First, the angles of triangle MNP add up to 180º. Since angle M is 142º and angle P is 24º, angle N must be (180-24-142)º or 14º.
Now angle N is congruent to angle U.
2x - 50 = 14
2x = 64
x = 32
Segment NP is congruent to segment US, so 13 = 2x - y AND x=32.
13 = 62 - y
y = 49
Answer:
The answer is 1767.15cm^3
Step-by-step explanation:
The formula for finding the volume of a spherical object is 4/3(π)(r^3),where r is the radius of the object. But here only the diameter was given. And diameter=2(r), where r is radius.
So to find the radius, divide the diameter by 2. Since by making r the subject of the equation you get r=diameter/2.
Using the formula
4/3(π)(r^3)=(4π((15/2)^3))/3
=(4π(7.5^3)/3
=(4π(421.875))/3
Since π is 3.141592654
(4π(421.875))/3=1/3(4(3.141592654)(421.875))
=1/3(5301.437603)
=1767.145868
But I rounded off the answer to 2 decimal places and so I got 1767.14
Answer:
4.2 cm
Step-by-step explanation:
The law of cosines is applicable.
l² = k² +m² -2km·cos(L)
l² = 5.1² +1.2² -2·5.1·1.2·cos(35°) ≈ 17.4236
l ≈ √17.4236
l ≈ 4.2 . . . cm
Answer:
The left cylinder has greater than the right cylinder.
Step-by-step explanation:
Volume of a cylinder is the area of a base times the height.
As the radii are identical, the area of each base is πr²
As the left cylinder has greater height, it also has greater volume.
Answer:
20:4
Step-by-step explanation:
got it for u
