13 and 14 pls help :))

13 And 14 Pls Help :))

Answers

Answer 1

Answer:

1st and 2nd options

Step-by-step explanation:

Using the method of completing the square to obtain standard form

(13)

Rearrange the given equation so x and y terms are together, that is

x² + 24x + y² + 30y + 353 = 0 ( subtract 353 from both sides )

x² + 24x + y² + 30y = - 353

To complete the square

add ( half the coefficients of the x/ y term)² to both sides

x² + 2(12)x + 144 + y² + 2(15)y + 225 = - 353 + 144 + 225

(x + 12)² + (y + 15)² = 16

(x + 12)² + (y + 15)² = 4² ← in standard form

with centre = (- 12, - 15 ) and radius = 4

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

(14)

As in number 13

x² - 22x + y² + 16y = - 181

Complete the square

x² + 2(-11)x + 121 + y² + 2(8)y + 64 = - 181 + 121 + 64

(x - 11)² + (y + 8)² = 4

(x - 11)² + (y + 8)² = 2² ← in standard form

with centre = (11, - 8 ) and radius = 2


Related Questions

For what value of k (- 2 is a zero of the polynomial 3x² 4x 2k?

Answers

-2 is the zero of the polynomial 3x²+ 4x + 2k for the value of k equals to -2.

As given in the question,

Given polynomial is equal to :

3x²+ 4x + 2k

-2 is the zero of the given polynomial 3x²+ 4x + 2k

Compare with the standard quadratic equation ax² + bx + c

Let 'α' be the zero whose value is equal to -2.

And 'β' be the another zero.

Sum of the zeros of the polynomial = -b/ a

⇒ α + β = -4 / (3)

⇒α + β = -4/3 ___(1)

Product of the zeros = c/a

⇒αβ = 2k / 3

⇒(-2)β = 2k/3

⇒β = -k/3

Substitute the value of α and β in (1)

-2 + -k/3 = -4/3

⇒-k/3 = -4/3 + 2

⇒ -k/3 =2/3

⇒ k = -2

Therefore , the value of k for the given polynomial with the given condition is equal to -2.

The above question is incomplete , the complete question is :

For what value of k , - 2 is a zero of the polynomial 3x²+ 4x + 2k?

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A bakery sells muffins for $3. 50 each. A beverage is $1. 75. A class purchases 32 items and spends a total of $87. 50.

Answers

Answer:

Number of muffins= 18

Number of beverages= 14

Amount spent on muffins= $63

Amount spent on beverages= $24.50

Step-by-step explanation:

To find the number of muffins sold, we can first assume that all the 32 items purchased were beverages.

If the class bought 32 beverages,

Total spending

= 32($1.75)

= $56

Difference in total spending

= $87.50 -$56

= $31.50

The difference in the total spending is due to the number of muffins purchased that we had assumed they were beverages.

Difference in cost for each muffin vs beverage

= $3.50 -$1.75

= $1.75

Thus, for every incorrect assumption we made, the total spending will be $1.75 lesser than the actual amount.

Sets of wrong assumption

= $31.50 ÷$1.75

= 18

This means that out of the 32 items we previously assumed to be beverages, 18 were actually muffins. The remaining number of items were indeed beverages.

Number of muffins= 18

Number of beverages

= 32 -18

= 14

Amount spent on muffins

= 18($3.50)

= $63

Amount spent on beverages

= 14($1.75)

= $24.50

Total spending

= $63 +$24.50

= $87.50

S= n(n+1)/2 despejar para n

Answers

Por propiedades algebraicas, la ecuación de la variable n es función de la variable S es igual a n = - 1 / 2 ± (1 / 2) · √(1 + 8 · S).

¿Cómo despejar una variable en una ecuación?

