If a = 6 cm, b = 16 cm, and c = 2 cm, what is the surface area of the figure?

The coordinates of point Q is the location of point Q in the parallelogram

The coordinates of point Q is (2b + 2a,2c)

The coordinates are given as:

P(2b, 2c) Q(?, ?)  S(0, 0) R(2a, 0)

Since the shape is a parallelogram; it means that the distance PQ is the same as the distance RS.

The distance RS is calculated as:

RS = (2a - 0, 0 - 0)

This gives

RS = (2a, 0)

The coordinates of  Q is then calculated using:

Q = P + RS

This gives

Q = (2b,2c) + (2a,0)

Evaluate the sum

Q = (2b + 2a,2c)

Hence, the coordinates of point Q is (2b + 2a,2c)

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Answer:

Step-by-step explanation:

To solve this problem, first, all you have to do is use the distributive property.

Distributive property:

[tex]\Longrightarrow: \sf{A(B+C)=AB+AC}[/tex]

[tex]\sf{2x(3+2y)}[/tex]

Multiply.

[tex]\sf{2x*3+2x*2y}[/tex]

Solve.

[tex]\sf{2x*3=6x}\\\\\sf{2x*2y=4xy}[/tex]

Rewrite the problem down.

[tex]\Longrightarrow:\boxed{\sf{=6x+4xy}}[/tex]

I hope this helps! Let me know if you have any questions.

6x+4xy

Hope it helps.

Do comment if you have any query.

Answer:

the value of n is 9

Step-by-step explanation:

7:2=each interior angle/each exterior angle

7:2= (n-2)180/360

7/2=(n-2)/2

14=2n-4

2n=18

n=9

The equivalent expression to given expression 1/a⁷ is a⁻⁷. So, correct option is A.

The equivalent expression to 1/a⁷ can be found using the rule of exponents.

The rule states that when a non-zero number is raised to a negative exponent, it becomes the reciprocal of the number raised to the positive exponent.

In this case, the expression 1/a⁷ has a negative exponent, which means it can be written as the reciprocal of a raised to the positive exponent:

1/a⁷ = a⁻⁷

So, the correct equivalent expression is option a) a⁻⁷.

Option b) 7ᵃ is not equivalent to 1/a⁷. 7ᵃ means "7 raised to the power of a," which is different from 1/a⁷.

Option c) None of the above is also not correct because option a) a⁻⁷ is indeed the equivalent expression to 1/a⁷.

In summary, the equivalent expression to 1/a⁷ is a⁻⁷, which is option a).

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Complete question is:

Select the equivalent expression,1/a⁷=?

a) a⁻⁷

b) 7ᵃ

c) None of the above

Answer:

A) 3 1/2

Explanation:

[tex]\hookrightarrow \sf \dfrac{7}{8} \div \dfrac{1}{4}[/tex]

rewrite the following

[tex]\hookrightarrow \sf \dfrac{7}{8} * \dfrac{4}{1}[/tex]

join both fractions

[tex]\hookrightarrow \sf \dfrac{7*4}{8}[/tex]

multiply

[tex]\hookrightarrow \sf \dfrac{28}{8}[/tex]

simplify the following

[tex]\hookrightarrow \sf \dfrac{7}{2}[/tex]

turn into mixed fraction

[tex]\hookrightarrow \sf 3\dfrac{1}{2}[/tex]

Answer:

[tex]\dfrac{7}{2}[/tex]

Step-by-step explanation:

Given expression:

[tex]\dfrac{7}{8} \div \dfrac{1}{4}[/tex]

Simplify the expression:

[tex]\implies \dfrac{7}{8} \div \dfrac{1}{4}[/tex]

[tex]\implies \dfrac{7 \div 1}{8 \div 4}[/tex]

[tex]\implies \dfrac{7}{2}[/tex]

Answer:

  (c)  (111; 161°)

Step-by-step explanation:

The given vector (u) is a 4th-quadrant vector with a magnitude just over 35 units. A vector 3 times that length in the opposite direction (-3u) will be one with a magnitude close to 111 in the 2nd-quadrant.

  (111; 161°)

Answer:

B.) y = 5x

Step-by-step explanation:

The point-slope test (y₁ - y₂ = m(x₁ - x₂)) can be used to determine the slope of a line. The hypotenuse of a right triangle is the diagonal line, opposite of the right angle. The slope (m) is found using two points on the line.

First point: (1,5)      Second Point: (-2,-10)

y₁ - y₂ = m(x₁ - x₂) -----> (y₁ - y₂) / (x₁ - x₂) = m  

(5 - (-10)) / (1 - (-2)) = m

(15) / (3) = m

5 = m

The slope-intercept equation (y = mx + b) can be used to determine the y-intercept. The y-intercept is the "y" value when "x" is zero. In the equation, the y-intercept value is represented by "b". This variable can be found using the value of the slope and a point on the line.

