Given:
The right angle triangle with legs 4 units and 7 units.
To find:
The length of hypotenuse.
Solution:
Pythagoras theorem: In a right angle triangle,

Let x be the length of the hypotenuse.
Using the Pythagoras theorem for the given triangle, we get



Taking square root on both sides, we get
[∵Side length cannot be negative]

Therefore, the length of the missing side for the given right angle triangle is 8.06 units.
Answer: 30 cm
Step-by-step explanation:
The volume of the composite solid is 17000 cm³. To find h, we must first subtract the volume of the half cylinder from the composite volume.
From the figure, AE = MK, and so the radius of the half cylinder is 10cm. The volume of the half cylinder is thus
the volume of a cylinder. The volume of a cylinder is πr²h. So a half cylinder is 1/2 πr²h. This gives us a volume of
.
Thus, the volume of the right prism is 17000cm³ - 4400cm³ = 12600cm³. Consider the cross-section ABKJ. If we multiply this by AE, we'll have the volume of the right prism.
The ABKJ is a trapezoid so it's area is
. Thus the volume of the right prism is
. This gives us
, and thus h = 30 cm.
Answer: The value of x is 3.
Step-by-step explanation:
Since we have given that
10,11, 12 and x
Average of above numbers = 9
As we know that
Average is given by

Hence, the value of x is 3.
You set up a proportion. first, put the percent so if it's 30 percent, it would be 30 over 100. Then, set up the second part. is over of.