do you have other ways in finding the measure of the sides without using algrebra tiles?​

(1) One of the six countries sent 41 representatives to the congress --> obviously x6=41x6=41 --> x1+x2+x3+x4+A=34x1+x2+x3+x4+A=34.

Given: x1<x2<x3<x4<A<x6x1<x2<x3<x4<A<x6 and x1+x2+x3+x4+A+x6=75x1+x2+x3+x4+A+x6=75. Q: is A≥10A≥10

Can A≥10A≥10? Yes. For example: x1=2x1=2, x2=3x2=3, x3=8x3=8, x4=10x4=10, A=11A=11 --> sum=34sum=34 (answer to the question YES);

Can A<10A<10? Yes. For example: x1=4x1=4, x2=6x2=6, x3=7x3=7, x4=8x4=8, A=9A=9 --> sum=34sum=34 (answer to the question NO).

(2) Country A sent fewer than 12 representatives to the congress --> A<12A<12.

The same breakdown works here as well:

Can 12>A≥1012>A≥10? Yes. For example: x1=2x1=2, x2=3x2=3, x3=8x3=8, x4=10x4=10, A=11A=11, x6=41x6=41 --> sum=75sum=75 (answer to the question YES);

Can A<10A<10? Yes. For example: x1=4x1=4, x2=6x2=6, x3=7x3=7, x4=8x4=8, A=9A=9, x6=41x6=41 --> sum=75sum=75 (answer to the question NO).

(1)+(2) The given examples fit in both statements and A in one is more than 10 and in another less than 10. Not sufficient.

Answer:

length of rectangle NEHI = NI = (38 – 8) = 30 feet

width of rectangle NEHI = NE = 5 feet

area of rectangle NEHI = length × width

= 30 × 5

= 150 square feet

Step-by-step explanation:

Answer:

x=17 degrees

Step-by-step explanation:

All 3 angles = 180 degrees

So 90 + 54 + (x+19) = 180

Combine like terms

163 + x = 180

Subtract 163 from both sides

x = 180-163

x = 17

The system of equations has infinite solutions, both equations represent the same line.

Here we have the following system of equations:

-3x+6y=12

2y=x+4

And we want to solve this by substitution, first, we can rewrite the first equation as:

-3x + 3*(2y) = 12

Now we can substitute the second equation 2y = x + 4 in the parenthesis, we will get:

-3x + 3*(x + 4) = 12

Now we can solve this for x.

-3x + 3x + 12 = 12

12 = 12

So this is true for any value of x, which means that both equations represent the same line (thus the system has infinite solutions).

Learn more about systems of equations:

https://brainly.com/question/13729904

#SPJ1

Answer:

Step-by-step explanation:

Plot 213, −56, and −312 on the number line.

Answer:

The radius of the cylinder is: r = 11 yards

Step-by-step explanation:

Given

The height of cylinder = h = 16 yards

Volume of cylinder = V = 6079.04 cubic yards

To determine

The radius of cylinder = r = ?

Using the formula involving volume of the cyliner

V = πr²h

substituting h = 16, V = 6079.04 and π = 3.14

6079.04 = 3.14 (r²) 16

r² = [6079.04] / [(3.14) (16)]

r² = 6079.04 / 50.24

r² = 121

\(r=\sqrt{121},\:r=-\sqrt{121}\)

\(r=11,\:r=-11\)

As radius can not be negative.

Therefore, the radius of the cylinder is: r = 11 yards

The triangles are congruent according to the SAS congruence criteria.

Two triangles are said to be congruent if pairs of their corresponding sides and their corresponding angles are equal.

Therefore, If two sides and the included angle of one triangle are equal to two sides and included angle of another triangle, then the triangles are congruent.

Therefore, the triangles are ABC and EBD are congruent by SAS principle.

They are congruent according to the SAS congruence criteria.

learn more on congruent triangles here: brainly.com/question/30818451

#SPJ1

Step-by-step explanation:

so, if the text is correct, the 2 points are

(2, 3) and (-3, 15).

the length of the line segment is the distance between both points.

did this we use Pythagoras for right-angled triangles.

c² = a² + b²

c is the Hypotenuse and the distance between both points. a and b are the legs (enclosing the 90 degree angle), which are simply the differences of the x and the y coordinates.

so,

distance² = (2 - -3)² + (3 - 15)² = 5² + (-12)² = 25 + 144 = 169

distance = sqrt(169) = 13 = length of line segment

Answer:

1. 1

2.13

3. Brendan is correct

Answer:

1. The GCF is 1

2. THE GCF is 13

3. Brendan is correct

Answer:

y = -3x - 1

Step-by-step explanation:

The slope-intercept form is y = mx + b

m = the slope

b = y-intercept

Slope = rise/run or (y2 - y1) / (x2 - x1)

Point (-1, 2) (1, -4)

We see the y decrease by 6 and the x increase by 2, so the slope is

m = -6 / 2 = -3

Y-intercept is located at (0, - 1)

So, the equation is y = -3x - 1

Answer:correct

Step-by-step explanation:

The variable of interest in observational studies is not controlled. Option D is correct.

