Describe fully the transformation that:

a) Maps B onto A
b) Maps A onto B​

Therefore , the solution of the given problem of angles comes out to be m∠D is nearest degree, 60 degrees.

The wall on top and bottom divides the circular lines that constitute a skew's ends using Cartesian coordinates. Two rays may come together to produce a junction point. Another result of two entities interacting is an angle. They most closely resemble dihedral shapes. Two line beams can be arranged in different ways at their ends to form a two-dimensional curve.

Here,

We can use the fact that the sum of the angles in a triangle is 180 degrees to determine the size of angle D.

We can observe from the provided diagram that:

Due to the fact that ∠D and ∠E are complimentary angles, m∠D + m∠E = 90 degrees.

Due to the complimentary nature of ∠E and ∠F, m∠E + m∠F = 90 degrees.

Since ∠D and ∠F form a straight line with E, m∠D + m∠F = 60 degrees.

All three equations added together give us:

2m∠D + 2m∠E + 2m∠F = 240 degrees

2(m∠D + m∠E + m∠F) = 240 degrees

2(180 degrees) = 240 degrees

360 degrees = 240 degrees + 2m∠D

2m∠D = 120 degrees

m∠D = 60 degrees

m∠D is therefore, to the nearest degree, 60 degrees.

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Answer:

50.33 mi.

Step-by-step explanation:

GIVEN :-

Coordinates of :-

TO FIND :-

GENERAL FORMULAE TO BE USED IN THIS QUESTION :-

Lets say there are two points A & B on a cartesian plane whose coordinates are (x₁ , y₁) & (x₂ , y₂).

Distance between A & B = \(\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\)

SOLUTION :-

According to question ,

On Friday , you -

⇒ On Friday , total distance travelled = 12.04 + 8.94 + 7.21 = 28.19 mi.

On Saturday , you -

⇒ On Saturday , total distance travelled = 8.6 + 8.54 + 5 = 22.14 mi.

∴ Total distance travelled on Friday & Saturday = 28.19 + 22.14 = 50.33 mi.

The area of the square that has 3 cm of side is 9 cm^2

The formula and procedure to solve this geometry exercise is:

A = s²

Where:

Problem information:

Using the formula of the square area we get:

A = s²

A = (3 cm)²

A = 9 cm²

Is the measure of the space occupied by a body bounded by an environment called perimeter, the same is expressed in units of squared side. Example: ft2, m2

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Answer:

y = -4x - 1

Step-by-step explanation:

x - 4y = 24

-4y = -x + 24

y = \(\frac{1}{4}\)x - 6

m⊥ = -4

y = -4x + b

7 = -4 ( -2 ) + b

7 = 8 + b

b = -1

y = -4x - 1

Solving the equation 4x + 7 = 9 will give value of x = 1/2

To solve we will use the equation

4x + 7 = 9

By subtracting 7 from both side we get

4x + 7 -7 = 9 -7

4x = 2

By diving 4 from both sides we get

4x/4 = 2/4

x = 1/2

To check we put the value of x in the equation we get

4(1/2) + 7 = 9

2 + 7  = 9

9 = 9

Hence the value of x is satisfying the equation

Therefore, the value of x is 1/2

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The cost of s and 20 songs are $1.25s and $25 respectively.

Multiplication is mathematical arithmetic operation. It is also a process of adding same types of expression to some number of times.

Example - 2 × 3 means 2 is added three times or 3 is added 2 times.

Given that music services cost $6 per month to Nachelle.

And to download songs for offline listening, the service charges $1.25 per song.

If she wants to download s songs,

The cost of s songs = the cost of one song multiplied by s

The cost of s songs =$1.25 multiplied by s

The cost of s songs = $1.25s

Here s = 20 then

cost of 20 songs = $1.25 x 20

                           = $25

Therefore the cost of s and 20 songs are $1.25s and $25 respectively.

