I need help with this

Answer:

To determine the scale factor used to create the image, we need to compare the corresponding side lengths of the original triangle ABC and the dilated triangle A'B'C'.

Let's take the side AB of triangle ABC and its corresponding side A'B' of triangle A'B'C'. The length of AB is 18-9=9 units, while the length of A'B' is 6-3=3 units. Therefore, the scale factor for the dilation from triangle ABC to triangle A'B'C' is:

scale factor = length of A'B' / length of AB = 3/9 = 1/3

So the answer is: the scale factor used to create the image is one third.

Step-by-step explanation:

The scale factor used to create the image triangle A'B'C' is 1/4.

To determine the scale factor used to create the image, we can compare the corresponding side lengths of the original triangle ABC and the resulting triangle A'B'C'.

Let's calculate the length of a side of triangle ABC and the corresponding side of triangle A'B'C':

Length of side AB in triangle ABC:

AB = √(12 - 4)² + (4 - 4)²

= 8

Length of side A'B' in triangle A'B'C':

A'B' = √(3 - 1)² + (1 - 1)²

=2

To find the scale factor, we can divide the length of the corresponding side in the image triangle (A'B'C') by the length of the corresponding side in the original triangle (ABC):

Scale factor = A'B' / AB

= 2 / 8

= 1/4

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The area of the new shape formed by the two rectangles is calculated to be equal to 71 square centimeters.

The new shape will have a square region of 3 cm by 3 cm covered from one of the rectangles which will be under, so the area of the new shape is calculated as follows:

area of one identical rectangle = 8 cm × 5 cm

area of one identical rectangle = 40 cm²

area of the square region under = 3 cm × 3 cm

area of the square region under = 9 cm²

Area of the new shape = 40 cm² + (40 cm² - 9 cm²)

Area of the new shape = 40 cm² + 31 cm²

Area of the new shape = 71 cm²

Therefore, the area of the new shape formed by the two rectangles is calculated to be equal to 71 square centimeters.

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Answer:

15 5/8 - 15 4/5

= 15 25/40 - 15 32/40 (15-15 = 0)

= 25/40 - 32/40

= -7/40

Brainliest, please:)

The correct option about the two data set's distribution is B) The distributions are somewhat similar.

Given that,

For data set 1,

Mean = 54 and MAD = 4

For data set 2,

Mean = 60 and MAD = 2

Means to MAD ratio = (60 - 54) / (2 - 4) = 6 / -2 = -3

So means to MAD ratio is -3, not 3.

Now, it is clear that the distributions are not fully similar.

But it appears to be somewhat similar since Mean absolute deviation is somewhat similar, which is close.

Hence the correct option is B.

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The degree solutions of the equation are 51.82 degrees and 128.17 degrees

From the question, we have the following parameters that can be used in our computation:

cos² (x) + cos (x) − 1 = 0

Let y = cos(x)

So, we have

y² + y - 1 = 0

When solved graphically, we have

y = ±0.618

This means that

cos(x) = ±0.618

Take the arccos of both sides

x = cos-1(±0.618)

Evaluate

x = 51.82 degrees and 128.17 degrees

Hence, the angles are 51.82 degrees and 128.17 degrees

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Step-by-step explanation:

y = a(x-3)(x+1)         sub in the given point to calculate 'a'

-10 = a( 1-3)(1+1)

-10 = -4a

a = 2.5

then    y = 2.5 ( x-3)(x+1)   = 2.5 x^2 -5x -7.5

Answer:

the answer is B) 24.

Step-by-step explanation:

To find the lateral surface area of the triangular prism, we need to find the perimeter of the base and then multiply it by the height of the prism.

Looking at the net, we can see that the base is a triangle with sides of length 3 cm, 4 cm, and 5 cm. So the perimeter of the base is:

3 cm + 4 cm + 5 cm = 12 cm

The height of the prism is given as 2 cm. Therefore, the lateral surface area is:

12 cm x 2 cm = 24 cm²

So the answer is B) 24.

