What reflection of the parallelogram ABCD results in the image​ A'B'C'D'? Use pencil and paper. Is the image unique using only one​ reflection? Is the image unique using one reflection and one​ translation?

Answer:

3.35.

Step-by-step explanation:

very simple!

Answer:

A.

Step-by-step explanation:

42,000 units

Answer:

\(\huge\boxed{4x+8y}\)

Step-by-step explanation:

In order to find an expression equivalent to \(4(x+2y)\), we want to simplify the equation down.

To do this, we can see that we can apply the distributive property on this equation. Basically, we multiply every term in the parentheses by 4.

\(4 \cdot x = 4x\\\\4 \cdot 2y = 8y\\\\4x+8y\)

Hope this helped!

Answer:

x>1

Step-by-step explanation:

\(\frac{1}{2}\) × (-2x - 10) > 3(4-6x)

-2x - 10 > 6(4-6x)

-2x - 10 > 24 - 36x

-2x + 36x > 24 + 10

34x > 34

x>1

Answer:

10 > -6x

Step-by-step explanation:

1/2(-2 x -10) > 3(4 - 6)

PEMDAS

do the work in the parentheses:

1/2(20) > 3(-2)

multiply (you multiply when a number is next to parentheses fyi):

1/2 x 20 = 10, 3 x -2 = -6

answer: 10 > -6x

SSS: This stands for "side-side-side," and it denotes that each of a triangle's three sides is congruent with its matching side of another triangle.

A triangle is a polygon because it has all four or so additional parts. It is simple to form in in easy form. simple form.

SSS: This stands for "side-side-side," and it denotes that each of a triangle's three sides is congruent with its matching side of another triangle.

The acronym ASA stands for "angle-side-angle," which denotes that two angles and the side that lies between them in one triangle are congruent with the respective angles and side in another triangle.

The acronym SAS, which stands for "side-angle-side," denotes that two sides and the angle that separates them in one triangle are identical to the respective sides and angles in another triangle.

AAS: This stands for "angle-angle-side," which denotes that two angles and a side that is not included in a triangle are congruent with the equivalent angles and side that are not included in the first triangle.

SSA: Standing for "side-side-angle," this term denotes the congruence of two sides and a non-included angle in one triangle with the equivalent sides and angle in another triangle, but the angle is not between the two given sides.

The acronym AAA, which stands for "angle-angle-angle," denotes that all three angles in one triangle coincide with their respective angles in another.

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Answer:

3,276

Step-by-step explanation:

10% of 3,640 is 364.

So, 3,640 - 364 = 3,276

90% of 3,640 is 3,276.

Answer:

x=5,1

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

If we multiply both numerator and denominator of the first ratio by 3, we will get the second ratio, thus, these are equivalent.

For any ratio:

a/b

If we multiply both numerator and denominator by the same real number, we will get an equivalent ratio.

In this case, we can start with the smaller of the two ratios:

1/6.

Now we can multiply both numerator and denominator by 3, then we will get:

(3*1)/(3*6) = 3/18

So yes, the ratios 1/6 and 3/18 are equivalent.

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Using trigonometry, the angle of elevation of the top of the building from A is 36.87 degrees

The angle of elevation of the building from A, we can apply the concept of trigonometry;

tan(θ) = opposite/adjacent

tan(θ) = height/180m

Since we're given that the angle of the top of the building is 45 degrees when the man is 180m away from point A, we can set up the equation:

tan(45°) = height/180m

The tangent of 45 degrees is 1, so the equation becomes:

1 = height/180m

Solving for the height:

height = 180m

Using the tangent of the angle;

tan(θ) = height/distance

tan(θ) = 180m/240m

Simplifying:

tan(θ) = 0.75

θ = tan⁻¹(0.75)

θ = 36.87 degrees

Therefore, the angle of elevation of the top of the building from point A is approximately 36.87 degrees.

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Answer:

20 gallons per mile

The function y = |x + 5| - 4 has a horizontal translation of 5 units to the left along with  vertical translation of 4 units downward.

The parent function y = |x| represents the absolute value of x. To identify the horizontal and vertical translations in the function y = |x + 5| - 4, we can compare it to the parent function.

