What is the length Y in this picture ?

Answer:

the y-intercept is one

Step-by-step explanation:

because the slope is 11/1 and it cross the y axis at 1

CosA is negative for the largest angle in an obtuse triangle. Using the law of cosines, a²>b²+c², a>b, and a>c are derived.

Step 1: As the obtuse triangle has the largest angle A (more than 90 degrees), the cosine function's value is negative.

Step 2: By applying the Law of Cosines in the triangle, a²>b²+c², which is derived from a²=b²+c²-2bccosA, and hence a>b and a>c can be derived.

Step 3: From the previously derived inequality a²>b²+c², we can conclude that a>b and a>c as a²-b²>c². The value of a² is greater than both b² and c² when a>b and a>c.

Therefore, the largest angle of an obtuse triangle is opposite the longest side.

Step 4: In triangle ABC, A=103°, a=25, and c=30.

a² = b² + c² - 2bccos(A),

a² = b² + 900 - 900 cos(103),

a² = b² + 900 + 900 cos(77),

a² > b² + 900, so a > b.

Similarly, a² > c² + 900, so a > c.

Therefore, triangle ABC satisfies a>b and a>c.

To know more about the obtuse triangle visit:

https://brainly.com/question/3250447

#SPJ11

the answer is 4

Step-by-step explanation:

Answer:

part A; B and Part B;  pencils

Step-by-step explanation:

you want to find out how many pens and pencils you cn buy with that 90$ so you want to do

.75y+.15x=90

pens=50

pencils=50

but you want to add .75+.15 which = .90

then you divide 90/.90

and that equals 100

then split it up and each gets 50

The scale factor of dilation can be found by using the formula\((x_0=\frac{kx_1-x_2}{k-1}, y_0=\frac{ky_1-y_2}{k-1})\).

What is dilation?

A dilation is a transformation that creates an image that has the same shape as the original but is larger.

• An enlargement is a dilation that produces a larger image.

• A reduction is a dilation that produces a smaller image.

• A dilation expands or contracts the original figure.

A dilation is a stretch or a shrink in the size and location of a figure or point.

The scale factor in a dilation is the amount by which the figure is stretched or shrunk.

The center of dilation is a reference point used to appropriately scale the dilation of a figure. Given a point on the pre-image, \((x_1, y_1)\)and a corresponding point on the dilated image \((x_2, y_2)\)and the scale factor,

k, the location of the center of dilation, \((x_0,y_0)\) is

\((x_0=\frac{kx_1-x_2}{k-1}, y_0=\frac{ky_1-y_2}{k-1})\)

Hence, the scale factor of dilation can be found by using the formula\((x_0=\frac{kx_1-x_2}{k-1}, y_0=\frac{ky_1-y_2}{k-1})\).

To learn more about dilation, visit:

brainly.com/question/11914738

#SPJ4

Answer: its 12 and 8 10 12 14 16 either of those

Step-by-step explanation:

Answer:

N - 3

Step-by-step explanation:

It is a series of -3 so:

7 -3 = 4

4 - 3 = 1

1 - 3 = -2

So:

N-3

where N is the present value in the sequence.

To determine whether the linear transformation T is one-to-one, onto, or neither, we need to analyze the rank and nullity of the transformation.

The rank of T is the dimension of the image space, which is the span of the columns of the transformation matrix. To find the matrix, we can write T(X, Y, Z, W) = (V, W, X, Z) as a matrix equation:

|V|   |0 0 1 0||X|
|W| = |0 1 0 0||Y|
|X|   |1 0 0 0||Z|
|Z|   |0 0 0 1||W|

From this matrix, we can see that the columns are linearly independent, so the rank of T is 4.

The nullity of T is the dimension of the kernel, which is the set of all solutions to the equation T(X, Y, Z, W) = (0, 0, 0, 0). We can set up the augmented matrix for this equation:

|0 0 1 0 0|
|0 1 0 0 0|
|1 0 0 0 0|
|0 0 0 1 0|

Row-reducing this matrix gives:

|1 0 0 0 0|
|0 1 0 0 0|
|0 0 1 0 0|
|0 0 0 1 0|

The only solution is the trivial one, so the nullity of T is 0.

