Half the area of the rectangle shown is 24 inches. Write and solve an equation to find the value of 'x'

Answer:

Step-by-step explanation:

6x - 9y = 12

subtract 6x from both sides

-9y = 12 - 6x

divide both sides by -9

y = -4/3 + 2/3x

or

y = 2/3x - 4/3

The equation 6x – 9y = 12 written in terms of y is; y = (2/3)x - 4/3

Rewriting the equation 6x – 9y = 12 in terms of y is as follows;

Divide through by 9 so that we have;

y = (2/3)x - 4/3

Read More on Change of formula subject:

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Put the whole question

Answer:

4. 432 cm^2/2 = 216 cm^2

6. 309.76 mm^2

8. pi * 22^2 = 484pi (or, approximately 1,519.76) in^2

484/2 = 242pi or 759.88 in^2.

10. 297.84 in^2/2 = 148.92 in^2

Step-by-step explanation:

To find the area of a triangle, you take the base and multiply by the height, and then divide by 2. Hence giving me the answers I obtained in #4 and #10.

A square is equal on all sides, so you would just square the measurement of the one side.

To find the area of a circle, you would do pi times the radius^2. Since this is a semicircle, you actually should divide the number you got by 2. (Which is why I did so up above).

I hope this helps!

The area of a shape is the amount of space it can occupy.

The areas of the shapes are: 216cm[tex]^2,[/tex], 309.76mm[tex]^2,[/tex],760.61in[tex]^2,[/tex] and 148.92 in[tex]^2,[/tex] respectively

(a) Triangle

Given that:

[tex]Base = 27cm[/tex]

[tex]Height = 16cm[/tex]

The area is:

[tex]Area = 0.5 \times Base \times Height[/tex]

[tex]Area = 0.5 \times 27cm \times 16cm[/tex]

[tex]Area = 216cm^2[/tex]

(b) Square

Given that:

[tex]Length = 17.6mm[/tex]

The area is:

[tex]Area = Length^2[/tex]

[tex]Area = (17.6mm)^2[/tex]

[tex]Area = 309.76mm^2[/tex]

(c) Semi-circle

Given that:

[tex]diameter =44in[/tex]

First, calculate the radius (r)

[tex]r = 0.5 \times diameter[/tex]

[tex]r = 0.5 \times 44in[/tex]

[tex]r = 22in[/tex]

The area is:

[tex]Area = \frac{\pi r^2}{2}[/tex]

[tex]Area = \frac{3.143 \times (22in)^2}{2}[/tex]

[tex]Area = 760.61in^2[/tex]

(d) Triangle

Given that:

[tex]Base = 20.4in[/tex]

[tex]Height = 14.6in[/tex]

The area is:

[tex]Area = 0.5 \times Base \times Height[/tex]

[tex]Area = 0.5 \times 20.4in \times 14.6in[/tex]

[tex]Area = 148.92in^2[/tex]

Hence, the areas are: 216cm[tex]^2,[/tex], 309.76mm[tex]^2,[/tex],760.61in[tex]^2,[/tex] and 148.92 in[tex]^2,[/tex] respectively

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Answer:

P and W

Step-by-step explanation:

Its eqsy just pay attention in class.

Given:

A figure.

To find:

The four line segments that have point B as an endpoint.

Solution:

If A and B are two points, then

Segment AB is written as [tex]\overline{AB}[/tex].

Ray AB is written as [tex]\overrightarrow{AB}[/tex]. It means B is not the end point and the line is moving up to infinite.

Line segments that have point B as an endpoint are [tex]\overline{BA},\overline{BC},\overline{BH},\overline{BE},\overline{BF}[/tex].

Only option B represents the four line segments that have point B as an endpoint.

Therefore, the correct option is B.

Step-by-step explanation:

this chart is a life saver!

Answer: A.  the price for a shirt that originally cost s after a 21% discount

Step-by-step explanation:

Answer:

k

Step-by-step explanation:

Answer:

27x +20 (27 per hour plus the 20, x is how many hours)

27(5) +20

135 +20

$155

Step-by-step explanation:

i hope this helped :)

Answer:

tooth A

Step-by-step explanation:

0.23 = 0.230

0.230 > 0.195

Answer:

a

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

Answer:

B) x = 2√2, y = 2

Step-by-step explanation:

The easiest way to solve this is to see that because one corner is 90 degrees, and the other 45, then the third one must also be 45.  This means that the two sides on the right angle are the same length, so y = 2.