Observational studies are a type of study in which the researcher observes and records data without interfering with or manipulating the variables of interest. In observational studies, the researcher does not intervene or control the variables being studied, but instead, collects data by observing the natural behavior or characteristics of the study subjects.

Observational studies are useful in many fields, including medicine, psychology, sociology, and economics. They are often used to explore potential relationships between variables, to identify risk factors for diseases, to investigate the effectiveness of interventions, and to study social phenomena.

Observational studies have advantages and disadvantages. One advantage is that they can provide valuable information about real-world behavior and characteristics of individuals or groups. Therefore, it is important to carefully design and analyze observational studies to ensure that the results are accurate and reliable.

Hence, D.is not controlled is the correct option.

To know more about Observational studies here

https://brainly.com/question/17593565

#SPJ4

Answer:

-4x - 17y + 12

Step-by-step explanation:

I combined like terms

-3x + 5y - 10x - 14y+4+9 -8y + 9x - 1

= -4x - 17y + 12

The amount of money that Britta will pay is; SEK2500

Let the amount paid by Britta scabetala be x

Now, we are told that Britta scabetala half as much as Agda. Thus;

Amount paid by Agda = 2x

Now, Cornelia must pay SEK 1,500 less than Britta. Thus,

Amount paid by Cornelia = x - 1500

Agda must pay five times as much as Cornelia. Thus;

2x = 5(x - 1500)

2x = 5x - 7500

5x - 2x = 7500

3x = 7500

x = 7500/3

x = SEK2500

Read more about Algebra Word Problems at; https://brainly.com/question/13818690

#SPJ1

F

Step-by-step explanation:

Because have faith in me. Do you need an explanation? Belieeeeve meeeee.

Answer: im not sure but ithnk it is f 100%

Step-by-step explanation:give me brainlest if is correct

Answer:

3y+5≤17

Step-by-step explanation:

Well we know she brought 1 note book and each note book is $5, its +5

Now we know she brought Y markers and each marker cost $3 so its 3Y

Now we know the price is no more than 17 which means she could’ve spent 17 or less tha, no more then 17 so less than or equal to sign ≤17

Now combine them

3y+5≤17

Thats the equation

If you want to find Y, solve it like an equation

To compare the two investment options, we must compute the future value (FV) of each account after 30 years of compounding at a 2.5% rate.As an outcome, the IRA will have a future value that is $107,116.33 greater than the Roth IRA.

We have monthly payments of $416.66 for 30 years, or 360 months, on the IRA. Using the following formula to calculate the future value of an annuity:

\(FV = PMT * [(1 + r)^n - 1] / r\)

We can calculate the future value of the IRA using the following formula: where PMT is the monthly payment, r is the monthly interest rate (2.5% / 12), and n is the number of payments (360):

\(FV IRA = 416.66 * [(1 + 0.025/12)^360 - 1] / (0.025/12) = $358,888.91\)

We have annual payments of $5000 for 30 years on the Roth IRA. Using the following formula to calculate the future value of a lump sum:

\(PV * (1 + r)n = FV\)

where PV is the present value (the lump sum), r is the annual interest rate (2.5%), and n is the number of years (30), we can calculate the Roth IRA's future value:

5000 * (1 + 0.025)30 = $251,772.58 FV Roth

As a result, the IRA will outperform the Roth IRA in terms of future value by:

$358,888.91 - $251,772.58 = $107,116.33 FV IRA - FV Roth

As a result, the IRA will have a future value that is $107,116.33 greater than the Roth IRA.

To know more about present value visit:-

https://brainly.com/question/14860893

#SPJ1

The profit for one small cake is approximately £0.3564.

To find the profit for one small cake, let's assign variables to represent the profits. Let's call the profit for one small cake "P_s," the profit for one medium cake "P_m," and the profit for one large cake "P_l."

Given information:

The ratio of small to medium to large cakes sold is 9:5:12.

The profit for one medium cake is three times the profit for one small cake.

The profit for one large cake is four times the profit for one small cake.