En esta pregunta tenemos un ecuación donde la variable S en función de la variable n y debemos reescribir la expresión como una de la variable n en función de la variable S. Esto es posible mediante el uso de propiedades algebraicas. Primero, escriba la ecuación:

S = n · (n + 1) / 2

Segundo, utiliza la propiedad distributiva:

S = (n² + n) / 2

Tercero, aplica compatibilidad con la multiplicación, existencia del inverso multiplicativo y propiedad modulativa:

2 · S = n² + n

Tercero, construya una ecuación cuadrática:

n² + n - 2 · S = 0

Cuarto, utilice la fórmula cuadrática:

n = - 1 / 2 ± (1 / 2) · √[1² - 4 · (- 2 · S)]

n = - 1 / 2 ± (1 / 2) · √(1 + 8 · S)

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ason has 2 hours of free time. He spent 20 minutes playing outside, 25 minutes on his phone, and the rest of the time practicing his instrument. What percent of his time was spent playing his instrument?

Answers

Answer:

62.5%

Step-by-step explanation:

Split the time up into 5 minute slots. That gives us 24 slots of 5 minutes.

20/5=4 of the 5 minute slots playing outside

25/5=5 of the 5 minute slots on his phone

5+4=9 out of 24 slots spent

24-9=15 slots remaining to play his instrument

15/24x100=62.5% time playing instrument

Answer:62.5%

Step-by-step explanation:

Your class has 18 students. Exactly 23 of them say that science is the subject they like the most. Which model shows 23 of 18 circled?

Answers

12 students like science the most and can draw a model having 18 things out of which 12 are circled.

What is model in mathematics?

In order to create a forecast or offer insight, mathematical modelling is the act of developing a mathematical representation of a real-world phenomenon. Applying a formula and really creating a mathematical relationship are two different things.

Consider the provided information.

Your class has 18 students. Exactly 2/3 of them say that, out of all their subjects, they like science the most.

First calculate 2/3 of 18.

= (2/3) * 18

= 2 * 6

= 12

Hence, 12 students like science the most.

We can draw a model having 18 things out of which 12 are circled.

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How do you determine if a triangle is SSS SAS or ASA?

Answers

SSS Stands on Side - Side - Side

SAS Stands on Side - Angle - Side

ASA Stands for Angle - Side - Angle.

There are three theorems that may be used to determine whether two triangles are similar: Angle - Side - Angle (ASA), Side - Angle - Side (SAS), and Side - Side - Side (SSS).

SSS, which stands for "side, side, side," denotes that there are two triangles with identical angles on all three sides. The triangles are congruent if their third sides are the same as those of another triangle.

That is what the SAS regulation says. The triangles are congruent if the two sides and included angle of one triangle are the same as the two sides and included angle of another triangle. Any angle that is created by two specified sides is an included angle.

According to the ASA postulate of Euclidean geometry, two triangles are similar if their two corresponding angles are congruent and one side is equal to the corresponding side of the other triangles.

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Are there 2 answers to a quadratic equation?

Answers

The above quadratic equation has two solutions, as shown by the question Yes.

A quadratic equation is what?

A second-order polynomial equation with a single variable, x, is known as a quadratic equation.

ax2 + bx + c = 0 is a quadratic equation in standard form.

x stands for an unknown (an variable)

With respect to known numbers, a, b, and c, where a 0

The polynomial's number of solutions is influenced by the equation's highest possible power given in the question.

The roots or zeros of the expression on the left-hand side of the equation are the values of x that fulfill the equation.

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What are the 20 examples of idioms?

Answers

There are many common idioms. Following are the 20 idioms that is mostly used.

What is idiom?

An idiom is a collection of words with a figurative, extraneous meaning that cannot be understood from the individual words alone. Idioms frequently began with literal meanings but lost them when they strayed from their original context.

Write your favorite idiom.

Rome was not build in a day is my favorite idiom

Better late than never.Up in the airStabbed in the backTakes two to tangoKill two birds with one stonePiece of cakeCosts an arm and a legBreak a legUnder the weather.The ball is in your court.Spill the beans. Break a leg. Pull someone's leg. Sat on the fence. Through thick and thin. Once in a blue moon.Give someone the benefit of the doubt. Back to the drawing board.Get your act together. Hang in there

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(2x – 10) (x+6) = 0 solve the equation

Answers

2x^2-60 - Should be the answer, not too sure though?

Answer:

Therefore x is either 6 or 5.

Please help! My test is timed and im having trouble
Solve the following problem. It may be helpful to use draw a chart on scrap paper to organize the information and write the equation. Be sure to show all steps (V.E.S.T.) and work in order to receive full credit.