The term "x + 5" in y = |x + 5| represents a horizontal translation. By subtracting 5 from x, we are shifting the graph 5 units to the left.

The term "-4" in y = |x + 5| - 4 represents a vertical translation. By subtracting 4 from y, we are shifting the graph 4 units downward.

To summarize, the function y = |x + 5| - 4 has a horizontal translation of 5 units to the left and a vertical translation of 4 units downward compared to the parent function y = |x|.

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A) A reasonable domain to plot the growth function is; d = 9.02

B) The y-intercept of the function is; 9

C) The average rate of change of the function f(d) from d = 3 to d = 9 is; 0.4477

We are given the equation that shows the radius of the algae, f(d), in mm, after d days as; f(d) = 9(1.04)^(d)

A) We are told that the radius is approximately 12.81 mm. Thus;

9(1.04)^(d) = 12.81

(1.04)^(d) = 12.81/9

(1.04)^(d) = 1.4233

d * log 1.04 = log 1.4233

d = 0.1533/0.017

d = 9.02

B) The y-intercept is obtained when the domain is zero. Thus;

f(0) = 9(1.04)^(0)

f(0) = 9

C) Average rate of change is given by the formula;

f'(x) = [f(b) - f(a)]/(b - a)

from d = 3 to d = 9. Thus;

f'(x) = (f(9) - f(3))/(9 - 3)

f'(x) = (9(1.04)^(9) - 9(1.04)^(3))/6

f'(x) = 0.4477

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The solution to the equation 4x + 17 = 23 is x = 3/2.

It should be noted that to solve this equation, we need to isolate the variable x on one side of the equation.

First, we can subtract 17 from both sides of the equation:

4x + 17 - 17 = 23 - 17

Simplifying the left side of the equation:

4x = 6

Next, we can divide both sides of the equation by 4:

4x/4 = 6/4

Simplifying:

x = 3/2

Therefore, the solution to the equation 4x + 17 = 23 is x = 3/2.

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Answer: I think C

Step-by-step explanation:

The total amount of sales is approximately Rs. 870000.

Let's break down the problem step by step to find the total amount of sales.

Let's denote the total annual sales as "S" in rupees.

According to the given information:

The agent receives a commission of 10% on the total annual sales.

The agent also receives a bonus of 2% on the excess of sales over Rs. 20000.

The total amount of commission and bonus is Rs. 104000.

To calculate the commission and bonus, we can set up the following equation:

Commission + Bonus = Rs. 104000

The commission can be calculated as 10% of the total sales:

Commission = 0.10S

The bonus is applicable only on the excess of sales over Rs. 20000. So, if the sales exceed Rs. 20000, the bonus amount can be calculated as 2% of (Total Sales - Rs. 20000):

Bonus = 0.02(S - 20000)

Substituting the values of commission and bonus in the equation:

0.10S + 0.02(S - 20000) = 104000

Simplifying the equation:

0.10S + 0.02S - 400 = 104000

0.12S = 104400

Dividing both sides of the equation by 0.12:

S = 104400 / 0.12

S ≈ 870000

Therefore, the total amount of sales is approximately Rs. 870000.

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Question

a commission of 10% is given to an agent on the total annual sales with the addittion of bonus 2% on the excess of sales over rs. 20000 if the total amount of commission and bonus is rs.104000 find the total amount sales

The value of x, obtained using the condition of proportional ratio of the lengths of the sides of similar triangles, is x = 11

Similar triangles are triangles that have the same interior angles, such that the three interior angles of one triangle are congruent to the three interior angles of the other, similar triangles, but the lengths of the sides of the triangles may vary.

The triangles ΔQRS and ΔTUV are similar. Based on the location of the obtuse angle ∠R and ∠T, and the longest sides, RS and UV, we get;

\(\frac{RS}{UV} = \frac{RQ}{UT}\)

Therefore, we get;

\(\frac{54}{36} = \frac{24}{x+5}\)

54 × (x + 5) = 24 × 36

54·x + 54 × 5 = 24 × 36

54·x = 24 × 36 - 54 × 5 = 594

x = 594 ÷ 54 = 11

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See the attachment for better understanding.

