Juanita has 3 rectangular cards that are 7 inches by 8 inches. How can she arrange the cards, without overlapping, to make one larger polygon with the smallest possible perimeter? How will the area of the polygon compare to the combined area of the 3 cards? How should the cards be arranged? O A. Connect the sides of the cards that are 7 in. long. OB. Connect the sides of the cards that are 8 in. long. Click to select your answer and then click Check Answer. 2 pants remaining Clear All Final Check Review progress Question 8 of 10 Back Next > search OL

Answer:

9 roses : 4 daisies : 13 total

Step-by-step explanation:

9 roses

4 daisies

13 total flowers

(13 - 9 = 4)

Answer:

9:4

Step-by-step explanation:

If there are 13 flowers in a vase and 9 of them are roses, all you have to do is subtract 9 from 13. 13-9 is equal to 4, so now you know there are 4 daisies. If you are looking for the ratio between roses and daisies, you just have the ratio 9:4.

This should be the correct answer

Exact Form:

729/2

Decimal Form:

364.5

Mixed Number Form:

364  1/2

The word that describes the slope of the line representing the data in the table is "negative."

To determine the slope of the line representing the data in the table, we need to examine the relationship between the number of cards sold and the remaining amount of money needed.

Looking at the given data, we observe that as the number of cards sold increases, the remaining amount of money needed decreases. This indicates an inverse relationship between the two variables.

The slope of a line represents the rate of change between two variables. In this case, the slope is negative because the line decreases as we move from left to right.

Therefore, the word that describes the slope of the line representing the data in the table is "negative."

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Answer:

9.33

Step-by-step explanation:

\(-4(x-3)-1 = 4-7(x-5)\\-4x+12-1 = 4-7x+35\\-4x+7x = -12+1+4+35\\ 3x = 28\\x = 28/3\\x = 9.33\)

Answer:

Step-by-step explanation:

Guss

The power expression "w^5" can be entered as "w^5".

To represent a power using the caret symbol, follow these steps:

Start with the base variable or term, in this case, "w".

Type the caret symbol (^), which can be accessed by pressing SHIFT-6 on your keyboard.

Immediately after the caret symbol, enter the exponent or power value, in this case, "5".

The resulting power expression "w^5" represents the variable "w" raised to the power of 5.

Regarding the use of the fraction tool, it is not required to represent the power "w^5" as it does not involve any fraction. The fraction tool is typically used to enter fractions or rational expressions in the form of numerator/denominator.

Therefore, to represent the power "w^5", simply write it as "w^5" without using the fraction tool.

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Answer:

A. down

Step-by-step explanation:

The parent graph is

f(x)=x

If this graph is transformed to obtain

g(x)=f(x)−4

The subtracttion means the graph will shift downward vertically

The graph of g(x) is obtained by shifting f(x) down by 4 unit.

Therefore the direction is down.

Mark this as brainliest please.

Answer:

33 ft

Step-by-step explanation:

hey, hope this helps and right.

The Equation is y = -1/6x + 2/3 in point - slope form of line

Slope - Intercept Form:

A linear equation when graphed is a straight line that extends to infinity in both directions. One linear equation uses the slope, m, and the y - intercepts, b, in the form y = mx + b.

In the given question is that:

Write an equation in point-slope form of the line that passes through the given points. (4, 0) and (−2, 1)

Now, According to the question:

The slope - formula is:

\(m = \frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

Substitute the values :

\(x_{1} = 4\\\\x_{2}= -2 \\\\y_{1}= 0\\ \\y_{2} = 1\)

m = 1/ (-2 - 4)

m = -1/6

and, A line Equation is:

y = mx + b

Now, Substitute the values :

m = -1/6

x = 4

y = 0

0 = -1/6 x 4 + b

b = 2/3

Again, Substitute the values :

y = mx + b

y = -1/6x + 2/3

Hence, The Equation is y = -1/6x + 2/3 in point - slope form of line

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Answer:

The speed of Todd's snowmobile was 22 miles an hour

Step-by-step explanation:

:))

The speed of Todd's automobile is 31 miles per hour.

Speed is defined as the ratio of the time distance travelled by the body to the time taken by the body to cover the distance. Speed is the ratio of the distance travelled by time. The unit of speed in miles per hour.

Given that It took Todd 11 hours to travel over pack ice from one town in the Arctic to another town 330 miles away. During the return journey, it took him 15 hours.

For the first journey,

v₁ + v₂ = 330 / 11    ......................( 1 )

For the return journey,

v₂ - v₁ = 330 / 15 .........................( 2 )

From equation ( 1 ) and equation ( 2 ),

2v₂ = ( 330 / 11 ) + ( 330 / 15 )

2v₂ = ( 330 ) ( 31 / 165 )

v₂ = 165 ( 31 / 165 )

v₂ = 31 miles per hour

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The given quadrilaterals, 1 and 2,  are parallelograms because the pair of opposite sides are parallel and the other pairs are congruent.

