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IgorC [24]
2 years ago
5

A scale drawing of a house addition shows a scale factor of 1 in. = 3.3 ft. Josh decides to make the house addition smaller, and

he changes the scale of the drawing to 1 in. = 1.1 ft. What is the change in the scale factor from the old scale to the new scale? Help Please!!
Mathematics
2 answers:
emmasim [6.3K]2 years ago
7 0
It is decreased by a factor of 3. You can determine this by realizing that one inch original equals 3.3 feet, but the equals 1.1 feet, and 3.3/1.1 = 3.
trasher [3.6K]2 years ago
6 0

Answer:

<h2>it is 3</h2>

Step-by-step explanation:

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Nick = n
Ray = r

n=3r-30
n+r=74

3r-30+r=74
4r-30=74
4r=104
r=26
n=26*3-30
n=78-30
n=48
Nick is 48 years old and Ray is 26 years old
Hope this helps.
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2 years ago
A sidewalk bounds a circular playground at GeoCity Park. Parents can exercise by walking around on the sidewalk, while watching
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Answer:

125664.3 m²

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2 years ago
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Follow this link to view Jamie’s work. Critique Jamie’s work by explaining the reasonableness of the scenario and the accuracy o
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Answer:

See  below

Step-by-step explanation:

This graph could describe a relay race.

Jamie writes a scenario that can be modeled by the piecewise function on the graph.

The graph has time, in minutes on the x-axis and the distance, in miles on the y-axis.

The first part of the graph is the line starting from the origin through to the point (12, 1) then the second part starts from the point (12, 1) and ends on the point (20, 2).

1. A runner begins the race and runs at a steady pace for 1 minute.

  • This is incorrect as describes the wrong axis.

It should say: a runner begins a race and runs at a steady pace for 12 minutes, completing 1 mile distance.

<u>The equation for this part:</u>

  • y = mx + b
  • b = 0 as it starts at origin.
  • m = 1/12
  • y = 1/12x
  • x = [0, 12], y = [0, 1]

2. His partner then takes over and runs at a steady, but faster, pace for another 1 minute.

  • Again, as above, wrong axis is described.

It should say: his partner then takes over and runs at a steady, but faster, pace for another 8 minutes, completing the last 1 mile of the race.

<u>The equation for this part:</u>

  • b =1, as a starting point
  • m = (2-1)/(20-12) = 1/8
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7 0
2 years ago
Marty is asked to draw triangles with side lengths of 4 units and 2 units, and a non-included angle of 30°. Select all the trian
777dan777 [17]

Answer:

The drawn in the attached figure

see the explanation

Step-by-step explanation:

<em>First case</em>

In the triangle ABC

Let

a=4\ units\\b=2/ units\\B=30^o

Applying the law of sines

Find the measure of angle A

\frac{a}{sin(A)}=\frac{b}{sin(B)}

substitute the given values

\frac{4}{sin(A)}=\frac{2}{sin(30^o)}

sin(A)=1

so

A=90^o

Find the measure of angle C

In a right triangle

we know that

B+C=90^o ----> by complementary angles

B=30^o

therefore

C=60^o

Find the length side c

Applying the law of sines

\frac{c}{sin(C)}=\frac{b}{sin(B)}

substitute the given values

\frac{c}{sin(60^o)}=\frac{2}{sin(30^o)}

c=2\sqrt{3}\ units

therefore

The dimensions of the triangle are

A=90^o

B=30^o

C=60^o

a=4\ units\\b=2\ units\\c=2\sqrt{3}=3.46\ units

<em>Second case</em>

In the triangle ABC

Let

a=4\ units\\b=2/ units\\A=30^o

Applying the law of sines

Find the measure of angle B

\frac{a}{sin(A)}=\frac{b}{sin(B)}

substitute the given values

\frac{4}{sin(30^o)}=\frac{2}{sin(B)}

sin(B)=0.25

so

using a calculator

B=14.48^o

Find the measure of angle C

we know that

The sum of the interior angles in any triangle must be equal to 180 degrees

so

A+B+C=180^o

A=30^o\\B=14.48^o

therefore

30^o+14.48^o+C=180^o

C=135.52^o

Find the length side c

Applying the law of sines

\frac{c}{sin(C)}=\frac{a}{sin(A)}

substitute the given values

\frac{c}{sin(135.52^o)}=\frac{4}{sin(30^o)}

c=5.61\ units

therefore

The dimensions of the triangle are

A=30^o

B=14.48^o

C=135.52^o

a=4\ units\\b=2\ units\\c=5.61\ units

see the attached figure to better understand the problem

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2 years ago
An acute angle θ is in a right triangle with sin θ = six sevenths. What is the value of cot θ?
inysia [295]
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2 years ago
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