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Travka [436]
3 years ago
14

Mike had a photo made into a postage stamp the photo was 7 by 9.5 inches and the stamp was 1.4 by 1.9 inches what is the scale f

actor of dilation
Mathematics
1 answer:
lions [1.4K]3 years ago
5 0
The scale factor would be 0.2 because you have to divide the new stamp by the original so it would be 1.9/9.5=0.2 and same with 1.4/7=0.2
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Alvin has 25 coins that values $4.00, some are quarters and some are dimes. What is the ratio of the numbers of dimes to the num
NemiM [27]

Since .25*10 is 2.50 and .10*15 is 1.50 it equals $4. So the ratio is 10:15 which turns to 2:3 ratio simplified.

7 0
3 years ago
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Solve the given triangles by finding the missing angle and other side lengths.
coldgirl [10]

Answer:

  1. a ≈ 27.65; B = 28°; c ≈ 19.17
  2. a ≈ 163.30; B = 120°; c ≈ 59.77
  3. A = 13°; b ≈ 0.3874; c ≈ 1.3737

Step-by-step explanation:

As long as you're seeking outside help, the use of a suitable tool is appropriate. Many graphing calculators, apps, and web sites are available for solving triangles.

__

Here, you're given two angles and a side. The third angle is the difference from 180° of the sum of the other two. For example, in the first problem, ...

  B = 180° -A -C = 28°

The missing sides are found using the law of sines. Since you are given a side, use that as the reference, and its opposite angle as the reference angle. Then you have ...

  side = sin(opposite angle)×<em>((reference side)/sin(reference angle))</em>

Note that the factor in italics remains the same for both remaining sides.

__

In the first problem, this becomes ...

  a = sin(112°)·14/sin(28°) ≈ 27.65

  c = sin(40°)·14/sin(28°) ≈ 19.17

__

The remaining problems are worked in similar fashion.

_____

<em>Comment on triangle solutions</em>

These are straightforward because you're given two angles. If you're given two sides and an angle, the solution method varies depending on which angle you're given (opposite the long side, the short side, or the unknown side). In the last case, the law of cosines is involved. In the second case, there are likely two solutions. Once you have two angles, you can proceed as above.

8 0
2 years ago
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A number, n, is added to 15 less than 3 times itself. The result is 101. Which equation can be used to find the value of n?
Elena L [17]
N + (3n - 15) = 101 is the equation, the answer to the equation is 29
3 0
3 years ago
I'm confused on how to create ratios
Rzqust [24]

Answer:

Latoya:

cran : lem = 2 1/5 : 1 4/5

= 11/5 : 9/5

= 11 : 9

Lem : total = 9 : 20

Parker:

cran : lem = 2 1/2 : 3 1/2

= 5/2 : 7/2

= 5 : 7

Lem : total = 7 : 12

Step-by-step explanation:

8 0
2 years ago
A clerk is marking up merchandise 34%. The original price of an item is $455. What will be the retail price?
Nadusha1986 [10]
To find markup price, multiply the original number (455) by 1 + the decimal equivilent of the percent increase (.34)
so
455*1.34= $609.70
4 0
3 years ago
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