Find the volume (in cubic yards) of a cylinder with radius 1.2 yards and height 2.9 yards. (Round your answer to one decimal place.)

Answers

Answer 1

Answer:

11.8 yd³

Step-by-step explanation:


Related Questions

Which statement is true?

A. All parallelograms are rectangles.
B. All parallelograms are quadrilaterals.
C. All quadrilaterals are parallelograms.
D. All rectangles are squares.

Answers

Answer:

A parallelograms are rectangles

Answer:

B.All parallelograms are quadrilaterals.

Step-by-step explanation:

A. Not all parallelograms are rectangles but all rectangles are parallelograms

C. Not all quadrilaterals are parallograms, for example the trapizoid isnt a parallogram but it is a rectangle

D. Not all rectangles are squares because they don't all have 4 equal side lengths. But all squares are rectangles

The vertical test line

Answers

Step-by-step explanation:

The vertical line test is a graphical method of determining whether a curve in the plane represents the graph of a function by visually examining the number of intersections of the curve with vertical lines. and, as a result, any vertical line in the plane can intersect the graph of a function at most once.

hope it helpsstay safe healthy and happy....

Answer:

It is a graphical method

. A real estate company charges a base amount of $ 400 plus 3 % of the selling price to sell a house. If a house sells for $ 250, 000. How much will the agent charge? *

Answers

Answer:

400 + .03(250,000) = $7900

Step-by-step explanation:

solve the following by factolisation formula
1. x(2x+1)=0
2.4xsquere-11-3x=0​

Answers

1.

X = 0

2x + 1 = 0

X = 0

X = - ½ (Because we brought the numbers from one side to the other)

2.

Not sure for number 2.

1. x(2x+1)=0
It means x=0 or 2x+1=0. So
x=0

2x+1=0
2x=-1
x=-1/2


2.

➡️. 4x^2-3x-11=0
(It must take the form of ax^2+bx+c=0)

4x^2-3x=11
➡️ 4x^2-3x+9/4=11+9/4 ( you take the half of the number of 3 from 3x and square it. The half of 3 is 3/2 and when you square it becomes 9/4.)

➡️ 4x^2-3x+9/4=31/4

➡️. [4x^2-3/2]=31/4
( You put 9/4 in square root first. That means 3/2. since 3x is negative you also take negative for 3/2.)

➡️ 4x^2-3/2= positive or negative 31/4.

➡️. 4x^2=31/4+3/2

➡️. 4x^2= 37/4

➡️. x^2= 37/8

➡️. x= the square root of 37/8



-5(4-n)=1+2n
Anyone know this

Answers

Answer:

n= -10

Step-by-step explanation:

-20+n=1+2n which simplifies to -21n+n=2n which simplifies to -20n=2n which simplifies to

n= -10

Which function is the result of translating f(x)=x^2+14 to the right 5 units and down 6 units

Answers

Answer: F(x)= (x^2 -5) -8

Given that m∠abc=70° and m∠bcd=110°. Is it possible (consider all cases): Line AB intersects line CD?

Answers

The line AB and CD are parallel. Then it is impossible that the line AB intersects the line CD.

What are parallel lines?

When the distance between the lines is constant, then the lines are called parallel lines. The lines do not intersect when they are separated from each other. And the slope of the lines is equal.

Given that ∠ABC = 70° and ∠BCD = 110°.

Then the line AB and the line CD makes the same angle with the line BC.

Hence, the line AB and CD are parallel.

Then it is impossible that the line AB intersects the line CD.

More about the parallel lines link is given below.

https://brainly.com/question/16701300

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How do I do this equation

Answers

This question requires the manipulation of the Ideal Gas formula. By moving the variables around, you'll get :

V = nRT/P

n = PV/RT

I want my answer please help​

Answers

Answer:

This is pretty simple

Step-by-step explanation:

So the only thing you need to know about negatives and positives is that if your multiplying or dividing a number with 1 negative in the expreession/equation The answer will always result in a negative. If its 2 negatives its always positive. Thats all you need to know and then just solve it from there.