A grocer wants to make a 10-pound mixture of cashews and peanuts that he can sell for $3.64 per pound. If cashews cost $5.80 per pound and peanuts cost $2.20 per pound, how many pounds of each must he mix?

Answers

He will have to mix 3 pounds of cashews and 7 pounds of peanuts .

What is equation ?

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.

A mathematical statement known as an equation is made up of two expressions joined together by the equal sign. A formula would be 3x - 5 = 16, for instance. When this equation is solved, we discover that the value of the variable x is 7.

Let c be denoted as cashew and p be denoted as peanuts

c + p = 10  ⇒ (1)

5.6c + 2.3p = 3.29*10 ⇒ (2)

Multiply eq(1) by 560

Multiply eq(2) by 100

560c + 560p = 5600

560c + 230p = 3290

Subtract and solve for "p":

330p = 2310

p = 7  (amt. of peanuts needed)

substitute  the value of p in eq(1)

c + 7 = 10

c = 3  (amt. of cashews needed)

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you are playing a game with your friend to see who can make the most baskets from the free throw line. each of you has 5 shots at the basket. how many ways are there for you to make exactly 4 shots?

Answers

The probability of making exactly 4 shots is 4/5, in where 4 is outcomes Favour to me and 5 is total possible outcomes.

what is probability?

The probability is measured as the ratio of favorable outcomes of a particular event to the total possible outcomes of that event. The value of probability should be lies between 0 to 1.

what are favorable outcomes of an event?

The term favorable outcome uses to determine the probability in mathematics. It is the possibility of happening expected incident of a particular event.

the ways in how i can make exactly 4 shots in the game = my favorable outcomes/total possible outcomes

                                                             =4/5

hence, the result is 4/5.

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How do I do this question and I need answer please

Answers

Answer: x = 3/4

Step-by-step explanation:

1/3x + 3 = 4 - x

Subtract 3 from both sides

1/3x = 1 - x

Then times 3 from both sides

x = 3 - 3x

Add 3x on both sides

4x = 3

Divided by 4, both side

x = 3/4

25. The manager of a coffee shop has Costa Rican coffee that sells for $7 per pound and Kenyan coffee that sells for $10
per pound. The manager wishes to mix 80 pounds of the Kenyan coffee with the Costa Rican coffee to get a mixture that
will sell for SS per pound. How many pounds of the Costa Rican coffee should be used?

Answers

The Costa Rican coffee should be used is 160 pound.

What is a linear equation?

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."

Given that the cost of Costa Rican coffee that sells for $7 per pound and Kenyan coffee that sells for $10.

The cost of the mixture is $8.5 per pound.

Assume that the manager mixed 80 pounds of the Kenyan coffee with the x pound of the Costa Rican coffee to get a mixture.

The cost of 80 pound Kenyan coffee is $(80×10) = $800.

The cost of x pound Costa Rican coffee is 7x.

The cost of mixture coffee is (80 + x)8.5

According to the question:

800 + 7x = (80 + x)8

800 + 7x = 640 + 8.x

640 + 8x = 800 + 7x

x = 800 - 640

x = 160

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The cafeteria at Midtown Middle School surveyed 575 students about their favorite food. Find the number of students that responded for each of the following.

Chicken = 8%
**HINT: Take 8% of 575**

Which answer is correct?
46
8
57
460

Answers

Answer:

8% of 575 is 46

8% of 575 is 46

8% of 575 is 46

8% of 575 is 46

8% of 575 is 46

8% of 575 is 46

8% of 575 is 46

8% of 575 is 46

8% of 575 is 46

Please help. In plus only answer if know the answer

Answers

Answer:x-int=4 1/4   y-int=-5 1/3

Step-by-step explanation:[tex]4x-3y=17\\ +3y =+3y\\ 4x=3y+17\\4x/4=3y/4 +17/4\\x=\frac{3}{4}x+ 4 \frac{1}{4} \\\\4x-3y=17\\-4x=-4x\\-3y=-4x+17\\-3y/-3=-4x/-3+17/-3\\y=\frac{4}{3}x -5\frac{1}{3}[/tex]

A student uses a solution that contains 16 grams of water to conduct an evaporation experiment. At the end of one hour the amount of water in the solution has decreased by 3.5%

