1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
yaroslaw [1]
2 years ago
11

Find the area of the shape below

Mathematics
1 answer:
Sonbull [250]2 years ago
3 0

Answer:

396 cm²

Step-by-step explanation:

    Let us break this shape into two parts.

    The left part:

27 cm² * 10 cm² = 270 cm²

    The right part:

24 cm² - 10 cm² = 14 cm²

14 cm² * 9 cm² = 126 cm²

    Total area:

270 cm² + 126 cm² = 396 cm²

You might be interested in
How do you solve q-12=1
Ivanshal [37]
Add 12 to both sides of the equal sign, then simplify.
4 0
3 years ago
Read 2 more answers
Alicia's MP3 player contains 1,260 songs. Given that 35% of the songs are rock songs and 20% of the songs are rap songs, how man
ivanzaharov [21]
100% is a whole...

35+20=55
100-55=45

There are 45% of other songs
4 0
2 years ago
Marilyn has 7/8 yard of ribbon.  What is the maximum number of 1/16 yard-long pieces Marilyn can cut from this ribbon?
bazaltina [42]
The maximum number of 1/16 yard long pieces is 14
4 0
3 years ago
Read 2 more answers
Help me with questions please​
Anestetic [448]

Answer:

44

Step-by-step explanation:

because you just 22 x 22 and you get 44

6 0
2 years ago
Read 2 more answers
If(x) = x + 2 and h(x) = x-1, what is f • h](-3)?
deff fn [24]

Answer/Step-by-step explanation:

Composition functions are functions that combine to make a new function. We use the notation ◦ to denote a composition.

f ◦ g is the composition function that has f composed with g. Be aware though, f ◦ g is not

the same as g ◦ f. (This means that composition is not commutative).

f ◦ g ◦ h is the composition that composes f with g with h.

Since when we combine functions in composition to make a new function, sometimes we

define a function to be the composition of two smaller function. For instance,

h = f ◦ g (1)

h is the function that is made from f composed with g.

For regular functions such as, say:

f(x) = 3x

2 + 2x + 1 (2)

What do we end up doing with this function? All we do is plug in various values of x into

the function because that’s what the function accepts as inputs. So we would have different

outputs for each input:

f(−2) = 3(−2)2 + 2(−2) + 1 = 12 − 4 + 1 = 9 (3)

f(0) = 3(0)2 + 2(0) + 1 = 1 (4)

f(2) = 3(2)2 + 2(2) + 1 = 12 + 4 + 1 = 17 (5)

When composing functions we do the same thing but instead of plugging in numbers we are

plugging in whole functions. For example let’s look at the following problems below:

Examples

• Find (f ◦ g)(x) for f and g below.

f(x) = 3x + 4 (6)

g(x) = x

2 +

1

x

(7)

When composing functions we always read from right to left. So, first, we will plug x

into g (which is already done) and then g into f. What this means, is that wherever we

see an x in f we will plug in g. That is, g acts as our new variable and we have f(g(x)).

g(x) = x

2 +

1

x

(8)

f(x) = 3x + 4 (9)

f( ) = 3( ) + 4 (10)

f(g(x)) = 3(g(x)) + 4 (11)

f(x

2 +

1

x

) = 3(x

2 +

1

x

) + 4 (12)

f(x

2 +

1

x

) = 3x

2 +

3

x

+ 4 (13)

Thus, (f ◦ g)(x) = f(g(x)) = 3x

2 +

3

x + 4.

Let’s try one more composition but this time with 3 functions. It’ll be exactly the same but

with one extra step.

• Find (f ◦ g ◦ h)(x) given f, g, and h below.

f(x) = 2x (14)

g(x) = x

2 + 2x (15)

h(x) = 2x (16)

(17)

We wish to find f(g(h(x))). We will first find g(h(x)).

h(x) = 2x (18)

g( ) = ( )2 + 2( ) (19)

g(h(x)) = (h(x))2 + 2(h(x)) (20)

g(2x) = (2x)

2 + 2(2x) (21)

g(2x) = 4x

2 + 4x (22)

Thus g(h(x)) = 4x

2 + 4x. We now wish to find f(g(h(x))).

g(h(x)) = 4x

2 + 4x (23)

f( ) = 2( ) (24)

f(g(h(x))) = 2(g(h(x))) (25)

f(4x

2 + 4x) = 2(4x

2 + 4x) (26)

f(4x

2 + 4x) = 8x

2 + 8x (27)

(28)

Thus (f ◦ g ◦ h)(x) = f(g(h(x))) = 8x

2 + 8x.

4 0
2 years ago
Other questions:
  • Help !!!!!!!!!!!!!!!!!!!!!!
    15·1 answer
  • If 3.485 divided by 5.1 is written in long division form as 51 divided by 34850 so that the divisor is written as a whole number
    8·2 answers
  • Please help! If the two triangles are similar, which equation represents the value of side x?
    9·1 answer
  • Write an algebraic expression to represent the number of pens that can be bought with 30 cents if each pen costs c cents
    8·1 answer
  • Connor participated in a simulated jury study where he was asked to read a case vignette and then look at mug shots of two men a
    5·1 answer
  • I need help with this question I would appreciate it!!
    6·1 answer
  • Help its for someone!!​
    5·1 answer
  • 2
    12·1 answer
  • What is the answer to this 25+a=42
    13·2 answers
  • Determine la ecuación de la recta normal a la curva f(x)=ax(bx+a) en el punto de abscisa x=1. Dar como respuesta el intercepto a
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!