Answer:
the square root of 80 is greater than the square root of 8.1
Step-by-step explanation:
A triangle has 3 angles.
The sum of the measures of the angles of a triangle is 180.
In an equilateral triangle, all angles have the same measure.
180/3 = 60
Answer: 60 degrees.
Answer:
Step-by-step explanation:
The computation of the volume of the cylinder is shown below:
As we know that
The Volume of the cylinder is
= base × height
= (4x)^2 + (5x)^2
=16x^2 + 25x^2
= 41x^3
Hence, the volume of the cylinder is 41x^3
Answer:
x = 10 or x = 2
Step-by-step explanation:
Solve for x:
x^2 - 12 x + 20 = 0
Hint: | Solve the quadratic equation by completing the square.
Subtract 20 from both sides:
x^2 - 12 x = -20
Hint: | Take one half of the coefficient of x and square it, then add it to both sides.
Add 36 to both sides:
x^2 - 12 x + 36 = 16
Hint: | Factor the left hand side.
Write the left hand side as a square:
(x - 6)^2 = 16
Hint: | Eliminate the exponent on the left hand side.
Take the square root of both sides:
x - 6 = 4 or x - 6 = -4
Hint: | Look at the first equation: Solve for x.
Add 6 to both sides:
x = 10 or x - 6 = -4
Hint: | Look at the second equation: Solve for x.
Add 6 to both sides:
Answer: x = 10 or x = 2
By using <em>triangle</em> properties and the law of the cosine twice, we find that the distance between points M and N is approximately 9.8 meters.
<h3>How to determine the distance between two points</h3>
In this problem we must determine the distance between two points that are part of a triangle and we can take advantage of properties of triangles to find it. First, we determine the measure of angle L by the law of the cosine:
L ≈ 62.464°
Then, we get the distance between points M and N by the law of the cosine once again:
MN ≈ 9.8 m
By using <em>triangle</em> properties and the law of the cosine twice, we find that the distance between points M and N is approximately 9.8 meters.
To learn more on triangles: brainly.com/question/2773823
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