Mathematics College

Find the volume of the cylinder

Answers

Answer 1

Answer:

7 x 7 x 17 =833

Step-by-step explanation:

833in^3

Related Questions

When three squares are joined at their vertices to form a right triangle, the combined area of two smaller squares is the same as the area of the largest square find the side of the third square

Answers

Answer:

b = 12 cm

Step-by-step explanation:

The Pythagora's Theorem

The area of a square of side length x is

[tex]A = x^2[/tex]

We have three squares, two of which have side lengths of a=5 cm and b= 13 cm.

The combined area of the smaller squares is the same as the area of the largest square. We cannot say at first sight which square is the largest, we'll assume the square of side length of 13 cm is the largest one. Thus:

[tex]5^2+b^2=13^2[/tex]

Where b is the unknown side length.

The above expression corresponds to the Pythagora's Theorem formula. Solving for b:

[tex]b^2={13^2-5^2=169-25=144[/tex]

[tex]b=\sqrt{144}[/tex]

b = 12 cm

PLEASE HELP !!! i need to know the surface area

Answers

Answer:

244 ft²

Step-by-step explanation:

Rectangle Base Area: 6•4=24

Rectangle Side Area: 8•10=80; 80•2(sides) = 160

Triangle Sides Area: (10•6=60); 60/2(area of triangle) = 30; 30•2(sides)=60*

*Technically can skip the divide by two and then multiply by two, since they cancel out*

(Area of Triangle Formula= 1/2bh)

Add areas together: 24+160+60= 244 ft²

Christian opened a savings account with $3250. His account will earn 5.2% simple interest.
How much money will be in his account after 6 years?

Answers

The total amount of money will be in his account after 6 years is $4264.

Given that, principal = $3250, rate of interest = 5.2% and time period = 6 years.

What is the simple interest?

Simple interest is a method to calculate the amount of interest charged on a sum at a given rate and for a given period of time.

Simple interest is calculated with the following formula: S.I. = P × R × T, where P = Principal, R = Rate of Interest in % per annum, and T = Time, usually calculated as the number of years.

Substitute P=$3250, R=5.2% and T=6 years in simple interest formula

That is, S.I. = (3250 × 5.2 × 6)/100

= $1014

Amount = Principal + Simple interest

= 3250 + 1014

= $4264

Therefore, the total amount of money will be in his account after 6 years is $4264.

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1) Slope 1/3
y-intercept = -5

Write the slope-intercept from the equation given the slope snd y-intercept.

Answers

slope intercept form: y= 1/3x + -5

Solve the following equations
7(3x + 5) - x = 75

Answers

Answer:

x = 2

Step-by-step explanation:

7(3x + 5) - x = 75

1. Distributive property

multiply 7 by whatever is in the parenthesis

7*3x + 7*5 - x = 75

21x + 35 - x = 75

2. Combine like terms

21x - x = 20x

20x + 35 = 75

3. Subtract 35 on both sides

20x + 35 - 35 = 75 - 35

20x = 40

4. Divide both sides by 20 since u want to isolate the variable

20x/20 = 40/20

x = 2

And thats ur answer

Hope this helped!

The school store sells pens for $0.20 each and pencils for $0.30 each. Anthony
spent $2.70 to buy a total of 5 pens and pencils. How many pencils did
Anthony buy? pencils
Help I need it now!

Answers

Answer:

Step-by-step explanation:

im not sure i need points im so srry

what is solution of this equation 2/3x =4?

Answers

Answer:

x=6

Step-by-step explanation:

[tex]\frac{2/3x}{2/3} =\frac{4}{2/3}[/tex]

x=6

What is the decimal equivalent of - 2/5

Answers

you’re answer is -0.4

About 10% of Americans will go to a restaurant or an event for the New Year. About how many people would that be?

Answers

Answer:

About 33,199,213

Step-by-step explanation:

Population of America: about 331,992.130 million

331,992,130 x .10 = 33,199,213

An 8 foot wire extends from the top of a 5 foot post to the ground, forming a right triangle. To the nearest tenth of a foot, what is the distance from the bottom of the post to the point where the wire meets the ground?

Answers

Answer:

The answer would be 6.2 if you round to the nearest tenth.