Since the rank of T is equal to the dimension of the domain and the codomain, T is onto. And since the nullity of T is 0, T is also one-to-one. Therefore, the correct answer is "one-to-one and onto".
Hi! To determine whether the linear transformation T: R4 → R4, T(X, Y, Z, W) = (V, W, X, Z) is one-to-one, onto, or neither, let's analyze the properties of this transformation.

1. One-to-one: A linear transformation is one-to-one if different input vectors produce different output vectors.

In this case, T(X, Y, Z, W) = (V, W, X, Z). Observe that every input vector (X, Y, Z, W) uniquely determines the output vector (V, W, X, Z). Thus, this transformation is one-to-one.

2. Onto: A linear transformation is onto if every output vector can be produced by some input vector.

For this transformation, T(X, Y, Z, W) = (V, W, X, Z), every output vector (V, W, X, Z) can be produced by the input vector (X, Y, Z, W). So, the transformation is onto as well.

In conclusion, the linear transformation T: R4 → R4, T(X, Y, Z, W) = (V, W, X, Z) is both one-to-one and onto.

To know more about linear transformation visit:

https://brainly.com/question/29642164

#SPJ11

48.15 written in words is forty-eight and fifteen hundredths(The second option)

Number system can be defined as a system of writing to express numbers.

In numbering system, the number 48 is in Tens because it falls between 1 to 100

The number 15 comes after the decimal place and also it falls between 1 to 100 which makes it hundredths

Hence, we write the number 48.15 in numbering system as forty-eight and fifteen hundredths in words

Learn more about number system on:https://brainly.com/question/17200227

#SPJ1

The equation of g(x) is 24 (3)ˣ when the graph is stretched vertically by a factor of 3 to form the graph g(x).

What is function?

For the parent function f(x) and a constant k >0,

then, the function given by  

g(x) = kf(x) can be sketched by vertically stretching f(x) by a factor of k if k>1 (or)

if 0 < k < 1 , then it is vertically shrinking f(x) by a factor of k

As per the given statement that the graph of f(x) is stretched vertically by a factor of 3 i.e

k = 3 >1

so, by definition

g(x) = 3 f(x) = 3 . 8(3)ˣ

= 8(3)ˣ⁺¹

= 24 (3)ˣ

Hence, the equation of g(x) is 24 (3)ˣ when the graph is stretched vertically by a factor of 3 to form the graph g(x).

To know more about function check the below link:

https://brainly.com/question/22340031

#SPJ1

A function in the variable w giving the cost C is 81.77 dollars.

Volume is a unit of measurement for the area occupied in three dimensions. It is widely quantified and measured using SI-derived units, alternative imperial units, or US standard units (such as the gallon, quart, cubic inch). Volume and length (cubed) have a similar meaning.

First, volume was calculated using naturally occurring vessels with a similar shape, and then using standardized containers.

Surface area of an open lid container is:

A=2×sides+Base

So,

A=2(lh+wh)+lw

Cost of the base is $5 per square meter and the cost of the sides is $3 per square meter.

Now, the cost function is:

C=3×2(lh+wh)+5×lw

C=6(lh+wh)+51w

Here, the length is twice the width then,

l=2w

C=6(2wh+wh)+5×2w²

C=6(3wh)+10w²

C=18wh+10w²

And we know that the volume is,

V= lwh

2w²h=10

h=5/w²

C=18wh+10w²

C=18w×(5/w²)+10w²

C=(90/w)+w²

C'=(-90/w²)+20w

0=(-90/w)+20w

20w=(90/w²)

20w³=90

w³=45

w=1.65

C=(90/1.65)+10×1.65²

C=81.77

Therefore, a function in the variable w giving the cost C is 81.77 dollars.

To know more about volume, visit:

https://brainly.com/question/17615619

#SPJ4

Answer:

Y=45x

Step-by-step explanation:

Y = f(x)

If you plot a chart, you can find that relation is just a linear relation. So y = mx + c

By putting any one case into the equation, you can find c = 0 and m = 45

Retest the equation for other cases to ensure u are correct

Answer:

D

Step-by-step explanation:

$7.00 + $2.20*9 = $26.80

The solution of the system of equations f(x) = 2^x + 1 and g(x) = 3^x is x = 1

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

f(x) = 2^x + 1

g(x) = 3^x

The above expression is a system of exponential equations

We are required to solve by graph

That implies that we graph the equations in the system on the same plane and write out ordered pairs from the point of intersection of the equations in the system

Next, we plot the graph

See attachment for the graph of the equations

The ordered pairs of the intersection point is (1, 3)

Read more about equations at

https://brainly.com/question/148035

#SPJ1

Based on the provided voltage readings, the polarity of the single-phase transformer can be identified as follows: the dot notation represents the primary winding, while the numerical labels indicate the corresponding terminals.

