PLEASEEE HELP !!! asap Find the surface area of the cone in terms of x.
54 cm2
49 cm
517 cm2
99cm2

PLEASEEE HELP !!! Asap Find The Surface Area Of The Cone In Terms Of X.54 Cm249 Cm517 Cm299cm2

Answers

Answer 1

Answer:

[tex]54\pi\ cm^2[/tex]

Step-by-step explanation:

1. Approach

In order to solve this problem, one needs to find the height of the cone. This can be done using the Pythagorean theorem. After finding the height of the cone, one can use the formula to find the surface area of a cone, to find the surface area of this particular cone.

2. Find the height of the cone

The Pythagorean theorem is a property that relates the sides of a right triangle. The radius (distance from the center to circumference (outer edge)) of the base, the height of the cone, and the slant of the cone forms a right triangle. Thus, one can use the Pythagorean theorem to solve for the height. The Pythagorean states the following:

[tex]a^2+b^2=c^2[/tex]

Please note that (a) and (b) represent the sides adjacent (next to) the right angle, (c) represents the hypotenuse (the side opposite the right angle). In this case (a) is the height, and (b) is the radius of the base. (c) is the diagonal of the cone. Substitute the given values in and solve for the height,

[tex]a^2+b^2=c^2[/tex]

[tex]a^2+3^3=15^2[/tex]

Simplify,

[tex]a^2+3^3=15^2[/tex]

[tex]a^2+9=225[/tex]

Inverse operations,

[tex]a^2+9=225[/tex]

[tex]a^2=216[/tex]

[tex]a=\sqrt{216}[/tex]

3. Find the surface area of the cone

The following formula can be used to find the surface area of a cone,

[tex]A_s=\pi r(r+\sqrt{h^2+r^2})[/tex]

Where (h) is the height of the cone, (r) is the radius of the base of the cone, and ([tex]\pi[/tex]) represents the value (3.1415...). Substitute the given values into the formula and solve for the surface area,

[tex]A_s=\pi r(r+\sqrt{h^2+r^2})[/tex]

[tex]A_s=\pi(3)(3}+\sqrt{\sqrt{216}^2+3^2}[/tex]

Simplify,

[tex]A_s=\pi(3)(3}+\sqrt{\sqrt{216}^2+3^2}[/tex]

[tex]A_s=\pi(3)(3}+\sqrt{216+9})[/tex]

[tex]A_s=\pi(3)(3}+\sqrt{225})[/tex]

[tex]A_s=\pi(3)(3}+15)[/tex]

[tex]A_s=\pi(3)(18)[/tex]

[tex]A_s=\pi(54)[/tex]


Related Questions

The expression 2r^2+18x +40 has a greatest common factor of 2.
Once the GCF is factored out, what are the two binomial factors
left that complete the equation.
what are the 2 missing binomial factors?

Answers

2(x^2+9x+20)

2(x^2+5x+4x+20)

2{x(x+5)+4(x+5)}

2(x+5)(x+4)

Help me plz it’s due today

Answers

Answer:

10x²−9x

Step-by-step explanation:

10x²−10x−6+x+6

=10x²−10x−6+x+6

Combine Like Terms:

=10x²−10x−6+x+6

=(10x²)+(−10x+x)+(−6+6)

=10x²−9x

I hope this answer helps you out! Brainliest would be appreciated :)

Answer:

10x^2=9x

Step-by-step explanation:

Add them together into one equation

10x^2 - 10x - 6 + x + 6

Now add like terms. The -6 and 6 cancel eachother out since they equal 0

10x^2 - 10x +x

You should get 10x^2 - 9x


Suppose a line passes through (a, -11) and (7,13), and is parallel to the line
y =2x + 8, What is the value of a? Write the equation of the line

Answers

Answer:

a=19

Step-by-step explanation:

The slope of the equation is - 2 as it's parallel to the given line. Using two point slope form, (13-(-11))/(7-a)=-2. 24=-2(7-a), - 12=7-a, a=19

Answer:

see explanation

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 2x + 8 ← is in slope- intercept form

with slope m = 2

Parallel lines have equal slopes

Calculate the slope between the 2 given points and equate to 2

Using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (a, - 11) and (x₂, y₂ ) = (7, 13)

m = [tex]\frac{13-(-11)}{7-a}[/tex] = [tex]\frac{13+11}{7-a}[/tex] = [tex]\frac{24}{7-a}[/tex] , then

