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

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.

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

Answers

Answer:

-4x + 5 ?

sorry if wrong

What is the maximum potential profit for tent sales?

Answers

B is correct sorry if I get that wrong

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 ࿐

what is the tan K? need help

Answers

Answer:

i have no clue

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

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

Answers

Answer:

around 150 to 170 votes

Step-by-step explanation:

exactly atleast 160

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

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]

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

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>.

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

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:)

I need the answer ASAP

Answers

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

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:

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:

I need help with this problem ​

Answers

Answer:

D

Step-by-step explanation:

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.

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

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

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

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)

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

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.

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.

15 · 20 = 12y ??
180° = 74° + C ??

Answers

Answer:

answer is 90 degree I think so

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.......

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

Other Questions
Select the correct answer.Which equation matches the function shown in the graph? solve the equation s - 12 equals 20ASAP pls What result allowed Dintzis to conclude that proteins are synthesized from the N terminus to C terminus The Mongol naval campaign against Japan in 1281 a was the largest seaborne expedition before World War II. b was aided by a favorable wind that the Chinese came to call kamikaze. c turned back because of the fear of disease. d was a complete success. On November 1, 2018, ABC signed a $100,000, 6%, six-month note payable with the amount borrowed plus accrued interest due six months later on May 1, 2019. ABC records the appropriate adjusting entry for the note on December 31, 2018. In recording the payment of the note plus accrued interest at maturity on May 1, 2019, ABC would: __________ Which one is the correct answer What is the surface area of a cylinder whose base radius is 7 cm and whose height is 8 cm?Round your answer to the nearest tenth. Which part of the neuron below is indicated by the arrow, and what is its function?A)The axon carries information through electrical impulses away from the cell body to the axon terminals.B)The axon contains the nucleus that controls all the activities of the cell.C)The dendrites regulate the substances that go in and out of the cell.D)The dendrites carry the electrical impulses from the signal receivers to the cell body. The statement below was made by Thomas Jefferson in 1786 letter to John Jay. "Our liberty, which cannot be guarded but by the freedom of the press..." Why is this right so important to a democratic society? a It keeps talented and creative writers employed b It helps the government keep track of public opinion c It provides a place for political candidates to advertise their campaigns d It keeps citizens informed about the actions of the government There are 100 students surveyed. 32 are taking Calcus, 45 are talking Spanish, 18 are taking both Calcus and Spanish. If a student is picked at random, what is the probability that the student is taking Calculus or Spanish. A)77%. B)45% C)95%. D)59% please help . please and thanks write 3 policies of mughal empire which help them carry out smooth government and administration. can our society ever be a place where we can value of human life ? why or why not . explain in 3 sentences ANIMAL ADOLESCENCE IS FILLED WITH TEEN DRAMA AND PEER PRESSURE - COMMONLITplease help!!!Which statement best expresses the central idea of the passage? A Elephants and human teenagers both go through mood swings. B Animals and humans all go through a necessary phase of adolescence. C Teenage dolphins demonstrate a lot of the same characteristics as human teenagers. D Humans and animals both demonstrate similar characteristics in all phases of their lives. . Why did merchants believe they deserved power during the Renaissance? how does competition limit the amount of individuals in populations? Answer quickly!!!!!!!!!! Helpp Based on the histogram above, which of the following statements must be true FIND THE MISSING SIDE LENGTHS!!!!! Which of the territories below was not part of the expansionism goals furthered by the spanish american war