A cone has a surface area of 200 pi square inches. If the radius of the
cone is 10 inches, find the length of the slant height.

Answers

Answer 1

Answer:

[tex]20\:\mathrm{in}[/tex]

Step-by-step explanation:

The lateral surface area of a cone is given by [tex]A=\pi r\ell[/tex], where [tex]r[/tex] is the radius of the base of the cone and [tex]\ell[/tex] is the cone's slant height.

Solving for [tex]\ell[/tex]:

[tex]200\pi=10\pi\ell,\\\ell=\frac{200\pi}{100\pi}=\boxed{20\:\mathrm{in}}[/tex]

*Note: It is implied that the surface area of 200 pi square inches is lateral surface area and not total surface area, because it is impossible to obtain a total surface area of 200 pi with a radius of 10 inches.


Related Questions

The 3rd one please!
I’ll mark you the brainliest!!!!

Answers

Answer:

around 150 to 170 votes

Step-by-step explanation:

exactly atleast 160

15 · 20 = 12y ??
180° = 74° + C ??

Answers

Answer:

answer is 90 degree I think so

Out of the total students in a class, if the number of boys is 5 and the number of girls being 3, then find the ratio between girls and boys.​

Answers

Answer:

3:5

Step-by-step explanation:

The ratio between girls and boys is 3:5  ...   there are 3 girls for each set of 5 boys.

The ratio between girls and boys is 3 : 5 in the class.

What is the ratio?

The ratio is defined as a relationship between two quantities, it is expressed one divided by the other.

What are Arithmetic operations?

Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.

Given data as :

The number of boys in the class = 5 and

The number of girls in the class = 3,

So, total the total students in a class = 5 + 3 = 8

The ratio between girls and boys as : number of girls  / number of boys

The ratio between girls and boys = 3 / 5

Hence, the ratio between girls and boys is 3 : 5 in the class.

Learn more about the Ratio here :

brainly.com/question/1504221

#SPJ2

Niall has half dollar mary has a tenth of a dollar and jack has a hundredth of a dollar if they combine their money do the 4 students have more or less than a dollar

Answers

Answer: Students have less than a dollar.

Step-by-step explanation:

Niall has $1/2

Mary has $1/10

Jack has $1/100

Add these up to see if they reach 1.

= 1/2 + 1/10 + 1/100

Convert to decimals by dividing the numerator by the denominator:

= 0.5 + 0.1 + 0.01

= $0.61

Students have less than a dollar.

factorise completely

a). 3xy - 9x

b). x² - 4

c). 2x² + 5y + 1​

Answers

Answer:

a) 3x(y-3)

b) (x-2)(X+2)

Step-by-step explanation:

See the steps below:) You can also use the app photo math, you take a picture and it will give you the answer and explain the steps:)

10 Find the area of the semicircle. Either enter an exact answer in terms of 7 oruse 3.14 for T and enter your answer as a decimal. units​

Answers

Answer: Hi there I think I have the answer to your problem!

The area of the semi-circle = 76.93 square units

Given that the diameter of the circle d= 14

We know that Area of the circle

                  A = πr²

The radius of the                    Put π = 3.14

The area of the semi-circle

                 

Step-by-step explanation:

Hope I helped you have a good day and dont forget to give brainlist.

Help please thank you!

Answers

Answer:

Step-by-step explanation:

W(-4,-10) lies on third quadrant.

M(-12,0) lies on second quadrant or can say in x axis

C(8,3) lies on first quadrant.

K(11,-5) lies on fourth quadrant.

what is the tan K? need help

Answers

Answer:

i have no clue

Step-by-step explanation:

Simplify the expression. Write your answer in positive exponent form:
(9^3) ^3

Answers

Answer:

[tex]9^{6}[/tex]

Step-by-step explanation:

Asking me to write 20 words don't read this this is junk.

I need help with this problem ​

Answers

Answer:

D

Step-by-step explanation:

What's the slope for (1,-2) & (4,4)

Answers

Answer:

2

Step-by-step explanation:

When give two points, we can use the slope formula

m = ( y2-y1)/(x2-x1)

    = ( 4- -2)/(4-1)

    = ( 4+2)/(4-1)

    = 6/3

     = 2

Answer:

2

Step-by-step explanation:

When give two points, we can use the slope formula

m = ( y2-y1)/(x2-x1)

    = ( 4- -2)/(4-1)

    = ( 4+2)/(4-1)

    = 6/3

     = 2

BROOO CAN SOMEONE HELP ME !!!!!!!!!!!!!!!!

