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Eva8 [605]
3 years ago
14

Please help area and perimeter of functions

Mathematics
2 answers:
nalin [4]3 years ago
5 0

Answer:

= 150 square units

Step-by-step explanation:

Area of a right triangle is given by the formula;

1/2 bh ; where b is base and h is the height of the triangle

using Pythagoras  theorem, we can find the height;

h² = 20² - 16²

h = √144

  = 12 units

The base of the small triangle can also be found using Pythagoras theorem;

b² = 15² - 12²

b  = √ 81

   = 9

Therefore;

Area = 1/2 bh

        = 1/2 × 12 × (16+9)

        = 1/2 × 12 × 25

        = 6 × 25

        = 150 square units or 150 u²

     

valkas [14]3 years ago
5 0
150 square units .........
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Joel made egg sandwiches and tuna sandwiches in the ratio 2:3. He then made 15 more tuna sandwiches and the ratio changed to 1:3
Aleksandr [31]

Answer:

40 sandwiches

Step-by-step explanation:

egg sandwiches : tuna sandwiches

 2                         : 3

Multiply by x  because we do not know how many sandwiches, just the ratio

2x                       : 3x


Add 15  tuna sandwiches

2x                       : 3x+15

Now the ratio is 1:3


egg sandwiches : tuna sandwiches

 1                         : 3

Multiply by y  because we do not know how many sandwiches, just the ratio

y                           : 3y


Set the number of egg sandwiches equal

2x =y

then set the number of tuna sandwiches equal

3x+15 = 3y

We know have a system of 2 equations and 2 unknowns

Substitute y =2x into the second equation

3x+15 = 3(2x)

Distribute

3x+15 = 6x

Subtract 3x from each side

3x-3x+15 = 6x-3x

15 =3x

Divide by 3

15/3 = 3x/3

5 =x


egg sandwiches : tuna sandwiches

 2                         : 3

Multiply by x  because we do not know how many sandwiches, just the ratio

2x                       : 3x

2*5                        3*5

10                             15


He originally made 10 egg sandwiches and 15 tuna sandwiches

Then he made 15 more tuna sandwiches

The total number of sandwiches he made is

10+15+15 = 40 sandwiches  




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