[tex]\frac{24}{7-a}[/tex] = 2 ( multiply both sides by 7 - a )

2(7 - a) = 24 ( divide both sides by 2 )

7 - a = 12 ( subtract 7 from both sides )

- a = 5 ( multiply both sides by - 1 )

a = - 5

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

y = 2x + c ← is the partial equation

To find c substitute (7, 13) into the partial equation

13 = 14 + c ⇒ c = 13 - 14 = - 1

y = 2x - 1 ← equation of parallel line

What's 179 square root

Show how

Answers

Answer:

The square root of 179 rounded up to 7 decimal places is 13.3790882. It is the positive solution of the equation x² = 179.

Write a short account on farmer with the help of statement given, it says that the Indian farmer is born in dept lives in dept and die in dept.
plese help. need help.

Answers

Answer:

sir Malcolm darling

Step-by-step explanation:

he has said Indian farmer is born in dept lives in dept and die in dept.

Help me quick i need helppp

Answers

[tex]\\ \sf\longmapsto (m-8)+(m-8)+(m-8)+(m-8)+(m-8)+(m-8)=12[/tex]

[tex]\\ \sf\longmapsto 6(m-8)=12[/tex]

[tex]\\ \sf\longmapsto 6m-48=12[/tex]

[tex]\\ \sf\longmapsto 6m=12+48[/tex]

[tex]\\ \sf\longmapsto 6m=60[/tex]

[tex]\\ \sf\longmapsto m=\dfrac{60}{6}[/tex]

[tex]\\ \sf\longmapsto m=10[/tex]

Answer:

M=14

Step-by-step explanation:

First make an equation - m÷6 =8Then shift 6 to 8 - m=6×8Answer - m=14

Na função y = x² - 2x +1, temos que a = 1, b = -2 e c = 1, calcule as coordenadas do vértice da parábola​

Answers

Answer:

(1, 0)

Step-by-step explanation:

x = -b / 2a

x = 2 / 2(1)

x = 2 / 2

x = 1

y = x^2 - 2x + 1

y = (1)^2 - 2(1) + 1

y = 1 - 2 + 1

y = -1 + 1

y = 0

vértice: (1, 0)

At the mall you spent a total of $170.86. You bought 2 pairs pf jeans for $39.95 each, a jacket for
$45.99, and shirts for $14.99 each. How many shirts did you buy?


Answers

Answer:

3

Step-by-step explanation:

Total Money Spent = $170.86

Cost of each jeans = $39.95x2 = 79.9

Cost of each Jacket  = $45.99

Cost of each shirt = $14.99

=79.9 + 45.99

=125.89

=170.86 - 125.89

=44.97

=44.97 / 14.99

=3

Answer From Gauth Math

U need help ASAP!!!Please explain the answer

Answers

ANSWER:
V= 3,619.1 km^3

EXPLANATION:
Simply plug in the radius (12 km) and height (24 km) into the cone volume formula.

Find the distance between R(-5,-3) and S(4,-2).​

Answers

Answer:

√106

Step-by-step explanation:

to calculate the distance between two points on an xoy plane you use the formula

(x2-x1)²+(y2-y1)²

in this case x1 is -5,x2 is 4,y1 is -3 and y2 is -2 therefore the solution will be

(4-(-5)²+(-2-3)²

(4+5)²+(-5)²

(9)²+(-5)²

81+25

106

I hope this helps

x²+y²+6x+8y+24=0 asap reply plss.. Sana umabon ng 1 makasagot​

Answers

Answer:

3

Step-by-step explanation:

What is -2 + 5(9 − 12)

Answers

Answer:

-17

Step-by-step explanation:

-2 + 5(9 − 12)

PEMDAS

Parentheses first

-2 + 5(-3)

Then multiply

-2 -15

Subtract

-17

Answer:

-17

Step-by-step explanation:

hope this helps

11. The student government is selling flowers for homecoming. The project costs them $20 for advertising and
$3 for each flower sold.
a. Evaluate the expressions 3n+20 and 3(n+20) when n = 4.
b. Which expression shows their total cost? How do you know?

Answers

Answer:

32

Step-by-step explanation:

3(n+20) = 3(4+20) = 3(24) = 723n+20 = 3(4)+20= 12+20=32

If n represents the amount of flowers they sold, then the correct answer should be 32. The cost for each flower they sold would be 3 x 4 and then add $20 for advertising.

