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laiz [17]
3 years ago
5

A rectangular photograph measuring 2 inches by 4 inches is enlarged by a scale factor of 8. What are the new dimensions of the p

hotograph? Can ya explain how you got the answer too?
Mathematics
2 answers:
worty [1.4K]3 years ago
4 0

Answer:

original: 2x4

scale factor: 8

new dimensions:

2x8=16

4x8=32

(To get the new dimensions all you have to do is multiply the sides by the scale factor)

Step-by-step explanation:

Alenkinab [10]3 years ago
4 0

Answer:

16 in by 32 in

Step-by-step explanation:

2 x 8 = 16

4 x 8 = 32

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Solving Equations<br> ve<br> x + 14 = 7x + 32 - 3x
Mkey [24]

Answer:

-6

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

x+14=7x+32−3x

x+14=7x+32+−3x

x+14=(7x+−3x)+(32)(Combine Like Terms)

x+14=4x+32

x+14=4x+32

Step 2: Subtract 4x from both sides.

x+14−4x=4x+32−4x

−3x+14=32

Step 3: Subtract 14 from both sides.

−3x+14−14=32−14

−3x=18

Step 4: Divide both sides by -3.

−3x/−3=18/−3

x=−6

5 0
3 years ago
The members of a high school band asked a number of students whether they would like blue, gold, or both for the uniforms for th
MaRussiya [10]

The values of a and b are a = 33% and b = 43% ⇒ last answer

Step-by-step explanation:

The venn-diagram contains:

  • A circle labeled blue 32
  • A circle labeled gold 25
  • The two circles are overlap with label 12 on the overlap

The table:

→ Band  :  blue  :  N.b  : total

→ gold   :  16%   :  a      :  49%

→ N.g     :  b       :  8%   :  51%

→ Total  :  59%  :  41%  :  100%

We need to find the values of a and b

From the table

16% represents the percentage of blue and gold uniforms (2nd row with 2nd column)

From venn-diagram

The common part of blue and gold label with 12 (overlap of two circles)

∴ 16% of the total number of students = 12

∵ 16% × x = 12

∴ \frac{16}{100} × x = 12

∴ 0.16 x = 12

- Divide both sides by 0.16

∴ x = 75

∵ x represents the total number of students

∴ The total number of students were asked is 75

From the table

b represents the percentage of blue but not gold uniforms (3rd row and 2nd column)

From venn-diagram

The part that has blue and not gold labeled with 32 (the part of the blue circle not in the gold circle)

∴ 32 of the total number of students like the blue but not gold

- Divide 32 by the total 75 , then multiply the quotient by 100%

   to find the percentage of blue but not gold

∴ b = \frac{32}{75} × 100% = 42.6666%

∴ b ≅ 43%

From the table

a represents the percentage of gold nut not blue uniforms (2nd row and 3rd column)

From venn-diagram

The part that has gold and not blue labeled with 25 (the part of the gold circle not in the blue circle)

∴ 25 of the total number of students like the gold but not blue

- Divide 25 by the total 75 , then multiply the quotient by 100%

   to find the percentage of gold but not blue

∴ a = \frac{25}{75} × 100% = 33.3333%

∴ a ≅ 33%

The values of a and b are a = 33% and b = 43%

To check your answer complete the table you will find the total of it is 100% ( for the columns 16% + 43% = 59% , 33% + 8% = 41% , then 59% + 41% = 100%, for the rows 16% + 33% = 49% , 43% + 8% = 51% , then 49% + 51% = 100%)

Learn more:

You can learn more about the probability in brainly.com/question/3756853

#LearnwithBrainly

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ale4655 [162]

Answer:

Following are the solution to this question:

Step-by-step explanation:

Please find the complete question in the attached file.

In the given equation, when the point t=0

So,

\to r(0) = (3 \cos 0)i + (0^4 - 6 \sin 0)j + (2e^{3\times 0})k)

           = (3 \times 1)i + (0 - 0)j + (2e^{0})k)\\\\ = 3i +  0j + (2 \times 1)k)\\\\ = 3i +  0j + 2k \\

The value of the coordinates are 3, 0, 2 . so, the equation of the line is:

\to \frac{(x-3)}{3 \cos \ t} = \frac{(y-0)}{(t^{4}-6 \sin \ t)} = \frac{(z-2)}{2e^{3t}}=k

5 0
3 years ago
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