Answer:

See explanation and picture below.

Step-by-step explanation:

In both multiplication and division of 2 numbers, different signs give you negative and equal signs give you positive.

In other words, positive & positive or negative and negative give you a positive answer.

Negative and positive or positive and negative give you negative answer.

What is the lateral area of a cone with radius 19 cm and slant height 11 cm?

a. 19[tex]\pi[/tex] cm²
b. 30[tex]\pi[/tex] cm²
c. 200[tex]\pi[/tex] cm²
d. 209[tex]\pi[/tex] cm²

Answers

Answer:

The answer is 209 pi cm^2

L.A.(Lateral Area) = π19×11 = 209 π

The lateral area of the given cone with a raidus of 19 cm and a slant height of 11 cm is: D. 209π cm²

What is the Lateral Area of a Cone?

Lateral area of a cone = πrL, where r is the radius and L is the slant height of the cone.

Given the following:

Slant height (L) = 11 cmRadius (r) = 19 cm

Lateral area of a cone = π(19)(11)

Lateral area of a cone = 209π cm²

Learn more about lateral area of a cone on:

https://brainly.com/question/61056

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Suppose 49% of American singers are Grammy award winners. If a random sample of size 502 is selected, what is the probability that the proportion of Grammy award winners will differ from the singers proportion by greater than 4%

Answers

Answer:

0.0726 = 7.26% probability that the proportion of Grammy award winners will differ from the singers proportion by greater than 4%

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

Suppose 49% of American singers are Grammy award winners.

This means that [tex]p = 0.49[/tex]

Sample of size 502

This means that [tex]n = 502[/tex]

Mean and standard deviation:

[tex]\mu = p = 0.49[/tex]

[tex]s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.49*0.51}{502}} = 0.0223[/tex]

What is the probability that the proportion of Grammy award winners will differ from the singers proportion by greater than 4%?

Proportion below 49% - 4% = 45% or above 49% + 4% = 53%. Since the normal distribution is symmetric, these probabilities are equal, so we find one of them and multiply by 2.

Probability the proportion is below 45%

p-value of Z when X = 0.45. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{0.45 - 0.49}{0.0223}[/tex]

[tex]Z = -1.79[/tex]

[tex]Z = -1.79[/tex] has a p-value of 0.0363.

2*0.0363 = 0.0726

0.0726 = 7.26% probability that the proportion of Grammy award winners will differ from the singers proportion by greater than 4%

The following is a list of costs that were incurred in producing book:
a. Insurance on the factory building and equipment
b. Salary of the vice president of finance
c. Hourly wages of printing press operators during production
d. Electricity used to run the presses during the printing of the Book.
e. Sales commissions paid to book representatives for each book sold
f. Paper on which the text is printed
g. Book covers used to bind the pages
h. Straight-line depreciation on an office building
i. Salaries of staff used to develop artwork for the text
j. Glue used to bind pages to cover
Instructions: With respect to the manufacture and sale of this text, classify each cost as either a product cost or a
period cost. Indicate whether each product cost is a direct materials cost, a direct labor cost, or a factory overhead
cost. Indicate whether each period cost is a selling expense or an administrative expense.

Answers

its B Salary of the vice president of finance
Yep yep looks right

The Happy Widget Company has a fixed cost of $1,163 each day to run their factory and a variable cost of $1.69 for each widget they produce.

Create a linear model for their daily cost.

How much does it cost them to produce 288 widgets?

Round your answer to the nearest cent.

