The front of an A-frame house is in the shape of a triangle. The height of the house is 20 feet. The area of the front of the A-frame is 600 squared feet. Write and solve an equation to find the base of the A-frame house.

Answers

Answer 1

Area of a triangle is 1/2 x base x height.

You are given the area and the height, solve for the base:

600 = 1/2 x base x 20

Multiply both sides by 2:

1200 = base x 20

Divide both sides by 20:

Base = 1200/20

Base = 60 feet.

Answer 2

Answer: 60

A= 1/2BH

600=1/2b*20

20 / 2= 10

600/10=60


Related Questions

Draw a visual model to represent the following expectation: 5/6 divide by 3

Answers

Check the picture below.

If 120 million roses were sold on Valentine's Day, and 75% of the roses were red, how
many red roses were sold on Valentine's Day? Show your work.

Answers

Answer:

1,600,000

Step-by-step explanation:

120,000,000 divided by 75 is 1,600,000

Answer:

did the math its 90,000,000

thats how much 75% is

Step-by-step explanation:

As a smart consumer, you are always on the lookout for sales, coupons, and rebates. While shopping for new clothes, you notice that one particular brand of shirts is on sale for 20% off the original price. You also have a coupon for $10 off a $40 purchase. Coupons are applied after the 20% discount is taken. If each shirt originally costs $17.99, how many shirts would you need to buy to be able to use your coupon? Show your work

You’d have to buy 3 shirts, with the 20% off the shirts would come out to $14.39. So $14.39 x 3 = $43.17. Now with the $10 off a $40 purchase your total cost would be $33.17.

Answers

Answer:

You'd have to buy 3 shirts in order to use your coupon.

Step-by-step explanation:

Each shirt originally costs $17.99

One particular brand of shirts is on sale for 20% off the original price.

$17.99*0.2= $3.60 (amount taken off for each shirt)

Now subtract $3.60 from $17.99.

$17.99 - $3.60 = $14.39 (per shirt)

40 / 14.39 = 2.779 (round to 3)

You'd have to buy 3 shirts in order to use your coupon.

$14.39 * 3 = $43.17, in order to get $10 off you'd need to spend at least $40

Jason Ayers works as a lifeguard earning $8.75 an hour for 20 hours per week. What is Jason’s straight-time pay for the week?

Answers

Hey!

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

Straight-Time Pay - someone works the minimum and gets paid for working those hours. This person doesn't work any overtime hours.

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

Solution:

8.75 * 20 = 175

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

Answer:

Jason's straight-time pay for the week is $175!

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

Hope This Helped! Good Luck!

Answer:

Jason’s straight-time pay for the week is $175.

Step-by-step explanation:

Given : Jason Ayers works as a lifeguard earning $8.75 an hour for 20 hours per week.

To find : What is Jason’s straight-time pay for the week?

Solution :

Jason Ayers works as a lifeguard earning in an hour = $8.75

In a week Jason Ayers works for 20 hours.

i.e. Jason Ayers works as a lifeguard earning in 20 hour =[tex]\$8.75\times 20[/tex]

Jason Ayers works as a lifeguard earning in 20 hour = $175

Therefore, Jason’s straight-time pay for the week is $175.

If one gallon of gas costs $3.50 how much would 3,5, and 7 gallons cost?

Answers

3 gallons= 10.5
5 gallons= 17.5
7 gallons=24.5
Just multiply 3.50 by 3, 5 and 7.

HELP PLZ WITH HOMEWORK !!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

The sum of 3 + (-2) = 1 because it's just like 3 - 2

The sum of -6 + 3 = - 3 because the negative number is greater than positive number it's a negative.

For B you fill in Six negative, -6; three positive, 3. And you are left with three negative counters.

For A you are left with one positve counters.

A model of a baseball diamond is a square
with a perimeter of 36 in. What is the length
on the model from first base to third base?
(round to the nearest whole number)

Answers

Okay. So let’s break this down. We can solve this problem without a picture because it is a square. Therefore, all sides are the same. There are also four sides on a square. I have two ways to solve this problem.

One:
Divide 36 by 4 to know what each side is. 36/4 is 9. Since we are running from first to third, that is two sections of the field. Half of it. We would multiply 9 by 2. We get 18.