Answers

Answer:

Step-by-step explanation:

.035*16=.56 solution has decreased for this part

16 divided by 3.5⁶66677⁷54776367

Step-by-step explanation:

4_35665567

If 3x + 5y = 25, what is the value of 3x + 5y/5 =

Answers

Answer: 5

Step-by-step explanation: if you do something to one side of the equation, it has to be done to the other side.

in this case, they divided the left side (3x+5y) by 5

so so make both sides equal, you'd have to divide the right side (25) by 5 as well which would give you 5

Emma had to finish her 249-page novel by Friday. She had already read 166 pages. Write and solve an equation to show how many pages Emma had left to read by Friday.

p + 166 = 249; p = 83 pages
p − 166 = 249; p = 415 pages
p over 166 equals 2; p = 332 pages
83p = 166; p = 2 pages

Answers

Answer:

p + 166 = 249

p = 83 pages

Step-by-step explanation:

We know that she has to finish 249 pages novel and read 166.

So, let p represent the number of pages left to read; we have the equation

p + 166 = 249

Now let's solve by subtracting 166 from both sides

p = 83 pages

So, Emma had 83 pages left to read by friday

How do you find the mean grade 7?

Answers

We find the mean grade 7 by using formula Mean = ∑x / n

Where, ∑ represents the summation

x represents observations

n represents the number of observations .

What is mean?

In addition to the mode and median, the mean is one of the measurements of central tendency. Simply put, the mean is the average of the values in the given set. It indicates that values in a particular data set are distributed equally.

The total values provided in a datasheet must be added, and the sum must be divided by the total number of values in order to determine the mean.

By dividing the sum of the given numbers by the entire number of numbers, the mean (the average of the given numbers) is determined.

Mean = (Sum of all the observations/Total number of observations)

The mean in grade 7 is calculated by using formula Mean = ∑x / n

Where, ∑ represents the summation

x represents observations

n represents the number of observations .

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Help me with this I will give brainliest

Answers

Answer:

1) x = 29; m∠3 = 6º

2a) scalene

2b) acute

Step-by-step explanation:

1) We can first solve for m∠3, as it is supplementary to 174º.

174º + m∠3 = 180º

m∠3 = (180 - 174)º

m∠3 = 6º

Then, we can solve for x by setting the sum of the measures of the interior angles of the triangle to 180º.

m∠1 + m∠2 + m∠3 = 180º

↓ substitute in given and solved values

(3x + 2)º + (5x - 60)º + 6º = 180º

↓ combine like terms

8xº - 52º = 180º

↓ add 52 to both sides

8xº = 232º

↓ divide both sides by 8º

x = 29

2a) We know that this triangle is not equilateral, as the measure of one of its interior angles (m∠3) is 6º. However, the triangle may be isosceles if m∠1 = m∠2. We can check for that by substituting x into each angle measure expression.

m∠1 ≟ m∠2

(3x + 2)º ≟ (5x - 60)º

↓ substitute in x-value

3(29)º + 2º ≟ 5(29)º - 60º

↓ simplify

(87 + 2)º ≟ (145 - 60)º

89º ≠ 85º

m∠1 ≠ m∠2; the triangle is not isosceles. Therefore, it must be scalene.

2b) All of the triangle's angles are less than 90º. Hence, it is an acute triangle.

Draw a line representing the 'rise" and a line representing the "run" of the line. State
the slope of the line in simplest form.

Answers

Rise and Run of line's ratio gives the Slope of the line.

What is rise of line and run of line?

Rise of a line is the how many units you move up or down to reach from one point to another point. Run of a line is the how many units you move left or right to reach from one point to another.

>Slope of a line is the ratio of the rise to the run of the line.


Calculation:

Let us assume the graph of y = x.

Now in the graph we take three points

let point 1 be (3,3) = (x1,y1)

    point 2 be (5,5)= (x2,y2)

    point 3 be (5,3)= (x3,y3)

Now the rise is y2  -  y1 which is 2

Now the run is x2 - x1 which is 2

Slope is [tex]\frac{rise}{run}[/tex]  = [tex]\frac{2}{2} =1[/tex], we know that slope of line y=x is 1 and here we get the same so it is proved that slope of line is  [tex]\frac{rise}{run}[/tex] .

