If a cone has a height of 8 inches and a side measurement of 10 inches, what is the radius of its base?

Answers

Answer 1

Answer:

The radius of its base is 6 inches

Step-by-step explanation:

The radius of the base of a cone r , the slant height of the cone l and the height of the cone h forms a right triangle, with the slant height being the hypotenuse of the right triangle

Mathematically, since we have a right triangle, we can find the radius of the base by the use of Pythagoras’ theorem

According to Pythagoras’ theorem; the square of the hypotenuse equals the sum of the squares of the two other sides

Thus,

l^2 = r^2 + h^2

l = 10 inches

r = ?

h = 8 inches

10^2 = r^2 + 8^2

100 = r^2 + 64

r^2 = 100-64

r^2 = 36

r = √(36)

r = 6 inches


Related Questions

Write an equivalent expression for 3(2x + 4y).

Answers

Answer:

6x+12y

Step-by-step explanation:

I hope this helps, and STAYYY!!!!!! Fresh!

PLEASE HELP ASAP
Find the surface area and the volume of the prism.

Answers

Answer:

Surface Area: 1320

Volume: 2160

Step-by-step explanation:

Before calculating Volume and Surface Area, we need to calculate the missing side of the right triangle using the Pythagoreon theorem: [tex]a^2+b^2=c^2[/tex]

where c is the hypotenuse, 26.

Substituting the values into the equation you get:

10^2 + b^2 = 26^2

100 +b^2 = 676

Subtract 100 from both sides.

b^2 = 576

b = 24

Now that we have the missing side, we can calculate the rest of the question.

Surface Area =  2([tex]\frac{1}2[/tex] × 24 × 10) + (18 × 26) + (18 × 24)  +(18 × 10)

240 + 468 + 432 + 180 = 1320 unit^2

Volume = [tex]\frac{1}2[/tex] × base × height × length

[tex]\frac{1}2[/tex] × 24 × 10 × 18 = 2160 unit^2

Brainliest if you don't mind ;)

El largo de una casa es el triple de su ancho. Si a la longitud se suma 40 metros y al ancho 1 metro, el área se triplica

Answers

Answer:

el ancho es de 8 metros y el largo es 3 * 8 = 24 metros

width is 8 meters and length is 3*8= 24 meters

Step-by-step explanation:

Spanish

Si el ancho de la casa de la casa es x, entonces el largo de la casa es 3x.

Entonces el área = largo * ancho

área = 3x * x = 3x²

3 multiplicado por área = 9x²

9x² = (3x + 40) (x + 1)

9x² = 3x² + 3x + 40x +40

9x² = 3x² + 43x +40

0 = -6x² + 43x +40

0 = 6x²- 43x - 40

6x²- 43x - 40 = 0

Usando ecuación cuadrática

a = 6, b = -43, c- = -40

x = - b ± √b²- 4ac / 2a

x = 43 ± √1849- 4 (6) (- 40) / 12

x = 43 ± √1849 + 960/12

x = 43 ± 53/12

x = 43+ 53/12 y x = 43-53 / 12

x = 96/12 y x = -10/12

x = 8 y x = - 5/6

Ignorando el valor negativo x = 8 el ancho es de 8 metros y el largo es 3 * 8 = 24 metros

English

The length of a house is three times its width. If 40 meters are added to the length and 1 meter to the width, the area is tripled

If the width of the house of the house is x then the length of the house is 3x.

Then the area = length * breadth

area= 3x*x= 3x²

3 times area= 9x²

9x²= (3x+40 )(x+1)

9x²= 3x²+ 3x +40x +40

9x²= 3x²+ 43x  +40

0 = -6x²+ 43x  +40

0 = 6x²- 43x - 40

6x²- 43x - 40= 0

Using quadratic equation

a= 6 , b= -43 , c-= -40

x= - b±√b²- 4ac/ 2a

x= 43±√1849- 4(6)(-40)/ 12

x= 43±√1849+960/ 12

x= 43± 53/ 12

x= 43+ 53/ 12  and x= 43- 53/ 12

x= 96/ 12       and x= -10/ 12

x= 8    and x= - 5/6

Ignoring the negative value  x= 8  width is 8 meters and length is 3*8= 24 meters

On Tuesday the cafeteria sold pizza slices and burritos. The number of pizza slices sold was 20 less than twice the
number of burritos sold. Pizza sold for $2.50 a slice and burritos sold for $3.00 each. The cafeteria collected a total of
$358 for selling these two items. Homework Help
a. Write two equations with two variables to represent the information in this problem. Be sure to define your
variables by writing let statements.
b. Solve your system from part (a). Then determine how many pizza slices were sold.