Step-by-step explanation:

If the circumference of a circle is x, then what is the area of the circle in terms of x?

Answers

Answer:

x^2 / 4pi

Step-by-step explanation:

The area of a circle is (pi x r)^2

The circumference of a circle is 2pi x r

The find the radius, you need to divide x by 2pi, so x / 2pi

Then just plug it in as the radius:

(pi x (x / 2pi))^2 = x^2 / 4pi

Which expression has a value that is equal to the given expression when n = 8?

2n + 10

n² + 5

2(n+5)

10n + 2

3n

Answers

Answer:

2n+10 and 2(n+5)

Step-by-step explanation:

[tex]2n + 10 \\ 2(8) + 10 = 26 \\ and \\ 2(n + 5) \\ = 2(8 + 5) \\ = 2(13) = 26 \\ \: hence \\ 2n + 10 = 2(n + 5) = 26[/tex]

The answer is C) 2 (n+5)

(-7/10)=?/10 change to higher terms please help !!

Answers

Answer:

-7

Step-by-step explanation:

you cant change the numerator if you cant change the denominator

Anna is buying school supplies. She spends $3 for a pack of 4 fancy pencils and $2 for a pencil case. Then, she buys a notebook for $2. She has a $10 bill. How much change will she receive?

Answers

1782375372927919171625828191 sry I need to answer a question

Answer:

3 not including tax, if it needs to include tax i dont know

Plz worth 70 points

What best describes the expression 6/y

1. 6 times some number
2. 6 divided by some number
3.minus some number
4.more than some number

Answers

Answer:

6 divided by some number y

Step-by-step explanation:

Let y be some unknown number

Given an expression 6/y

The slash sign (/) there means division. Hence the statement can be described as 6 divided by some number y

Pascha is factoring the polynomial, which has four terms.

3x3 – 15x2 + 8x – 40

3x2(x – 5) + 8(x – 5)

Which is the completely factored form of her polynomial?

(3x2 – 5) (x + 8)

(3x2 – 8) (x + 5)

(3x2 + 8) (x – 5)

(3x2 + 5) (x – 8)

Answers

Answer:

[tex](3x^2 + 8)(x - 5)[/tex]

Step-by-step explanation:

Given

[tex]3x^3 - 15x^2 + 8x - 40 = 3x^2(x - 5) + 8(x - 5)[/tex]

Required

Complete the factorization

[tex]3x^3 - 15x^2 + 8x - 40 = 3x^2(x - 5) + 8(x - 5)[/tex]

When an equation is factorized as:

[tex]a(b + c) + d(b + c)[/tex]

The complete expression is:

[tex](a + d)(b + c)[/tex]

Apply this logic in [tex]3x^3 - 15x^2 + 8x - 40 = 3x^2(x - 5) + 8(x - 5)[/tex]

By comparison:

[tex]a = 3x^2; b = x; c = -5; d = 8[/tex]

So, we have:

[tex]3x^3 - 15x^2 + 8x - 40 = (3x^2 + 8)(x - 5)[/tex]

Hence,

[tex](3x^2 + 8)(x - 5)[/tex] is the complete factor

Answer:

Step-by-step explanation:

What is the slope? (IXL)

Answers

Answer: a=mx+b

Step-by-step explanation:

Marisol drove 3 hours from City A to City B. The equation below estimates the distance d, in
miles, Marisol traveled after driving for t hours.
d = 45t

Answers

Answer:

Step-by-step explanation:

D*RT

D=45*3

D=135

Marisol drove 135 MI.

The Marisol drove from City A to City B for 3 hours and distance covered is 135 miles .

What is equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

According to the question

Marisol drove for from City A to City B = 3 hours

Equation below estimates the distance d, in miles for t hours.

d = 45t

now , substituting the value

d = 45 * 3

d = 135 miles

Hence, the Marisol drove from City A to City B for 3 hours and distance covered is 135 miles .

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Help a random guy of the internet...that sounds weird

Answers

Answer:

I think 1 is yr answer

hope it helps.

Use the discriminant to describe the roots of each equation. Then select the best description.

2 = x2 + 5x

double root
real and rational root
real and irrational root
imaginary root

Answers

ExplanationGiven the equation.

[tex]2 = {x}^{2} + 5x[/tex]

Arrange the expression into the standard form.