Rise and Run of line's ratio gives the Slope of the line.

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help me with this please

Answers

The evaluated value of the expression b² - 4ac when a = -2, b = -4 and c = 1 is 24.

How to evaluate expression?

To evaluate an algebraic expression means to find the value of the expression when the variable is replaced by a given number.

To evaluate an algebraic expression, you have to substitute a number for each variable and perform the arithmetic operations.

Therefore, let's evaluate b² - 4ac when a = -2, b = -4 and c = 1.

Hence,

b² - 4ac = (-4)² - 4(-2)(1) = 16 + 8 = 24

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jason sampled 60 smokers who were questioned about the number of hours they sleep each day. jason wants to test the hypothesis that the smokers need less sleep than the general public which needs an average of 7.5 hours of sleep with a population standard deviation of 0.7 hours. z equals fraction numerator x with bar on top minus mu over denominator begin display style fraction numerator sigma over denominator square root of n end fraction end style end fraction if the sample mean is 7.2 hours, what is the z-score? answers are rounded to the hundredths place.

Answers

The z-score of the sample research is calculated as; -3.32

What is the z-score of the distribution?

We are given the formula for z-score as;

z = (x-bar - μ)/(σ/√n)

where;

x-bar is sample mean

μ is population mean

σ is population standard deviation

We are given;

Population mean; μ = 7.5 hours

Sample mean; x-bar = 7.2 hours

population standard deviation; σ = 0.7 hours

sample size; n = 60

Thus;

z-score = (7.2 - 7.5)/(0.7/√60)

z-score = -0.3/0.0903696

z-score = -3.32

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Determine which integer in the solution set will make the equation true.

t − 72 = −12
S: {−84, −60, 6, 60}

60
6
−60
−84

Answers

Answer:

60

Step-by-step explanation:

Adding [tex]72[/tex] to both sides yields [tex]t=72-12=60[/tex].

Answer:

[tex] \sf \: a) \: 60[/tex]

Step-by-step explanation:

Now we have to,

→ find the required value of t.

The equation is,

→ t - 72 = -12

Then the value of t will be,

→ t - 72 = -12

→ t = -12 + 72

→ [ t = 60 ]

Hence, the value of t is 60.

D
.0
A
58d
B
A, B, C and D are points on a circle, centre O.
Angle ABC = 58°
Calculate the size of angle ADC.
(1 mark)
Diagram NOT
accurately drawn

Answers

Answer:

∠ ADC = 122°

Step-by-step explanation:

ABCD is a cyclic quadrilateral.

opposite angles in a cyclic quadrilateral sum to 180° , that is

∠ ADC + ∠ ABC = 180∠

∠ ADC + 58° = 180° ( subtract 58° from both sides )

∠ ADC = 122°

2/9 x 1/3 =


Enter your answer as a mixed number in simplest form

Answers

Answer:

2 / 27

Step-by-step explanation:

2/9 * 1/3   =  (2*1) / (9*3) = 2/27

Solving Systems by Substitution


y=-4
y=-2x-20

Answers

Step-by-step explanation:

To solve a system of equations by substitution, you can solve one of the equations for one of the variables and substitute this expression into the other equation. This will give you an equation with only one variable, which you can then solve to find the value of that variable. You can then substitute this value back into one of the original equations to find the value of the other variable.

In this case, the given system of equations is:

y = -4

y = -2x - 20

Since the second equation is already in the form y = ..., we can substitute the expression for y from the second equation into the first equation:

-4 = -2x - 20

Solving this equation for x, we get:

x = -12

Substituting this value of x back into the second equation, we get:

y = -2(-12) - 20

= 24 - 20

= 4

Therefore, the solution to the system of equations is (x, y) = (-12, 4).

Answer:

x = -8

Step-by-step explanation:

-2x - 20 = -4

-2x = 16

x = -8

In a series of transformations, which transformation would make two figures similar as opposed to congruent? answer choices.
a. translation
b. dilation.
c. reflection.
d. rotation.

