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The area of a 2D form is the amount of space within its perimeter. The total surface area of the rectangular prism is 203.2 units².

The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm2, m2, and so on. To find the area of a square formula or other quadrilaterals, multiply its length by its width.

The total surface area of a rectangular prism is given by the formula,

Total Surface Area = 2[(Length×width) + (Length×height) + (height×width)]

Given the length of the rectangular prism is 9cm, the width of a rectangular prism is 7.6 cm, and the height of the prism is 2 cm. Therefore, the total surface area can be written as,

[tex]\text{Total Surface Area} = 2[(9 \times 7.6) + (9 \times 2)+(2 \times 7.6)][/tex]

                              [tex]\rm = 2(68.4+ 18 + 2 \times 15.2)\\\\= 203.2\ cm^2[/tex]

Hence, the total surface area of the rectangular prism is 203.2 units².

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Answer:

.5x+.5-1/3x-1/3

Step-by-step explanation:

You then would combine like terms and get x

let a be aluminum and g be gold and k how many times:

2*10⁻¹mg a+ 6*10¹mg g= 154 lb

so a=kg

k=a/g

k=2*10⁻¹/6*10=1/300

a=1/300g

so Aluminum is 1/300 of gold.

Answer:

she should get in change $5.55

Answer:

$35.75

Step-by-step explanation:

35%=35/100

35/100x55=19.25

55-19.25=35.75

Answer:

1 1/3 pizzas.

Step-by-step explanation:

AddingL

5/6 + 3/6 = 8/6

= 1 2/6

= 1 1/3 pizzas.

Answer:

-3

Step-by-step explanation:

The equation for slope is y2-y1/x2-x1 so put you numbers in and you get

-6-6/-9+5

-12/4

and then -3

Answer:

-3

Step-by-step explanation:

[tex]y=mx+b[/tex] is equation of a straight line.

Here, the slope is m.

[tex]m=\frac{y_{2}-y_{1} }{{x_{2}-x_{1}}} =\frac{-6-6}{-9-(-5)} =\frac{-12}{-4}=-3[/tex]

Answer:

Step 3

Step-by-step explanation:

They divided, they should have multiplied

Answer:

15 percent

Step-by-step explanation:

just look up 180 plus each percentage

Answer:

494

Step-by-step explanation:

931-437=494 :)

The distance from the United States to Europe is 5200miles.

We have given that the,

There is a map of the world on the wall in Mr. Smith's classroom.

The scale on the map

lists 1 inch to 400 miles.

On his map, Mr. Smith measured 13 inches between the United States and Europe.

The value of one inch is 400 miles.

We have to determine the 13 inches in miles

We have given that

1inch=400miles

Therefore multiply both side by 13 so we get

13inches=13(400)miles

             =5200miles

Therefore we get, the distance from the United States to Europe is 5200miles.

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Answer:

5200

Step-by-step explanation:

If the scale on the map is 1 inch to 400 miles, and Mr. Smith measured 13 inches between the United States and Europe, we can find the distance in miles by multiplying the number of inches by the scale:

Distance in miles = Number of inches * Scale

Distance in miles = 13 inches * 400 miles/inch

Distance in miles = 5200 miles

Therefore, the distance from the United States to Europe, based on Mr. Smith's map, is 5200 miles.

Answer:

the answer is 75%

each dot represents 25% of the data

Below 345 meters are 3 points

so, 3 * 25% = 75%

Answer:

1. ∠ABC =60

2. ∠BCA =90

3. ∠CAB =30

Step-by-step explanation:

3 angles will equal 180 deg.

the right angle is 90 degrees, always.

so (90) + (5x) +  (9x+6) = 180

combine like terms

14x + 96 = 180

move like terms to isolate x

14x = 180-96

14x = 84

divide both sides by 14 to isolate x

x = 6

∠CAB = 5x    replace 6 for x, = 30

∠ABC = 9x+6, replace 6 for x = (9*6) + 6, = 60

According to the line plot, the total weight gained by the dogs that gained ¹/₈ of a pound or ³/₄ of a pound is C. 5 pounds.

A line plot is a graph that uses check marks above a number line, to show the frequency of each value.

In this line plot, the addition of the weights gained by dogs that gained ¹/₈ of a pound or ³/₄ of a pound shows the total.

The quantity of weight in pounds gained by the dogs that gained ¹/₈ of a pound = 1

The quantity of weight in pounds gained by the dogs that gained ¹/₄ of a pound = 2

The quantity of weight in pounds gained by the dogs that gained ³/₈ of a pound = 2

The quantity of weight in pounds gained by the dogs that gained ¹/₂ of a pound = 3

The quantity of weight in pounds gained by the dogs that gained ³/₄ of a pound = 4

Thus, based on the line plot, the total weight gained by the dogs that gained ¹/₈ of a pound or ³/₄ of a pound = 5 (1 + 4)

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Answer:

It would be the last one

Step-by-step explanation:

Answer:

x=30

Step-by-step explanation:

5=x/6

30=x

Answer:

12.7

Step-by-step explanation:

9^2+9^2=162

square root of 162 equals roughly 12.7

Use the pythagorean theorem

Answer:

4 + [tex]\frac{1}{2}[/tex] = 4 [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

We have 4 whole circles and half a circle so 4 + [tex]\frac{1}{2}[/tex] = 4 [tex]\frac{1}{2}[/tex]

Answer:

Simplifying

41n(7x) = 8

Remove parenthesis around (7x)

41n * 7x = 8

Reorder the terms for easier multiplication:

41 * 7n * x = 8

Multiply 41 * 7

287n * x = 8

Multiply n * x

287nx = 8

Solving

287nx = 8

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Divide each side by '287x'.

n = 0.02787456446x-1

Simplifying

n = 0.02787456446x-1

Step-by-step explanation:

Hey there!

