Find the distance between the points (3, –8) and (0, –9).

Answer:

The area of the lawn is 68 [tex]m^2[/tex].

Step-by-step explanation:

Area of lawn = Area of garden - (Area of triangle + Area of trapezium)

Area of garden = length x width

                            = 14 x 10

                           = 140 [tex]m^2[/tex]

Area of triangle = [tex]\frac{1}{2}[/tex] x base x height

                         = [tex]\frac{1}{2}[/tex] x 3 x 8

                         = 12 [tex]m^2[/tex]

Area of trapezium = [tex]\frac{1}{2}[/tex] (a + b) h

                             = [tex]\frac{1}{2}[/tex](5 + 7) 10

                              = 60 [tex]m^2[/tex]

So that;

Area of lawn = 140 - (12 + 60)

                     = 140 - 72

                     = 68

The area of the lawn is 68 [tex]m^2[/tex].

Using the given information, Aina's net income is for the month is 35,834 PHP

From the question, we are to determine the net Aina's net income

Aina's net income is the value of her total income minus all other expenses

From the given information,

Aina's monthly salary is 35,000 PHP per month and also receives 3,500 PHP for a monthly allowance

∴ Aina's total income = 35,000 PHP + 3,500 PHP

Aina's total income = 38,500 PHP

Sum of her other expenses = 1,466 PHP + 300 PHP + 800 PHP + 100 PHP

Sum of her other expenses = 2,666 PHP

∴ Aina's net income = 38,500 PHP - 2,666 PHP

Aina's net income = 35,834 PHP

Hence, Aina's net income is for the month is 35,834 PHP.

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Work Shown:

tan(angle) = opposite/adjacent

tan(X) = ZY/XY

tan(X) = 32/24

tan(X) = (8*4)/(8*3)

tan(X) = 4/3

Answer:

Rs. 180

Step-by-step explanation:

This is a proportion problem.

We are told that 2 dolls cost Rs. 120

Thus;

Cost of 1 doll = 120/2 = Rs. 60 per doll

Then;

Cost of 3 dolls = Rs. 60 * 3 = Rs. 180

Answer:

should be 1305 yd^2

Step-by-step explanation:

to get the surface area of one of the 3 recanglular sides take 24 x 15 to get 360 then muliply by 3 to get 1080 since all the recanglular sides are the same then do 15 x 15 to get both of the triangle sides to get 225 since the equation is 1/2 B x H then add them together

Answer:

f^-1(x)=[tex]\sqrt[3]{x-3}[/tex]

Answer:

7840 ft^3

Step-by-step explanation:

give brainliest please!

(10*14*40) + (14*40*8)1/2

Answer:

78

Step-by-step explanation:

hint

Answer:

x=63/8

Step-by-step explanation:

9/8=x/7

or, 9*7=x*8

or, 63=8x

x=63/8

The translation is 8 units to the right and 5 units downwards, and the scale factor is k = 0.8

First, we have a translation that goes from F to F', to identify it, we need to find the centers of the two circles.

F = (-5, 4)

F'= (3, -1)

To get the translation we take the difference between the two centers:

F' - F =  (3, -1) - (-5, 4) = (8, -5)

So the translation moves 8 units to the right and 5 units downwards.

To get the dilation we need to find the quotient between the radius of F' and the radius of F.

This is:

k =  4/5 = 0.8

So the scale factor is 0.8

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Answer:

you are subtracting 2 so it would be like

-7,-9,-11,-13,-15,-17,-19

Answer:

x - beginning money

x - .20x = 1,600

.80x = 1.600

Original money = 2,000

Therefore, Sinead lost $400.00

Step-by-step explanation:

Answer:

you wold more likly get a red than a green

Step-by-step explanation:

Applying the trigonometric ratios and the triangle sum theorem, the missing lengths and angles are:

AB = 27.2 units

BC = 33.5 units

AC = 50.4 units.

m∠A = 38°

m∠ABC = 112°

The trigonometric ratios, SOHCAHTOA, are used to find the sides or angles of a right triangle.