Does this graph represent a function (scatter)

A. Yes
B. No

Answers

Answer:

A. Yes

Step-by-step explanation:

it is always yes because no os negative

Answer

a

Step-by-step explanation:

it does represent a function

Help me please I need this

Answers

Answer:

2 times

Step-by-step explanation:

3/4 × 2 = 6/4, simplified down is 3/2

Answer: the answer is a

Use substitution to solve the following system of equations. What is the value of y?

Answers

Answer:

y = 6

Step-by-step explanation:

Use the second equation:

2x - y = 2 ⇒ y = 2x - 2

Substitute this into first equation:

3x + 4(2x - 2) = 363x + 8x - 8 = 3611x = 44x = 4

Now find y:

y = 2*4 - 2 y = 8 - 2y = 6

It is given that,

→ 2x - y = 2

Convert the equation as,

→ y = 2x - 2

First we should,

find the required value of x.

→ 3x + 4(2x - 2) = 36

→ 3x + 8x - 8 = 36

→ 11x = 44

→ [x = 4]

Let's find the required value of y,

→ y = 2x - 2

→ y = (2 × 4) - 2

→ y = 8 - 2

→ [y = 6]

Therefore, the value of y is 6.

please help me
I need help

Answers

What would you like me to help you with?

Enter the repeating digit:

[tex] \frac{2 }{3} = 0. \frac{?}{?} [/tex]

Answers

Answer:0.6666...

Step-by-step explanation:

Dividing

Help me with this pls !

Answers

Answer:

awnser G

Step-by-step explanation:

Answer:

H

Step-by-step explanation:

y and x² are corresponding angles and are congruent, that is

y = x²

Then

[tex]\frac{y^3}{3}[/tex] = [tex]\frac{(x^2)^{3} }{3}[/tex] = [tex]\frac{x^6}{3}[/tex] → H

PLEASE HEL URGENT 25 POINTS!!!
Write 0.0000012 in scientific notation

Answers

Answer:

0.0000012  = 1.2 x 10⁶ (that is the scientific notation)

Step-by-step explanation:

The decimal  moves 6 places to the right

The 6 then becomes the exponent in a* 10^b

And (a) must be a 10 > number > 1

b = number of places the decimal moves

Answer:

1.2 * 10 ^6

Step-by-step explanation:

0.0000012

Move the decimal  6 places to the right

The 6 becomes the exponent in

a* 10^b  a must be a number 1 or greater but less than 10

b is the the number of places the decimal moves (+ to the right, - to the left)

000001.2

Then the number becomes 1.2 * 10 ^6

Solve the system using substitution.
X = Y-4
2x + 3y = 12

Answers

Answer:

Step-by-step explanation:

If you know that x = y - 4, you can plug that value into the equation 2x + 3y = 12 for x. This would look like:

2(y - 4) + 3y = 12

Simplify:

2y - 8 + 3y = 12

5y - 8 = 12

add 8 to both sides

5y = 20

divide both sides by 5

y = 4

Now, substitute y = 4 back into the equation x = y - 4:

x = 4 - 4

and simplify:

x = 0

This means that the answer is x = 0 and y = 4.

Answer:

(0, 4 )

Step-by-step explanation:

Given the 2 equations

x = y - 4 → (1)

2x + 3y = 12 → (2)

Substitute x = y - 4 into (2)

2(y - 4) + 3y = 12 ← distribute and simplify left side

2y - 8 + 3y = 12

5y - 8 = 12 ( add 8 to both sides )

5y = 20 ( divide both sides by 5 )

y = 4

Substitute y = 4 into (1) for corresponding value of x

x = 4 - 4 = 0

solution is (0, 4 )

PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
Find the mode of the data set that consists of 8, 18, 4, 2, 3, 7, 11, 13, 5, 1.
A. 6
B. 7.2
C. no mode
D. 17

Answers

Answer:

No mode

Step-by-step explanation:

There are no any numbers which are repeated. So there is no mode.

Answer:

The answer is C.no mode because the mode of a data set is the number that occurs most frequently in the set. To easily find the mode, but the numbers in order from least to greatest and count how many times each number occurs. The number that occurs the most is the mode!

which of the following represents x= 1/2 y written in general form?

Answers

Answer:  Choice C

2x-y = 0

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

Work Shown:

x = (1/2)y

2x = y ... multiply both sides by 2

2x-y = 0 ... subtract y from both sides

This is in standard form Ax+By = C, where A,B,C are integers. In this case, A = 2, B = -1, C = 0.