Two:
We know that from first to third is half the field. So we can do 36/0.5. This way, get 18

Answer: 18 inches

Write the equation of a line that is parallel to y = –
2 + 7 and that passes through the point (-4,1)

Answers

Answer:

y = -2x -7

Step-by-step explanation:

Plug in and Solve.

Which of the following appear in the diagram below?
Check all that apply.
A. ZXYZ
B.
c. W
D. ZYXZ

Answers

Please show the diagram so we are a plow to answer

The following is true in the diagram below:

∠XYZ

∠XYW

∠ZYW

[tex]\bar{YX}, \bar{YW}, \bar{YZ}[/tex]

Options A, B, and D are correct.

What is an angle?

The angles between two lines are the angles formed by two intersecting lines, measured in degrees or radians.

Several different types of angles can be formed between two lines, including acute angles, right angles, and obtuse angles.

We have,

From the diagram,

There are 3 angles:

∠XYZ

∠XYW

∠ZYW

And,

In geometry, a line that has a starting point and no endpoint is called a ray. A ray is part of a line that starts at a particular point called the endpoint and extends infinitely in one direction.

It is also sometimes referred to as a half-line.

Rays are commonly denoted by an arrow pointing in the direction of the infinite extension, with the endpoint letter given first.

There are 3 rays:

YX, YW, and YZ

Thus,

The following is true:

∠XYZ

∠XYW

∠ZYW

[tex]\bar{YX}, \bar{YW}, \bar{YZ}[/tex]

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Kieran has $45.00 to purchase supplies to paint the top of a square wooden platform for the school play. The paint roller costs $9.75, and the paint is $17.00 per can. If one can of paint covers approximately 375 square feet, what is the maximum possible length, in feet, of
one side of the wooden platform to the nearest tenth of a foot?
F. 27.3
G. 27.4
H. 27.5
J. 28.0
K. 28.1

Answers

Answer:

Option G. 27.4 ft

Step-by-step explanation:

step 1

Calculate the maximum number of cans of paint Kieran can buy with $45

Let

x -----> the number of cans of paint

we know that

The number of cans of paints multiplied by it cost plus the cost of a rooler paint must be less than or equal to $45

so

[tex]9.75+17.00x \leq 45[/tex]

Solve the inequality for x

Subtract 9.75 both sides

[tex]17.00x \leq 45-9.75[/tex]

[tex]17.00x \leq 35.25[/tex]

Divide by 17 both sides

[tex]x \leq 2.07\ cans[/tex]

so

The maximum number of cans that Kieran can purchase is 2 cans

step 2

Find the maximum area covered with 2 cans of paint

we know that

One can of paint covers approximately 375 square feet

therefore

To find out the area covered with 2 cans multiply 375 by 2

[tex]375(2)=750\ ft^2[/tex]

step 3

Find the maximum possible length side of the wooden platform

we know that

The wooden platform is in the shape of a square

so

The area of a square is

[tex]A=b^{2}[/tex]

where

b is the length side of the square

we have

[tex]A=750\ ft^2[/tex]

substitute and solve for b

[tex]750=b^{2}[/tex]

square root both sides

[tex]b=27.4\ ft[/tex]

5z ^ 3 - 2z ^ 4 - 9z ^ 2 + z What is the degree of the polynomial ?

Answers

Answer:

Step-by-step explanation:

For any polynomial, we can determine the degree by finding the variable with the largest exponent. For the given polynomial:

[tex]5z^{3} - 2z^{4} -9z^{2} + z[/tex]

we can see that [tex]-2z^{4}[/tex] contains the variable with the highest exponent, 4, so the degree of this polynomial is 4.

Answer:

4

Step-by-step explanation:

khan academy help

-4p + 19 = 11
please help me due tomorrow

Answers

Answer:

p=2

Step-by-step explanation:

−4p=11−19

−4p=−8

then you divide both sides by -4 and two negatives make a positive.

​​

PLEASE ANSWER BOTH ASAP THANKS

Answers

Answer:

a and c

Step-by-step explanation:

Hey!

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

Question #3:

The associative property is where you have an equation and you can switch the numbers and it will still equal the same.