Answers

Assuming one widget is $1.69, and they want to know how much it would cost to produce 288, you would simply need to multiply 16.9 by 288.
Final answer: 486.72 dollars

HOPE THIS HELPS

Directions: Find each missing measure

Answers

Answer:

Q9: x = 27, Q10: x = 17

Step-by-step explanation:

Identify the type of sampling used​ (random, systematic,​ convenience, stratified, or cluster​ sampling) in the situation described below. A man is selected by a marketing company to participate in a paid focus group. The company says that the man was selected because his name is among the first 200 in the phone number listings. Which type of sampling did the marketing company​ use?
A. Systematic sampling
B. Cluster sampling
C. Random sampling
D. Stratified sampling
E. Convenience sampling

Answers

Answer: convenience sampling

Step-by-step explanation:

Convenience sampling is also referred to as opportunity sampling or accidental sampling and it occurs when a sample is selected from the population that is convenient and close to hand for the researcher. It's usually used during pilot testing.

Convenience sampling is such that the primary data source that are first available will be used for the research without any additional requirements being made.

A line includes the points (0,2) and (1,6).
What is the equation of the line in slope-intercept form?

Answers

y=4x+2. To get slope you use 6-2/1-0. Which gives you 4. You then put that in point slope form.

A town recently dismissed 5 employees in order to meet their new budget reductions. The town had 4 employees over 50 years of age and 16 under 50. If the dismissed employees were selected at random, what is the probability that no more than 1 employee was over 50

Answers

Answer:

0.7513 = 75.13% probability that no more than 1 employee was over 50

Step-by-step explanation:

The employees are chosen from the sample without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x successes is given by the following formula:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

In which:

x is the number of successes.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In this question:

4 + 16 = 20 employees, which means that [tex]N = 20[/tex]

4 over 50, which means that [tex]k = 4[/tex]

5 were dismissed, which means that [tex]n = 5[/tex]

What is the probability that no more than 1 employee was over 50?

Probability of at most one over 50, which is:

[tex]P(X \leq 1) = P(X = 0) + P(X = 1)[/tex]

In which

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]P(X = 0) = h(0,20,5,4) = \frac{C_{4,0}*C_{16,5}}{C_{20,5}} = 0.2817[/tex]

[tex]P(X = 1) = h(1,20,5,4) = \frac{C_{4,1}*C_{16,4}}{C_{20,5}} = 0.4696[/tex]

Then

[tex]P(X \leq 1) = P(X = 0) + P(X = 1) = 0.2817 + 0.4696 = 0.7513[/tex]

0.7513 = 75.13% probability that no more than 1 employee was over 50

answer please I’m dying from math

Answers

Answer:

[tex]\huge\boxed{\text{D)} \ 15x^4 + 2x^3 - 8x^2 - 22x - 15}[/tex]

Step-by-step explanation:

We can solve this multiplication of polynomials by understanding how to multiply these large terms.

To multiply two polynomials together, we must multiply each term by each term in the other polynomial. Each term should be multiplied by another one until it's multiplied by all of the terms in the other expression.

We can do this by focusing on one term in the first polynomial and multiplying it by all the terms in the second polynomial. We'd then repeat this for the remaining terms in the second polynomial.

Let's first start by multiplying the first term of the first polynomial, [tex]3x^2[/tex], by all of the terms in the second polynomial. ([tex]5x^2+4x+5[/tex])

[tex]3x^2 \cdot 5x^2 = 15x^4[/tex] [tex]3x^2 \cdot 4x = 12x^3[/tex] [tex]3x^2 \cdot 5 = 15x^2[/tex]

Now, we can add up all these expressions to get the first part of our polynomial. Ordering by exponent, our expression is now

[tex]\displaystyle 15x^4 + 12x^3 + 15x^2[/tex]

Now let's do the same with the second term ([tex]-2x[/tex]) and the third term ([tex]-3[/tex]).