Answers

Answer:

82

Yes, that is the answer. Try it and you'll get it correct, I think...

Explain why each statement is true. 5 + 2 + 3 = 5 + (2 + 3)

Answers

Answer:

Associative property of addition. Grouping different addends does not change the sum.

Step-by-step explanation:

5 + 2 + 3 = 5 + (2 + 3)

10 = 5 + (5)

10 = 10

What is the area of these trapezoid

Answers

Answer:

1. 54ft squared  2. 48 cm squared

Step-by-step explanation:

Fiona is seven years less than twice the age of Carlos. The combined age of
Fiona and Carlos is 53 years.
Which of the following systems of equations represents the situation?
A.F= 2C – 7
C+F = 53
B.C= 2F - 7
C + F = 53
C.F = 53 – 7
C + F = 2C

How old is fiona and how old is Carlos

Answers

It’s C. Carlos is 20 and Fiona is 33.

I got 80% on a major grade. It's not that bad, right?

Answers

Answer:

no, that's good

Step-by-step explanation:

I'm pretty sure that's a b, so it's good

Answer:

No thats good cause last year i had a 60% as my major grade but i got 92% this year

Step-by-step explanation:

The seagull population on a small island in the Atlantic Ocean can be calculated using the formula

P(t) = 5.3/11/?, where P is the population in hundred thousands, and t is in years. What will the seagull

population on the island be after 5 years? (Round to the nearest tenth.)

a. about 41.6 hundred thousand

c. about 172.4 hundred thousand

about 3.7 x 10' hundred thousand d. about 66.5 hundred thousand

Answers

The correct relation for the sea gull population is: P(t) = 5.3t^(11/7)

Answer:

d. about 66.5 hundred thousand

Step-by-step explanation:

Given that :

P(t) = 5.3t^(11/7)

Population, P is in hujdred thousand ; t = number of years

Population after 5 years ;

t = 5

P(5) = 5.3 * 5^(11/7)

P(5) = 5.3 * 5^1.5714285

P(5) = 5.3 * 12.542422

P(5) = 66.474840

P(5) = 66.5 (approximately)

Hence, population after 5 years will be about 66.5 hundred thousand.

A grocery store recently sold 10 cans of soup, 5 of which were lentil soup. What is the experimental probability that the next can sold will be lentil soup?

Write your answer as a fraction or whole number.



plz halp me

Answers

Answer: the answer is 1/2

Step-by-step explanation: I just got the answer form IXL

Answer:

1/2 is the answer

Step-by-step explanation:

1/2

Help meeee no Decimal answers.

Answers

Answer: 1,145,375cm^3

Step-by-step explanation:

Answer: Answer in photo below.

Hope this helps!

For a function,x cannot what?

a) be zero

b)repeat

c)multiply

d) even

Answers

A po ang tamang sagot sana makatulong

help?? lols ,,

will mark brainliest, i guess

Answers

Answer:

-80x + 28y - 56

4(-20x + 7y - 14)

HELP ASAP!!!! Rosa has 4 1/2 pounds of pizza dough. She uses 3/4 of a pound for one pizza. How many pizzas could be made from Rosa's dough?

Answers

Answer:

6

Step-by-step explanation:

3/4

1 1/2

2 1/4

3

3 3/4

4 1/2

Sorry if this doesn't make sense, I hope I helped though!

Classify this triangle by its sides and angles.

Answers

Answer:

choice 3) acute and equilateral

Step-by-step explanation:

Acute + Equilateral

2) Find the slope of the line

Answers

assuming each line goes up by 1. we basically need to find a number that goes by rise/run. to get to the next point we need to go up 1, then to the left by 3. notice the slope is negative so we need to add a negative integer.

answer:

-1/3 (C)

hope this helps! :D
Answer is C! Hope this helps

Solve for s -5s=−13 .