3. According to Theorem 7.9, quadrilateral ABCD is a parallelogram.

4. According to Theorem 7.12, quadrilateral PQRS is a parallelogram.

3. Quadrilateral ABCD with vertices A(0,0), B(7,1), C(5,6), D(-2,5), and Theorem 7.9:

Theorem 7.9 states that if the opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram.

Using the distance formula, we can calculate the lengths of the sides of quadrilateral ABCD:

AB = √((7 - 0)² + (1 - 0)²) = √50

BC = √((5 - 7)² + (6 - 1)²) = √29

CD = √((-2 - 5)² + (5 - 6)²) =√50

DA = √((0 - (-2))² + (0 - 5)²) = √29

We can see that AB = CD and BC = DA, indicating that the opposite sides are congruent.

Quadrilateral PQRS with vertices P(-2,0), Q(3,1), R(4,4), S(-1,3), and Theorem 7.12:

Theorem 7.12 states that if both pairs of opposite sides of a quadrilateral are parallel and congruent, then the quadrilateral is a parallelogram.

Using the slope formula, we can calculate the slopes of the sides of quadrilateral PQRS:

Slope of PQ = (1 - 0) / (3 - (-2)) = 1/5

Slope of RS = (4 - 3) / (4 - (-1)) = 1/5

Slope of QR = (4 - 1) / (4 - 3) = 3

Slope of SP = (3 - 0) / (-1 - (-2)) = 3

The lengths of opposite sides can be calculated using the distance formula:

PQ = √((3 - (-2))² + (1 - 0)²) = √(25 + 1) = √26

RS = √((4 - 4)² + (4 - 1)²) = √(9) = 3

QR = √((4 - 3)² + (4 - 1)²) = √(1 + 9) = √10

SP = √((-1 - (-2))² + (3 - 0)²) = √(1 + 9) = √10

We can see that PQ = RS and QR = SP, indicate that the opposite sides are parallel and congruent.

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Yes b can be written as linear combination of 3 vectors

A linear combination of vectors is a sum of scaled vectors, where the scaling factors are scalars. In other words, it's a linear combination of the form a_1v_1 + a_2v_2 + ... + a_n*v_n, where v_1, v_2, ..., v_n are vectors and a_1, a_2, ..., a_n are scalars. This is a fundamental concept in linear algebra and vector spaces and is used in many areas of mathematics and physics.

if b is linear combination of \(a_1,a_2,a_3\)

then \(xa_1+ya_2+za_3=b\)

from here we got :

x+5z = 2

-2x+y-6z = -1

2y + 8z = 6

after solving the above equation we get the solution as

{x,y,x} = {2,3,0} is a solution to the above equation so b is a linear combination of \(a_1,a_2,a_3\)

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Complete question:

determine if b is a linear combination of \(a_1,a_2,a_3\)

\(a_1\) = \(\left[\begin{array}{ccc}1\\-2\\0\end{array}\right]\)      , \(a_2 = \left[\begin{array}{ccc}0\\1\\2\end{array}\right]\)   , \(a_3 = \left[\begin{array}{ccc}5\\-6\\8\end{array}\right]\) ,  b= \(\left[\begin{array}{ccc}2\\-1\\6\end{array}\right]\)

To find the distance between points A and B, we can use trigonometry and the given information.

Let's label the distance between A and B as "d". We know that point C is 94.4 meters away from point A. From angle A, we have the measure of 72°, and from angle C, we have the measure of 30°.

Using trigonometry, we can use the tangent function to find the value of "d".

tan(72°) = d / 94.4

To solve for "d", we can rearrange the equation:

d = tan(72°) * 94.4

Using a calculator, we can evaluate the expression:

d ≈ 4.345 * 94.4

d ≈ 408.932

Therefore, the distance between points A and B is approximately 408.932 meters.

The missing side in the triangle is 13 units which is the hypotenuse. The values of sine, cosine, and tangent of the referenced angle are 5/13, 12/13, and 5/12 respectively.

Trigonometry is the branch of mathematics that deals with particular functions of angles and how to apply them in calculations. There are six widely used angles-related trigonometric functions. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant(csc) are their respective names and acronyms.

In the given triangle the reference angle is θ.

So, the adjacent side (P) has a length of 12 units. The opposite (B) is the side having a length of 5 units. So, the hypotenuse will be

Then, acc to Pythagoras theorem, the hypotenuse (H) will be

H² = P² + B²

H² = 5² + 12²

H² = 25 + 144

H² = 169

H = √169

H = 13 units

This is the missing side of the given triangle.