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Sorry if I'm too late but the answer is 23.3

Answer:

its C 23.3

Step-by-step explanation:

3.1415926535 8979323846 2643383279 5028841971 6939937510 5820974944 5923078164 0628620899 8628034825 3421170679 8214808651 3282306647 0938446095 5058223172 5359408128 4811174502 8410270193 8521105559 6446229489 5493038196 4428810975 6659334461 2847564823 3786783165 2712019091 4564856692 3460348610 4543266482 1339360726 0249141273 7245870066 0631558817 4881520920 9628292540 9171536436 7892590360 0113305305 4882046652 1384146951 9415116094 3305727036 5759591953 0921861173 8193261179 3105118548 0744623799 6274956735 1885752724 8912279381 8301194912 9833673362 4406566430 8602139494 6395224737 1907021798 6094370277 0539217176 2931767523 8467481846 7669405132 0005681271 4526356082 7785771342 7577896091 7363717872 1468440901 2249534301 4654958537 1050792279 6892589235 4201995611 2129021960 8640344181 5981362977 4771309960 5187072113 4999999837 2978049951 0597317328 1609631859 5024459455 3469083026 4252230825 3344685035 2619311881 7101000313 7838752886 5875332083 8142061717 7669147303 5982534904 2875546873 1159562863 8823537875 9375195778 1857780532 1712268066 1300192787 6611195909 2164201989

Answer:

3.1415926535 8979323846 2643383279 5028841971 6939937510 5820974944 5923078164 0628620899 8628034825 3421170679 8214808651 3282306647 0938446095 5058223172 5359408128 4811174502 8410270193 8521105559 6446229489 5493038196 4428810975 6659334461 2847564823 3786783165 2712019091 4564856692 3460348610 4543266482 1339360726 0249141273 7245870066 0631558817 4881520920 9628292540 9171536436 7892590360 0113305305 4882046652 1384146951 9415116094 3305727036 5759591953 0921861173 8193261179 3105118548 0744623799 6274956735 1885752724 8912279381 8301194912 9833673362 4406566430 8602139494 6395224737 1907021798 6094370277 0539217176 2931767523 8467481846 7669405132 0005681271 4526356082 7785771342 7577896091 7363717872 1468440901 2249534301 4654958537 1050792279 6892589235 4201995611 2129021960 8640344181 5981362977 4771309960 5187072113 4999999837 2978049951 0597317328 1609631859 5024459455 3469083026 4252230825 3344685035 2619311881 7101000313 7838752886 5875332083 8142061717 7669147303 5982534904 2875546873 1159562863 8823537875 9375195778 1857780532 1712268066 1300192787 6611195909 2164201989

Step-by-step explanation:

Answer:

For a day VFR flight in a Piper Archer, you would need a fuel reserve of approximately 5 gallons.

Step-by-step explanation:

The amount of fuel reserve that must be carried on a day VFR (Visual Flight Rules) flight, the FAA requires a minimum fuel reserve of 30 minutes at cruising speed for day VFR flights. To calculate the gallons needed for a Piper Archer, follow these steps:

1. Determine the fuel consumption rate of the Piper Archer at cruising speed, which is typically around 10 gallons per hour (GPH).
2. Divide the required fuel reserve minutes (30) by the minutes in an hour (60): 30 / 60 = 0.5 hours.
3. Multiply the fuel consumption rate (10 GPH) by the required fuel reserve time in hours (0.5 hours): 10 * 0.5 = 5 gallons.

Therefore, for a day VFR flight in a Piper Archer, you would need a fuel reserve of approximately 5 gallons.

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The inequality x - 4 ≥ 8 represents the sentence "  the sum of a number and -4 is at least 8" and the solution of the inequality is the value of variable x is x ≥ 12.

Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.

Let's assume that the number would be x

The sum of a number and -4 is at least 8

According to the given question, translate the phrase into an algebraic form :

x - 4 ≥ 8

Add 4 both sides of the above inequality,

x - 4 + 4 ≥ 8 + 4

x ≥ 12

Therefore, the inequality x - 4 ≥ 8 represents the sentence "  the sum of a number and -4 is at least 8" and the solution of the inequality is the value of variable x is x ≥ 12.

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The investor invested $2000 in the 6% fund and $900 in the 2% fund.