Answers

Answer:

13/4

Step-by-step explanation:

for these types of problems i recommend symbolab

Marina picked X apples in Orchard she and her friends 86 then leaving 36 Apples The number of apples can be represented by the equation X -6 equals 36 plot a point on the number line to represent X

Answers

Answer:

[tex]x = 42[/tex]

See attachment for number line (see that the dot is on 42)

Step-by-step explanation:

Given

[tex]x - 6 = 36[/tex]

Required

Plot x on a number line

First, we solve for x

[tex]x - 6 = 36[/tex]

Add 6 to both sides

[tex]x - 6 +6= 36+6[/tex]

[tex]x = 42[/tex]

See attachment for number line

HELP ME PLEASE ............................

Answers

you need to isolate y
y = 37/5 or y = 7.4

Please help if you know the answer please

Answers

The answer is 9000 g

ticket to the school play cost $9 for adults and $6 for students. The Smith Family bought 4 adult tickets and 5 student tickets. The Jones family bought 3 adult tickets and 7 student tickets. What was the difference in the amount spent by the two families?

Answers

Answer:

Difference is $3

Step-by-step explanation:

The Jones Family bought 3 adult tickets and 7 student tickets, so they spent 27+42=$69 spent.

The Smith Family bought 4 adult tickets and 5 student tickets, so they spent 36+30=$66 spent.

The difference between them is 69-66=$3.

So, the difference between how much the two families spent is $3.

Answer:

3$

Step-by-step explanation:

Smith family:

9x4=36

5x6=30

total=66$

Jones family:

3x9=27

7x6=42

total=69$

difference=3$

What fractions that are less than 3/5

Answers

Answer:

1/8 and 1/12

Step-by-step explanation:

Determine the value of the expression: 5^4 × 5^8/5^6 Write your answer in exponential notation (in exponent form).

Answers

Answer:

5⁶

Step-by-step explanation:

We have

[tex]5^4*\frac{5^8}{5^6}\\\frac{x^n}{x^y}=x^{n-y}\\\frac{5^8}{5^6}=5^{8-6}=5^2\\x^n*x^y=x^{n+y}\\5^4*5^2=5^6[/tex]

On the map below, 1⁄4 inch represents one
mile. Candler, Canton, and Oteen are three
cities on the map.

If Candler and Oteen are 3 1⁄2 inches apart
on the map, what is the actual distance
between Candler and Oteen in miles?

Answers

Where’s the map at homie?

Step-by-step explanation:

8. Mystery Number: a number is multiplied by 5. The product is then added to 11. The square root of that sum is equal to 9. Find the number. Show your work or steps.​

Answers

Answer:

14

Step-by-step explanation:

14x5=70

70+11=81

√81=9

please help, thank you!

Answers

Answer:

Triangle OBA is a right angled triangle since a radius meets a tangent at an angle of 90°..So use pythogrus theorem to find the radius.

HURRY 50 POINTS
Which is the correct classification and decimal expansion of StartFraction 5 Over 8 EndFraction?
irrational number, 0.6ModifyingAbove 25 with bar
irrational number, 0.625
rational number, 0.625
rational number, 0.6ModifyingAbove 25 with bar

Answers

Answer:

the correct classification and decimal expansion of StartFraction 5 Over 8 EndFraction

=5/8=0.625[irrational number]

Answer:

The correct answer is (b) i believe

Step-by-step explanation:

   Have a great day!

-x^2+6x-5=f(x)
find the vertex and x/y intercepts

Answers

x-intercept : (5,0) , (1,0)
y-intercepts : (0,-5)

Can anybody help me with this problem?

Answers

Answer:

$830

Step-by-step explanation:

x/2=200+215

x/2=415    multiply by two on both sides to get x alone

x=830

In ABC, m∠A=10 and m∠B=145. Select the triangles that are similar to ABC.

Answers

Answer:

A

Step-by-step explanation:

A triangle has 180 degrees.

