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kogti [31]
3 years ago
8

Find the area of the irregular figure. 14 cm 12cm 21 cm 14 cm 16 cm

Mathematics
1 answer:
stiv31 [10]3 years ago
8 0

Answer:

Step-by-step explanation:

Find the area of each shape (rectangle and triangle) and then add the areas together.

Area of rectangle:

A = bh

A = 14*12 = 168 cm2

Area of triangle:

A = 1/2*bh

A = 1/2(16)(21 - 12)

A = 1/2(16)(9)

A = 1/2(144)

A = 72 cm2

Add areas together: (area of the whole shape)

168 + 72 = 240 cm2

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A function is defined by f (x) = 5 (2 minus x). What is f(–1)? –5 5 15 53
Helen [10]

Answer:

f(-1) = 15

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right<u> </u>

<u>Algebra I</u>

  • Functions
  • Function Notation

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

f(x) = 5(2 - x)

<u>Step 2: Evaluate</u>

  1. Substitute in <em>x</em> [Function f(x)]:                                                                           f(-1) = 5(2 - -1)
  2. (Parenthesis) Subtract:                                                                                     f(-1) = 5(3)
  3. Multiply:                                                                                                             f(-1) = 15
5 0
3 years ago
Read 2 more answers
The Frill family and the Smith family go to the movies.
Sati [7]

Step-by-step explanation:

Let a be the price of 1 adult ticket.

Let c be the price of 1 child ticket.

given,

6a + 2c = 124

as equation 1,

and

3a + 5c = 100

as equation 2.

Now we will solve for a and c using elimination method of simultaneous equations.

Now we multiply equation 2 by 2 to eliminate a and solve for c.

3a \times 2 + 5c \times 2 = 100 \times 2 \\ 6a + 10c = 200

This new equation will be equation 3.

Now we will use equation 1 - equation 3 to eliminate a and solve for c.

(6a - 6a) + (2c - 10c) = 124 - 200 \\ 0 + ( - 8c) =  - 76 \\  - 8c =  - 76 \\ c =  - 76 \div  - 8 \\  = 9.5

Now substitute c into equation 2.

3a + 5(9.5) = 100 \\ 3a + 47.5 = 100 \\ 3a = 100 - 47.5 \\ 3a = 52.5 \\ a = 52.5 \div 3 \\  = 17.5

Therefore one adult ticket will cost $17.50 and one child ticket will cost $9.50.

7 0
3 years ago
What is 1 3/4 divided by 2/5​
sveta [45]

Answer:

35/8

Step-by-step explanation:

1 3/4 = 1 + 3/4 = 4/4 + 3/4 = 7/4.

So 1 3/4 ÷ 2/5 = 7/4 × 5/2 = 35/8.

6 0
3 years ago
A car travels at a speed of 55 miles per hour. How far will it travel in 5 hours?
kiruha [24]

Answer:

55*5=275

Step-by-step explanation:

3 0
4 years ago
Read 2 more answers
Esteban is shopping for a bookshelf. He has 58 non-fiction books and 145 fiction books. He wants each shelf to have the same num
emmasim [6.3K]

Answer:

7

Step-by-step explanation:

Criteria:

• same number of books on each shelf

 ⇒find a number that divides 58 and 145

• greatest number of books on each shelf

 ⇒find the greatest number that divides 58 and 145

Find the GCF of 58 and 145.

58 = 2 ⋅ 29

145 = 5 ⋅ 29The GCF of 58 and 145 is 29.

Each shelf will contain 29 books.

There are 203 total books (because 58 + 145 = 203).

Divide 203 by 29 to find the number of shelves there should be.

203 / 29 = 7

Therefore, there will be 7 shelves.

5 0
2 years ago
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