IF THIS HELPED, CAN YOU PLEASE GIVE 5⭐? thank you

Answer: (READ IT ALL PLS)

56.8

Convert  56.8

☆*: .｡. ``.｡.:*☆

5680

Step-by-step explanation:

I'm not really sure, Because I don't get the

way you explained it. But I hope it helps.

: )

-2 to -4 = multiply by 2

-4 to -12 = multiply by 3

-12 to -48 = multiply by 4

-48 to -240 = multiply by 5

Our next three terms will require us to multiply by 6, then 7, then 8.

-240 x 6 = -1440

-1440 x 7 = -10080

-10080 x 8 = -80640

Answer: C

Hope this helps!

Answer:

C

Step-by-step explanation:

multiply by 2     then by  3     then by  4   then by 5

   then by   6     then by  7   then by  8

Answer:

The ratio 56 to 35 = 8 to 5 = 8/5

a) There are 720 different ways to arrange all six tables in a row. b) There are also 15 other methods to select four of the six tables.

A combination is a technique for calculating the number of alternative arrangements in a set of objects where the order of the selection is irrelevant.

Given this,

Mrs. Smith wants to arrange six activity tables side by side in her classroom.

After aligning all six tables in a straight line, we can use the factorial function to compute the product of all positive integers up to a specified value. We could write:

6! = 6 x 5 x 4 x 3 x 2 x 1 = 720

As a result, there are 720 different ways to arrange all six tables in a row.

And, to select four of the six tables, we can use the combination function, which computes the number of ways to select k things from n different items, regardless of their order. We could write:

⁶C₄ = 6! / (4! x 2!)

= (6 x 5 x 4 x 3 × 2 × 1) / [(4 x 3 x 2 x 1) × (2 × 1)]

= (6 x 5 x 4 x 3) / (4 x 3 x 2 x 1)

= 15

As a result, there are 15 different methods to select four of the six tables.

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Answer:

1:2

2:1

3:3

Explanation:

1 on the left is with 2 on the right (1:2) because base and height are inversed, so the same explanation is for 2:1.

3:3 because the hypotenuse (the base) is calculated with the height of the right angles.

Hope I helped and that I get brainliest ;)

The point on the number line that has a value that is the opposite of 15 must be -15

From the question, we have the following parameters that can be used in our computation:

Point = 15

The opposite of 15 is

Opposite = -15

This means that the point must have a value of -15

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39 over 80 will be the probability of getting desired outcomes.

Finding the total number of rolls that produced an odd number and dividing that by the total number of rolls will yield the experimental probability that the number rolled was odd.

80 rolls are listed as the total. We sum the frequency of the odd numbers to determine the total number of rolls that produced an odd number:

Total frequency of odd numbers = frequency of 1 + frequency of 3 + frequency of 5

= 15 + 14 + 10

= 39

the following is the experimental likelihood that the number rolled was odd:

The frequency of odd numbers divided by the total number of rolls gives the probability of rolling an odd number.

= 39 / 80

Therefore, the probability will be 39 over 80.

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a) The population is modeled by:

[tex]y = 13,500*(1.04)^t[/tex]

b) In the year 2008, the population is  18,476

The general population equation is an exponential equation of the form:

[tex]y = A*(1 + r)^{t}[/tex]

Where A is the initial population, r is the rate of growth, and t is the variable, time in years.

Here we know that the initial population is 13500, the rate is 4% (or 0.04 in decimal form).

Then the equation is:

[tex]y = 13,500*(1.04)^t[/tex]

b) 2008 is 8 years after 2000, so we need to evaluate in t = 8.

[tex]y = 13,500*(1.04)^8 = 18,475.68[/tex]

we can round that to the next whole number, which is 18,476

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Answer:

The GCF is 12. ^^

Step-by-step explanation:

Answer:

12(1+5)

Step-by-step explanation:

The gcf of 12 and 60 is 12. This is because both are divisible bt 12. 12/12=1 and 60/12 is 5. Since, they're both divisible by 12, take out the 12, and multiply it by it's factors. Since 12x1= 12 and 12x5=60, it would be 12(1+5)

The sum of the measures of the interior angles of the pentagon is given as follows:

540º.

