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Composite figures can be subdivided into standard shapes. The area of the considered composite shape is 112 sq. cm

Area of some standard shapes like circle, triangle, parallelogram, rectangle, trapezoid, etc is already derived.

When some shape comes which isn't standard figure, then we find its area by slicing it (virtually, like by drawing lines) in standard shapes. Then we calculate those composing shapes' area and sum them all.

Thus, we have:

[tex]\text{Area of composite figure} = \sum (\text{Area of composing figures})[/tex]

That ∑ sign shows "sum"

The missing image is attached below.

We can split this composite figure in two parts by extending the line CG to meed AE on the point D. It makes a square (top) and a rectangle(bottom) as shown in the right sided image.

Area of the figure = Area of the top square + Area of the bottom rectangle.

Length of AE = |AE| = 16 cm

|AE| = |AD| + |DE| = 16

|DE| = |GF| = 8 cm

Thus, we get:

|AD| + 8 = 16

|AD| = 8 cm

Assuming the sides AD and BC are parallel, and so as the pair of sides AC and BD, and adjacent sides are perpendicular, its a rectangle with length = width = 8 cm, so its a square of side length 8 inches.

Area of square ABCD of side length 8 inches = [tex]\rm side^2 = 8^2 = 16 \: cm^2[/tex]

Assuming opposite sides of DEFG are parallel to each other and adjacent ones are perpendicular, we get:

|DE| = |GF| = 8 cm

|EF| = |DG| = |DC| + |CG| = |AB| + |CG| = 8+8 = 16 inches

Thus, its a rectagle with dimensions of 8 cm by 16 cm.

Thus, its area is: [tex]\rm Length \times width = 8 \times 12 = 96 \: \rm cm^2[/tex]

Thus, area of the composite figure = 16 + 96 = 112 sq. cm.

Learn more about area of a composite figure here:

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Answer:

  p = 2

Step-by-step explanation:

A rational function has a vertical asymptote where the denominator is zero.

__

Your function will have a denominator that is zero when ...

  x -p = 0   ⇒   x = p

We are told there is a vertical asymptote at x = 2. That means ...

  p = 2

Answer:

[tex]Width = 11/2ft, Length = 18ft[/tex]

Step-by-step explanation:

I'm not sure this might be right, hope this is helpful!

Answer:

f(g(x)) = -1

Step-by-step explanation:

[tex]f(x) = \frac{1}{x} \\ \\ g(x) = x - 2 \\ \\ \implies \: f(g(x)) = \frac{1}{x - 2} \\ \\ \implies \: f(g(1)) = \frac{1}{1 - 2} \\ \\ \implies \: f(g(1)) = \frac{1}{ - 1} \\ \\ \implies \: f(g(1)) = - 1[/tex]

Answer:

it has only one solution x = 0

Step-by-step explanation:

4x² = 0

⇔ x² = 0   (4 > 0)

⇔ x = 0  (the formula: x² = 0 ⇔ x = 0)

We are given with

a = 3 inches

b = 1 inch

and c = ?

So as it is a right triangle and a and b are for legs

also c is for hypotenuse

=> We can apply Pythagoras theorem

[tex]\:\bf\boxed{Pythagoras\: Theorem\: =>\: c \:= \:\sqrt{a²\: +\:b²}}[/tex]

=> [tex]\:\mathtt{\:c \:= \:\sqrt{(3)²\: +\:(1)²}}[/tex]

=> [tex]\:\mathtt{\: c \:= \:\sqrt{9\: +\:1}}[/tex]

=> [tex]\:\mathtt{\: c \:= \:\sqrt{10}}[/tex]

=> [tex]\:\mathtt{\: c \:= \:3.16}[/tex]

Required nearest tenth number for hypotenuse = 3.2 inches

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Answer:

You didnt give us a question to answer, just a statement.

Step-by-step explanation:

Answer:

[tex]f(x) = x(x - 1)[/tex]

Step-by-step explanation:

The inverse of a quadratic function is not a function.

Answer:

A. 1.725 L

B. 0.0775 L or 775 mL

Step-by-step explanation:

Part A

↓ Determine the liters of juice Rachel used ↓

750 + 650 +325 = 1,725

Rachel used 1,725 mL of juice. Convert the given mililiters to liters.

[tex]1725 \: ml \: \times \frac{1liter}{1000 \: ml} = 1.725 \: liters[/tex]

→ Rachel used 1.725 L of juice

Part B.

Determine the amount of sparkling water added to the punch bowl.

