To get the surface area of the sphere, we need to know the radius. Since the volume is given, we can get the radius.
Volume =
π r³
5000πm³ =
π r³
5000m³ =
r³
5000m³ x 3 = 4r³
=
<span>
</span>∛3750 = ∛r³
r = 15.536m
r = 15.54m
Since the radius is now known, substitute it directly to the surface area formula
A = 4π x r²
A = 4π x (15.54)²
A= 3,034.67 m² or 3,035 m²
Answer:
yes its propotional
Step-by-step explanation:
The measure of the angle m∠CBD that forms an adjacent angle is 35 degrees.
<h3>What are adjacent angles?</h3>
Adjacent angles are angles that have common side and vertex.
Therefore, the common vertex is at point B.
m∠CBD = m∠ABD - m∠ABC
Therefore,
m∠ABD = 75 degrees
m∠ABC = 40 degrees
Hence,
m∠CBD = 75 - 40
m∠CBD = 35 degrees
learn more on angles here; brainly.com/question/1592068
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Answer:
both functions have the same graph
Step-by-step explanation:
The first function is described in terms of its slope and y-intercept, so can be written in slope-intercept form as ...
y = mx + b . . . . m = slope (-7/9); b = y-intercept (3)
y = -7/9x +3
__
The second function is written in point-slope form:
y -k = m(x -h) . . . . m = slope (-7/9), point = (h, k) = (18, -11)
y +11 = -7/9(x -18)
If we rearrange the second equation to the form of the first, we get ...
y = -7/9x +14 -11 . . . . eliminate parentheses, subtract 11
y = -7/9x +3 . . . . . . . matches the equation of the first function
__
Both functions describe the same relation.
The first answer angle AB is congruent to angle DE