Answer:
Step-by-step explanation:
First, you gotta work out the hypotenuse of ABC, which is AC.
To do that, you need to figure out the scale factor between the two right-angled triangles. You can do that for this question because this is a similar shapes question.
12.5/5 = 2.5
The scale factor length between the two triangles is 2.5.
You can use 2.5 now to work out AC, so AC would be 13 x 2.5, which gives 32.5.
Now that you've got the hypotenuse and BC of ABC, you can use Pythagoras's theorem to work out the length of AB
Pythagoras's theorem = 
a = BC = 12.5
b = AB = we need to work this out
c = AC (the hypotenuse we just worked out) = 32.5
Let's both simplify and rearrange this at the same time so that we have our b on one side.
= 1056.25 - 156.25
b = 
b = 
b = AB = 30 We've found b or AB, now we can work out the perimeter of ABC.
Perimeter of ABC = AB + BC + AC
= 30 + 12.5 + 32.5
= 75 Here's the perimeter for ABC.
Answer:
Step-by-step explanation:
<h3>Given expression</h3>
<h3>Simplify the expression in steps as below</h3>
Used properties in solution process:
The surface area of a shape is the amount of space on the shape
When the dimensions are quadrupled, the new surface area would be 16 times the initial surface area
<h3>How to determine the surface area</h3>
The surface area of a rectangular prism is:
When quadrupled, we have:
Factor out 16
Substitute
The above means that:
The new surface area would be 16 times the initial surface area
Read more about surface areas at:
brainly.com/question/24571594
Answer: $28.30✔️
Step-by-step explanation:
Let C = cost before tax
Cell phone costs = C + C·6% = $30
C(1 + 0.06) = $30
C = $30/1.06 = $28.30
Answer: $28.30✔️
<h3> Verify </h3>
Cell phone after tax = $28.30 + $28.30·6/100 = $28.30 + $1.70 = $30✔️
<h2><em>Spymore </em></h2>
9 is 22.5% of 40 if that's the question.