The total profit is £815.76.

We can set up equations based on the given information:

P_m = 3P_s (Profit for one medium cake is three times the profit for one small cake)

P_l = 4P_s (Profit for one large cake is four times the profit for one small cake)

Total profit = 286P_s + 286P_m + 286P_l = £815.76 (Total profit is the sum of profits for each cake sold)

Since we know the ratio of small, medium, and large cakes sold, we can express the number of each cake sold in terms of the ratio:

Let's assume the common ratio is "x," so we have:

Small cakes sold = 9x

Medium cakes sold = 5x

Large cakes sold = 12x

Now we can substitute these values into the total profit equation:

286P_s + 286P_m + 286P_l = £815.76

Substituting P_m = 3P_s and P_l = 4P_s:

286P_s + 286(3P_s) + 286(4P_s) = £815.76

Simplifying:

286P_s + 858P_s + 1144P_s = £815.76

2288P_s = £815.76

Dividing both sides by 2288:

P_s = £815.76 / 2288

P_s ≈ £0.3564

Therefore, the profit for one small cake is approximately £0.3564.

​for such more question on profit

https://brainly.com/question/1078746

#SPJ8

The largest group would be the target population as it encompasses all individuals or objects of interest, while the other groups are subsets or smaller samples of this larger group.

Out of the four groups listed, the largest group would be the target population. The target population is the total group of individuals or objects that the researcher is interested in studying or gathering information about. It is the group that the researcher wants to make conclusions about based on their study results.

The accessible population is a subset of the target population and refers to the group of individuals or objects that are accessible and available for the researcher to study. This group may be smaller than the target population if some individuals or objects are not accessible or willing to participate in the study. The sample is a smaller subset of the accessible population that is actually studied and analyzed. The sample is chosen to be representative of the accessible population and the target population.

The control group is a specific type of sample used in experimental research. It is a group that does not receive the intervention or treatment being studied and is used to compare against the group that does receive the intervention or treatment.

To learn more about Population :

https://brainly.com/question/25630111

#SPJ11

Answer:

The answer would be -2 1/6

Step-by-step explanation:

The arrow goes to the left side because it is negative. -1/3 would be equal to -2/6. -5/6 + -1/6 + -1/6 = -1 1/6. Add the 1 and you get -2 1/6!

Hope this helped ^^

Answer:

84

Step-by-step explanation:

add em all together

The value of the given integral is (625π/3).

To evaluate the given integral, we use cylindrical coordinates. The transformation equations are:

x = r * cos(theta)

y = r * sin(theta)

z = z

The Jacobian of the transformation is obtained as:

J = | ∂(x, y, z) / ∂(r, theta, z) |

= | cos(theta) sin(theta) 0 |

|-rsin(theta) rcos(theta) 0 |

| 0 0 1 |

Simplifying the determinant, we get:

J = r * (cos^2(theta) + sin^2(theta))

= r

Now, we substitute the transformation into the given integral:

∫(-5 to 5) ∫(0 to 2π) ∫(0 to √(25 - x^2)) r * √(1/(x^2 + y^2)) dy dtheta dz

This becomes:

∫(-5 to 5) ∫(0 to 2π) ∫(0 to √(25 - x^2)) r^2 * dr dtheta dz

Simplifying further:

∫(-5 to 5) ∫(0 to 2π) (1/3) * (25 - x^2)^(3/2) dtheta dz

Next, we integrate with respect to theta:

∫(-5 to 5) (2π/3) * ∫(0 to √(25 - x^2)) (25 - x^2)^(3/2) dz dx

Integrating with respect to z:

∫(-5 to 5) (2π/3) * [(25 - x^2)^(5/2)] / (5/2) dx

Simplifying further:

(2π/3) * ∫(-5 to 5) [(25 - x^2)^(5/2)] dx

This is a standard integral that can be evaluated using basic calculus. The result is:

(2π/3) * (625/2)

= (625π/3)

Therefore, the value of the given integral is (625π/3).

To know more about integral, click here

https://brainly.com/question/31433890

#SPJ11

\(\sf (6^{n+2}-6^n)\div(6^{n+1}+6^n) =(36\cdot 6^n-6^n ):(6\cdot 6^n +6^n )=\\\\ (35\cdot \backslash\!\!\!6^n)\div(7\cdot \backslash\!\!\! 6^n )=35:7=\boxed{5}\)

The function f(x) = { (1/16)x³, x ≤ 4; x² + 4, x > 4 } is differentiable everywhere, since it is continuous and has a well-defined derivative at every point and the value of a is 1/16 and b is 4

Now, let's consider the function f(x) given by f(x) = { ax^3, x ≤ 4; x^2 + b, x > 4 }. We are asked to find values for a and b such that the function is differentiable everywhere.

