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Eva8 [605]
4 years ago
14

Please help area and perimeter of functions

Mathematics
2 answers:
nalin [4]4 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]4 years ago
5 0
150 square units .........
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PLEASE HELP!!!! DUE TODAY
Tems11 [23]

Answer:

Step-by-step explanation:

$ 86,000 lies in the category $84201 - $ 160725

Tax = 14,382.50+ 24% of the amount over $84,200  

Amount over $84,200= 86,000 - 84,200 = $1,800

Tax for the amount $ 1,800 =24% * 1800 = 0.24 * 1800

                                             = $ 432

Tax for the amount $86,000 = 14382.50 + 432

                                               =$ 14814.50

3 0
4 years ago
The sum of three consecutive odd integers is 69. find the integers
Marta_Voda [28]
Let the integers be x-2, x, x+2.

Given,

x -2 + x + x + 2 = 69

3x = 69

x = 23

Hence, the integers are 21, 23 and 25.
6 0
3 years ago
Your class raised money by selling hot dogs and hamburgers. Hot dogs were sold for $.50 (fifty cents), and hamburgers were sold
LenKa [72]

Answer:

Number of hot dogs sold =  56

Number of  hamburgers sold = 52

Step-by-step explanation:

Let

Number of hot dogs sold = x

Number of  hamburgers sold = y

We can make equation from given equations:

0.50x+1y=80 (Hot dogs were sold for $.50 (fifty cents), and hamburgers were sold for $1 (one dollar). The total money raised by your class was $80. )

x+y=108  (Together you sold 108 hot dogs and hamburgers.)

Now we cam solve these system of equations to find value of x and y

0.50x+y=80--eq(1)\\x+y=108--eq(2)

Subtract both equations to get value of x:

0.50x+y=80\\x\:\:\:\:\:\:\:\: + y=108\\-\:\:\:\:\:\:\:\: -\:\:\:\:\:\: -\\---------\\-0.5x=-28\\x=\frac{-28}{-0.5}\\x=56

We get value of x = 56

Now putting value of x in equation 2 to find value of y

x+y=108\\56+y=108\\y=108-56\\y=52

So, we get y = 52

Therefore,

Number of hot dogs sold = x = 56

Number of  hamburgers sold = y = 52

6 0
3 years ago
HELPP. Mary and Frank have two bags in front of them. Mary's bag has 4 marbles; blue, yellow, red
FromTheMoon [43]

Answer: 1/12 is the answer

Step-by-step explanation: 3 , 4

1 of those colors so , 1/3 x 1/4 = 1/12!!

i hope that helps <3

7 0
3 years ago
The length of a rectangle is 7 inches longer than it is wide. If the area is 20 square inches, what are the dimensions of the re
Arada [10]

Area of a rectangle is length x width.

Let the width = x

The length would be x +7. ( 7 inches longer than the width)

Area = 20

Set up the formula:

20 = x * x+7

Simplify the right side:

20 = x^2 + 7x

Subtract 29 from both sides:

X^2 + 7x -20 = 0

Solve using the quadratic equation

X = -b + sqrt(b^2 -4ac) / 2a

X = -7 + sqrt(7^2-4(1)(-20) / 2(1) (exact answer)

X = 2.178908 ( as a decimal)

The width is 2.178907 inches (round as needed)

The length would be 9.178907 inches ( round as needed.)

Depending on how you round, when you multiply them together you get approximately 20 square inches.

4 0
3 years ago
Read 2 more answers
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