the given image, pentagon and octagon cannot tessellate.
And the triangle does not seem to be an equilateral triangle. But in general we can say that triangle tessellates.
So, the answer might be triangle (if its equilateral)
Answer:
Ahh! What a classic: Systems of Equations!
So, if you don't know what a system of equations is, its basically two equations with two variables combined into a system.
So, let x=# of pigs
And also, Let y=# of chickens
Let's make our first equation!
This is because there are 13 animals in a barn.
So then, knowing that a pig has 4 legs and a chicken 2:
This is because there are 40 legs in total, and we multiply the variable because that's how many legs each creature has.
So, here is our system!
Through Substitution (the inputting of something instead of a variable):
Then, we input it into the next equation:
This means that there are 6 chickens, and by inputting it into the first equation:
So there you have it!
FYI there are 6 chickens and 7 pigs.
Hope this helps!
P.S. Stay Safe!