Rotation 90° counterclockwise around the
origin of the point (-8, 3)
(8,3)
(3,8)
(-8,-3)
(-3,-8)

The area of the doghouse in square feet is calculated as 9 (13) ft2.

The formula to find the area of the dog house is 9(1/3) ft2

Area of the dog house = Length of the dog house width of the dog house

Area = (72 ft )  (83 ft )

Area = 7.82.3 ft*ft

Area = (566) ft2

Hence, the area becomes Area = 9 (13) ft2

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Answer:

40, 28

Step-by-step explanation:

Let the numbers be x and y. The sum of two numbers is 68 and the difference is 12.

[Assuming x > y]

Now add these equations,

[tex]\Rightarrow[/tex] x + y + x - y = 68 + 12

[tex]\Rightarrow[/tex] 2x = 80

[tex]\Rightarrow[/tex] x = 40

Then, y = 68 - 40 = 28

Hence,

The required numbers are:

Some tips:

The likelihood that Zoe would then strike out in her further at bat this season is calculated.

The various findings or components in a pie chart are depicted by the sectors of a circle, and the entire circle symbolizes the total of the value of each of the components. Obviously, the overall angle of 360° at the central point of the circle is divided by the component values.

Now, for the stated question; It is mentioned that-

Step 1: Last season, Zoe struck out in 10% of her at-bats.

Thus, the probability that the Zoe struck out in her at-bats is 10%.

Then, the probability that the Zoe does not struck out in her at-bats is 90%.

Step 2: The simulation will have 40 trials.

Step 3: We can employ a spinner split into two sectors, one that included 10% of the spinner's area while the other 90%. Determine the central angle of the each sector.

Zoe got thrown out =10% of 360° = 36° Sector yellow

Zoe does not strike out (90 percent of 360° = 324°).

Consider the blue sector in the graph.

Step 4: A trial consists of one spin of the spinner and one strike on the bat by Zoe.

A successful trial means Zoe did not strike out, while a failed trial implies Zoe did strike out. The simulation will include 40 trials.

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The fraction equivalent to 24 /56 is  6/14.

A fraction having whole numbers for the numerator and denominator. A fraction is a number of the form: ab where a and b are integers and b≠0. It represents the division of two numbers.

Given:

Scale the numerator and the denominator down by a factor of 4.

According to given question we have

Down by a factor of 4 means divide  by 4.

when you scale the numerator and denominator down by 4, you just divide both of them by 4.

So since 24 divided by 4 is 6 and 56 divided by 4 is 14,

The answer is 6/14.

Therefore, the fraction equivalent to 24 /56 is  6/14.

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Answer:

a. No

b. Yes

c. Yes

Step-by-step explanation:

Answer:

Step-by-step explanation:

The scores on the statistics test was normally distributed with a mean of 86 and a standard deviation of 5. Jose scored a 93 on his test then 1.4% of the class scored less than he did.

A probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean.

The scores on the statistics test was normally distributed with a mean of 86, a standard deviation of 5, and Jose scored a 93 on his test.

We need to find the percentage of the class scored less than he did

z=(x-mean)/ S.D

=93-86/5

=7/5

=1.4

Therefore 1.4 percentage of the class scored less than Jose did.

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Answer:  i got it

Step-by-step explanation:

i hope this helped

The slope-intercept equation of the line with a slope of -13 that goes

through (5, 7)

y = -13x + 72

point slope form:  y = MX + b

m = slope, b = y-intercept

y = -13x + b  through (5,7)

Use the given point as (x,y) to find b

7 = -13(5) + b

7 = -65 + b

b = 72

y = -13x + 72

In Mathematics, a slope of a line is the change in y coordinate with respect to the change in x coordinate.  the web change in the y-coordinate is represented by Δy and the net change in the x-coordinate is represented by Δx. Where “m”  is the slope of a line. So, tan θ to be the slope of a line. Pick two points on the road and determine their coordinates.

Determine the difference in y-coordinates of those two points (rise). Determine the difference in x-coordinates for these two points (run). Divide the difference in y-coordinates by the difference in x-coordinates (rise/run or slope). Whenever the equation of a line is written within the form y = MX + b,  

it's called the slope-intercept form of the equation. The m  is the slope of the line. And b  is that the b in the point that is the y-intercept (0, b).  for instance, for the equation y = 3x – 7, the slope is 3,  and therefore the y-intercept is (0, −7).

