This rectangular design is made from 6 squares. there are 2 small squares surrounded by 4 larger squares. the area of each small square of 1sq.cmwhat is the total area of the design?

Answer:

a 90° clockwise rotation about the origin and then a reflection a cross the x-axis

The correct sequence is  90° clockwise rotation about the origin and then a reflection a cross the x-axis.

There are two different directions of rotations, clockwise and counterclockwise: Clockwise Rotations (CW) follow the path of the hands of a clock. These rotations are denoted by negative numbers. Counterclockwise Rotations (CCW) follow the path in the opposite direction of the hands of a clock.

So, according the given transformation the point A' appears on right side then is clockwise rotation.

If it was counterclockwise rotation then point A' appears on left side.

After that is over x- axis then it is reflection across the x-axis.

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Answer:

x^2+4

Step-by-step explanation:

It is 4 more than the width so you add 4 to the expression.

Answer:

In this equation, y = 2x - 5, it is already in that form and so the cumber in front of the x is the slope (2) and the constant number is the y-intercept (-5) - it's negative because of the minus sign in front of the number. So, the slope is 2 and the y-intercept is -5.

Step-by-step explanation:

hope this helps! can i pls get brainliest?

Answer:

X-intercept: -15

Y-intercept: 6

Step-by-step explanation:

The x-intercept of a graph is the x-coordinate of the graph when it crosses the x-axis, that is, when y=0. So to find the x-intercept given the equation for a graph, we find x when y=0:

-2x+5y=30

-2x+5(0)=30

-2x=30

x=-15

Similarly, the y-intercept of a graph is the y-coordinate of the graph when it crosses the y-axis, that is, when x=0. So to find the y-intercept given the equation for a graph, we find y when x=0:

-2x+5y=30

-2(0)+5y=30

5y=30

y=6

Answer:

Angles: adjacent

x = 18

Step-by-step explanation:

Adjacent Angles: angles that border each other to the left/right

Vertical Angles: opposite set of angles that are congruent

Given these definitions, these angles are not only adjacent, but also right angles. Right angles add to 90°.

Step 1: Combine like terms.

Step 2: Divide both sides by 5.

Therefore, the answer is adjacent and x = 18.

Check the picture below.

so the pebble will hit the ground when h(t) = 0.

It's noteworthy that the pebble is falliing off a cliff, so it was at rest, so its initial velocity is 0, so in essence is falling as fast as gravity can drop it.

\(~~~~~~\textit{initial velocity in feet} \\\\ h(t) = -16t^2+v_ot+h_o \quad \begin{cases} v_o=\textit{initial velocity}&0\\ \qquad \textit{of the object}\\ h_o=\textit{initial height}&256\\ \qquad \textit{of the object}\\ h=\textit{object's height}&\\ \qquad \textit{at "t" seconds} \end{cases} \\\\\\ h(t)=-16t^2+256\implies 0=-16t^2+256\implies 16t^2=256 \\\\\\ t^2=\cfrac{256}{16}\implies t^2=16\implies t=\sqrt{16}\implies t=4 ~~ seconds\)

(1)×3 and (2)×5

Subtract both

\(\\ \sf\longmapsto -29y=13\)

\(\\ \sf\longmapsto y=\dfrac{-13}{29}\)

\(\\ \sf\longmapsto 5x+\dfrac{-117}{29}=11\)

\(\\ \sf\longmapsto 5x=11+\dfrac{117}{29}=\dfrac{261+117}{29}=\dfrac{278}{29}\)

\(\\ \sf\longmapsto x=\dfrac{278}{145}\)

Answer:

y = 13 +3x

i answered in the comments, bc it wasnt lettin me actually answer

Step-by-step explanation:

3x - y = - 13

-3x -3x

-y = -13 - 3x

divide everything by -1

y = 13 + 3x

hope this helpsss!!!

Step-by-step explanation:

1/5 + 3/5 = 3/5 + 1/5 = 4/5

I am not sure what your teacher wants to see on the right side of the second equation.

it would be the whole equation again :

4/5 = 1/5 + 3/5 = 3/5 + 1/5

Answer:

D. Congruent - SAS

Step-by-step explanation:

Two sides and the included angle of a triangle are congruent to the corresponding parts of another triangle.

The triangles are congruent by SAS.

To plot the intercepts of the equation 5x - 4y = 20, we need to find the x-intercept and the y-intercept.

- The x-intercept is (4, 0).
- The y-intercept is (0, -5).
- The slope of a line parallel to this line is 3.
- The slope of a line perpendicular to this line is -4/5.

1. X-intercept:

x = 4

So, the x-intercept is (4, 0).