Answer: c) (x + 3) + 7 = x + (3 + 7)

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

Question #4:

The distributive property is where you have an equation and you multiply each addend and add them up.

Answer: c) distributive

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

Hope This Helped! Good Luck!

Which is a possible benefit of having a good credit history?
having a checking account
low interest rate on a car loan
high interest rate on a credit card offer
bankruptcy

Answers

Answer:

low interest rate on a car loan

Answer:

B. low interest rate on a car loan

Evaluate 3{5+3[10+4•8]}​

Answers

The answer to your equation is 1008

Answer: 393

I answered on monarch and it came out right.

Suppose 0 is an angle in the standard position whose terminal side is in Quadrant 1 and sin 0= 84/85. Find the exact values of the five remaining trigonometric functions of 0

Answers

Answer:

Part 1) [tex]cos(\theta)=(\frac{13}{85})[/tex]

Part 2) [tex]tan(\theta)=\frac{84}{13}[/tex]

Part 3) [tex]cot(\theta)=\frac{13}{84}[/tex]

Part 4) [tex]sec(\theta)=\frac{85}{13}[/tex]

Part 5) [tex]csc(\theta)=\frac{85}{84}[/tex]

Step-by-step explanation:

we know that

Angle [tex]\theta[/tex] lie on Quadrant I

so

[tex]sin(\theta)[/tex] is positive

[tex]cos(\theta)[/tex] is positive

[tex]tan(\theta)[/tex] is positive

[tex]cot(\theta)[/tex] is positive

[tex]sec(\theta)[/tex] is positive

[tex]csc(\theta)[/tex] is positive

step 1

Find the value of  [tex]cos(\theta)[/tex]

we have

[tex]sin(\theta)=\frac{84}{85}[/tex]

we know that

[tex]sin^2(\theta)+cos^2(\theta)=1[/tex]

substitute

[tex](\frac{84}{85})^2+cos^2(\theta)=1[/tex]

[tex](\frac{7,056}{7,225})+cos^2(\theta)=1[/tex]

[tex]cos^2(\theta)=1-(\frac{7,056}{7,225})[/tex]

[tex]cos^2(\theta)=(\frac{169}{7,225})[/tex]

[tex]cos(\theta)=(\frac{13}{85})[/tex]

step 2

Find the value of [tex]tan(\theta)[/tex]

we know that

[tex]tan(\theta)=\frac{sin(\theta)}{cos(\theta)}[/tex]

we have

[tex]sin(\theta)=\frac{84}{85}[/tex]

[tex]cos(\theta)=(\frac{13}{85})[/tex]

substitute

[tex]tan(\theta)=\frac{(84/85)}{(13/85)}[/tex]

[tex]tan(\theta)=\frac{84}{13}[/tex]

step 3

Find the value of [tex]cot(\theta)[/tex]

we know that

[tex]cot(\theta)=\frac{1}{tan(\theta)}[/tex]

we have

[tex]tan(\theta)=\frac{84}{13}[/tex]

therefore

[tex]cot(\theta)=\frac{13}{84}[/tex]

step 4

Find the value of [tex]sec(\theta)[/tex]

we know that

[tex]sec(\theta)=\frac{1}{cos(\theta)}[/tex]

we have

[tex]cos(\theta)=(\frac{13}{85})[/tex]

therefore

[tex]sec(\theta)=\frac{85}{13}[/tex]

step 5

Find the value of [tex]csc(\theta)[/tex]

we know that

[tex]csc(\theta)=\frac{1}{sin(\theta)}[/tex]

we have

[tex]sin(\theta)=\frac{84}{85}[/tex]

therefore

[tex]csc(\theta)=\frac{85}{84}[/tex]

Write a subtraction problem involving two positive integers with a negative difference. Explain the relationship between the two integers that must exist for the difference to be negative.

Answers

Answer:

When both integers have the same value, the difference is zero. The difference between a positive and a negative integer can be positive or negative. When you subtract a negative integer from a positive integer, the difference is always positive this might help

Step-by-step explanation:

Write a subtraction problem involving two positive integers with a negative difference.