Answers

Answer:

BA = 12 cm

Step-by-step explanation:

BC = 5 because it is an isosceles triangle.

Then we use the Pythagorean Theorem on triangle ABD that [tex]\sqrt{13^{2} - 5^{2} }[/tex]= BA

That means that [tex]\sqrt{169 - 25} = \sqrt{144} = 12 = BA[/tex]

The answer is 12 cm

Describe the transformation of f(x) to g(x).
A. f(x) is shifted down units to g(x).
B. f(x) is shifted up units to g(x).
C. (x) is shifted up 2 units to g(x).
D. f(x) is shifted down 2 units to g(x).

Answers

Answer:

D

Step-by-step explanation:

what is the value of (-35) • (-5/7)

Answers

Answer:

56

Step-by-step explanation:

25

We'll start by getting rid of the negatives, because a negative times a negative equals a positive.

Multiply the whole number by the numerator first, then divide by the denominator.

35 x 5 = 175

175/7 = 25

Helpppppppppppp plsssssssssssssssssssssssssss!

Answers

Answer:

<FGH and <JKL are supplementary

<AED and <BEC are complementary

Step-by-step explanation:

For supplementary angles, the sum of the pair of angles must be 180degrees

Given;

<FGH = 109degrees

<JKL = 71degrees

Taking the sum

<FGH + <JKL

= 109 + 71

= 180

Since the sum of the angles is 180, hence <FGH and <JKL are supplementary

Similarly;

Given

<AED = 45degrees

<BEC = 45degrees

Taking the sum

<AED + <BEC

= 45 + 45

=90degrees

Since the sum of complementary angles is 90degrees, hence <AED and <BEC are complementary

(6x2 -5x + 10) - (2x2 -x +13)

Answers

Answer:

-4x + 5 ?

sorry if wrong

the radius of a circle is 6cm. the diameter of this circle is ____cm





hellppppp​

Answers

Answer:

12

Step-by-step explanation:

radius is half of diameter

Thє rαdíus f α círclє ís 6 cm. thє díαmєtєr σf thís círclє ís 12 cm .

➟ Rαdíus ís thє hαlf σf círclє

Vector u has a magnitude of 4 with a direction of 50°. Vector v has a magnitude of 6 with
a direction of 25°. Which vector components represent the sum of u + v?

Answers

Answer: <8.01, 5.60>.

Step-by-step explanation:

Vector:

[tex]v= (r\cos\theta,r\sin\theta)[/tex]

, where r = magnitude and [tex]\theta[/tex] = angle .

As per given,

[tex]u=(4\cos 50^{\circ}, 4\sin 50^{\circ})\\\\\approx(4(0.64),4(0.77))\\\\=(2.56, 3.08)[/tex]

[tex]v=(6\cos 25^{\circ}, 6\sin 25^{\circ})\\\\\approx(6(0.91),6(0.42))\\\\=(5.46, 2.52)[/tex]

Consider

[tex]u+v=(2.56,3.08)+(5.46,2.52)\\\\=(2.56+5.46,3.08+2.52)\\\\=(8.02,\ 5.60)[/tex]

Hence, the correct option is <8.01, 5.60>.

I need the answer ASAP

Answers

I think that’s 5\2 but I don’t remember

Help plz..And No links!! I repeat No links!!

Answers

Answer:

4m

Step-by-step explanation:

shapes are similar.

purple shape is double the red and 2x2 is four

so the answer is 4m

Answer:

a = 4m

Step-by-step explanation:

1m side is 2m, that 1 x 2

Therefore 2m side will 2 x 2 = 4m

The radius of a circle is 2 inches. What is the area of a sector bounded by a 45° arc?

Answers

Answer:

Step-by-step explanation:

Area = angle / 360 * pi * r^2

angle = 45

r = 2

pi = 3.14

Area = 45 / 360 * 3.14 * 2^2

Area = 365.2 / 360

Area = 1.57 square inches.

