Answer:
The answer is 1.833 radians
Given:
In a right triangle, the measure of one acute angle is 12 more than twice the measure of the other acute angle.
To find:
The measures of the 2 acute angles of the triangle.
Solution:
Let x be the measure of one acute angle. Then the measure of another acute is (2x+12).
According to the angle sum property, the sum of all interior angles of a triangle is 180 degrees. So,




Divide both sides by 3.


The measure of one acute angle is 26 degrees. So, the measure of another acute angle is:



Therefore, the measures of two acute angles are 26° and 64° respectively.
Answer:
Step-by-step explanation:
The radius it .5 of the diameter so in this case the radius is 11. The formula for area is pi*r^2= pi*11^2=pi*121=380.13
The mass of lead cylinder is: 859.10 grams
Step-by-step explanation:
In order to find the mass of a cylinder we have to find the volume first
Given
Radius = r = 2 cm
Height = h = 6 cm
The volume of cylinder is given by:

Putting the values

Now,
Density of lead per cm^3 = 11.4g

The mass of lead cylinder is: 859.10 grams
Keywords: Volume, Density
Learn more about volume at:
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Answer:
x=124.75
Step-by-step explanation:
Sum of angles of a triangle=180°
(x-40)+(x-20)+(1/2- 10)=180°
(x-40)+(x-20)+(−9.5)=180°
x-40+x-20−9.5=180°
x+x-40-20-9.5=180°
2x−69.5=180°
2x=180°+69.5
2x=249.5
2x/2=249.5/2
x=124.75