[tex]0 = {x}^{2} + 5x - 2 \\ {x}^{2} + 5x - 2 = 0[/tex]

Discriminant

From the standard form equation and from the given equation.

[tex]a {x}^{2} + bx + c = 0 \\ a = 1 \: \: \: b = 5 \: \: \: c = - 2[/tex]

Discriminant Formula

[tex]D = {b}^{2} - 4ac[/tex]

Substitute the value of terms in the discriminant formula.

[tex]D = {(5)}^{2} - 4(1)( - 2) \\ D = 25 - 4( - 2) \\ D = 25 + 8 \\ D = 33[/tex]

Discriminant Types

[tex]D > 0 \: \: \: \: 2 \: \: real \: \: roots \\ D = 0 \: \: \: \: 1 \: \: real \: \: root \\ D < 0 \: \: \: imaginary \: \: roots[/tex]

We can rule out the Imaginary root and double root because the discriminant is greater than 0. Therefore, the only choices are either Irrational or Rational.

However, we cannot factor the expression by using two brackets or common factor. We can say that the equation has two real irrational roots.

Answerreal and irrational root

x2+5x-2=0
a=1, b=5, c=-2

b2-4ac is the discriminant.
(5^2)-4(1)(-2)
25+8=33, so the discriminant is positive

This means there are two real rational roots, so the answer is the second option

what is the slope-intercept equation of the line that goes through the points 1, 5 and 2, 8

Answers

Answer:

The slope-intercept equation of the line that goes through the points (1, 5) and (2, 8) is [tex]\mathbf{y=\frac{3}{2}x+\frac{7}{2} }[/tex]

Step-by-step explanation:

We need to find the slope-intercept equation of the line that goes through the points (1, 5) and (2, 8)

The general equation for slope intercept form is [tex]y=mx+b[/tex] where m is slope and b is y-intercept

Finding slope

Slope can be found using formula [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]

We have [tex]x _1=1, y_1=5, x_2=2, y_2=8[/tex]

Putting values and finding slope

[tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{8-5}{2-1}\\Slope=\frac{3}{2}[/tex]

So, we get slope [tex]m=\frac{3}{2}[/tex]

Finding y-intercept

y-intercept can be found using slope [tex]m=\frac{3}{2}[/tex] and point (1,5)

[tex]y=mx+b\\5=\frac{3}{2}(1)+b\\b=5- \frac{3}{2}\\b=\frac{10-3}{2}\\b=\frac{7}{2}\\[/tex]

So, we get y-intercept [tex]b=\frac{7}{2}[/tex]

Equation of line

So, equation of line having slope [tex]m=\frac{3}{2}[/tex] and y-intercept [tex]b=\frac{7}{2}[/tex] is:

[tex]y=mx+b\\y=\frac{3}{2}x+\frac{7}{2}[/tex]

The slope-intercept equation of the line that goes through the points (1, 5) and (2, 8) is [tex]\mathbf{y=\frac{3}{2}x+\frac{7}{2} }[/tex]

The least common multiple of two numbers is 24. Which could be the two numbers?

Answers

Answer: 6 and 8

Step-by-step explanation:

Answer:

6, 8

Step-by-step explanation: i hope this helps

When something is refracted, it changes
direction
volume
size

Answers

Refraction is an effect that occurs when a light wave, incident at an angle away from the normal, passes a boundary from one medium into another in which there is a change in velocity of the light. Light is refracted when it crosses the interface from air into glass in which it moves more slowly.

please help brainlyest to correct

Answers

Answer:

[tex]22961.5 cm^{2}[/tex]

Step-by-step explanation:

[tex]V = \pi r^{2} h[/tex]

30/2 = 15 (to find radius, r)

[tex]V = 3.14 * 15^{2} * 325[/tex]

[tex]V = 22961.5 cm^{2}[/tex]

what does 6 represent in the number 240.65?

Answers

Answer:

6 tenths

Step-by-step explanation:

Answer:

The tenths place

Step-by-step explanation:

I don't know how to explain that, but I hope this helps, and have a great day! :)

Gereome has an hour and half before he has to leave to play basketball. If it takes him 7/12 an hour to do his homework and ⅗ of an hour to find his uniform, how much time will he have left?