So, 10 + 145 + x = 180

x = 25

This means that the angles in the triangle are:

10, 145, and 25

Using this information, only A has the same values so it is the answer

Other Questions
Plz help me find perimeter and area you do not have to do both but plz help no links!!!!! Find the perimeter of each polygon. Assume that lines which appear to be tangent are tangent. Tessa and Kari are swimming partners in series of practice swims they each swim longer and longer distances without changing pace they each set up a table to show the ratios of distance to time for their swims. Suppose you are a merchant and you decide to use a biometric fingerprint device to authenticate people who make credit card purchases at your store. You can choose between two different systems: System A has a fraud rate of 1% and an insult rate of 5%, while System B has a fraud rate of 5% and an insult rate of 1%. Fraud rate is the chance that another person is incorrectly authenticated as you, while insult rate is the chance that you are not successfully authenticated as you.Required:Which system would you choose and why? How is the ocean biome and the tundra biome different with climate change? Which is the best summary of A Wolf Story?A.) Connor, a young farmer, stops at a strange home after traveling for miles. He is tired and hungry. The creatures that live in the home are strange and scary. They appear to be wolves who can take human form. They laugh at Connor when he tells them his story, so Connor gets angry and decides to leave. But the creatures assure him that he does not need to fear them, so he stays the night.B.) A young farmer finds out that two of his cows are missing. He goes out to search for his cows, but he doesnt plan very well. He ends up hungry and tired at night and cant find his way home. So he has to stop at a strange house for help. The creatures who live there can transform into wolves. One of them gives Connor two replacement cows.C.) A young farmer named Connor helps a wolf by removing a thorn from its side and giving it a drink of water. In return, the wolf, who can transform into a human, gives Connor two cows that end up becoming the finest in the whole country.D.) Connor, a young farmer, goes in search of two missing cows. He grows tired and hungry, so he stops at a strange home to rest for the night. Even though the creatures are part-wolf and dangerous, one of them remembers when Connor took a thorn from his side and gave him water. In return for this past kindness, he replaces Connors missing cows with two that become the finest in the whole country.Brainlyist Coal gas is produced at a gasworks. Pollutants in the gas are removed by scrubbers, which become less and less efficient as time goes on. The following measurements, made at the start of each month, show the rate at which pollutants are escaping (in tons/month) in the gas: Time (months) 0 1 2 3 4 5 6 Rate 5 7 9 14 22 31 40 A. Make an overestimate and an underestimate of the total quantity of pollutants that escape during the first month. overestimate HELP I attracted a picture???? Place the events in order to describe how money the Fed adds to the economy starts to be multiplied. The reserve requirement in this example is 10%. a. The bank lends $900 to a customer needing a loan.b. The store owner deposits the $900 in another bank.c. The customer spends the $900 at a store.d. The bank sets $100 aside as required reserves.e. The Fed buys a security from a bank for $1,000. Choose the correct simplification of a^5b^6/a^4b^4 What forms of energy are constantly being given off by the sun? A. Light and heat B. Light and wind C. Heat and nuclear D. Hydroelectric and nuclearNEW ANSWER ASAP This question has two parts. First, answer Part A. Then, answer Part B.Part ARead the sentences from the article.You might think that a full moon will help you see more stars, but the moon's brilliance can make it difficult to see some stars. Wait for a night when there is more darkness.What does the word brilliance mean in the sentences? A. distance B. light C. shape D. sizePart BWhich word from the sentences means the opposite of brilliance? A. full B. stars C. difficult D. darkness Answer the following questions (any ten)(0Tam 17 years old. My sister is younger than me. My sister is(a) 18 years old(b) 20 years old(c) 22 years old(d) 16 years old Please help Ill mark you as brainliest if correct! Suresh Co. expects its five departments to yield the following income for next year. Dept. M Dept. N Dept. O Dept. P Dept. T TotalSales $82,000 $44,000 $78,000 $65,000 $43,000 $312,000Expenses Avoidable 17,300 45,400 18,000 21,500 51,300 $153,500Unavoidable 57,800 21,600 5,700 54,300 20,300 $159,700Total expenses 75,100 67,000 23,700 75,800 71,600 313,200Net income (loss) $6,900 $(23,000) $54,300 $(10,800) $(28,600) $(1,200)Required:Recompute and prepare the departmental income statements (including a combined total column) for the company under each of the following separate scenarios. Find the volume of each figure. Round to the nearest hundredth if necessary. Use the inequality 12>6(12x+2). Complete parts a and b. Which branch of the military is MOST likely to patrol the coastline? 35. Drowsy driving killspeople each year.A. 150B. 500C. 1,000D. 5,000 Eliasson discusses his studio more as a 'laboratory' than a studio. What is the juncture of art and science in his pieces?