Point: (-2,-10)            Slope: 5

mx + b = y

5(-2) + b = -10

-10 + b = -10

0 = b

After plugging in the values to the standard form equation, you are left with y = 5x. When "x" increases by one, the "y" value increases by five

Answer:

if 41 is 100% of 41, then divide 41 by 0.30 to get 136.7

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let the number be 'x'

0.30% of x = 41

[tex]\sf \dfrac{0.30}{100}*x = 41\\\\ x = 41*\dfrac{100}{0.3}[/tex]

x = 13666

The line that passes through (0 1) and (1 4) is a linear equation

The equation of the points is y = 3x + 1

The points are given as:

(x,y) = (0 1) and (1 4)

Start by calculating the slope (m)

m = (y₂ - y₁)/(x₂ - x₁)

So, we have:

m = (4 - 1)/(1 - 0)

Evaluate

m = 3

The equation is then calculated as:

y = m(x - x₁) + y₁

This gives

y = 3(x - 0) + 1

Evaluate the product

y = 3x + 1

Hence, the equation of the points is y = 3x + 1

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Answer:

27.5

Step-by-step explanation:

percentage by mass formula=partial mass/whole mass x 100

So 55/200 x 100 = 27.5

Answer:

Step-by-step explanation:

They have the same amount

Answer:

8

Step-by-step explanation:

see in the attached picture...

Answer:

52ft

Step-by-step explanation:

You divide the box in 2 pieces and multiply the numbers by the separate boxes that you made, then you add them.

5x2= 10

8-2= 6 -----> 7x6= 42

10 + 42 = 52

Answer: The first box is 56 The second box is 4 and the last is 52

Step-by-step explanation: The total area of the full rectangle is 8×7=56

The area of the small cut out portion is 2×2=4

The area of the remaining figure is 56-4=52

Answer:

>

Step-by-step explanation:

110% of 3 is 3.3

0.9% of 300 is 2.7

Hence, 110% of 3 is > then 0.9% of 300

Answer:

hypotenues =base square + height square then squareroot answer

[tex]f(x)=3x+2\\\\f(5)=3(5)+2 =15+2=17[/tex]

Answer:

Please see the analysis below.

Step-by-step explanation:

Answer:5,200ft and 145in is less than a mile and 40in

Step-by-step explanation: I got this answer by first figuring out how many feet are in 145in so i did 145 divided by 12 which gave me 12.083... so I added just 12 to 5,200 which gives 5,212

Then I know that there are 5,280ft in 1 mile which is already bigger than 5,212 then I still add 40 divided by 12 which equals 3.3... to the total which gives me 5,283ft which is more than 5,212

Hope this Helps!

Answer:

∠S = 58°

Step-by-step explanation:

RA = AD

∠BAD = ∠SRA

∠BAD + ∠RAB = straight line, 180° (supplementary angles)

Solve for x

∠BAD + ∠RAB = 180°

(6x + 8) + (9x + 7) = 180°

15x + 15 = 180

15x = 165

x = 11

Find ∠S

∠S = 4x + 14

∠S = 4(11) + 14

∠S = 44 + 14

∠S = 58°

I hope this helps!

Answer:

8x + 20 or 4(2x + 5)

Step-by-step explanation:

Perimeter equals length + width times 2. If the width is 3x + 4, and the length is x+6, you first add 3x + 4 + x + 6. You first add the like terms, 3x and x, which is 4x. Now you add 4 and 6, which equals ten. Now, you get 4x + 10. Lastly, you have to multiply it by two. 4x + 10 + 4x + 10 equals to 8x + 20. You add up the like terms 4x and 4x and 10 and 10, to get the total of 8x + 20.

Answer:

21

Step-by-step explanation:

Answer:

Step-by-step explanation:

5, 5, 5, 5, 4, 8, 6, 5, 5, 5, 6, 7, 0,6

Answer:

Im pretty sure x = 14!!

Step-by-step explanation:

I basically went through these steps!!

48+6=54

5+(3x+7)=54

isolate the variable by dividing each side by factors that dont contain the variable, and BAM you should come out with 14!!

Answer:

2/-3 is your correct answer

Answer:

36   1/2bh=   12*6/2

24   4+8+12

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

[tex]\sqrt{\frac{2x}{9} }={\frac{\sqrt{2x} }\sqrt{} {9} } =\frac{\sqrt{2x} }{3}=\frac{1}{3}\sqrt{2x}[/tex]

Answer:

Make all sides 3.0

Answer:3.0

Step-by-step explanation:

The sinusoidal function that is modeled in the graph presented in this question is the expression y = 5 + 3 · sin [π · (x+2)/4], where x and y are the independent and dependent variable, respectively.

In this question we must analyze periodic functions to determine the most appropriate model that best fit with the graph, the determination of the model will determine the inherent characteristics of the model. The graph seem to be a sinusoidal function.

Sinusoidal functions are bounded functions characterized by use of trigonometric expressions and the presence a lower and a upper bound, a period and phase. The entire formula is described below:

y = r + 0.5*(M-m) · sin [2π · (x-F)/T]     (1)

Where:

The period is the time in which a sinusoidal function completes a cycle and the phase is a horizontal translation applied to a canonical sinusoidal function.

If we know that r = 5, m = 2, M = 8, T = 8 and F = -2, then the sinusoidal function is:

y = 5 + 3 · sin [π · (x+2)/4]

The sinusoidal function that is modeled in the graph presented in this question is the expression y = 5 + 3 · sin [π · (x+2)/4], where x and y are the independent and dependent variable, respectively. [tex]\blacksquare[/tex]

To learn more on sinusoidal function, we kindly invite to check this verified question: https://brainly.com/question/12060967

Answer:

hello ace!

we can talk on this answer since that person wont leave the other one =-=

also im not sure sorryy

Step-by-step explanation:

Answer: 1/18

Step-by-step explanation:

the probability that you roll a 4 on a standard die is 1/6 because there is 6 sides then the probability of rolling a 1 or a 3 is 2/6 or one third. then multiply 1/3 by 1/6 and you get the final answer of 1/18 :)