With that then, you can use the Pythagorean theorem to solve for x:

[tex]x = \sqrt{2^2 + 2^2}\\x = \sqrt{4 + 4}\\x = \sqrt{8}\\x = 2\sqrt{2}[/tex]

So the correct answer is b.  x is equal to two root two, and y is equal to two.

Answer:

sxqdwbvgefccsgcvnevn veb ehev ev nnmb

Step-by-step explanation:

Answer:

Disconformity.

Nonconformity.

Angular unconformity.

Paraconformity.

Buttress unconformity.

Blended unconformity.

Step-by-step explanation:

There are all the Non-conformities so pick the odd one that doesn't have these

Answer:

4684.5

Step-by-step explanation:

6000 * (1 - 6%)4 = 4684.5 (1.d.p)

Step-by-step explanation:

Acute angles measure less than 90 degrees. Right angles measure 90 degrees

Answer:

∠

it has to be 89° or less, i dont know what your asking, try asking g00gle

Answer:

1. 1 1/2 feet

2. 0.46

3a. 0.62 I'm not sure if this one's correct, it's worded weird

3b. -3.43

3c. 0.14

3d. -0.481

Answer:

Step-by-step explanation:

Temperature change is:

Answer:

-662.4

Step-by-step explanation:so u would just multiply the amount of change an hour by the amount of hours it changes which gives u the answer of -662.4.

Answer:

3 carrots, 4 crackers, and 6 grapes.

Step-by-step explanation:

The greatest common factor of 9, 12, and 18 is 3, so we know that we can make at most 3 identical lunchboxes. Now we have to divide each number by 3 to figure out how much of each item is in each lunchbox. 9/3=3, 12/3=4, and 18/3=6 so there will be 3 carrots, 4 crackers, and 6 grapes in each lunchbox.

Answer:

The value of the maximum wage is £87.2

Step-by-step explanation:

Here, we want to get the maximum wage given the ratio it has with the minimum wage

To get the value of the maximum wage, we proceed to multiply the value of the minimum wage by 10

Mathematically, that would be;

8.72 * 10 = £87.2

Answer:

3^6

3^4

Step-by-step explanation:

3.3.3.3.3.3=3^6

3.3.3.3.= 3^4

Answer:

16

Step-by-step explanation:

according to the question

5x-7=8x-55

8x-5x=-7+55

3x=48

x=48/3

x=16

Step-by-step explanation:

6x - 15 = 75, 6x = 90, x = 15.

2(2x - 1) = 46, 2x - 1 = 23, x = 12.

x + (x - 10) = 26, 2x = 36, x = 18.

5x - 3x = 10, 2x = 10, x = 5.

Hence the equations

in increasing order of x-values are:

5x - 3x = 10,

2(2x - 1) = 46,

6x - 15 = 75, and

x + (x - 10) = 26.

Answer:

5x - 3x = 10

2(2x - 1) = 46

6x - 15 = 75

x+(x - 10) = 26

Answer:

x=3 i think

Step-by-step explanation:

Answer:

4,800

Step-by-step explanation:

Just multiply 800 x 6, which gets 6,800. Then, get 11,600 and subtract 6,800 from it. You'll get 4,800.

Answer:

Step-by-step explanation:

so many isosceles triangles

y = 4 .. just by inspection.. we can see

SOH CAH TOA    <= ask me about this if you don't get it

Cos(x) = Adj / Hyp

we don't know the Hyp this time so solve for that

Hyp = Adj / Cos(x)

Hyp = 4 / Cos(45)

Hyp = 4 / [tex]\sqrt{2}/2[/tex]

maybe you know.. but i'll just remind you to bring the fraction up from the denominator... invert and multiply

Hyp = 4 * 2/[tex]\sqrt{2}[/tex]

Hyp = 8/ [tex]\sqrt{2}[/tex]

also we are supposed to write as a decimal rounded to the nearest 10th

Hyp = 5.66

Answer:

Y-intercept

Step-by-step explanation:

Because they both meet