To solve this problem, we can use a system of equations. Let's call the amount invested in the 6% fund "x" and the amount invested in the 2% fund "y". We know that the total amount invested is $2900, so:

x + y = 2900

We also know that the total profit earned is $138. The profit earned from the 6% fund is 6% of x, or 0.06x. The profit earned from the 2% fund is 2% of y, or 0.02y. So:

0.06x + 0.02y = 138

Now we have two equations with two variables, which we can solve simultaneously. One way to do this is to solve for one variable in terms of the other in the first equation, then substitute that expression into the second equation and solve for the remaining variable. Let's solve for y in terms of x:

y = 2900 - x

Now we can substitute that expression into the second equation:

0.06x + 0.02(2900 - x) = 138

Simplifying and solving for x:

0.06x + 58 - 0.02x = 138
0.04x = 80
x = 2000

So the investor invested $2000 in the 6% fund. We can use the first equation to find y:

x + y = 2900
2000 + y = 2900
y = 900

Therefore, the investor invested $900 in the 2% fund. To check our work, we can verify that the total profit earned is $138:

0.06(2000) + 0.02(900) = 120 + 18 = 138

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Step-by-step explanation:

slope = ( y2-y1) / (x2-x1)

= (5-3) / (11-7)

= 1/2

y= mx+ b

m = slope

5 = 11/2 + b

5 - 5.5 = b

b = -0.5

the equation y = 1/2(x) - 0.5

The equation of line is x-2y =1

Slope-intercept form: The equation of line with slope m and making an intercept c on the y-axis, is y = mx + c.

Given coordinates are:

(7, 3) and (11, 5)

now, equation of line

(y- y1)= (y2-y1)/(x2-x1) *(x-x1)

y-3 =(5-3)/(11-7) *(x-7)

y-3= 2/4 * (x-7)

y-3= 1/2(x-7)

2y-6= x-7

x-2y =1

Hence, the equation of line is x-2y =1.

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(a) A nonzero vector orthogonal to the plane through the points P, Q, and R is (9, -17, 35). (b) The area of triangle PQR is \(\sqrt\)(811) / 2.

(a) To determine a nonzero vector orthogonal to the plane through the points P, Q, and R, we can first find two vectors in the plane and then take their cross product. Taking vectors PQ and PR, we have:

PQ = Q - P = (5, 1, -2) - (-4, 0, 0) = (9, 1, -2)

PR = R - P = (6, 4, 1) - (-4, 0, 0) = (10, 4, 1)

Taking the cross product of PQ and PR, we have:

n = PQ x PR = (9, 1, -2) x (10, 4, 1)

Evaluating the cross product gives n = (9, -17, 35). Therefore, (9, -17, 35) is a nonzero vector orthogonal to the plane through points P, Q, and R.

(b) To determine the area of triangle PQR, we can use the magnitude of the cross product of vectors PQ and PR divided by 2. The magnitude of the cross product is given by:

|n| = \(\sqrt\)((9)^2 + (-17)^2 + (35)^2)

Evaluating the magnitude gives |n| = \(\sqrt\)(811).

The area of triangle PQR is then:

Area = |n| / 2 = \(\sqrt\)(811) / 2.

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Answer:

you took shorter time to complete by 2minutes

Step-by-step explanation:

30 minutes till 8.00 pm

plus

52 minutes

so

30+52=82 minutes

my homeworks

20 minutes till 9.00 pm

plus 1 hour or 60 minutes till 10.00 pm

20+60=80 minutes

80<82

so I took shorter time to complete the homework

Answer:

x=5

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

9+11= 20

4x=20

20/4x= 5

Answer:

1. Write both ratios as fractions and reduce them completely. If they are the same fraction, the ratios form a proportion.

2. Write both ratios as fractions. Do the cross products by multiplying the denominator of each fraction by the numerator of the other fraction. If the cross products are equal, the ratios form a proportion.