1) When you subtract a positive integer from a negative integer, the difference is always negative.

For example : [tex]-7 - 3 = -10[/tex]

2) When you subtract a larger positive integer from a smaller integer, the difference is always negative.

For example : [tex]5-7=-2[/tex]

3) When you subtract two negative integers and the first integer (or minuend) is smaller than the second integer (or subtrahend), the difference is negative.

For example : [tex]-8 - (-2) = -6[/tex]

Evaluate the expression when
a=7 and x = -6
a - 2x

Answers

Answer:

19

Step-by-step explanation:

7-2(-6) which would equal 7+12 because negative times negative is positive

Answer: 19

Step-by-step explanation:

7 + [(- 2) (-6)]

-2 * -6 = 12

7 + 12 = 19

A function is expressed by the equation y=0.3x−6. For what value of the independent variable will the value of the function be equal to −6; −3; 0?

Answers

Answer:

0; 10; 20

Step-by-step explanation:

x is the independent variable

y is the dependent variable

y is dependent on x

a) For what value of the independent variable will the value of the function be equal to −6

y=0.3x−6

-6 = 0.3x-6

0=0.3x

x = 0

Therefore, if the independent variable is 0, the value of the function will be -6.

b) For what value of the independent variable will the value of the function be equal to −3

y=0.3x−6

-3 = 0.3x-6

0.3x = -3+6

0.3x = 3

x = 3/0.3

x = 10

Therefore, if the independent variable is 10, the value of the function will be -3.

c) For what value of the independent variable will the value of the function be equal to 0.

y=0.3x−6

0=0.3x-6

6 = 0.3x

x = 6/0.3

x = 20

Therefore, if the independent variable is 20, the value of the function will be 0.

tins eats 8 crackers for a snack each day at school.on Friday,she drops 3 and only eats 5. multy​

Answers

Answer:

[tex]37[/tex]  [tex]crackers[/tex]

Step-by-step explanation:

Tins (or Tina)  ate 8 crackers for a snack  each day on school , then on Friday, she drops three and only eats 5.

Meaning that for 4 days, she ate 8 crackers not including Friday.

So meaning we have to multiply how many crackers she ate for those 4 days in total:

[tex]8 * 4[/tex]

[tex]==> 32[/tex]

Then on Friday, she only ate 5, so we add 5 for how many crackers she ate into how many we have right now:

[tex]32 + 5[/tex]

[tex]==> 37[/tex]

Final answer:

To find out how many crackers Tins ate on Friday, you can subtract the number of dropped crackers from the total number she normally eats.

Explanation:

In this question, the subject is mathematics and the grade level is middle school. The question asks about a student named Tins who eats 8 crackers for a snack each day at school. On Friday, she drops 3 crackers and only eats 5. To find out how many crackers she ate on Friday, we can subtract the number of dropped crackers from the total number she normally eats.

Number of crackers normally eaten: 8

Number of crackers dropped on Friday: 3

Number of crackers eaten on Friday: 8 - 3 = 5 crackers

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Solve —2|5w – 7 |+9=-7

Answers

The answer is w=3 and w=-1/5. Hope this helps!!!

Can u simplify
Radical 18?

Answers

rad 18 = rad 9x2
the square root of 9 is 3, so we keep that outside of the radical, left with 2 inside the radical.
the answer would be :
3 radical 2
hope this helped! x

Answer:

You can!

It's 2\sqrt{3\\

Step-by-step explanation:

18 = 2*9

\sqrt{18} = 2\sqrt{3\\

13/16 as a decimal rounded to the nearest tenth

Answers

Final answer:

The decimal equivalent of the fraction 13/16 is 0.8125. However, when you round this to the nearest tenth as the question specifies, you get 0.8.

Explanation:

To find the decimal equivalent of the fraction 13/16, you firstly divide 13 by 16. This will provide you with a decimal number. Then, since the question asks for the decimal to be rounded to the nearest tenth, you round the decimal number. To round, if the number on right of decimal is 5 or more, round up; if it's less than 5, round down. So 13 divided by 16 equals 0.8125, which when rounded to the nearest tenth gives you a result of 0.8.

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13/16 as a decimal rounded to the nearest tenth is 0.8.

