Pls help ASAP!I will mark u brainliest, and pls answer correctly or I will report u A printing company is enlarging the image on a postcard to make a greeting card. The enlargement of the postcard’s rectangular image is done using a scale factor of 125%. Be sure to show all other related math work used to answer the following questions.
(a)Represent a scale factor of 125% as a fraction and decimal.
(b)The postcard’s dimensions are 7 inches by 5 inches. What are the dimensions of the greeting card?
(c)If the printing company makes a poster by enlarging the postcard image, and the poster’s dimensions are 28 inches by 20 inches, represent the scale factor as a percent.
(d)Write an equation, in terms of the scale factor, that shows the relationship between the areas of the
postcard and poster. Explain your equation.
(e)Suppose the printing company wanted to start with the greeting card’s image and reduce it to create the postcard’s image. What scale factor would they use? Represent this scale factor as a percent.
(f). In math class, students had to create a scale drawing that was smaller than the postcard image. Azra used a scale factor of 60% to create the smaller image. She stated the dimensions of her smaller image as 4 1/6 inches by 3 inches. Azra’s math teacher did not give her full credit for her answer. Why? Explain Azra’s error, and write the answer correctly

sina-sinb

cosb+cosa

tana-tanb

cos0+cos x pi/3

20tan

step-by-step explanation:

for this case we have that by definition, the surface area of a cylinder is given by:

where:

r: it is the radius of the cylinder

h: it is the height of the cylinder

we can also rewrite it as:

where:

la: it's the lateral area

ba: area of the base

option a

a) 40 more; b) old factory:   10%, new factory:   16%; c) week 4

explanation:

a) at week 0, we see in the graph that the new factory produces 190 specialty items.  

using the function, substituting 0 in for w,

this is a difference of 230-190 = 40.

b) the function for the old factory is written in the form f(x) = a(1+r)ˣ, where a is the original amount, x is the amount of time and r is the growth rate.   the equation for the old factory is ; 230 is in place of a and is the original amount; w is the amount of time; which means 1+r = 1.1.   this means that r must be 0.1 or 10%.

for the new factory, we find the percent of increase to find the growth rate; the formula for this is

between the first two points, the amount of change is 220-190 = 30; this gives us

30/190 = 0.158 ≈ 0.16 = 16%

c) at week 0, the old factory has 230 while the new factory has 190.

at week 1, the old factory has 230(1.1) = 253 while the new factory has 220.

at week 2, the old factory has 230(1.1²) = 278.3 while the new factory has 252.

at week 3, the old factory has 230(1.1³) = 306.13 while the new factory has 290.

at week 4, the old factory has 230(1.1⁴) = 336.743 while the new factory has 337.   this is the first week that the new factory surpasses the old.

3. 8,935,200 minutes

4. 227,040 feet