Hence the angle measures are given as follows:

The sum of the interior angle measures of a polygon with n sides is given by the equation presented as follows:

S(n) = 180 x (n - 2).

A pentagon has five sides, that is, n = 5, hence the sum is given as follows:

S(5) = 180 x (5 - 2)

S(5) = 540º.

Then the value of x is obtained as follows:

x + 40 + 80 + x + 50 + x + 5 + 125 = 540

3x + 300 = 540

3x = 240

x = 80º.

Then the angle measures are given as follows:

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paint 1 house in = 6 days

paint ? house in = 222 days

= 222 ÷ 6 = 37 houses

Answer: A painter can paint 37 houses in 222 days

Answer:

The midpoint of segment AB is: M = ((-3 + 7)/2, (3 + (-7))/2) = (2, -2)

The slope of segment AB is: m = (y2 - y1)/(x2 - x1) = (-7 - 3)/(7 - (-3)) = -1

The slope of a line perpendicular to AB is the negative reciprocal of m: m_perp = -1/m = 1

The equation of the line passing through M with slope m_perp is: y - (-2) = 1(x - 2)

Simplifying, we get: y = x - 4

Therefore, an arbitrary point P(x, y) is on the perpendicular bisector of segment AB if and only if its coordinates satisfy the equation: y = x - 4

Answer:

y = x - 4

Step-by-step explanation:

To find the perpendicular bisector of the line segment AB, we first need to find the midpoint of AB. The midpoint M can be found using the midpoint formula:

M = ((x1 + x2)/2, (y1 + y2)/2)

where (x1, y1) = A and (x2, y2) = B

M = ((-3 + 7)/2, (3 - 7)/2) = (2, -2)

The slope of AB can be found using the slope formula:

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

m = (-7 - 3)/(7 - (-3)) = -10/10 = -1

The slope of the perpendicular bisector of AB is the negative reciprocal of the slope of AB. So, the slope of the perpendicular bisector is:

m_perp = 1/m = -1/-1 = 1

Now we have the midpoint M and the slope of the perpendicular bisector. We can use the point-slope form of a line to find the equation of the perpendicular bisector.

y - y1 = m(x - x1)

where m = 1 and (x1, y1) = (2, -2)

y + 2 = 1(x - 2)

y = x - 4

Therefore, the formula that expresses the fact that an arbitrary point P(x, y) is on the perpendicular bisector of segment AB with endpoints A(-3, 3) and B(7, -7) is:

y = x - 4

The maximum salary Larry can offer a new employee per annum is $250,000.

The maximum salary conferrable on a new employee is based on projections, worked out as follows:

The gross revenue to be generated = $8 million

Annual profit margin = 15% or $1.2 million ($8 million x 15%)

Current projected expenses for the year = $6.3 million

Actual cost of an employee = $0.5 million ($8 - 1.2 - 6.3)

Maximum salary = $250,000 ($0.5 million x 50%).

Thus, based on current projections of a gross revenue of 8 million USD with a 15% annual profit margin and projected expenses of 6.3 million, the maximum salary that Larry can offer a new employee is $250,000.

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The total selling price, as per the percent rule, is $9,000.

You must first determine the selling price of each toy in order to determine the overall selling price.

As per the percent rule, the cost price plus the markup equals the selling price.

The cost price of each toy is $24, so the markup is 25% of $24, which is $6.

Therefore, the selling price of each toy is $24 + $6 = $30.

To find the total selling price, you need to multiply the selling price of each toy by the number of toys sold.

The store bought 300 toys, so the total selling price is 300 x $30 = $9,000.

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The expression   -2³a⁴b⁻⁵/ 24a⁷b³ × b¹⁰/a⁻²b⁻⁴ with no negative exponents is -a⁵b⁶/3

The given expression is -2³a⁴b⁻⁵/ 24a⁷b³ × b¹⁰/a⁻²b⁻⁴

a and b are the variable in the expression

We have to find the expression without negative exponents

[tex]\frac{a^m}{a^n}=a^m^-^n[/tex]

-8a⁴b⁻⁵/ 24a⁷b³ × b¹⁰/a⁻²b⁻⁴

-a³/3b⁸  × a²b¹⁴

-a⁵b⁶/3

Hence, the expression with no negative exponents is -a⁵b⁶/3

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The vector that satisfies the equation v = 2u - 3w, where u = (5, -4) and w = (4, -2), is v = (-2, -2).