12 1/2 * 4

= 12 1/2 * 4/1

= 12 * 2 + 1 / 2 * 4/1

= 24 + 1 / 2 * 4/1

= 25/2 * 4/1

= 25(4) / 2(1)

= 100 / 2

= 100 ÷ 2 / 2 ÷ 2

= 50 / 1

= 50

EASIER UNDERSTANDING….

= 25 + 25 + 25 + 25 / 2 + 0

= 50 + 50 / 2 + 0

= 100 / 2

= 100 ÷ 2

= 50

Therefore, your answer is: 50

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

B She is correct because the shape is a quadrilateral with at least one pair of Parallel sides.

Step-by-step explanation:

The side on the top is parallel with the side on the bottom.

It could not be A because there is only one pair of parallel sides.

It can’t be C or D because the shape is a trapazoid.

Answer:

B

Step-by-step explanation:

!! She is correct because the shape is a quadrilateral with at least one pair of parallel sides.

##Have a lovely day today ^^!

Answer:

12.5

Step-by-step explanation:

.25 x 50= 12.5

[tex]\\ \rm\Rrightarrow \dfrac{(11^6.6^9)^2}{11^3}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{11^{6(2)}.6^{9(2)}}{11^3}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{11^{12}.6^{18}}{11^3}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{11^{12-3}6^{18}}{}[/tex]

[tex]\\ \rm\Rrightarrow 11^96^{18}[/tex]

Answer:

B

Step-by-step explanation:

[tex]\sf Given \: expression\: :\dfrac{(11^6 \cdot 6^9)^2}{11^3}[/tex]

[tex]\sf Apply\:exponent\:rule\quad (a^b)^c=a^{bc} :[/tex]

[tex]\sf \implies \dfrac{11^{6 \times 2} \cdot 6^{9\times2}}{11^3}[/tex]

[tex]\sf \implies \dfrac{11^{12} \cdot 6^{18}}{11^3}[/tex]

[tex]\sf \implies \dfrac{11^{12}}{11^3} \cdot 6^{18}[/tex]

[tex]\sf Apply\:exponent\:rule\quad \dfrac{a^b}{a^c}=a^{b-c} :[/tex]

[tex]\sf \implies 11^{12-3} \cdot 6^{18}[/tex]

[tex]\sf \implies 11^{9} \cdot 6^{18}[/tex]

Answer:

4.375

Step-by-step explanation:

Answer:

-4.375

Step-by-step explanation:

7/2=3.5

1/4=0.25

5/8=0.625

5/8+1/4=0.875

-7/2-(5/8+1/4)= -4.375

Answer:

2πxy^2 unit^2

Step-by-step explanation:

area of circle=πr^2

=π×2xy^2

=2πxy^2

Answer:

Step-by-step explanation:

22000-18700=3300

3300/22000x100=15%

Answer:

It is a 15 percent decrease

Step-by-step explanation:

Divide 18700 by 22000, and your answer will be 0.85 but its asking for the decrease, 100-85=15, so 15% is the decrease.

Answer:

7

Step-by-step explanation:

3(y+5)=36

divide both sides by 3

y+5=12

minus 5

y=7

Three times the sum of a number y, and 5 is at most 36 is equivalent to  y = 7

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operation is called the arithmetic operator.

Operators which let do a basic mathematical calculation

+ Addition operation: Adds values on either side of the operator.

For example 12 + 2 = 14

- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.

for example 12 -2 = 10

* Multiplication operation: Multiplies values on either side of the operator

For example 12*2 = 24

Given that three times the sum of a number y, and 5 is at most 36.

⇒ 3(y+5)=36

Divide both sides by 3

⇒ y + 5 = 12

Subtract by 5 in the equation

⇒ y = 7

Hence, three times the sum of a number y, and 5 is at most 36 is equivalent to  y = 7

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Answer:

Perimeter =28 units.

Area = 45 unit^2.

Step-by-step explanation:

The length of  first side (joining first 2 points) = 5 - (-4) = 9  (as y coordinates are both -5)

The line joining the 2nd and third points = 0 - (-5) = 5

The line joining the 3rd and 4th points = 5 - (-4) = 9.

The line joining the first  and 4th points = 0 - (-5) = 5

So the perimeter = 2(5) + 2(9)

= 28 units.

Area =  5*9 = 45 unit^2.

Answer:

See below ~

Step-by-step explanation:

Finding Area

Finding Perimeter