Answer:

a = π/2 in²   Exact answer

a = 1.5707963268  in²     Decimal approximation

Step-by-step explanation:

a = (∅/360) * πr²

a = (45/360) * π(4)

a = π/2 in²   Exact answer

a = 1.5707963268  in²     decimal approximation

An ironwoman race involves 3 swim legs and a beach run back to the start as shown in the figure.
What is the total distance covered in the race?

Answers

Answer:

593 m

Step-by-step explanation:

Total distance covered = perimeter of the trapezoid

= 100 + 75 + 250 + the length of the slant side (2nd swim)

Apply Pythagorean theorem to find the slant side (hypotenuse) since it forms a right triangle if we consider the distance between the parallel bases of the trapezoid.

Thus, let "x" represent the side length we are looking for.

Applying Pythagorean theorem, we have:

x² = 75² + (250 - 100)²

x² = 75² + 150²

x² = 28,125

x = √28,125

x = 167.705098 ≈ 168 m

✔️Total distance covered = 100 + 75 + 250 + 168 = 593 m

What is the first step in solving the following equation:

−1\2x − 33 = 33

Answers

Answer:

add 33 to both sides

Step-by-step explanation:

Given

- [tex]\frac{1}{2}[/tex] x - 33 = 33 ( add 33 to both sides )

- [tex]\frac{1}{2}[/tex] x = 66 ( multiply both sides by - 2 to clear the fraction )

x = - 132

Answer:

First step is to make x the subject of the equation.

Step-by-step explanation:

[tex]-\frac{1}{2} x - 33 = 33\\\\-\frac{1}{2} x= 33 + 33\\\\-\frac{1}{2} x = 66\\\\- x = 2 \times 66 = 132\\x = -132[/tex]

find x please help me this is due soon and I don’t know what to do

Answers

Answer:

116

Step-by-step explanation:

a line is 180 degrees so subtract 64 and you get 116, that is your angle

Given: these two lines are parrallel cut by a transversal, 4 is 64 degrees

because 4 is given we know 6 is also 64 becasue they are alternative interior angles

all straight lines measure to 180 degrees so 3 and 5 become 116 because 180-64=116 (we also know these lines are parallel becasue 4 and 5 are supplementary, they add up to 180 as well.)

becasue 5 is 116 8 needs to be 64 and becasue 8 is 64 to equal 180 7 needs to be 116 (again, they need to add up to 180 becasue they are a straight line)

What is the maximum potential profit for tent sales?

Answers

B is correct sorry if I get that wrong

estimate the following product in scientific notation, and then select best answer for the products power of 10.

(8.91 x 10²)(3.3 x 10¹²)

A. 2.7
B. 14
C. 15
D. 27

C is the correct answer.​

Answers

It’s 15 I know this.......

There are 2 quarters, 1 nickel, and 2 dimes in a pocket.
What is the probability of choosing a coin, not returning it to the pocket, and then choosing another of greater value?
A ^3 10
B ^6 25
C ^4 10
D ^8 25

Answers

Answer:

C

Step-by-step explanation:

Solve for the given variable.
88°+46°=6c + 4

Answers

Answer:

[tex]\huge\boxed{Answer\hookleftarrow}[/tex]

[tex]88 + 46 = 6c + 4 \\ 134 = 6c + 4 \\ 134 - 4 = 6c \\ 130 = 6c \\ \frac{130}{6} = c \\ 21.66 = c[/tex]

⎆ The value of c = 21.66.

# ꧁❣ RainbowSalt2²2² ࿐

me pueden ayudar a contestarlo!!
por favor!!​

Answers

Answer:

english!? sorry

Step-by-step explanation:

At a lunch stand, each hamburger has 50 more calories than each order of fries. If 2 hamburgers and 3 orders of fries have a total of 1700 calories, how many calories does 3 orders of fries have

Answers

Answer: 960 calories

Step-by-step explanation:

Given

Each hamburger has 50 more calories than each order of fries

Suppose each order of fries has [tex]x[/tex] calories

so, hamburger has [tex]x+50[/tex] calories

There are total of 1700 calories available. Thus, we can write

[tex]\Rightarrow 2(x+50)+3x=1700\\\Rightarrow 2x+3x=1700-100\\\Rightarrow 5x=1600\\\Rightarrow x=320[/tex]

So, each order of fries has [tex]320[/tex] calories

For 3 orders, it is [tex]320\times 3=960[/tex] calories

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