Answer:

de que grado eres para ayudar

option A

To detrmine the correct graph, let's find the factors of the function given:

To get the factors equate the function to zero, that is y = 0

The graph with two x intercepts as 2 and -6 will be the correct quadratic function

Each unit on the graph is 4 units

From the options, option A has x intercepts as 2 and -6

Answer:

a

Step-by-step explanation:

because

Answer: A) the insane people populatio.

I think it’s this one ☝️

Step-by-step explanation:

Answer:

The answer is below

Step-by-step explanation:

a) Natalie basic salary is $300 per week. She is paid a commission of 30% of her total sales for the week. Therefore her total weekly salary per week is given by:

Total weekly salary = Basic salary + Commissions

If Natalie makes $225 in sales, her commission = 30% of $225 = 0.3 × $225 = $67.5

Total weekly salary = Basic salary + Commissions = $300 + $67.5

Total weekly salary = $367.5

b) If Natalie makes $x in sales, her commission = 30% of $x = 0.3 × $x = $0.3x

Total weekly salary = Basic salary + Commissions = $300 + $0.3x

Total weekly salary = $(300 + 0.3x)

Answer:

You would divide it into shapes that you already know, like squares, rectangles and triangles. Find the area of each shape and add them together.

Its pretty simple once you understand it

dont be afraid to ask me if you need some help.

Have a wonderfull day

The game of Odds or Evens described between Luis and Raul is not fair. One player, Luis, has a higher probability of winning both coins compared to the other player, Raul.

To determine if a game is fair, we need to analyze the probabilities of each outcome. In this game, there are four possible outcomes: both coins land on heads, both coins land on tails, Luis wins; one coin lands on heads and the other on tails, Raul wins.

Since each coin flip is independent, the probability of both coins landing on heads is 1/2 * 1/2 = 1/4, and the probability of both coins landing on tails is also 1/4. This means that the combined probability of Luis winning is 1/4 + 1/4 = 1/2.On the other hand, the probability of one coin landing on heads and the other on tails is 1/2 * 1/2 = 1/4. Therefore, the probability of Raul winning is 1/4.

As we can see, Luis has a higher probability of winning both coins (1/2) compared to Raul's probability of winning (1/4). This indicates that the game is not fair, as one player has a higher chance of winning compared to the other player.

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Answer:

Step-by-step explanation:

ΔABC ≅ ΔDEF

The length AB = 28 and the length of DE = 7. Since these are corresponding sides, we know that DEF= 1/4 (ΔABC)

So, since ΔABC = 160, we know that ΔDEF will be 1/4 of that, meaning that ΔDEF is 40.

ΔDEF = 40cm²

Answer:

10 cm2

Step-by-step explanation:

The ratio per side is 28/7 = 4

When two similar figures have a ratio of 4:1, the difference between their areas is:

\((4)^{2} :(1)^{2}\)

\(16:1\)

That is, the dimension of the area of the largest figure is 16 times larger than the smallest figure.

So for this case:

the area of the larger figure is

ΔABC = 160 sq.cm

Then the area of the minor figure is:

ΔDEF= 160/16 = 10 sq.cm

Hope this helps

Based on the information provided, the two numbers whose HCF is 101 are 1010 and 1313.

The HCF is the highest common factor or in other words, the highest number by which two numbers can be divided. Let's start by listing the four digits numbers that can be the HCF related to 101.

101 x 10 = 1010

101 x 11 = 1111

101 x 12 = 1212

101 x 13 = 1313

Now, from these numbers, there are two numbers whose difference is 303.

1313 - 1010 = 303

Based on this, the two numbers are 1010 and 1313

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Answer:

6 whole pieces.

Step-by-step explanation:

0.54/0.08 = 6.75

You can divide the 0.54m string into 6 whole pieces.

Answer:

I find it best to view these equation in the slope-intercept form.

-7x - 5y = -1

Let's rearrange the terms to isolate the y and put the equation in the y=mx+b form

5y = -1 + 7x

y = -1/5 + (7/1)x

or y = +(7/1) x + -1/5

Here m, the slope, = 7/1

A line parallel to this line will have the same slope or 7/1

A line perpendicular to this line will have a slope that is the negative inverse of this slope, in other words -1/7

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