2. Y-intercept:

y = -5

So, the y-intercept is (0, -5).

To find the slope of the line parallel to the line passing through the points (-3, -9) and (0, 0), we can use the formula:

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

(a) Parallel line slope:

slope = (0 - (-9)) / (0 - (-3))

     = 9 / 3

     = 3

Therefore, the slope of the line parallel to the line passing through the points (-3, -9) and (0, 0) is 3.

(b) Perpendicular line slope:

For a line perpendicular to another line, the slope is the negative reciprocal of the original slope. The original slope is 3, so the perpendicular slope is -1/3.

Therefore, the slope of the line perpendicular to the line passing through the points (-3, -9) and (0, 0) is -1/3.

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Answer:

<b= 48 degree

Step-by-step explanation:

<A + <B + <C = 180 degree (Sum of angles in a triangle)

<A = 90 degree

<B = 2x + 14 degree

<C = 4x - 26 degree

\(90+2x+14+4x-26=180 degree\\2x+4x=180+26-90-14\\6x=102\\x=\frac{102}{6} \\x=17 degree\\\)

Therefore, <B = 2x + 14 = 2(17) + 14 = 34 + 14 = 48

<b = 48 degree

Answer:5

Step-by-step explanation:6×6

Answer:

free points, thanks ✌

Step-by-step explanation:

The radius of the cylindrical vase is 8 cm and  the base area of the vase is 200.96 cm².

Given :  area of the curved surface of a cylindrical vase is 1808.64 square centimeters

height of the vase is 36 centimeters

We know that , area of the curved surface of a cylindrical vase = 2πrh

where, r is the radius of the vase

h is  the height of the vase

(a)

From give we can say that ,

Area = 1808.64 square centimeters

h = 36 centimeters

On substituting, we get

1808.64 = 2 * 3.14 * r * 36  [pi = 3.14]

r = 8 cm

Hence , the radius of the cylindrical vase is 8 cm .

(b) base area of the vase = πr²

base area of the vase = 3.14 * 8 * 8 = 200.96 cm²

Hence , the base area of the vase is 200.96 cm².

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Answer: 5 hours/week

They will have to work 5 hours/week to get their amount equal.

An equation is the statement of equality between two expressions consisting of variables and/or numbers.

Given that, Alexa gets $100 every week from her parents and earns $25 per hour tutoring. Jenna gets $150 from her parents every week and earns $15 per hour baby-sitting.

Let the number of hours they work be n, then according to question,

100 + 25n = 150 + 15n

10n = 50

n = 5

Hence, They will have to work 5 hours/week to get their amount equal.

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(a) The least squares solutions of the linear system Ax = b are all vectors x that minimize the Euclidean distance between Ax and b.

(b) The orthogonal projection projcol(A) b of b onto col(A) is the closest vector to b that lies in the column space of A.

(c) The least squares error || b - projcol(A) b || represents the difference between b and its orthogonal projection onto col(A).

In a linear system, the matrix A represents a set of equations, and b is the right-hand side vector. The least squares solutions of the system Ax = b are the values of x that minimize the residual vector, which is the difference between Ax and b.

These solutions are obtained by finding the vector x that satisfies the normal equations \((A^T * A) * x = A^T * b\). The least squares solutions can be multiple if the column space of A is not spanned by a single vector.

The orthogonal projection projcol(A) b of b onto col(A) is the vector in the column space of A that is closest to b. It represents the best approximation of b using the column vectors of A.

The projection can be computed as projcol(A) b = \(A * (A^T * A)^{(-1)} * A^T * b.\)

The least squares error || b - projcol(A) b || measures the magnitude of the difference between b and its orthogonal projection onto col(A).

It quantifies the residual or the unexplained part of b that cannot be represented by the column space of A.

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The distance between the freighter from the​ city will be 73.71 miles.

For any triangle ABC, with side measures |BC| = a. |AC| = b. |AB| = c,

we have, by law of sines,

\(\rm \dfrac{sin\angle A}{a} = \dfrac{sin\angle B}{b} = \dfrac{sin\angle C}{c}\)

An island is located 44 miles, N​29​°45'W of a city.

A freighter in distress radios its position as N11°19'E of the island and N15°10​'W of the city.

Then the value of angle x will be

x = 11°19' + 15°10'

x = 26°29'

Then the value of y will be

26°29' + 29°45' + y = 180°

                             y = 123°46'

Then the distance between the freighter from the​ city will be

sin 29°45' / 44 = sin 123°46' / d

                     d = 73.71 miles

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Answer:

the answer is 70 hours I hope this helps sorry if it doesn't

Step-by-step explanation:

Answer:

38 hours

Step-by-step explanation:

So for the first 10 days he studied at least 30 hours.