The primary and secondary windings are denoted by L1 and L2, respectively. The polarities can be determined by observing the voltage readings across various terminal combinations.

To identify the polarity of a single-phase transformer, you can analyze the voltage readings obtained from different terminal connections. In this case, let's consider the given readings.

When measuring the voltage between L1 and L2, we obtain a reading of 121 volts. This indicates the voltage across the primary and secondary windings in the same direction, suggesting a non-reversed polarity.

Next, measuring the voltage between terminals 1 and 4 while connecting terminals 2 and 3 results in a reading of 26.47 volts. This implies that terminals 1 and 4 have the same polarity, while terminals 2 and 3 have opposite polarities.

Similarly, when connecting terminals 2 and 4 and measuring the voltage between terminals 1 and 3, a reading of 7.32 volts is obtained. This indicates that terminals 1 and 3 have the same polarity, while terminals 2 and 4 have opposite polarities.

For the combination of terminals 6 and 7, a voltage reading of 25.78 volts is measured between terminals 5 and 8. This suggests that terminals 5 and 8 have the same polarity, while terminals 6 and 7 have opposite polarities.

Lastly, when connecting terminals 5 and 7 and measuring the voltage between terminals 6 and 8, a reading of 5.42 volts is obtained. This indicates that terminals 6 and 8 have the same polarity, while terminals 5 and 7 have opposite polarities.

By considering the polarity relationships observed in these readings, we can conclude that the primary and secondary windings of the single-phase transformer have the same polarity. The dot notation indicates the primary winding, and the numerical labels represent the terminals.

To learn more about voltage readings visit:

brainly.com/question/31596039

#SPJ11

Answer:

S=32.5

W=97.5

Step-by-step explanation:

S=speed of plane in still air

W=speed of wind

-----------------------------------------

3(S+W)=130

6(S-W)=130

-----------------------------------------

S+W=43.33333...

S-W=21.66666...

2S=64.999...

S=32.5(simplified)

-----------------------------------------

32.5+W=130

W=97.5

-----------------------------------------

Answer:

There are 10 spelling questions and 5 vocab questions

Step-by-step explanation:

5 questions total

Total number of points: 100

Spelling questions are worth 5 and represented by x

Vocab questions are worth 10 and represented by y

Therefore:x+y=15

5x + 10y= 100

So: x+y=15

x = 15-y

5x +10y =100

5(15 -y) +10y =100

75 -5y +10y =100

75 +5y = 100

5y=25

y=5

x +y=15

x+5=15

x=10

Given that three charges (-25 nC, 79.1nC, and −55.9nC) are placed at three of the four corners of a square with sides of length 22.2 cm. We need to determine the value of the electric potential (in V) at the empty comer if the positive charge is placed in the opposite corner.

The formula for the electric potential at a point in space is given by;V = k [ (q1 / r1) + (q2 / r2) + (q3 / r3) + ….. ]where;k = Coulomb's constant (8.99 × 10^9 Nm²/C²)q1, q2, q3,…. are the charges at the cornersr1, r2, r3,…. are the distances from the corner to the point whose potential is being calculated Now we can calculate the electric potential at the empty corner as follows;The three charges can be represented as shown below:Charges at corners of a square

The distance from any corner to the opposite corner (where the positive charge is placed) is given by d = √[ (22.2 cm)² + (22.2 cm)² ] = 31.4 cmTherefore, the electric potential at the empty corner is given by;V = k [ (q1 / r1) + (q2 / r2) + (q3 / r3) ]Here, q1 = -25 nC, q2 = -55.9 nC, q3 = 79.1 nC, r1 = r2 = r3 = d = 31.4 cm = 0.314 mPlugging in the values we get;V = 8.99 × 10^9 [ (-25 × 10^-9 / 0.314) + (-55.9 × 10^-9 / 0.314) + (79.1 × 10^-9 / 0.314) ]= 8.99 × 10^9 [ -0.0795 - 0.1783 + 0.252 ]= 8.99 × 10^9 × 0.0052= 46.8 VTherefore, the value of the electric potential at the empty comer if the positive charge is placed in the opposite comer is 46.8 V.

