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Mice21 [21]
3 years ago
10

An equilateral triangle has a perimeter of 48 centimeters. If the triangle is dilated by a factor of 0.75, what is the length of

each side of the new triangle?
Mathematics
1 answer:
elena55 [62]3 years ago
4 0
The length of each side is 28 cm. 
the perimeter of the equilateral triangle is 48 cm. To find each side of the original triangle, you do 48/3=16cm. since the triangle dilate by 0.75, then you can just do 0.75*16=12cm. then you have to add 12 to 16 because the triangle gets bigger by 12 cm. so 16+12=28 cm.
You might be interested in
The measures of two complementary angles have a ratio of 3 : 2. What is the measure of the larger angle?
Mkey [24]

<em>Question:</em>

The measures of two complementary angles have a ratio of 3 : 2. What is the measure of the larger angle?

—————

<em>Solution:</em>

Call those two angles  x  and  y, where  x  is the larger one.

If they are complementary, then their sum equals  90°:

x + y = 90°      (i)


Also, the ratio between  x  and  y  is  3 : 2, so

  x           3
——  =  ——
  y           2


Product of the extremes = product of the means:

2x = 3y

2x – 3y = 0        (ii)


Now, just solve this system of equations:

  x  +  y = 90°         (i)
2x – 3y =   0          (ii)


Solve it with elimination. Since you want to know the value of the larger angle, which is  x, then eliminate the variable  y  by doing the following:

Multiply the equation  (i)  by  3,

3x + 3y = 270°        (iii)
2x – 3y =     0          (ii)


then add both equations, so you cancel out the variable  y:

3x + 2x + 3y – 3y = 270° + 0

3x + 2x = 270°

5x = 270°

         270°
x  =  ———
           5

x = 54°    <———  this is the measure of the larger angle.


I hope this helps. =)


Tags:  <span><em>system of linear equations elimination method solve complementary angles algebra geometry</em>
</span>
3 0
3 years ago
I need help on this question
Amiraneli [1.4K]
I think they need to get more than 120 cans
6 0
3 years ago
What is 3 divided by 2/3 x 3? <br><br> please show work!
IgorC [24]

<u>Answer:</u>

<em>The correct answer is 1 1/2</em>

<u>Step-by-step explanation:</u>

<em>First, We need to find out the sum of 2/3  x 3, change 3 into a fraction if you want</em>

<em>3x2=6 and 1x3 is 3, So 2/3 x 3 is 6/3 or 2</em>

<em>Next, divide 3 by 2, change to fractions if needed</em>

<em>Remember keep, change and flip, flip 2/3 to 1/2</em>

<em>Then, you multiply 3/1 and 1/2 3x1=3 1x2=2</em>

<em>Finally divide 3 by 2. 3  ÷ 2 is 1 1/2</em>

<em>I hope this helped!</em>

<em />

3 0
3 years ago
Instructions: Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
dangina [55]
f(g(x))=1/x^2+9/x\Rightarrow f(g(-1))=-8

f(g(x))=1/(x^2+9x) \Rightarrow g(f(1/2))=4/19
8 0
3 years ago
Read 2 more answers
What is the factored form of x2 − 4x − 5?
SVEN [57.7K]
<span>x^ − 4x − 5 = (x - 5)(x+1)
answer is </span><span>(x − 5)(x + 1) (last choice)</span><span>

</span>
4 0
2 years ago
Read 2 more answers
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