Find BD using TOA:

tan ∅ = opp/adj

tan 30 = BD/29

BD = tan 30 × 29

BD = 16.7 units

Find AD using TOA:

tan ∅ = opp/adj

tan 52 = AD/16.7

AD = (tan 52)(16.7)

AD = 21.4 units

Find AB using SOH:

sin 52 = 21.4/AB

AB = 21.4/sin 52

AB = 27.2 units

Find BC using CAH:

cos 30 = 29/BC

BC = 29/cos 30

BC = 33.5 units

Find AC:

AC = AD + DC

AC = 21.4 + 29

AC = 50.4 units.

m∠A = 180 - 52 - 90 = 38° (triangle sum theorem)

m∠ABC = 180 - m∠A - m∠C (triangle sum theorem)

m∠ABC = 180 - 38 - 30

m∠ABC = 112°

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He should sell the car at a price of $15,300 because the profit is more at this price than the others.

The best selling price is defined as if the profit is more than the amount is known as the best selling price.

Your friend wants to sell his car (Toyota SUV).

Your friend did some online research on similar cars and has found the following prices: $13,500 , $12,900, $15,300 , $13,700, and $12,000.

He should sell the car at a price of $15,300 because the profit is more at this price than the others.

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Answer:

D.72

Step-by-step explanation:

first you have to divide 96 and 4 than it will equal 24 than you multiple by 3 and so 24×3=72

Answer:

The 8.39-kg bag

Step-by-step explanation:

19.99 divided by 7.98 = $2.51

20.38 divided by 8.39 = $2.43

2.51 > 2.43

So 8.39-kg bag is the better buy

Answer:

Step-by-step explanation:

To find the unit price, divide the price by the number of units. Here, the unit of interest is 1 kg.

__

Unit price of 7.98 kg bag:

  $19.99/(7.98 kg) = $2.51 /kg

__

Unit price of 8.39 kg bag:

  $20.38/(8.39 kg) = $2.43 /kg

__

The 8.39 kg bag has a lower cost per kilogram, so is considered the better buy.

Answer:

  5.83 miles

Step-by-step explanation:

Bill's net distance west of his starting point is -4+7 = 3 miles. His net distance north of his starting point is 5 miles. The straight-line distance will be the hypotenuse of a right triangle with legs 3 miles and 5 miles. That distance is given by the Pythagorean theorem:

  d² = (3 mi)² +(5 mi)² = 34 mi²

  d = √34 mi ≈ 5.83 mi

Bill is 5.83 miles on a direct line from his starting point.

_____

The attached calculator screenshot shows the sum of the travel distances. The angles are bearings measured clockwise from north. The angle of the sum indicates Bill is about 31° west of north relative to his starting point.

Answer:

Typical household fixed expenses are mortgage or car payments, rent payments, real estate taxes and insurance premiums.

Mortgages, taxes, and property insurance are housing expense.

An expense is a cost that businesses incur in running their operations. Expenses include wages, salaries, maintenance, rent, and depreciation.

Given that, What type of expenses are mortgages, taxes, and property insurance.

They come under housing expenses.

Total housing expense adds up all the relevant ongoing costs needed to maintain homeownership. This will include monthly bills, insurance costs, taxes, and homeowners association dues in addition to mortgage interest and principal.

Hence, Mortgages, taxes, and property insurance are a housing expense.

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The sign of a times -b/b when a = 0 and b < 0 is neutral neither negative nor positive .

An integer is a whole number (not a fractional number) that can be positive, negative, or zero

As b<0 which means b would be negative.

So, -b/b gives a negative value.

Because if any of the either numerator or denominator is negative then the resulting value also be negative.

and if zero '0' is multiplied and number whether it is positive or negative the resulting value will be zero.

So,  a* (-b/b)= 0* negative= negative zero, but zero is neither negative nor positive .

hence, the sign of a times -b/b is neutral neither negative nor positive .