A vector is a mathematical quantity that represents a magnitude (length) and direction in space, usually represented as an ordered set of numbers or coordinates, used to describe physical quantities and geometric objects.

An equation is a mathematical statement that indicates the equality of two expressions or quantities, often containing variables, used to describe relationships and solve problems in various fields of mathematics and science.

According to the given information:

To find the vector that satisfies the given equation:

v = 2u - 3w

we need to first calculate the vectors u and w using the given points:

u = (5 - 0, 1 - 5) = (5, -4)

w = (4 - 0, 3 - 5) = (4, -2)

Substituting these values into the equation:

v = 2u - 3w

v = 2(5, -4) - 3(4, -2)

v = (10, -8) - (12, -6)

v = (-2, -2)

Therefore, the vector that satisfies the given equation is (-2, -2).

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The volume of the oblique rectangular prism  is 629.1 unit² .

The length of the oblique rectangular prism = 6 unit

The width of the oblique rectangular prism = 9 unit

Using trigonometry the height will be

tan θ = perpendicular / base

Perpendicular = h

Base = 9

h/9 = tan (59)

h = 1.66 (9)

h = 11.6 unit

The height of the oblique rectangular prism = 11.6 unit  

The volume of the oblique rectangular prism = l × b ×h

The volume of the oblique rectangular prism = 6 × 9 ×11.6

The volume of the oblique rectangular prism = 629.1 unit²

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The decimal time 0.8 seconds can be said as: A. Zero point eight seconds

In Algebra, decimals are one of the types of numbers, which has a whole number and the fractional part separated by a decimal point. The dot present between the whole number and fractions part is called the decimal point. For example, 34.5 is a decimal number.

A decimal number is normally read by saying the whole part of it as a whole number and by individually reading out every number after the decimal point. For example, 28.79 would be read as twenty-eight point seventy nine.

Thus, the decimal 0.8 seconds can be pronounced as:

Zero point eight seconds

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Answer:

take a photo of the question so I can answer it please

The solution to the system of equations shown above is: A. More than 1 solution.

In order to graph the solution to the given system of equations on a coordinate plane, we would use an online graphing calculator to plot the given system of equations and then take note of the point of intersection;

3y - 3x = -9   ......equation 1.

4y - 4x=-12 ......equation 2.

Based on the graph shown in the image attached above, we can logically deduce that the solution to this system of equations is the point of intersection of the lines on the graph representing each of them, which is given by multiple ordered pairs and as such, it has more than one solution or infinitely many solutions because the lines coincide.

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Answer:

Step-by-step explanation:

m=5/4

Answer: y = -3x + 5

Step-by-step explanation:

We are given that the line passes through the point (1,2) and has a slope of -3. To find the y-intercept, we can use the point-slope form of a line:

y - y1 = m(x - x1)

where (x1, y1) is the point the line passes through.

Substituting the values we have:

y - 2 = -3(x - 1)

Expanding the brackets and rearranging:

y - 2 = -3x + 3

y = -3x + 5

Therefore, the equation of the line is y = -3x + 5, in slope-intercept form.

When shape P is enlarged by the scale factor and the centre, the new coordinates would be (2, 6), (6, 6), (0, 8), and (4, 8).

The current coordinates are:

( 1 , 3 ) ( 3, 3 ) ( 0, 4 ) and ( 2, 4 )

The new coordinates, with an expansion of 2 would be:

Point 1:

New coordinates: (1 x 2, 3 x 2) = (2, 6)

Point 2:

New coordinates: (3 x 2, 3 x 2) = ( 6, 6 )

Point 3:

New coordinates: ( 0 x 2, 4 x 2) = ( 0, 8 )

Point 4:

New coordinates: (2 x 2, 4 x 2) = ( 4, 8 )

The enlarged figure would have coordinates at  (2, 6), (6, 6), (0, 8), and (4, 8).

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