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Answer:

Mean:  76

Median:  69

Mode:  63

Range: 46

Standard deviation: 15.5

Step-by-step explanation:

Given:

If each value in the data set is increased by a constant k, the mean, median, and mode will be increased by k.  

The range and standard deviation will remain unchanged.

Therefore, if each value in the data set is increased by 14:

Answer:

a. -10

b. -2

c. 10

d. 2

e. -2

f.  2

Answer:

a. = -10 b.=-2 c.=-2 d.=+2 e.=+2 f.=+10

Answer:

2 ≤ y

Step-by-step explanation:

2 ≤ y

A rectangle as the only parallelogram that can be inscribed in a circle.

A rhombus's opposite angles are congruent. If a rhombus has an angle, it has one pair of opposite angles that are and another pair of opposite angles that are. Because opposite angles are not supplementary, this rhombus cannot be encircled.

Because not all quadrilaterals can be inscribed in circles, they are not all cyclic quadrilaterals. If and only if the opposite angles of a quadrilateral are supplementary, it is cyclic.

A rectangle is the only parallelogram that can be inscribed in a circle. The important point is that the radius of the circle is R, because every rectangle can be inscribed in a (unique circle). (I believe.) One of the properties of a rectangle is that the diagonals bisect in the 'center,' which is also the circumscribing circle's center.

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The fraction 1/3 is not equivalent to a terminating decimal

A terminating decimal can be defined as a decimal expressed in a finite number of figures.

It is also said to be a decimal having an end point.

Example;

1/ 2 is a terminating decimal having its value as 0. 5

Given the fraction;

1/ 3, the decimal value = 0. 333333333

It is not a terminating decimal as it has an indefinite decimal value.

Thus, the fraction 1/3 is not equivalent to a terminating decimal

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Answer:

show working

Step-by-step explanation:

you know the area of a rectangle or square is length x width, we do the same here.

so we have a length of (x+5) and because its a square we do (x+5)(x+5) which is

[tex] {x}^{2} + 10x + 25[/tex]

and we know the area of the square is 30 so we make the expression above equal to 30 and take 25 away from both sides to get the wanted equation

Answer:

[tex]x = 1 + \frac23c[/tex]

Step-by-step explanation:

Hello!

Solve for x by isolating the variable.

The solution for x is [tex]x = 1 + \frac23c[/tex].

Answer:

-18.6

Step-by-step explanation:

I simply just did multiplication

 I multiplied the whole numbers alone and did the same with the fraction

then you add the two products and get your answer

The value of x is equal to 16.

Let A and B be angles supplementary to each other, two angles are supplementary when the sum of its measures is equal to 180°. Mathematically speaking, the geometric system is represented by the following formula:

(7 · x + 6) + (5 · x - 18) = 180

12 · x - 12 = 180

12 · x = 192

x = 16

The solution to this equation is 16.

The statement is incomplete, correct form is shown below:

Let be A and B two angles that are supplementary to each other. The measures are (7 · x + 6)° and (5 · x - 18)°, respectively. Find the value of x.

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assuming 4x+21=6x-23

then you can get x by doing

4x+21=6x-23

21=2x-23

44=2x

x=22

4x+21= 109

6x-23= 109

Answer:

48 dollars

Step-by-step explanation:

its $48 dollars

Answer:

-12+60 = 48 Result :$48

Step-by-step explanation:

-12+60 = 48 Result :$48

Answer:

Step-by-step explanation:

x = number of math problems left to do

x + 8 = 17

    x = 17 -8

    x = 9

Kamyle needs to do 9 more math problems

Answer:

multiply 4 times x and 3

Step-by-step explanation:

this is because the first step needed to solve is to expand it into 4x+12=12, so that u can solve it from here:

4x+12 =12

4x=12-12

4x=0

x=0/4

x=0

hope this helps :)

Answer: c. subtract three from both sides of the equation

Step-by-step explanation: you want to get the variable by itself. To do this reverse the subtraction or addition. In your case change the addition to subtraction.

The graph of f(x) is shifted 5 units to the left to create g(x).

A parent function is an equation in the simplest form of a family of functions. A family of functions is a collection of functions that represent similar characteristics and/or transformations of its parent function. A parent function can be represented with different degree values such as degrees 1, 2, or 3.

The most basic parent function is called a constant function.

Types of Parent Functions

There are multiple forms of parent functions. Some types of parent functions are:

Constant function: A horizontal line that intersects the y-axis.