Given : Length of string (AC) = 300ft

To Find : Height of the kite from ground (AB)

\(:\implies\sf\:sin60^{\circ}=\dfrac{AB}{AC}\)

\(:\implies\sf\:\dfrac{\sqrt{3}}{2}=\dfrac{H}{300}\)

\(:\implies\sf\:H=\dfrac{300\sqrt{3}}{2}\)

\(:\implies\sf\:H=150\sqrt{3}\)

\(:\implies\:\boxed{\bf{\red{H\approx 260\:feet}}}\)

Hope it helps !

The kite is 260 ft. above ground.

"It is a triangle whose one of the angle is 90"

For right triangle the sine of the angle 'x' is,

sin(x) = opposite side of angle x / hypotenuse

For given example,

Consider the diagram given below.

KL represents the string length.

So, KL = 300 ft.

A string makes an angle of 60° with the ground.

This means, ∠KLM = 60°

Let, 'h' represents the height of of the kite above the ground.

For a right triangle KLM,

⇒ sin(KLM) = KM/KL

⇒ sin(60°) = h/300

⇒ h = sin(60°) × 300

⇒ h = 259.8 ft.

⇒ h ≈ 260 ft.

Therefore, the kite is 260 ft. above ground.

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Answer:

1: x = 10

2: x = 2

3: x = 5

4: x = -5

Step-by-step explanation:

Answer:

0,1

2,2

4,3

6,4

Step-by-step explanation:

Some Examples

4 = 1/2 (6) + 1

4 = 3 + 1

4=4

----------

2 = 1/2 (2) + 1

2 = 1 + 1

2 = 2

h

0

2

4

6

...................

The balance in your account after 5 years, given the annual simple interest rate and the amount deposited, is $ 1, 612. 50

To find the balance on the account after 5 years, you first need to find the simple interest on the account every year ;

= Amount deposited x Simple interest rate

= 1, 500 x 1. 5 %

= $ 22. 50

The interest over 5 years is :

= 22. 50 x 5

= $ 112. 50

The balance is therefore:

= 1, 500 + 112. 50

= $ 1, 612. 50

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Full question is:

A savings account pays an annual simple interest rate of 1.5%. What would be the balance in your account after 5 years, if you deposited $ 1, 500?

The probability is 0.96 that a randomly selected camper does not like to have a cookout, based on the given information and the complement rule of probability.

To determine the probability that a randomly selected camper does not like to have a cookout, we need to find the complement of the event C (the event that the camper likes to have a cookout).

Looking at the Venn diagram, we see that the probability of event C is 0.04 (represented by the intersection of circles C and A). Therefore, the probability of the complement of event C (not liking to have a cookout) is equal to 1 minus the probability of event C.

1 - 0.04 = 0.96

Hence, the probability that a randomly selected camper does not like to have a cookout is 0.96.

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The range is the resulting set of values { 2 , -13 , -18 }

What does domain in math mean?

substitute each value from the domain into the equation in turn.

f(x) = -5x+2

when x = 0 ⇒  - 5 × 0 + 2  = 2

when x = 3  ⇒ -5 × 3 + 2  = -13

when x = 4  ⇒ -5 × 4 + 2 = -18

The range is the resulting set of values { 2 , -13 , -18 }

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The time it will take ricardo to walk 12km is 12 hours

If Ricardo walks 2 km  in 2 hours, the speed of Ricardo is expressed as:

Speed = Distance/Time

Speed = 2km/2hr

Distance = 1km/hr

To find the time it will take to walk 12km, we will use the same formula:

Time = Distance/Speed

Time = 12km/1km/hr

Time = 12hours

Hence the time it will take ricardo to walk 12km is 12 hours

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Answer:

4.50

Step-by-step explanation:

\( \sin(40) \times 7 = 4.499513268\)

round it up

\( = 4.50\)

Answer:

yes,no, no, yes

Step-by-step explanation:

The coefficient of variation (CV) is a measure of relative variability and is calculated by dividing the standard deviation by the mean, and then multiplying by 100 to express it as a percentage.

In this case, the mean weight is 340 grams, and the standard deviation is 5.2 grams.

CV = (Standard Deviation / Mean) * 100

CV = (5.2 / 340) * 100

CV ≈ 1.53%

Therefore, the correct answer is option B: 1.53%.

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