[tex]-2x \cdot 5x^2 = -10x^3[/tex]  [tex]-2x \cdot 4x = -8x^2[/tex] [tex]-2x \cdot 5 = -10x[/tex] Adding on to our original expression: [tex]\displaystyle 15x^4 + 12x^3 - 10x^3 + 15x^2 - 8x^2 - 10x[/tex]

[tex]-3 \cdot 5x^2 = -15x^2[/tex] [tex]-3 \cdot 4x = -12x[/tex] [tex]-3 \cdot 5 = -15[/tex] Adding on to our original expression: [tex]\displaystyle 15x^4 + 12x^3 - 10x^3 + 15x^2 - 8x^2 - 15x^2 - 10x - 12x - 15[/tex]

Phew, that's one big polynomial! We can simplify it by combining like terms. We can combine terms that share the same exponent and combine them via their coefficients.

[tex]12x^3 - 10x^3 = 2x^3[/tex] [tex]15x^2 - 8x^2 - 15x^2 = -8x^2[/tex] [tex]-10x - 12x = -22x[/tex]

This simplifies our expression down to [tex]15x^4 + 2x^3 - 8x^2 - 22x - 15[/tex].

Hope this helped!


If BC = 8.3, CD - 6,7, and AD = 11.6, find AB to the nearest tenth.

Answers

Answer:

ab=14.4

Step-by-step explanation:

This is going to be tricky to explain over text, so try to bear with me :) You have the information given above. Let's start with just ad = 11.6 for now. since these are variables, it can also be understood be understood as a times d= 11.6.  Knowing this, we can figure out that d = 11.6/a, when you divide both sides by a. You now have d, so plug (11.6/a) into cd=6.7. You have to do the same thing you did last time, except this time you are aiming to get c by itself. So, multiply both sides by a/11.6 and you get c = (6.7a)/ 11.6.  Guess what, you know c now! so you put (6.7a)/11.6 in for c in the equation given to you earlier, bc =8.3. The math gets a bit messy here, but you basically solve for b here, which, when you crunch the numbers down, ends up being ~14.3705 divided by a. You are looking for ab, so just multiply both sides by a, and round to the nearest tenth so that you have ab= 14.4  

Celia was a contestant on Jeopardy. At the
beginning of the round her score was -40.
Celia's score at the end of the round was -
35. How many points did Celia score (or
lose) during the round?

Answers

She scored 5 points during the round! Mark me as brainliest! :)

Answer:

75

Step-by-step explanation:

She is in the negatives right now so add 40 to get Celicia points equal to 0. Then add an extra 35 points (which is what she ended with). Overall, she gained 75 points to end with 35.

Camille bought a set of kitchen chairs discounted 25% off of the original price of $170. What was the dollar amount of discount of the set of chairs?

Answers

The answer is 127.5. Hope this helps.

Answer:

$42.50

Step-by-step explanation:

All you have to do is simply multiply

170 x 0.25=$42.50

In chapter 9, we discussed Confidence Interval methodology to draw conclusions about the difference in the brain size of the children with and without autism. Discuss a different methodology to conclude if there is any significant difference in the average brain size of the children with and without autism.

Answers

Answer:

Two sample t test

Step-by-step explanation:

The two sample t test can be used in the scenario described above, where two independent samples are obtained, we take a certain sample of children with autism and then another sample of children without autism. The number of children chosen for each sample should be random and could be of equal or unequal sizes. The mean and standard deviation of each of sample A and B are deternined and used to perform the analysis to determine if the mean of each sample are equal or not. This test is also called the WELCH T TEST

I WILL MARK BRAINLIEST:))
Please translate this expression into a verbal expression 4(5j+2+j). (5 points)​

Answers

24j+8 because like terms 5j+j=6j*4=24j and 4*2 equals 8

A roll of carpet that contains 250 yd of carpet will cover how many rooms if each room requires 7 3/4 yards of carpet?

Answers

Answer: 32 room

Step-by-step explanation:

[tex]7\frac{3}{4} =\frac{4(7)+3}{4} =\frac{28+3}{4} =\frac{31}{4}=7.75[/tex]

If 1 room = 7.75 yd of carpet ⇒ x rooms = 250 yd of carpet

Use proportions & cross-multiply to solve:

[tex]\frac{1}{7.75} =\frac{x}{250}\\7.75x=250\\x=\frac{250}{7.75} =32.258[/tex]

So 250 yd of carpet can cover about 32 rooms.

