3/4 of a number is 27.What's the number?
1 answer:
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Answer:
- a) Plots are similar
- b) x= 5577 feet
Step-by-step explanation:
<em>Refer to attached</em>
<h3>Question</h3>- a) Are the plots of land similar?
- b) Find to the exact value of x and rounded to the nearest tenth?
The small triangle have missing angle of 180° - (52° + 58°) = 70°
This is indicating both triangles have same 3 angle measures.
Since all angles are same, the triangles are similar.
<u>Corresponding sides, against corresponding angles are:</u>
- 6180 and 8240
- x and 7436
<u>As per property of similarity, the ratio of corresponding sides is same</u>
- 6180/8240 = x/7436
- x = 6180*7436/8240
- x = 5577 feet
The volume of the region R bounded by the x-axis is:
If the axis of revolution is the boundary of the plane region and the cross-sections are parallel to the line of revolution, we may use the polar coordinate approach to calculate the volume of the solid.
From the given graph:
The given straight line passes through two points (0,0) and (2,8). Thus, the equation of the straight line becomes:
here:
- (x₁, y₁) and (x₂, y₂) are two points on the straight line
Suppose we assign (x₁, y₁) = (0, 0) and (x₂, y₂) = (2, 8) from the graph, we have:
y = 4x
Now, our region bounded by the three lines are:
- y = 0
- x = 2
- y = 4x
Similarly, the change in polar coordinates is:
- x = rcosθ,
- y = rsinθ
where;
- x² + y² = r² and dA = rdrdθ
Therefore;
- rsinθ = 0 i.e. r = 0 or θ = 0
- rcosθ = 2 i.e. r = 2/cosθ
- rsinθ = 4(rcosθ) ⇒ tan θ = 4; θ = tan⁻¹ (4)
- ⇒ r = 0 to r = 2/cosθ
- θ = 0 to θ = tan⁻¹ (4)
Then:
Learn more about the determining the volume of solids bounded by region R here:
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