The sine is

sinθ = opposite/ hypotenuse

= 5/13

cosθ = adjacent/ hypotenuse

= 12/13

tanθ = opposite/ adjacent

= 5/12

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Answer:

pls ask the question in english pls i don't understand it

Answer:

23 gallons

Step-by-step explanation:

Given:

A barn is shaped like a rectangular prism with a triangular prism on top as shown.

The exterior four walls and two triangular faces need to be repainted.

To Find:

If one gallon of paint covers 232 square feet, how many gallons will it take to repaint the barn?

Solve:

\(12\cdot38\div2\cdot2+84\cdot20+38\cdot20\cdot2\)

= \(5336\;square\;feet\)

\(\frac{5336}{232}=23\)

Hence 23 gallons to repaint the barn

~lenvy~

Work Shown:

21/35 = (7*3)/(7*5) = 3/5

Answer:

When we are multiplying the same number, let it be n, m times, what we do is:

\(n^m\), where n is the base and m the exponent.

In this case we have 4 fives, 2 threes, 3 x and 1 y which are being multiplied , so we can convert them to exponents:

Then we multiply all: \(5^4*3^2*x^3y\)

Step-by-step explanation:

A. Range = highest quantity – lowest quantity

140000 – 122000

18000

B. 125000 + 128000+122000+133000+140000/5

Ans: 129600

Answer:

1/24

One fourth of 1/6 is 1/24

The correct options regarding the statistical measures in this problem are given as follows:

3. The IQR remains a 2.

7. Mean 84º.

To find the quartiles, we need to consider the median, which is the middle value of a data-set, hence:

For question 3, adding the shoe size of 8, the ordered data-set is given by:

5, 5.5, 6, 6.5, 6.5, 7, 7.5, 8, 8, 8, 8.5.

Hence:

Hence the IQR is given by:

IQR = 8 - 6 = 2.

Thus the correct option is:

The IQR remains a 2.

For question 7, the second lowest value would remain the second highest value. The only measure that considers all the values to be calculated is the mean, hence the correct option is:

Mean 84º.

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we can split the figure into two parts and then add its area

for the circle area

where r is 3 because is half the diameter,

and we divide the area in half since it is half a circle

so

for the triangle area

Answer:

Step-by-step explanation:

-1<x<3.   I hope it helpful!

Answer:

48 goes into 123 about 2.5625 times.

Step-by-step explanation:

To determine how many times does 48 go into 123, the following mathematical calculation must be performed, by which 123 will be divided by 48 to obtain said number of times:

123/48 = X

2.5625 = X

Therefore, 48 goes into 123 about 2.5625 times.

Answer:

y=4x+c now put (-3,7) into the equation to find the y intercept. 7=4×−3+c. 7=−12+c. c=19.

Step-by-step explanation:

y=mx++c is the general equation with m as the slope.

If we have a right triangle R as:

We have a right angle.

The only way we can make a parallelogram that is not a square is placing the triangle so the parallelogram does not have any right angle. That would be;

This way, the right angles are added to one of the other angles, in order to have none right angles, as it is the condition to have a four-side figure that is not a square or rectangle.

(If the triangle R can compose a square, it should have two equal sides, not like our figure).

Answer:

x = 16

y = 70.4

Step-by-step explanation:

Two triangles are similar, so we can use the similarity ratio to so find the variables

(2.8)/(22.4) = (8.8)/y cross multiply expressions

197.12 = (2.8)*y divide both sides by 2.8

70.4 = y

use same operation to find x

(2.8)/(22.4) = x/128 cross multiply expressions

358.4 = (22.4)*x divide both sides by 22.4

16 = x

Answer:

11,765

Step-by-step explanation: 1 word make up 0,024 minute so 500 words 500.0,024 = 11,765 minutes

Answer:

x>3,x<−4

Um okay, you first subtract one from both sides and then you'll have to solve a negative equation and a positive one thats why there are 2 answers. I don't really know how to explain sorry!

Answer: (1) x<-4 or x>3

Rearrange unknown terms to the left side of the equation: |18x+9|+1>64-1

Calculate the sum or difference: |18x+9|>63

Convert the absolute inequality to standard inequality: 18x+9>63 or 18x+9<-63

Reduce the greatest common factor for both sides of the inequality: 2x+1>7

Rearrange unknown terms to the left side of the equation: 2x>7-1

Calculate the sum or difference: 2x>6

Reduce the greatest common factor for both sides of the inequality: x>3

Reduce the greatest common factor for both sides of the inequality: 2x+1<-7

Rearrange unknown terms to the left side of the equation: 2x<-7-1

Calculate the sum or difference: 2x<-8

Reduce the greatest common factor for both sides of the inequality: x<-4

Find the union: x<-4 or x>3

Answer: x<-4 or x>3