I am having trouble with this problem. If anyone could help that would be great.
Let M be the capped cylindrical surface which is the union of two surfaces, a cylinder given by x^2+y^2=16, 0≤z≤1, and a hemispherical cap defined by x^2+y^2+(z−1)^2=16, z≥1. For the vector field F=(zx+z^2y+4y, z^3yx+3x, z^4x^2), compute ∬M(∇×F)⋅dS in any way you like.

Answers

Answer:

Ok... I hope this is correct

Step-by-step explanation:

Let M be the capped cylindrical surface which is the union of two surfaces, a cylinder given by x^(2)+y^(2)=16

Center:  ( 0 , 0 )

Vertices:  ( 4 , 0 ) , ( − 4 , 0 )

Foci:  ( 4 √ 2 , 0 ) , ( − 4 √ 2 , 0 )

Eccentricity:  √ 2

Focal Parameter:  2 √ 2

Asymptotes:  y = x ,  y = − x

Then 0≤z≤1, and a hemispherical cap defined by x^2+y^2+(z−1)^2=16, z≥1.

Simplified

0 ≤ z ≤ 1 , x ^2 + y ^2 + z ^2 − 2 ^z + 1 = 16 , z ≥ 1

For the vector field F=(zx+z^2y+4y, z^3yx+3x, z^4x^2), compute ∬M(∇×F)⋅dS in any way you like.

Vector:

csc ( x )  ,  x = π

cot ( 3 x )  ,  x = 2 π 3

cos ( x 2 )  ,  x = 2 π

Since  

( z x + z ^2 y + 4 y , z ^3 y x + 3 x , z ^4 x ^2 )  is constant with respect to  F , the derivative of  ( z x + z ^2 y + 4 y , z ^3 y x + 3 x , z ^4 x 2 )  with respect to  F  is  0 .

Does anyone know this question?

Answers

Step-by-step explanation:

this is a relatively easy function. Just plug in the value for x

which of the following is a geometric sequence -3,3,-3,3... 11,16,21,26, ... 6, 13, 19, 24, ... -2,6,14,22, ...

Answers

Answer:

p and q are two numbers.whrite down an expression of

The triangles are similar by??

Answers

the SAS similarity theorem

Calculate the sample mean and sample variance for the following frequency distribution of hourly wages for a sample of pharmacy assistants. If necessary, round to one more decimal place than the largest number of decimal places given in the data. Hourly Wages (in Dollars) Class Frequency 10.01 - 11.50 44 11.51 - 13.00 27 13.01 - 14.50 38 14.51 - 16.00 33 16.01 - 17.50 40

Answers

Answer:

[tex]\bar x = 13.739[/tex]

[tex]\sigma^2 = 4.923[/tex]

Step-by-step explanation:

Given

[tex]\begin{array}{cc}{Class} & {Frequency} & 10.01 - 11.50 & 44 & 11.51 - 13.00 & 27 & 13.01 - 14.50 & 38 & 14.51 - 16.00 & 33 & 16.01 - 17.50 & 40 \ \end{array}[/tex]

Required

The sample mean and the sample variance

First, calculate the midpoints

[tex]x_1 = \frac{10.01 + 11.50}{2} = 10.755[/tex]

[tex]x_2 = \frac{11.51 + 13.00}{2} = 12.255[/tex]

And so on...

So, the table becomes:

[tex]\begin{array}{ccc}{Class} & {Frequency} & {x} & 10.01 - 11.50 & 44 & 10.755 & 11.51 - 13.00 & 27 & 12.255 & 13.01 - 14.50 & 38 & 13.755 & 14.51 - 16.00 & 33 & 15.255 & 16.01 - 17.50 & 40 & 16.755 \ \end{array}[/tex]

So, the sample mean is:

[tex]\bar x = \frac{\sum fx}{\sum f}[/tex]

[tex]\bar x = \frac{44 * 10.755 + 27 * 12.255 + 38 * 13.755 + 33 * 15.255 + 40 * 16.755}{44 + 27 + 38 + 33 + 40}[/tex]

[tex]\bar x = \frac{2500.41}{182}[/tex]

[tex]\bar x = 13.739[/tex]

The sample variance is:

[tex]\sigma^2 = \frac{\sum f(x - \bar x)^2}{\sum f - 1}[/tex]

[tex]\sigma^2 = \frac{44 * (10.755 - 13.739)^2 + 27 * (12.255 - 13.739)^2+ 38 * (13.755 - 13.739)^2 + 33 * (15.255 - 13.739)^2+ 40 * (16.755- 13.739)^2}{44 + 27 + 38 + 33 + 40-1}[/tex]

[tex]\sigma^2 = \frac{890.950592}{181}[/tex]

[tex]\sigma^2 = 4.923[/tex]

What is the distance between the points (2, 1) and (14, 6) on a coordinate
plane?

Answers

Answer:

it's 13 if you use the distance formula

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Read the passage from "Two Kinds.I could see why my mother was fascinated by the music. It was being pounded out by a little Chinese girl, about nine years old, with a Peter Pan haircut. The girl had the sauciness of a Shirley Temple. She was proudly modest like a proper Chinese Child. And she also did this fancy sweep of a curtsy, so that the fluffy skirt of her white dress cascaded slowly to the floor like the petals of a large carnation.Which Chinese cultural values are revealed by the passage?A. obedience and self-control B. self-control and conformityC. conformity and love of familyD. obedience and good reputation A _____, offered by companies such as American Express, carries no spending limit, and the entire amount billed to the card is due at the end of the billing period. Find the surface area and volume of the solid given the figure below use the discriminant to determine the number of solutions to the quadratic equation 6z210z3=0. What are the real solutions and complex solutions? Increase 16470.45 by 13.5% Give your answer rounded to 2 DP. Someone help pls How does the Supreme Court interpret the law?by advising state governments as they create state lawsby deciding if laws are constitutionalby advising the legislative branch when laws are being createdby advising the executive branch when laws are being executed Plz help me asapplz plzi will give u brainliest plz asap plz plz Find ordered pairs for y= 2x + 3 if x is {1,2,3} Hellooo can you please help me on this Explain why the flow from the battery increases when the switch is closed. Give the label of the concept(s) that you use from the model of electricity. [ Using the organisms you identified in part B, create a food web for the ecosystem you chose. Use this sample food web for reference, although your food web will contain fewer organisms. Note that your food web does not have to include images, but you may include them if you choose. However, be sure to include arrows to indicate the direction of energy flow in your food web. Design your food web using any method listed below: An urn contains 2 small pink balls, 7 small purple balls, and 6 small white balls.Three balls are selected, one after the other, without replacement.Find the probability that all three balls are purpleExpress your answer as a decimal, rounded to the nearest hundredth. 1. Explain the relationship between the terms species and organism. Which of the following best defines "diction?" a. the use of figurative language b. the use of a dictionary to learn foreign language c. word choice d. sentence fluency Which conclusion about f(x) and g(x) can be drawn from the table?The functions f(x) and g(x) are reflections over the x-axis.The functions f(x) and g(x) are reflections over the y-axis.The function f(x) is a decreasing function, and g(x) is an increasing function.The function f(x) has a greater initial value than g(x). Instructions: Find AB. given that line AD is the perpendicular bisector of BC. pls help me im so stuck Ten years from now, Abdul will be twice as old as his son pavel ten years ago, Abdul was seven times as old as pavel how old are Abdul and pavel now? What will be the potential difference measured by an ideal voltmeter in the circuit of the figure? who was first king and queen of Nepal