Answers

A: dilations

Reasoning:

By definition, translations, rotations, and reflections preserve the congruence and collinearity of points on figures transformed from the pre-image to the image. This means that the transformed figure has the exact same dimensions: congruent angles, sides, location of points. On the other hand, dilations are a type of transformation that create similar figures. Similar figures are proportional, so they have congruent angles, and thus they are the same shape, but their side lengths are proportional. So, they look like a copy of the original figure, but either enlarged or reduced by a factor, called the scale factor or “k.”

Please help I will give brainliest

Answers

Answer:

cos(x) = r/t

sin(x) = s/t

tan(x) = s/r

Step-by-step explanation:

Background info:

This question becomes simple when we remember SohCahToa.

Soh stands for Sine = Opposite/ Hypotenuse

Cah stands for Cosine = Adjacent/ Hypotenuse

Toa stands for Tangent = Opposite/ Adjacent

Solving:

1. Cosine of angle x (think Cah)

The adjacent side is r and the hypotenuse is t.

so the answer is r/t

2. sine of angle x (think Soh)

The opposite side is s and the hypotenuse is t.

so the answer is s/t

3. Tangent of angle x (think toa)

The opposite side is s and the adjacent side is r.

so so the answer is s/r

What is the relationship between volume and surface area?

Answers

The surface area of any particular thing is the area or region that the object's surface occupies. Volume, on the other hand, is the quantity of space accessible in an object. There are several forms and sizes in geometry, such as the sphere, cube, cuboid, cone, cylinder, and so on. Each form has both a surface area and a volume.

What is area?

The area amount denotes the size of a region on a flat or curved surface. The area of an open surface or the boundary of a three-dimensional object is referred to as surface area, whereas the area of a plane region or plane area refers to the area of a shape or planar lamina. The area is the region determined by the shape of an item. The area of a form is the space in a plane covered by a figure or other two-dimensional geometric object.

Here,

The surface area of any given thing is the area or region occupied by the object's surface. Volume, on the other hand, refers to the quantity of space accessible in an object. Shapes and sizes in geometry include the sphere, cube, cuboid, cone, cylinder, and so on. Each form has a surface area as well as a volume.

