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Calculus and Analysis
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asked 2021-03-09
To determine: The ratio of the sides of the triangles ABC and GHI.
Given:
Triangle ABC that is 75% of its corresponding side in triangle DEF.
Triangle GHI that is 32% of its corresponding side in triangle DEF.
Similarity
asked 2021-03-09
Similar Triangles and Triginimetric Functions Use the figure below.
What does similarity imply about the ratios
\(\displaystyle\frac{{{B}{C}}}{{{A}{B}}},\frac{{{D}{E}}}{{{A}{D}}},{\quad\text{and}\quad}\frac{{{F}{G}}}{{{A}{F}}}\)
?
Similarity
asked 2021-03-09
When is a rank one matrix diagonalizable? Justify your answer. What is one choice of the diagonalizing similarity? What happens when it is not diagonalizable? Justify your answer.
Similarity
asked 2021-03-07
Compute the similarity dimension of a strictly self-similar fractal with a replacement ratio of 5 and a scaling ratio of 4. Round to the nearest thousandth.
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asked 2021-03-07
If hearts are geometrically similar and the volume of blood pumped in one beat is proportional to the volume of the heart, how much more blood will a heart 5 cm wide pump in one beat than a heart that is 3cm wide?
Similarity
asked 2021-03-05
To prove: The congruency of
\(\displaystyle\triangle{R}{K}{M}\stackrel{\sim}{=}\triangle{O}{M}{K}\)
.
Given information: The following information has been given
\(\displaystyle\angle{M}{R}{K}=\angle{K}{O}{M}={90}^{{\circ}}\)
\(\displaystyle\angle{R}{K}{M}=\angle{O}{M}{K}\)
KM is the common chord
Similarity
asked 2021-03-05
To write: the name of the postulate, that justifies the given statement.
Given information:In
\(\displaystyle\triangle{A}{V}{B}{\quad\text{and}\quad}\triangle{N}{V}{K},\angle{A}=\angle{N}={60}^{{\circ}}\)
.
The given figure is as follows:
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asked 2021-03-02
To prove:The congruency of
\(\displaystyle\vec{{{M}{H}}}\stackrel{\sim}{=}\vec{{{J}{O}}}\)
.
Given information:
The following information has been given GJKM is a rhombus
\(\displaystyle\angle{J}{O}{G}=\angle{M}{H}{G}={90}^{{\circ}}\)
Similarity
asked 2021-03-02
To determine: Whether the triangle ABC and GHI are similar to each other.
Given:
Triangle ABC that is 75% of its corresponding side in triangle DEF.
Triangle GHI that is 32% of its corresponding side in triangle DEF.
Similarity
asked 2021-02-27
A spotlight at a building corridor is fastened to a wall 8m above the floor. A lady 1.75m tall moves away from the wall at a speed of
\(\displaystyle{0.75}\frac{{m}}{{s}}\)
.
a.)at what rate is the lenght of her shadow increasing?
b.)at what speed is the tip of her shadow moving?
Similarity
asked 2021-02-26
To prove:The extended proportions that are needed to prove
\(\displaystyle\triangle{R}{S}{T}\sim\triangle{X}{Y}{Z}\)
by the SSS similarity theorem.
Given
\(\displaystyle\triangle{R}{S}{T},\triangle{X}{Y}{Z}\)
are two triangles.
Similarity
asked 2021-02-26
Are pairs of triangles similar?
Given information:
Similarity
asked 2021-02-23
Give the explanation for the relation between the scale factor and the similarity ratio.
Given:
The given statement is that the MNOP is a dilation of ABCD.
Similarity
asked 2021-02-21
Find the similarity ratio of two circles with areas
\(\displaystyle{75}\pi{c}{m}^{{2}}{\quad\text{and}\quad}{27}\pi{c}{m}^{{2}}\)
.
Similarity
asked 2021-02-14
Prove that the similarity of polygons is an equivalence relation.
Similarity
asked 2021-02-13
Draw a graph for the original figure and its dilated image. Check whether the dilation is a similarity transformation or not.
Given:
The given vertices are
J(-6,8),K(6,6),L(-2,4),D(-12,16),G(12,12),H(-4,8)
Similarity
asked 2021-02-13
Are pairs of triangles similar?
Given information:
Similarity
asked 2021-02-12
Find the similarity ratio of two triangles with areas
\(\displaystyle{81}{f}{e}{e}{t}^{{2}}{\quad\text{and}\quad}{100}{f}{e}{e}{t}^{{2}}\)
.
Similarity
asked 2021-02-11
To determine:Given triangles are similar or not, if not give reason.
Given information:
Similarity
asked 2021-02-11
To determine:One similarity and one difference between the graphs of
\(\displaystyle\frac{{{x}^{{2}}}}{{{25}}}+\frac{{{y}^{{2}}}}{{{16}}}={1}{\quad\text{and}\quad}\frac{{{\left({x}-{1}\right)}^{{2}}}}{{{25}}}+\frac{{{\left({y}-{1}\right)}^{{2}}}}{{{16}}}={1}\)
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