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Elena L [17]
3 years ago
12

Nadia is making a copy of an image on the copy machine. She needs to enlarge it, and decides to enlarge it by a scale factor of

three. If one side of the original is 1 1/2 in., how big is that same side after she makes the copy?
Mathematics
2 answers:
r-ruslan [8.4K]3 years ago
7 0
The new side will measure;
3/2*3
=9/2
=4.5 inches
PIT_PIT [208]3 years ago
5 0

Answer:

4\frac{1}{2}in

Step-by-step explanation:

We know that one side of the original is

1\frac{1}{2}in

Also, the copy machine enlarges the original by a scale factor of three. This means that the enlarged result is three times bigger that the original. Remember that a scale factor multiplies the original measure.

So, the bigger copy would be

3\times 1\frac{1}{2}in=3 \times \frac{3}{2}=\frac{9}{2}=4\frac{1}{2}in

Therefore, the image changed from 1\frac{1}{2}in to 4\frac{1}{2}in.

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Vsevolod [243]

Answer:

  • angles: 31.42°, 31.42°, 117.16°
  • legs: 23.79 m

Step-by-step explanation:

The base angles can be found from the definition of the tangent function:

  tan(base angle) = height/(half-base length)

  base angle = arctan(12.4/20.3) ≈ 31.418°

Then the apex angle is double the complement of this:

  apex angle = 2(90° -31.418°) ≈ 117.164°

The base angles are 31.42°, and the apex angle is 117.16°.

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The leg lengths can be computed from the Pythagorean theorem applied to the altitude and the half-base length.

  leg length = √(12.4² +20.3²) = √565.85 ≈ 23.789 . . . . meters

The length of the legs is about 23.79 m.

5 0
3 years ago
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andrezito [222]

angle 5 and angle 4 are exterior angles

7 0
2 years ago
determine whether the lines intersect and if so find the point of intersection and the cosine of the angle of intersection x=4t+
Fittoniya [83]

Answer:

As the lines are not intersecting nor parallel, they must be skew.

Step-by-step explanation:

Question is incomplete, we consider the nearest match available online.

Parametric equations of two lines are:

L₁ : x=4t+2 , y = 3 , z =-t+1

L₂: x=2s+2 , y= 2s+5 , z = s+1

If lines are parallel then parametric coordinates must be equal scalar multiple of each other which s not true here.

4t+2=2s+2 ---(1)\\ \\3=2s+5---(2) \\\\-t+1=s+1---(3)

If lines are intersecting then parametric coordinates must be equal for some value of t and s.

From (3)\\-t=s\\From (2)\\\\s=\frac{3-5}{2}\\\\s=-1\\\implies t=1\\\\To\,\,check\,\, the \,\,values \,\,of \,\,s\,\, and \,\,t \,\,for\,\,intersection\,\,put \,\,them\,\, in\,\, (1)\\\\4(1)+2= 2(-1)+2\\ 6\ne0

Hence the lines are not intersecting nor parallel, they must be skew.

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A restaurant needs to plan seating for a party of 150 people. Large tables seat 10 people and small tables seat 6. Let x represe
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Answer:

(0, 25) or (3, 20) or (6, 15) or (9, 10) or (15, 0)

Step-by-step explanation:

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Mrs. Kemp had 20 students in her kindergarten class at the beginning of the year.
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Answer:

15%

Step-by-step explanation:

23 is 115% of 20 therefore, we can know that 23 is a 15% increase from 20.

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