2.5 - 1.725 = 0.775 L

0.775 L was added tot he punch bowl. Convert liters to milliliters. ↓

[tex]0.775 \: \times \frac{1000 \: ml}{1 \: liters} = 775 \: ml[/tex]

Therefore, the answer is:

1.725 L & 775 mL

Answer:

$9.33

Step-by-step explanation:

Interest = Principal × Rate × Time by 100

Therefore, I = 200×8×7/12 by 100

=16×7/12

=9.33

Answer:

It's about 962.89 cm^2

Answer:

962.89cm^2

Step-by-step explanation:

So, in this question, you have to find the radius of the circle because the area of a circle = πr^2. So first, you find r^2, and to do that, you divide 110 by π and you get 35.0140874802, now divide that by two and you get 17.5070437401 and that is your radius. Now, you do 17.5070437401 to the power of 2 (17.5070437401^2) and you get 306.496580518. Now multiply that by π and you get 962.89.

brainliest p l z

Answer:

48

Step-by-step explanation:

The sum of the measures of the angles of a triangle is 180°.

We know one angle measures 42°.

Another angle is a right angle, so it measures 90°.

Only the angle labeled x is unknown.

42 + 90 + x = 180

132 + x = 180

x = 48

Answer: 48

Answer:

4.33

Step-by-step explanation:

Answer:

Graph B

Step-by-step explanation:

Replace y with x and vice versa.

y=1/2x+2 becomes x=1/2y+2

Then solve for y. Subtract 2 from both sides, then multiply by 2 which results in:

y=2x-4

Graph B is the one that has a y-intercept at -4 and a rise/run of 2.

Answer:

[tex]\huge\boxed{\bf\:19}[/tex]

Step-by-step explanation:

Given,

Now, the expression is: [tex]20 - (3y - 4x)[/tex].

To solve this question we just need to substitute the values of x & y in the given expression. Then,

[tex]20 - (3y - 4x)\\= 20 - (3(7) - 4(5))\\= 20 - (21 - 20)\\= 20 - 1\\= \boxed{\bf\:19}[/tex]

[tex]\rule{150pt}{2pt}[/tex]

Answer:

24

Step-by-step explanation: 5 dozens = 60  so  3 +2=5 . 60 / 5 = 12 12 x 2 = 24

Answer:

[tex]4*\frac{1}{6}[/tex]

Step-by-step explanation:

The number lines end points are 0 and 1 so the whole number line has a value of 1.

The number line is also broken up into 6 sections.

Then we have the pink rectangles that cover up each section. There are 4 of them and each cover 1/6 of the number line

So the expression that would represent the model would be 4 x 1/6

Answer:

4 * 1/6

Step-by-step explanation:

So to begin, I would find out what all the answers are equal to.

4 * 1/8 = 4/8 = 1/2

4 * 1/4 = 4/4 = 1

4 * 1/6 = 4/6 = 2/3

4 * 1/3 = 4/3

Next I would rule out all the answers bigger or equal to one, so 4 * 1/4 and 4 * 1/3.

Last, this fraction splits one into six parts, and 4 parts are highlighted. 4/6 is equal to 4/6. Your answer is 4 * 1/6

Answer:

3 ounces

Step-by-step explanation:

1 pound = 16 ounces

2(16) + 2(16) = 16 = 80 ounces of train mix - 5 from sister = 75 remaining

75 ounces of trail mix / 25 snack bags = 3 ounces of mix in each bag

ball starts at 26m

1st bounce = 13 m

2nd bounce = 6.5 m

3rd bounce = 3.25 m

4th bounce = 1.625 m

5th bounce = 0.8125 m

6th bounce = 0.40625 m

7th bounce = 0.203125 m

answer: 0.203125 meters

Answer:

sa =45

vol = 6000.

I hope it helps. and if you can, give me the brainlist

Answer:

x = -5/3

Step-by-step explanation:

-4 = [tex] \dfrac{20}{3}x[/tex]

-4×3 = 20 x

-12 = 20 x

[tex]x = \dfrac{-5}{3}[/tex]

Answer:

What option are you talking about for, is it for your quiz or for your classwork

Step-by-step explanation:

an ordered pair is always the combination of an input value and the corresponding output value.

so, it is all already written in the table :

(1, 1)

(2, 4)

(3, 9)

(4, 16)

(5, 25)

Answers:

The ordered pairs are:

================================================

Explanation:

The top row represents the inputs, while the bottom row is the outputs.

Each ordered pair is of the form (input, output)

Each column represents a different ordered pair.

For example, the last column has the input 5 and output 25 to give the ordered pair (5,25)

Extra Notes:

Answer:

0.7

Step-by-step explanation:

Since 7 is above 5, you round 0.676 to 0.7

Answer: 0.7

Step-by-step explanation:

The nearest tenth is one decimal space after the dot. ex: 0.1234

Therefore, rounding 0.676, the 7 is ≥ 5, therefore we round the 6 up one number. This means the 0.6 becomes 0.7.

Answer:

x = 87

Step-by-step explanation:

37 + 56 = 93

triangles always equal to 180

180 - 93 = 87