To convert the fraction 13/16 to a decimal and round it to the nearest tenth, we can follow these steps:

First, divide 13 by 16. When you do this, you get 0.8125 because 13 ÷ 16 = 0.8125.Next, we round 0.8125 to the nearest tenth. To do this, look at the hundredths place (which is the second digit after the decimal point). Here, it’s 1. Since this digit is less than 5, we round down, keeping the tenths place the same.Therefore, 0.8125 rounded to the nearest tenth is 0.8.

I need answers for b and 4 (: <3

Answers

4: Geraldine wanted custom keychains. The store she went to has a service fee of 5 dollars, then 8 dollars per key chain. Geraldine payed 37 dollars. How many key chains did she buy?

(She bought 4 keychains)

As for b, I need to see question 3 in order to answer

The expression 8x+2 factored using GCF

Answers

Answer:

2* (4x + 1)

Step-by-step explanation:

8x = 2 * 2 *2 * x

2 = 2* 1

GCF = 2

8x+2  =  2*2*2*x + 2*1 = 2* (4x + 1)

Helppppp! Angles PTQ and STR are vertical angles and congruent. Circle T is shown. Line segments T P, T Q, T R, and T S are radii. Lines are drawn to connect the points on the circle and form secants P Q, Q R, R S, and S P. Angles P T Q and S T R are congruent. Which chords are congruent? QP and SR QR and PR and RS PR and PS

Answers

Answer:

[tex]\overline{QP} = \overline{SR}[/tex]

Step-by-step explanation:

Given: ∠PTQ ≅ ∠STR and TP, TQ, TR and TS are radii of the circle.

If  two angle are equal, then they are equal in size and their measurements are equal.

IF ∠PTQ ≅ ∠STR then they are also equal in their measurements.

Now, In ΔPTQ and ΔSTR

∠PTQ ≅ ∠STR  (vertically opposite angle)

[tex]\overline{TQ} \cong \overline{ST}[/tex]  (Radius of the circle are equal and congruent in length)

[tex]\overline{PT} \cong \overline{TR}[/tex]  (Radius of the circle)

∴ ΔPTQ ≅ ΔSTR (SAS postulate)

∴ [tex]\overline{QP}\cong \overline{SR}[/tex] (corresponding sides of congruent triangle are equal  and congruent).

You can use the fact that a closed figure made by connecting the adjacent end points of two equal and intersecting line segment is a rectangle.

Option A:  [tex]\overline{QP} \: \rm and \: \overline{SR}\\[/tex]correct choice since the line segment QP is and line segment SR are congruent.

Given that:

Angles PTQ and STR are vertical angle and congruent.Circle T(centered at T).Line segments TP, TQ, TR, and TS are radii.

How to find which lines are intersecting?

Since angle  PTQ and angle STR are congruent, thus we have:

PR and SQ as straight intersecting lines.

Due to angle PTS and angle QTR are opposite angles made by intersecting lines, we have them as congruent or say of equal measurement.

[tex]\angle PTS \cong \angle QTR[/tex]

Since [tex]\overline{TP} = \overline{TQ} = \overline{TR} = \overline{TS}[/tex], thus we have got:

[tex]\overline{PR} = \overline{SQ}[/tex] in measurement ( as PR is sum of PT and TR and same for SQ)

How is a rectangle made?

"A closed figure made by connecting the adjacent end points of two equal and intersecting line segment is a rectangle", we have PQRS as a rectangle.

As a rectangle have opposite sides parallel and equal, we have got:

[tex]\overline{PQ} \cong \overline{SR}[/tex]

Thus, Option A: [tex]\overline{QP} \: \rm and \: \overline{SR}\\[/tex] is the correct choice since the line segment QP is and line segment SR are congruent.

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Let [tex]i[/tex] be the imaginary unit.

What complex number in standard form does the following simplify to:

[tex]i^{425}+i^{14}+i^{-14}+i^{44}[/tex]

Basically you are being asked to find A and B such that the following equality holds for real values A and B:
[tex]A+Bi=i^{425}+i^{14}+i^{-14}+i^{44}[/tex]

You must show all work.
Have fun.