Returning to our function f(x), we need to find values for a and b such that the left and right limits of f(x) at x = 4 are equal and are equal to the value of f(x) at x = 4.

The left limit of f(x) at x = 4 is given by:

lim (x → 4-) f(x) = lim (x → 4-) (ax³) = 64a

The right limit of f(x) at x = 4 is given by:

lim (x → 4+) f(x) = lim (x → 4+) (x² + b) = 16 + b

The value of f(x) at x = 4 is given by:

f(4) = 64a = 16 + b

To make the left and right limits equal, we must have:

64a = 16 + b

To make the function continuous at x = 4, we must have:

64a = 16 + b = f(4)

Solving for a and b, we get:

a = 1/16

b = 4

To know more about about differentiation here

https://brainly.com/question/30074964

#SPJ4

Given that

\(f(x) = -3\\\\\implies x^2 -5x +3 = -3 \\\\\implies x^2 -5x +6=0\\\\\implies x^2 - 3x -2x +6 =0\\\\\implies x(x-3) -2(x-3) =0\\\\\implies (x-2)(x-3)=0\\\\\implies x =2~ \text{or} ~ x =3\)

Answer:

(2, - 3 ) and (3, - 3 )

Step-by-step explanation:

f(x) = x² - 5x + 3 and f(x) = - 3 , then equating

x² - 5x + 3 = - 3 ( add 3 to both sides )

x² - 5x + 6 = 0 ← in standard form

(x - 2)(x - 3) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 2 = 0 ⇒ x = 2

x - 3 = 0 ⇒ x = 3

solutions are (2, - 3 ) and (3, - 3 )

Answer:

1:2

20:10

Step-by-step explanation:

for every 2 hydrogen there is 1 oxygen.

20:10 for part 2 can be reduced down to 2:1 because there is still 2 hydrogen for every 1 oxygen

Answer:

A. the ratio would be H2 over 1O

B. the ratio would be 10o over 20h

Step-by-step explanation:

A. Because the water molecule is made of 2 Hydrogen and 1 Oxegen, then you would just put 2/1 or if she or he would like you to be more specific, 2h/ 1o.

B. For this one you would multiply by the 2/1 10 and put the denominator where the numerator is and the original numerator where the denominator used to be. Your answer would then be 10/20. Now you can simplify this ratio by splitting it in half and having it be 5/10 or better yet, 1/2.

I really hope this helps and if you need more explaining please let me know.

's' and 't' represent free parameters that can take on any real values.

In the given system of equations:

x1 - x2 + 4x3 = -4

6x1 - 5x2 + 7x3 = -5

3x1 - 39x3 = 45

To solve this system, we can use the method of Gaussian elimination or matrix operations. Let's use Gaussian elimination:

Step 1: Write the augmented matrix for the system:

[1 -1 4 | -4]

[6 -5 7 | -5]

[3 0 -39 | 45]

Step 2: Perform row operations to transform the matrix into row-echelon form:

R2 = R2 - 6R1

R3 = R3 - 3R1

The updated matrix becomes:

[1 -1 4 | -4]

[0 1 -17 | 19]

[0 3 -51 | 57]

Step 3: Perform additional row operations to further simplify the matrix:

R3 = R3 - 3R2

The updated matrix becomes:

[1 -1 4 | -4]

[0 1 -17 | 19]

[0 0 0 | 0]

Step 4: Write the system of equations corresponding to the row-echelon form:

x1 - x2 + 4x3 = -4

x2 - 17x3 = 19

0 = 0

Step 5: Express the variables in terms of a parameter:

x1 = s

x2 = 19 + 17s

x3 = t

where s and t are parameters.

Therefore, the solution to the system is:

[x1] = [s]

[x2] = [19 + 17s]

[x3] = [t]

In the provided solution format:

[x1] = [s] []

[x2] = [19 + 17s] + s []

[x3] = [t] [__]

Here, 's' and 't' represent free parameters that can take on any real values.

Know more about the row-echelon form click here:

https://brainly.com/question/30403280

#SPJ11

Answer:

0.54

Step-by-step explanation:

6 divided by 11 is 0.54-non-terminating therefore we get 0.54

Answer:

0.5455

Step-by-step explanation:

Plz choose mine as brainliest

Answer:

44 - 47 is -3 if thats what youre asking

Step-by-step explanation: