Three vertices of a parallelogram are shown in the figure below.
Give the coordinates of the fourth vertex.

Answer:

1. 150.8 in³ (rounded to tenths place) or 48π (in terms of Pi) depending on whether your teacher wants the answer in terms of Pi or not.

2. 113.1 in³ (rounded to tenths place) or 36π (in terms of Pi)

Step-by-step explanation:

The formula for the volume of a cylinder:

height of the cylinder X Pi X (radius of the cylinder)²

1. 4² is 16, 16*3 is 48, times Pi is 48π or 150.796447.

2. 3² is 9, 9*4 is 36, times Pi is 36π or 113.097336

Let me know if you need help rounding to hundredths or thousandths place.

Answer:

Step-by-step explanation:

i would be keen to answer your question.

but please provide more information in order for us to help you solve the problem.

thanks.

Answer:

I believe it is the first one. I know it isn't the second one

Check the picture below.

let's firstly convert the mixed fractions to improper fractions.

[tex]\stackrel{mixed}{7\frac{1}{2}}\implies \cfrac{7\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{15}{2}} ~\hfill \stackrel{mixed}{12\frac{1}{2}}\implies \cfrac{12\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{25}{2}} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\stackrel{\textit{\Large Areas}}{\stackrel{two~triangles}{2\left[ \cfrac{1}{2}\left(\cfrac{15}{2} \right)(10) \right]}~~ + ~~\stackrel{\textit{three rectangles}}{(10)(15)~~ + ~~\left( \cfrac{15}{2} \right)(15)~~ + ~~\left( \cfrac{25}{2} \right)(15)}} \\\\\\ 75~~ + ~~150~~ + ~~112.5~~ + ~~187.5\implies \boxed{525}[/tex]

Answer:

32

Step-by-step explanation:

40/5=8

8×4=32

Answer:32

Step-by-step explanation:the ratio is 4 boots for every 5 athletic shoe so you divide 40 by 5 and get 8 so you have to multiply 8 by 4 which 32 so when they stock 40 pair of athletic shoes they will also stock 32 pairs of boots

The positive solution to the equation [tex]-x^{2} +2x+1=0[/tex] is [tex]x=1+\sqrt{2}[/tex].

Given quadratic equation is:

[tex]-x^{2} +2x+1=0[/tex]

The general form of a quadratic equation is [tex]ax^{2} +bx+c=0[/tex] and [tex]a\neq 0[/tex].

On comparing with general form of quadratic equation

a = -1

b = 2

c = 1

So, from the Shreedharacharya formula,

[tex]x = \frac{-b+-\sqrt{b^{2} -4ac} }{2a}[/tex]

[tex]x = \frac{-2+-\sqrt{2^{2} -4(-1)(1)} }{2*(-1)}[/tex]

[tex]x = 1-\sqrt{2} \\x=1+\sqrt{2}[/tex]

as [tex]x = 1-\sqrt{2}[/tex] is negative

So, the positive solution is [tex]x=1+\sqrt{2}[/tex]

Therefore, the positive solution to the equation [tex]-x^{2} +2x+1=0[/tex] is [tex]x=1+\sqrt{2}[/tex].

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Answer:  x = 2 + √2. x = 2 - √2 ·

Step-by-step explanation:

- x² + 2x + 1 = 0. x² - 2x - 1 = 0. Here,. a = 1. b = - 2. c = - 1

Answer:

Area of Circle = πr²

22/7(x + 9)²

3.14 × (x²+ 81 + 18x)

Answer:

Add a radical term to both sides and square both sides twice.

Step-by-step explanation:

Given the radical equation

√(b+6) - √b = 5

We are to evaluate the expression for the value of b

Step 1: Add the radical term √b to both sides

√(b+6) - √b +√b = 5+√b

√(b+6) = 5+√b.

Step 2: Square both sides of the equation

(√(b+6))² = (5+√b.)²

b+6 = 25+10√b+ (√b)²

b+6 = 25+10√b + b

Step 3: collect like terms

b+6-b-25 = 10√b

-19 = 10√b

Step 4: square both sides of the resulting equation

(-19)² = (10√b)²

361 = 100b

b = 361/100

b = 3.61

Based on the calculation above, the correct option is C.

Add a radical term to both sides and square both sides twice.

Answer:

C

Step-by-step explanation:

edg 2021

The given asymptote, intercepts and holes of the given function depends

on the numerator and denominator of the function from which we have;

The given function is presented as follows;

[tex]f(x) = \mathbf{ \dfrac{3 \cdot (x - 3) \cdot (x + 2) \cdot (x - 4)}{8 \cdot (x + 9) \cdot (x - 3)}}[/tex]

Given that there is a common factor of (x - 3) in the numerator and the denominator,  we have;

[tex]f(x) = \mathbf{\dfrac{3 \cdot (x + 2) \cdot (x - 4)}{8 \cdot (x + 9)}}[/tex]

The asymptote is obtained by equating the denominator to zero as follows;

8·(x + 9) = 0

x = -9

The intercepts is given by the points the x or y-value are zero, which gives;

[tex]At \ an \ intercept, \ f(x) = \dfrac{3 \cdot (x - 3) \cdot (x + 2) \cdot (x - 4)}{8 \cdot (x + 9) \cdot (x - 3)}= 0[/tex]

3·(x - 3)·(x + 2)·(x - 4) = 0

Therefore;

[tex]At \ the \ \mathbf{y-intercept}, \ f(0) = \dfrac{3 \cdot (0- 3) \cdot (0 + 2) \cdot (0 - 4)}{8 \cdot (0 + 9) \cdot (0 - 3)}= -\dfrac{1}{3}[/tex]

The hole is given by the point where the function is zero.

Placing (x - 3) = 0 in the denominator

Therefore;

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Answer: 4

Step-by-step explanation:

The vertex of a parabola is at (p, q). As for the axis of symmetry, the p value is 8, and in this function the q value is 3. So the vertex is at (8,3).

Answer:

21/5 or 4.2

Step-by-step explanation:

we need to repeat the steps backward.

"increased by 2 than less than twice the number"

the previous result has to be divided by 5.

(21)/(5) = 21/5 =  4.2

Proof:

"5 times a number, increased by 2

less than twice the number, is 40."

2( 5( 21/5 ) ) - 2 =2( 21 ) - 2 = 42-2 = 40

Also, please mark me as brainliest.

=================================

Work Shown:

n = number of sides = 17

S = sum of the interior angles of a polygon

S = 180(n-2)

S = 180(17-2)

S = 180*15

S = 2700

Answer:

2,700°

Step-by-step explanation:

Total degree measure for all the interior angles of a 17-gon

[tex] = (n - 2) \times 180 \degree \\ \\ = (17 - 2) \times 180 \degree \\ \\ = 15 \times 180 \degree \\ \\ \huge \red { \boxed{ = 2,700 \degree}}[/tex]

Answer:

A-3n-5=-48+(-45n)

B--5=-48-42n

C--43=-42n

43/42=n

Answer:

-18

Step-by-step explanation:

so substitution is the answer! (not literally the answer though lol)

y = 4(3)(-2) - 3 (-2)

y = 4(-6) + 6

y = -24 + 6

y = -18

Answer:

y=-18

Step-by-step explanation:

y=4uv-3v

y= 4(3)(-2)-3(-2)

12(-2)+6

-24+6

y=-18

Answer:

A. 3 3/4 hours = 3.75 hours

I hope this helps, please rate!

Answer:

f(x) = -25d + 3,500

Step-by-step explanation:

Raul opened a savings account with $3,500.

Each week, Dale pays the dog sitter $25 from his saving account.

Let d be the number of weeks and f(x) be the function representing the amount of money in the account after Raul pays the dog sitter d weeks.

The amount of money in the Raul's account is decreasing each week by $25, then the slope of the linear function is

Initially, at week d=0, Raul's account has $3,500, so b=3,500.

Write the function's expression in the form

f(x) = md + b

Hence,

f(x) = -25d + 3,500

The expression which is equal to the given complex fraction will be

(2-(1/y)/3+(1/y)=(2y-1)/(3y+1)

The complex fraction will be defined as the expression containing the fractions in their numerator and denominator or at least one of them like either numerator or denominator containing fraction in it.

now we have to find the solution to the given expression:

[tex]=\dfrac{2-\frac{1}{y} }{3+\frac{1}{y} }[/tex]

[tex]=\dfrac{\dfrac{2y-1}{y} }{\dfrac{3y+1}{y} }[/tex]

[tex]=\dfrac{2y-1}{3y+1}[/tex]

Hence the expression which is equal to the given complex fraction will be

[tex]\dfrac{2-\frac{1}{y} }{3+\frac{1}{y} }= \dfrac{2y-1}{3y+1}[/tex]

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Answer:

D

Step-by-step explanation:

edge 2022

Answer:

Step-by-step explanation:

given Principle at 31250

and rate = 12%

and time 12.5 years

the amount would be given by the equation

[tex]P(1+\frac{rate}{100})^{time}[/tex]

plug in values to get

[tex]31250(1+\frac{12}{100})^{12.5}[/tex]

end up with value $128847

Answer: 66.5 inches

Step-by-step explanation:

Answer:

sorry can I help you with but it says apparently log with a base four times the height of an area less than 2000 feet square feet I really don't know but I'm going to see just try your hardest

Answer:

25

The dot means multiplication. 5.5.5 is 125. 125/5 is 25.

Step-by-step explanation:

Answer:

Step-by-step explanation:

The . or point means multiply :

5.5.5 / 5

= 125 / 5

= 25

25 is your answer. I think this helps !!!!!

Thank you ☺️☺️

Answer:

If the 2 numbers are the same, it will be zero. If the positive number is larger than the negative number, the sum will be positive. If the negative number is larger than the positive number, then the sum will be a negative number.

Step-by-step explanation:

Answer:

25%

Step-by-step explanation:

so you will add 4,3,5=12

3/12=0.25 then = 25%

The probability that both Michelle and Garth will drive a red bumper car is calculated as; 4.5%

We are told that;

Number of red cars = 3 red cars

Number of green cars = 4 green cars.

Number of blue cars = 5 blue cars.

Total Number of Cars = 3 + 4 + 5

Total number of Cars = 12 cars

Probability that Michellewill drive a red bumper car is;

P(A) = 3/12

Probability that Garth will drive a red bumper car is;

P(B) = 2/11

Probability that both Michelle and Garth will drive a red bumper car is;

P(A ∩ B) = (3/12) × (2/11)

P(A ∩ B) = 0.045 = 4.5%

Read more about Probability at; https://brainly.com/question/251701

Answer:

C. y=1.6x-5

Explanation:

-5-(-8.2)= 1.6

1.6=m

-8.2=1.6(-2)=b

1.6(-2)=-3.2

-8.2-(-3.2)=-5

-5=b

hope this helps =3

Answer:

10^0*10^1-1,

10^0*10^1*1^10,

10^0+10^1*1^10,10^0+10^1+1^10

Step-by-step explanation:

Answer:

250 miles

Step-by-step explanation:

The given distance between the house and the beach is 125 miles.

Let [tex]x[/tex] miles be the distance between the house and the lunch stop.

So, at the time of the lunch stop, he already traveled [tex]x[/tex] miles, the remaining distance is the distance between the lunch stop and the beach.

Let [tex]y[/tex] miles be the remaining distance, so

[tex]y=125-x.[/tex]

Give that the ratio of the distance he has traveled, [tex]x[/tex], to the distance he still has to travel, [tex]y[/tex], is [tex]2:3[/tex],i.e

[tex]x:y=2:3[/tex]

[tex]\Rightarrow \frac x y =\frac 2 3[/tex]

[tex]\Rightarrow \frac {x}{125-x}=\frac 2 3[/tex]

[tex]\Rightarrow 3\times x=2\times(125-x)[/tex]

[tex]\Rightarrow 3\times x=2\times125-2\timesx[/tex]

[tex]\Rightarrow 3 x=250-2x[/tex]

[tex]\Rightarrow 3x-2x=250[/tex]

[tex]\Rightarrow x=250[/tex]

Hence, the distance traveled by Herman when he stops for lunch is 250 miles.

Answer:

first it is not a maths question

second the ans to the question

Step-by-step explanation:

plezzzzz........

Migration is when people move from one place to another.

The impact of people moving from one place to another can either be positive. The positive aspects are:

The negative effects of migration can include

Pressure on the public services and the natural resources.

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