Square root function: The inverse function of a quadratic function following the form f(x)= [tex]\sqrt{x}[/tex]

Cube root function: The inverse function of a cubic function in the form f(x)= 3     [tex]\sqrt{x}[/tex]

A parent function is the simplest form that a function can be. Its basic shape is not in any way altered.

For instance, when you see a u-shaped graph that is inverted and vertically stretched, you should still recognize that it is a parabola which has undergone different transformations

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Answer:

The graph of f(x) is shifted 5 units to the left to create g(x).

Step-by-step explanation:

Answer:

Length is 26.25 and width is 21.25

Step-by-step explanation:

the length is gonna be the width but plus 15, so W+15, and we know that there's 2 widths and 2 lengths in a perimeter so were gonna start off our algebraic expression like this:

2(15+W)+2W=115

distribute the 2

30+2W+2W=115

combine like terms

30+4W=115

subtract 30 from both sides

4W=85

divide 4 from both sides

W=21.25

now plug in our width value into W+15 to find length

W+15

21.25+15=L

36.25=L

By using cross mutliplication, there are 24 gallons in the water tank after 30 minutes.

According to the statement the water tank is full at constant rate, 10 % tank capacity per each 5 minutes. The tank has a capacity of 40 gallons. The gained capacity is determined by the following cross multiplication, where the water capacity is directly proportional to filling time:

x ∝ t

x = (n / 100) · V × (T / t)        (1)

Where:

x = [0.1 · (40 gal)] × (30 min / 5 min)

x = 24 gal

There are 24 gallons in the water tank after 30 minutes.

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Answer:

B

Step-by-step explanation:

9x is the variable in the question

Answer:

36

Step-by-step explanation:

= 24/6+2^3*4

= 24/6+8*4

= 4+8*4

= 4+32

= 36

The approximate rate of change in attendance from 2001 to 2005 is 1657.  

Rate of Change of value is defined as the change in value over an interval of time.

Denoted by [tex]rate.of.change=\frac{change.in.value}{time}[/tex]

In the given question

Attendance in the year 2001 = 450746

Attendance in the year 2005=457373

Time = 2005-2001= 4 years .

[tex]rate.of.change=\frac{value.in.2005-value.in.2001}{2005-2001}[/tex]

rate of change = [tex]\frac{457373-450746}{4}[/tex]=[tex]\frac{6627}{4}[/tex]=1656.75≅1657

this  means that attendance increases about 1657 per year.

Therefore , the approximate rate of change in attendance from 2001 to 2005 is 1657 .

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We can conclude that BC ≅ DA is congruent under corresponding parts of congruent triangles.

So,

Given: BA ≅ DC, ∠ B A C ≅ ∠ D C A

To Prove: BC ≅ DA

First, we'll prove the △BAC ≅ △DAC

So, △BAC ≅ △DAC under SAS conditions.

Therefore, we can conclude that BC ≅ DA is congruent under corresponding parts of congruent triangles.

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The value of both x and y are 6 degrees in the given figure of arrangement.

What is angle bisector ?

angle bisector is the line which divides the given angle into two equal parts.

a) Here, the line RQ is the angle bisector of angle ∠WRV that is RQ line divides the angle ∠WRV into two equal parts and it is given that :

angle ∠WRQ is 48 degrees

and, angle ∠QRV is 7y+6

Therefore, ∠WRQ = ∠QRV

7y+6 = 48

7y = 48-6

7y = 42

y = 6 degrees

b) It is given that CR is perpendicular to PR that is angle ∠CRP will make 90 degrees and it is given as :

∠CRP = 13x + 12 degrees

90 = 13x + 12

13x = 78

x = 6 degrees

Therefore, the value of both x and y are 6 degrees.

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The explicit formula can be found in three easy steps. Find the first term and the common difference of the arithmetic sequence first. Replace the values in the explicit formula's nth term.

An ordered group of numbers with a shared difference between each succeeding word is known as an arithmetic sequence. For instance, the common difference in the arithmetic series 3, 9, 15, 21, and 27 is 6.

Arithmetic sequences are sequences containing these patterns. The distance between succeeding terms in an arithmetic series is always the same. The difference between consecutive words is always two, hence the sequence 3, 5, 7, 9... is arithmetic.

An explicit formula that states a = d (n - 1) + c, where d is the common difference between succeeding words, and c = a1, can be used to establish an arithmetic sequence.

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