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Other Questions
PLZZ HELPP ILL GIBE BRAINLIST The king or queen serves a ceremonial role and the people elect aParliament to make lawsA)Autocracy B) representative democracy C)constitutional mirarchy D) absolute monarchy 14kmFind the area of the triangle.A)52 km2B)84 km2C)168 km2D)336 km2 Romeo and Juliet: List at least THREE key events that happen in Act II of the film QUADRATIC EQUATIONS HELP 1) When Samuel goes to school, he has to walk 480 yards east of his house and then 360 yards south to arrive to his school. How far does he have to walk to get to school from his house? If he decides that he will cut his distance by going across a park directly from his house to school how far will he have to walk? By how much is it shorter to go across the park then going around the park?In your picture, you should have the house, the school, the path from the house to school around the park and path from the house to school across the park. Label the path around the park with their values. Label the path across the park with a variable. The path across the park and the path around the park form a right triangle with the right angle between the two parts of the path around the park. Label the right angle. Since the paths form a right triangle, you can use Pythagorean theorem to find the distance from the house to school across the park. The general Pythagorean formula is a2 + b2 = c2 where a and b represent the legs and c represents the hypotenuse.Once you find the distance, find out the total distance Samuel has to travel around the park. Then you will be able to find out by how much farther it to go around the park.2) A 100 feet tower needs an anchor line. For the tower to be stable, the anchor line has to be attached to the top of the tower with its other end on the ground 32 feet from the tower. How long has to be the anchor line for the tower to be stable? Sketch the picture of the tower, the anchor line and the distance from the tower. You will form a right triangle with the right angle between the tower and the ground. Label the height of the tower and the distance from the tower. Label the length of the anchor line with a variable. Label the right angle. Again, you will use the Pythagorean formula. Follow the same procedures related to working with Pythagorean formula as you did in question 1.3) You want to buy a new tv. In a store, you see a tv that you like with a diagonal of 20 inches and length of 16 inches. Will this tv fit on a shelf that is 13 inches high? Sketch the picture of the frame of the tv. Draw the diagonal of the tv. Label the diagonal and the length of the tv. To find out if the tv fits on the shelf, you will have to find the height of the tv. The diagonal of the tv and its length and height form a right triangle with the right angle between the length and the height of the tv. Label the right angle. Again, you will use the Pythagorean formula. Follow the same procedures related to working with Pythagorean formula as you did in question 1. Once you find the height of the tv, explain whether it will fit on the shelf or not and why. PLEASE PLEASE HELP! No websites please! What Is the difference between the number of students who earned a score 90 or greater In class 2 and the number of students who earned a 90 or greater in class 1 What is the length of FG?(Picture of Question Below!)A. 1.2B. 3C. 3.6D. 4 ( IT IS NOT D!)E. 6 Question 1 of 5Which present-day state did the United States gain as part of the Treaty ofGuadalupe Hidalgo?A. CaliforniaB. LouisianaC. OklahomaD. OregonSUBMIT A 3kg horizontal disk of radius 0.2m rotates about its center with an angular velocity of 50rad/s. The edge of the horizontal disk is placed in contact with a wall, and the disk comes to rest after 10s. Which of the following situations associated with linear impulse is analogous to the angular impulse that is described?a. A 3kg block is initially at rest. An applied force of 3N is applied to the block, but the block does not move.b. A 3kg block is initially at rest. A net force of 3N is applied to the block until it has a speed of 10m/s.c. A 3kg block is initially traveling at 10m/s. An applied force of 3N is applied to the block in the direction of its velocity vector for 10s.d. A 3kg block is initially traveling at 10m/s. The block encounters a 3N frictional force until the block eventually stops. HELP WITH THIS PLEASE!!! What is the function of the digestive system?A. Removal of liquid wasteB. Maintain body temperature and hormone levelsC. Delivers food to your brainD. Changes food into minerals and nutrients that are absorbed intobloodstream A substantiated opinion is best supported bypersonal opinions.individual thoughts.expert opinions.common beliefs. The diagram on the left shows the layers of Earth's atmosphere and how temperature changes with altitude. The diagram on the right shows the layers of Venus' atmosphere and how temperature changes with altitude. Both diagrams indicate the altitude below which 90% of each atmosphere's mass is located.According to the diagrams, which of the following statements is true? A. 90% of the mass of Venus' atmosphere is within 10 km of the surface. B. The upper part of Venus' troposphere is about 200C colder than the upper part of Earth's. C. Venus' troposphere is several times thicker than Earth's troposphere. 6. What aspect of the Compromise of 1850 was attractive to the South? Marcelino Co.'s March 31 inventory of raw materials is $84,000. Raw materials purchases in April are $580,000, and factory payroll cost in April is $387,000. Overhead costs incurred in April are: indirect materials, $59,000; indirect labor, $28,000; factory rent, $32,000; factory utilities, $20,000; and factory equipment depreciation, $52,000. The predetermined overhead rate is 50% of direct labor cost. Job 306 is sold for $680,000 cash in April. Costs of the three jobs worked on in April follow: Job 306 Job 307 Job 308 Balances on March 31 Direct materials $30,000 $41,000 Direct labor 23,000 16,000 Applied overhead 11,500 8,000 Costs during April Direct materials 139,000 200,000 $115,000 Direct labor 103,000 150,000 104,000 Applied overhead ? ? ? Status on April 30 Finished (sold) Finished (unsold) In process Required:a. Determine the total of each production cost incurred for April (direct labor, direct materials, and applied overhead), and the total cost assigned to each job (including the balances from March 31).b. Prepare journal entries for the month of April to record the above transactions.c. Prepare a schedule of cost of goods manufactured.d. Compute gross profit for April 50 points Awarded Simplify the following expression: 3 *3 (4) *2 2 *6 (3) *5P.P is Subscript Warren is making trail mix to keep in his cupboard as a snack. He makes his usual recipe, but then decides to put some peanuts and almonds in the mix. If he adds p cups of peanuts and a cups of almonds, then the total number of cups of trail mix he makes will be 10+p+a. Warren adds 2 cups of peanuts and 1 cup of almonds.How many cups of trail mix did Warren make? the rate of the Earth's and moon's rotation and revolution constant? Someone help are these prepositions or not