He studied English for at least 8 hours.

So after 14 days he studied a total of 38 hours.

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-Brooke<3

Answer:

a.) yes they are similar shapes, the width for both rugs is 1/2 of the length. This means that they are both similar in shape.

b.) 2:5 (perimeter rug 1 and 2 compared), 4:25 ( area for 1 and 2). The numers in the perimeter ratio are the square root of the numbers in the area ratio.

c.) You will need 648 sq in for the small rug and 4050 sq in for the large rug.

d.) 2:  she has to sell the large rugs x>$9 and the small rugs for s>$1.50

Step-by-step explanation:

total perimeter for rug 1 = 108   For rug 2 = 270

area for run 1 = 648 For rug 2 = 4050

180 ft =  2150 in

The large rug needs two skeins of yarn which cost 9 dollars, if she wants to make a profit she will have to sell them over that price.

You can make 3 small rugs with one skein meaning if she wants to make a profit from the small rugs she has to sell them over 1/3 of the price of the skein (which is sold for $4.50). She will have to sell the small rug for over $1.50

The measure of the segment JK from the given information is 7

A line is defined as the smallest distance between two points. The point where two lines meet is known as an angle.

Given the following parameters

JL=19 and KL=12

Required

Length of JK

Using the addition postulate

JK + KL = JL

JK + 12 = 19

Subtract 12 from both sides

JK + 12 -12 = 19 - 12

JK = 19-12

JK = 7

Hence the measure of the segment JK from the given information is 7

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Answer:

y = 1/2x + 4 1/2

Step-by-step explanation:

A number cube has six numbers, from 1 to 6, with one number on each face.

Since the number cube is fair, the probability of each number being rolled is the same.

So, to find the probability of one specific number being rolled, we just need to divide 1 by the total amount of numbers:

The probability of rolling a 2 is the same as rolling any other number, therefore the probability is 1/6.

The value of sin(2x), cos (2x) and tan (2x) is 24/25, -7/25 and -24/7 respectively.

The value of the sin2x, cos2x, and tan2x  is calculated by applying trig ratios as follows;

Apply trigonometry identity as follows;

sin(2x) = 2sin(x)cos(x)

cos(2x) = cos²(x) - sin²(x)

tan(2x) = (2tan(x))/(1 - tan²(x))

If tan x = 4/3

then opposite side = 4

adjacent side = 3

The hypotenuse side  = 5 (based on Pythagoras triple)

sin x = 4/5 and cos x = 3/5

The value of sin(2x), cos (2x) and tan (2x) is calculated as;

sin (2x) = 2sin(x)cos(x) = 2(4/5)(3/5) = 24/25

cos (2x) = cos²(x) - sin²(x) = (3/5)² - (4/5)² = -7/25

tan (2x) = (2tan(x))/(1 - tan²(x)) = (2 x 4/3) / (1 - (4/3)²) = (8/3) / (-7/9)

= -24/7

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The nonresponse rate is 52%.

The nonresponse rate refers to the percentage of individuals in a sample who do not provide a response or do not participate in the survey or study. In this case, if only 48% of the students selected for the sample respond, the remaining percentage represents the nonresponse rate.

To calculate the nonresponse rate, we subtract the response rate from 100%. In this case, the response rate is 48%, so the nonresponse rate can be calculated as:

Nonresponse rate = 100% - Response rate

= 100% - 48%

= 52%

The nonresponse rate is important to consider in any study or survey as it may introduce potential bias if the nonrespondents have different characteristics or opinions compared to the respondents. It is crucial to analyze and address the nonresponse bias to ensure the sample represents the target population accurately.

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Answer are:
1. The sequence converges.
2. The limit is 0.
3. N/A, since the sequence converges.
4. N/A, since the limit is not 0.
5. N/A, since the limit is not 2

To determine if the sequence {an} converges, we need to find its limit. Let's first look at the expression for an:

an = (3n^5 – 5n^3 + 2) / (2n^4 + 4n^2 + 1)

We can simplify this expression by dividing each term by n^4:

an = (3/n^1 – 5/n^3 + 2/n^5) / (2 + 4/n^2 + 1/n^4)

As n approaches infinity, all the terms with powers of n in the denominator approach 0, so we can simplify the expression further:

an ≈ 3/(2n^4) = 3/2n^4

This means that the sequence {an} converges to 0, since the terms get smaller and smaller as n gets larger.

So the answers are:

1. The sequence converges.
2. The limit is 0.
3. N/A, since the sequence converges.
4. N/A, since the limit is not 0.
5. N/A, since the limit is not 2.

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