Answers

[tex]Hey~freckledspots!\\----------------------[/tex]

[tex]We~will~solve~for~i^{425}![/tex]

[tex]Rule~of~exponent: a^{b + c} = a^ba^c\\Apply:~i^{425}~=~i^{424}i\\ \\Rule~of~exponent: a^{bc} = (a^{b})^c\\Apply: i^{424} = i(i^2)^{212} \\\\Rule~of~imaginary~number: i^2 = -1\\Apply: i(i^2)^{212} = -1^{212}i\\\\Rule~of~exponent~if~n~is~even: -a^n = a^n\\Apply: -1^{212}i = 1^{212}i\\\\Simplify: 1^{212}i = 1i\\Multiply: 1i * 1 = i\\----------------------\\[/tex]

[tex]Now~let's~solve~1^{14}!\\\\Rule~of~exponent: a^{b + c} = a^ba^c\\Apply: i^{14} = (i^2)^7\\\\Rule~of~imaginary~number: i^2 = -1\\Apply: (i^2)^7 = -1^7\\\\Rule~of~exponent~if~n~is~odd: (-a)^n = -a^n\\Apply: -1^7 = -1^7\\\\Simplify: -1^7 = -1\\----------------------\\Now,~we~have: i-1+i^{-14}+i^{44}\\----------------------[/tex]

[tex]Now~lets~solve~i^{-14}\\\\Rule~of~exponent: a^{-b} = \frac{1}{a^b} \\Apply: i^{-14} = \frac{1}{i^{14}} \\\\Rule~of~exponent: a^{bc} = (a^b)^c\\Apply: \frac{1}{i^{14}} = \frac{1}{(i^2)^7}\\ \\Rule~of~imagianry~number: i^2 = -1\\Apply: \frac{1}{(i^2)^7} = \frac{1}{-1^7} \\\\Simplify: \frac{1}{-1^7} = \frac{1}{-1} \\\\Rule~of~fractions: \frac{a}{-b} = -\frac{a}{b} \\Apply: \frac{1}{-1} = -\frac{1}{1} = -1\\----------------------\\Now,~we~have: i-1-1+i^44\\----------------------[/tex]

[tex]Now~let's~solve~i^{44}!\\\\Rule~of~exponent: a^{bc} = (a^b)^c\\Apply: i^{44} = (i^2)^{22}\\\\Rule~of~imaginary~numbers: i^2 = -1\\Apply: (i^2)^{22} = -1^{22}\\\\Rule~of~exponent~if~n~is~even: (-a)^n = a^n\\Apply: -1^{22} = 1^{22}\\\\Simplify: 1^{22} = 1\\----------------------\\Now,~we~have~i-1-1+1\\----------------------[/tex]

[tex]Now~let's~simplify~the~expression!\\\\= i-1-1+1 \\= 1 + i -2\\= -1+i\\----------------------[/tex]

[tex]Answer:\\\large\boxed{-1+i}\\----------------------[/tex]

[tex]Hope~This~Helped!~Good~Luck![/tex]

Answer:

[tex]i - 1[/tex]

Step-by-step explanation:

Complex Number System Rules

[tex]\sqrt{-1} = i \\ -1 = {i}^{2} \\ -i = {i}^{3} \\ 1 = {i}^{4} [Every \: multiple \: of \: four][/tex]

The Divisibilty Rule of 4 states that the last two digits of a number must be a multiple of four, so you will have this:

[tex]{i}^{425} + {i}^{14} + {i}^{-14} + {i}^{44} \\ \\ i - 1 - 1 + 1 = i - 1[/tex]

I am joyous to assist you anytime.

You buy 50 of your favorite songs from a web site that charges $.99 for each song. What is the cost of 50 songs?

