Answer:
104degrees
Step-by-step explanation:
From the given diagram, line LJ bisects KN, hence arcKL = arcHJ
Given
arHJ = 4x
arc KJ = x+39
Equating both
4x = x+39
4x - x = 39
3x = 39
x = 39/3
x = 13
Since arcHK = arcHJ + arcKJ
arcHK = x+39+4x
arcHK = 5x+39
arcHK = 5(13) + 39
arcHK = 65+39
arcHK = 104degrees
Hence the measure of arcHK is 104degrees
Answer: The correct answer is B; 10,240π in³
Step-by-step explanation: To calculate the volume of a cylinder, the given formular is
Volume = π r² h, where
radius (r) = 16
height (h) = 40
Pi (π) = 3.14
It is important to take note that in questions like these, the value of pi is usually given as 3.14 or 22/7. However, for this particular question, the answer should be expressed in terms of pi, (that is, the answer must include pi). For that reason we shall leave pi as it is, and we shall not use it's value when applying the formular.
Therefore, inserting the values of radius, height and pi into our formular, we now have;
Volume = π r² h
Volume = π x 16² x 40
Volume = π x 256 x 40
Volume = π x 10,240
Therefore the exact volume of the cylinder = 10,240π in³
Answer:
12+40= 52
180-52=128
Step-by-step explanation:
Angles in a triangle add up to 180
so if two sides are given , they must be added and subtracted from 180.
which gives us 180-52=128
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Hence, the value of z is:
20
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Step-by-step explanation:</u></h3>
The point C is the mid point of the line segment VW.
That is it divides the line segment VW into two equal segments.
i.e. Length of segment VC= Length of line segment CW.
Also we are given that:
Length VW=61
Length VC=z+13
and Length CW=z+8
This means that:
VC+CW=VW
i.e. z+13+z+8=61
⇒ 2z+21=61
⇒ 2z=61-21
⇒ 2z=40
⇒ z=20
Hence the value of z is:
20
Answer:
1. 244
2. 122
3. 61
Step-by-step explanation:
1. 244 because I divided 488 by 2.
2. Divide 244 by 2.
2. Divide 122 by 2.