To know more about square visit:

https://brainly.com/question/14198272

#SPJ11

Translating the word problem into algebraic equation, the number is determined as: x = 18.

Thus, translate the problem given into algebraic equation:

Let the unknown number be x.

"2 less than x" is x - 2

"6 more than x" is x + 6

Thus, if their ratio gives 2 to 3, therefore, the equation would be:

(x - 2)/(x + 6) = 2/3

3(x - 2) = 2(x + 6)

3x - 6 = 2x + 12

3x - 2x = 6 + 12

x = 18

Thus, translating the word problem into algebraic equation, the number is determined as: x = 18.

Learn more about algebraic equations on:

https://brainly.com/question/2164351

\(\text{Given that,}~ \text{center,(h,k)} = (-3,2)~ \text{and radius}~ r = 4\\\\\text{Equation of circle,}\\\\~~~~~~~(x-h)^2 +(y-k)^2 = r^2\\\\\implies (x+3)^2 +(y-2)^2 = 4^2\\\\\implies (x+3)^2 +(y-2)^2 = 16\)

The following can be used to rewrite the provided expression:            6(24) = 6(20 + 4).

The distributive Property states in that it is necessary to multiply every one of the two numbers by the factor before performing the addition operation when a factor is multiplied by that of the sum or addition of two terms. The distributive law, which states that in elementary algebra, equality is always true, is generalized by the distributive principle of binary operations.

The following generic form can be used to specify the distribution property:

a(b+c) = ab + bc

the following expression:

6(24)

We can observe the following by contrasting this to the general form:

a = 6

b + c = 24

Consequently, we must identify two integers from the options whose sum is 24.

These numbers, out of the options provided, are 20 and 4.

The following can be used to rewrite the provided expression:            6(24) = 6(20 + 4).

To know more about distributive property visit:

https://brainly.com/question/5637942

#SPJ4

Answer:

"A 270-degree counterclockwise rotation about the origin followed by a translation 1 unit to the left" should be the right answer.

Step-by-step explanation:

Solution:

Vertices of Preimage that is Triangle ABC =A(4,-2), B(3,-2),C(3,-5)

Vertices of image , i.e Δ A'B'C'=A'(1,2),B'(2,2), C'(2,5)

Now, transalation by 5 units left of triangle ABC takes it to

A(4,-2)=(4-5,-2)=(-1,-2)

B(3,-2)=(3-5,-2)=(-2,-2)

C(3,-5)=(3-5,-5)=(-2,-5)

When preimage is rotated through an angle of 180 degree, counterclockwise vertices of triangle (-1,-2),(-2,-2) and (-2,-5) goes to image A'(1,2),B'(2,2), C'(2,5).

Option C: A translation 5 units to the left followed by a 180 degree counterclockwise rotation about the origin takes ΔABC to  ΔA'B'C'.

Answer:

"A translation of 1 unit to the left after a 270 degree counterclockwise revolution about the origin"

Triangles vertices given and finding its image rotation:

Triangle ABC's vertices (A(4,-2), B(3,-2), and C) are the Preimage's vertices (3,-5)

Vertices of the picture, namely A'B'C'=A'(1,2), B'(2,2), and C' (2,5)

Triangle ABC is now translated by 5 units left, resulting in

A(4,-2)=(4-5,-2)=(-1,-2)

B(3,-2)=(3-5,-2)=(-2,-2)

C(3,-5)=(3-5,-5)=(-2,-5)

Counterclockwise vertices of triangles (-1,-2), (-2,-2) and (-2,-5) lead to images A'(1,2), B'(2,2), and C' when the preimage is rotated over an angle of 180 degrees (2,5).

Option C transforms ABC to A'B'C by moving it 5 units to the left and then 180 degrees in the opposite direction of the origin.

Components of a Triangle:

Each side of a triangle is one. Sides AB, BC, and CA make up the triangle ABC.

The angle of a triangle is represented by the symbol, and it represents the angle that any two of its sides may make. The angles in a triangle are three. ABC, BCA, and CAB are the three angles of the triangle ABC. B, C, and A are other names for these angles.