Answers

Answer: $49.5

Step-by-step explanation: If each song costs 0.99 cents then you multiply the number of songs you are buying by the cost. So that would be 0.99×50=49.5

What is 12 rounded to the nearest ten

Answers

10 because the number in the ones place is less than 5 which means u would go down to 10

Complete each family of facts.
5 5 10​

Answers

Answer:

1,5

1,5 and

1,2,5,10

Step-by-step explanation:

Other Questions
A certain car takes 30m to stop when it is traveling at 25m/s. If a pedestrian is 28m in front of this car when the driver starts braking (starting at 25m/s), how long does the pedestrian have to get out of the way? One positive number is three more than twice another. Their product is 119 Explain what the rule of law is and why it is important. The potential difference between A and B is 5.0 V. A proton starts from rest at A. When it reaches B what is its kinetic energy? (e = 1.60 x 10^-19 C) A patient is to receive 2 tablets po ACHS for 30 days. How many tablets should you dispense? DO NOT include units I need help with 25. Assume that aniline is insoluble in water. The normal boiling points of aniline and water are 184.1C and 100C respectively. At a pressure of I atm, the boiling point of a mixture of aniline and water is a) 184.1C b) 100C c) less than 100C d) greater than 100C but less than 184.1C. It seemed funny to me that the sunset she saw from her patio and the one I saw from the back steps was the same one. Maybe the two different worlds we lived in weren't so different. We saw the same sunset.Explain. A movie star catches a paparazzi reporter snapping pictures of her at home and claims that he was trespassing. He, of course denies the allegations. To prove her point, she submits as evidence the film that she confiscated. Her height of 1.75 m appears as an 8.25 mm high image on the film. Additionally, she submits that the camera that was used has a focal length of 210 mm. How far away was the reporter when he took the picture? (All the information that is given). In order to study hydrogen halide decomposition, a researcher fills an evacuated 1.11 L flask with 0.822 mol of HI gas and allows the reaction to proceed at 428C: 2HI (g) H2(g) + I2(g)At equilibrium, the concentration of HI = 0.055 M. Calculate Kc. Enter to 4 decimal places.HINT: Look at sample problem 17.6 in the 8th ed Silberberg book. Write a Kc expression. Find the initial concentration. Fill in the ICE chart. Put the E (equilibrium) values into the Kc expression. Find two consecutive integers whose sum is 373. 30 POINTS + BRAINLIEST FOR THE CORRECT ANSWER! Question:In the figure shown, line AB is parallel to line CD.Part A: What is the measure of angle x? Show your work. (5 points)Part B: Explain how you found the measure of angle x by identifying the angle relationships that you used along the transversal. (5 points)My work:x = 155 - 62 which leaves you with x being 53 (Credits to those who helped me in my previous asked question)That's all I could come up with which completes part A, if you know the answer to part B feel free to just answer part B! Part A is not needed but I added it there for those who need to see it. Write an algorithm that asks a user to enter a number between 1 and 10. (This range includes the numbers 1 and 10.) When they enter the number, check that it is actually between 1 and 10. If it is not, ask them to enter a number again. Continue to ask until they enter a valid number. Once their number is valid, output the number. (C++ form) Question 1In a research study of medication, group A is given medication and group B is given a sugar pill. Which type of group is B?experimental groupcontrol group What is writing that uses indirect or disguised methods in order to criticizesomething?A.satireB.allegoryC.parableD.Fable Ken drew a pair of intersecting rays and marked a angle between them. Which of these statements best compares the pair of intersecting rays with the angle?1) The rays and the angle have two endpoints each.2) The rays have the number lying on them, and the angle has only one point lying on it. 3) The rays extend infinity, and the angle is made by the rays,which have a common endpoint.4) The rays and the angles have their lines extending in opposite directions. During its most recent fiscal year, Raphael Enterprises sold 360,000 electric screwdrivers at a price of $19.80 each. Fixed costs amounted to $1,296,000 and pretax income was $1,656,000. What amount should have been reported as variable costs in the company's contribution margin income statement for the year in question?a. $7,128,000. b. $2,952,000. c. $5,472,000. d. $4,176,000. e. $2,880,000. pdf Suppose that the pound is pegged to gold at 20 per ounce and the dollar is pegged to gold at $35 per ounce. This implies an exchange rate of $1.75 per pound. If the current market exchange rate is $1.80 per pound, how would you take advantage of this situation? Hint: assume that you have $350 available for investment. Click on the boxes below to choose the correct root and its meaning.educatorroot:meaning: Use the laws of propositional logic to prove the following:(a) p q q p(b) p (p q) p(c) (p q) (p r) p (q r)