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Answer:

last option, {x|x≠13}

Step-by-step explanation:

(f of g)(x) means f(x) x g(x):

(x + 7) x (1 / x - 13) = (x + 7) / (x - 13)

domain is all possible x values which is the denominator, x - 13

x - 13 = 0

Interval notation: (−∞,13)∪(13,∞) this means x does not equal 13

Answer:

432326

Step-by-step explanation:

i just times them together

Answer:

that should be 432,326

Step-by-step explanation:

I do not rly know how to the calculator on this app properly yet but I will try my best to explain it

×6973

62

3×2=6,2×7=14 put 4 under the 6 and take 1 to the 9,2×9 is 18,+1 that we added to the 9=19, put 9 under the 9 and take 1 to the 6 above, and 2×6=12,+1=13

and you get this first

13946

and you also multiply your 6 by all the numbers above giving you

41838

so you arrange it like this and get

13946

41838

and you add it together giving you

432,326.

and the third picture should be your answer.

Answer:

Your hair grows 2 to 4 inches in 4 months, 4 to 6 inches in 9 months, and 6 to 8 inches in a year. Though this is how the usual growth cycle works, it also depends on seasonal changes, hair and scalp health, medications, hormonal changes, and diet among other factors.

Step-by-step explanation:

1.a. Typical number chosen = the median value = 6

b. 27

2. a. 21

b. b. How the scores vary = Range of the scores = 5

c. Mode = 8

d. Median = 8

Range = Highest value - least value

Mode = most occurred data point

Median = center value of the data distribution (typical value of a dot plot).

1. a. Typical number chosen = the median value (center value) on the dot plot = 6

b. The number enrolled = number of student represented on the dot plot + 2 students absent = 25 + 2 = 27.

2. Data given: 5, 5, 6, 6, 6, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 9, 9, 9, 10, 10

a. There are 21 data points given, therefore, the number of students in the afternoon math class is: 21.

b. How the scores vary = Range of the scores = 10 - 5 = 5

c. Mode of the data = 8

d. Median score = 8

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Answer: Answer:

The probability that a given student is a graduate, given that he or she is on financial aid, is 30.8%.

Step-by-step explanation:

To determine what is the probability that a given student is a graduate, given that he or she is on financial aid, the following calculation must be performed:

6101 = 100

1879 = X

1879 x 100/6101 = X

187,900 / 6101 = X

30,798 = X

Therefore, the probability that a given student is a graduate, given that he or she is on financial aid, is 30.8%.

Step-by-step explanation:

Answer:

28m²

Step-by-step explanation:

I don't really know how to explain so I'm just going to say its 28m²

The area of the part with cement will be 28 square meters.

The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the rectangle in a two-dimensional plane is called the area of the rectangle.

Given that the image has the backyard area in which some part is cemented and the remaining part is grass.

The area of the cemented part will be calculated as:-

Cemented area = Total area - Area of grass

Cemented area = ( 6 x 6 ) - ( 4 x 2 )

Cemented area = 36 - 8

Cemented area = 28 square meters

Therefore, the part with cement in the backyard will have an area of 28 square meters.

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Using the Central Limit Theorem, it is found that the statement is true, as for sample sizes of 30 or more, the sampling distribution of sample means is normal.

It states that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the sampling distribution is also approximately normal, as long as n is at least 30.

Hence, the statement is true, as for sample sizes of 30 or more, the sampling distribution of sample means is normal, no matter the underlying distribution of the variable.

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If they meet in 4 hours. Then the speed of each bus will be 124 km per hour and 113 km per hour.

The distance covered by the particle or the body in an hour is called speed. It is a scalar quantity. It is the ratio of distance to time.

We know that the speed formula

Speed = Distance/Time

Two buses leave towns 948 kilometers apart at the same time and travel toward each other. One bus travels 11km/h slower than the other.

If they meet in 4 hours.

Then the speed of each bus will be

Let x be the speed of the one bus.

Then the speed of second bus will be

Speed = x - 11

Then the relative speed will be

Speed = 2x - 11

Then we have

2x - 11 = 948 / 4

2x - 11 = 237

    2x = 248

      x = 124

Then the speed of each bus will be 124 km per hour and 113 km per hour.

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The probability that the next chew Penelope removes from the bag will be apple or lime as a percent is 60.6%.

Here, Number of apple and lime is 9 + 11 =20

Total bag contains = 13 + 9 + 11 = 33

Probability = Number of apple or line / Total

                   = 20 / 33

                   = 60.6 %

Thus, The probability that the next chew Penelope removes from the bag will be apple or lime as a percent is 60.6%.

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