A vertex is a triangle's junction point of any two sides. Three vertices comprise a triangle. Vertices A, B, and C make up the triangle ABC.

A Triangle's Qualities:

A triangle's three internal angles can be added up to 1800 in any situation.

Any triangle's two longest sides added together will always be longer than the triangle's third side.

Half of the product of the base and height makes up the area of a triangle.

To know more:

https://brainly.com/question/953809

#SPJ2

Step-by-step explanation:

∠1 + 49° + 49° = 180°

∠1 = 180-98

Step-by-step explanation:

open the bracket

6={(1/5×4y) + 1/5×10}

6=4/5y+2

6-2=4/5y

4=4/5y

divide both sides by 4/5

y=1/5

The answer you are looking for is y=5.

Solution/Explanation:

Writing out the problem,

6=1/5(4y+10)

Using the Distributive Property,

6=4/5y+2

Subtracting 2 from both sides of the equation,

6-2=4/5y

4=4/5y

Multiplying both sides by 5, to transform the fraction into a whole number,

20=4y

Finally, dividing both sides by 4,

So, therefore the final answer is y=5.

The required probability that sam has to get change for the 10-dollar bill before he can buy his favorite toy is 6/7.

The fraction of favorable outcomes to the total number of outcomes of an event is said to be its probability of occurrence.

P(N) = n(N)/n(S)

N- an event; S- total outcomes;

It is given that,

n(s) = 8

So, the probability of buying the favorite toy first is 1/8

and the probability of buying the favorite toy a second is (1/8)(1/7) = 1/56

For these probabilities, Sam won't need to change the 10-dollar bill.

Then,

The probability that Sam has to get change for the 10-dollar bill before he can buy his favorite toy is

= 1 - Probability that he won't need to change

= 1 - (1/8 + 1/56)

= 1 - 1/7

= 6/7

Learn more about probability here:

https://brainly.com/question/24756209

#SPJ4

Disclaimer: The given question on the portal is incomplete. Here is the complete question.

Question: There is a machine with 8 toys in it that each costs between 25 cents and 2 dollars, with each toy being 25 cents more expensive than the next most expensive one. Each time Sam presses the big red button on the machine, the machine randomly selects one of the remaining toys and gives Sam the option to buy it. If Sam has enough money, he will buy the toy, the red button will light up again, and he can repeat the process. If Sam has 8 quarters and a ten-dollar bill and the machine only accepts quarters, what is the probability that Sam has to get change for the 10-dollar bill before he can buy his favorite toy- the one that costs $1.75? Express your answer as a common fraction.

Explanation:

To see which one is the closest approximation we can check their squares:

• 5² = 25

• 11² = 121

• 12² = 144

• 62²...well this one will be a big number, and it will be bigger than 144 so we don't need to find this square.

We can see that 11² is 3 units less than 124 and 12² is 20 units greater. Therefore, the closest number is 11.

Answer:

B. 11

The value of side length w is 13.75 .

Given right angled triangle,

Perpendicular = w

Hypotenuse = 17

Angle of triangle = 54°

So,

According to the trigonometric ratios,

tanФ = p/b

cosФ = b/h

sinФ = p/h

By using sinФ,

sinФ = p/h

sin 54° =  w/ 17

0.809 = w/17

w = 13.75 .

Thus after correction w will be 13.75

Know more about trigonometry,

https://brainly.com/question/25618616

#SPJ1

Answer:

Above is the answer, coupled with detailed step-by-step explanations. Thank you!

Answer:

Step-by-step explanation:

You want the quantities of 35% alcohol and 50% alcohol that must be mixed to get 12 gallons of 40% alcohol solution.

Let x represent the quantity of 50% alcohol in the mix. Then (12 -x) is the quantity of 35% alcohol solution. The total amount of alcohol in the final solution is ...

  0.50x +0.35(12 -x) = 0.40(12)

  0.15x = 0.05(12) . . . . . . . subtract 0.35(12)

  x = 4 . . . . . . . . . . . . divide by 0.15

  12 -x = 8 . . . . . quantity of 35% solution

8 gallons of 35% solution must be mixed with 4 gallons of 50% solution to make a 40% solution of alcohol.