Will Mark Brainlest Help Please ,,,,
find the value of x and y ​

Answers

Step-by-step explanation:

(-1,0),m=2

(1-7),m=12

m=-4,(-1,-4)

FOR EASY BRAINLIEST ANSWER THESE QUESTIONS:

1.

2.

3.

4.

5.

Answers

Step-by-step explanation:

all answers and steps are in picture

If x = 3 and y = 5 then which of the following expression has the value ( -8)​

Answers

당신에게 도움이됩니다

[tex]( - 3) - 5 \\ = ( - 8)[/tex]

What would equal (-8)

I need help ASAP!!Please explain how you got the answer

Answers

Answer:

348 km³

Does the answer help you?

PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!

Answers

Answer:

a. (0,-5)

Step-by-step explanation:

sin^6x + cos^6x = 1/4

Answers

Answer:

[tex]\displaystyle x = \frac{\pi}{4} + k\, \pi[/tex] for integer [tex]k[/tex] (including negative numbers.)

Step-by-step explanation:

Pythagorean Identity: [tex]\sin^{2}(x) + \cos^{2}(x) = 1[/tex]. Equivalently, [tex]\cos^{2}(x) = 1 - \sin^{2}(x)[/tex].

Rewrite the original equation and apply this substitution to eliminate [tex]\cos(x)[/tex]:

[tex]\displaystyle \sin^{6}(x) + \cos^{6}(x) = \frac{1}{4}[/tex].

[tex]\displaystyle (\sin^{2}(x))^{3} + (\cos^{2}(x))^{3} = \frac{1}{4}[/tex].

[tex]\displaystyle (\sin^{2}(x))^{3} + (1 - \sin^{2}(x))^{3} = \frac{1}{4}[/tex].

Let [tex]y = \sin(x)[/tex] ([tex]-1 \le y \le 1[/tex].) The original equation is equivalent to the following equation about [tex]y[/tex]:

[tex]\displaystyle y^{6} + (1 - y^{2})^{3} = \frac{1}{4}[/tex].

Expand the cubic binomial in the equation:

[tex]\displaystyle y^{6} + 1 - 3\, y^{2} + 3\, (y^{2})^{2} - (y^{2})^{3} = \frac{1}{4}[/tex].

[tex]\displaystyle y^{6} + 1 - 3\, y^{2} + 3\, y^{4} - y^{6} = \frac{1}{4}[/tex].

Simplify to obtain:

[tex]\displaystyle 1 - 3\, y^{2} + 3\, y^{4} = \frac{1}{4}[/tex].

Rearrange and simplify:

[tex]12\, y^{4} - 12\, y^{2} + 3 = 0[/tex].

[tex]3\, (2\, y^{2} - 1)^{2} = 0[/tex].

[tex]2\, y^{2} - 1 = 0[/tex].

[tex]\displaystyle y^{2} - \frac{1}{2} = 0[/tex].

Solve for [tex]y[/tex]:

Either [tex]\displaystyle y = \frac{1}{\sqrt{2}}[/tex] or [tex]\displaystyle y = -\frac{1}{\sqrt{2}}[/tex].

If [tex]\displaystyle \sin(x) = y = \frac{1}{\sqrt{2}}[/tex], then [tex]\displaystyle x = \frac{\pi}{4} + 2\, k\,\pi[/tex] for all [tex]k\in \mathbb{Z}[/tex].

On the other hand, if [tex]\displaystyle \sin(x) = y = \frac{1}{\sqrt{2}}[/tex], then [tex]\displaystyle x = \frac{3\, \pi}{4} + 2\, k\,\pi = \frac{\pi}{4} + (2\, k + 1) \, \pi[/tex] for all [tex]k\in \mathbb{Z}[/tex].

Combine both situations to obtain:

[tex]\displaystyle x = \frac{\pi}{4} + 2\, k\, \pi[/tex] for all [tex]k \in \mathbb{Z}[/tex].

If x+y = nx+2 then x equals

Answers

Answer:

x+y =  nx+2

⇔x-nx = 2-y

⇔x(1-n) = 2-y

⇔x = (2-y)/(1-n)

Answer:

Hello,

Step-by-step explanation:

x+y=nx+2

x-nx=2-y

x(1-n)=2-y

if 1-n ≠0 (or n≠1) then

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

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