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

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:

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

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!

Help meeee no Decimal answers.

Answers

Answer: 1,145,375cm^3

Step-by-step explanation:

Answer: Answer in photo below.

Hope this helps!

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

What is the area of these trapezoid

Answers

Answer:

1. 54ft squared  2. 48 cm squared

Step-by-step explanation:

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...

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

Answers

Answer:

6x+12y

Step-by-step explanation:

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

Classify this triangle by its sides and angles.

Answers

Answer:

choice 3) acute and equilateral

Step-by-step explanation:

Acute + Equilateral

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

Solve for s -5s=−13 .

Answers

Answer:

13/4

Step-by-step explanation:

for these types of problems i recommend symbolab

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.

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

Answers

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

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 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 ;)

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]

help?? lols ,,

will mark brainliest, i guess

Answers

Answer:

-80x + 28y - 56

4(-20x + 7y - 14)

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

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:

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!

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$

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

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.

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

For a function,x cannot what?

a) be zero

b)repeat

c)multiply

d) even

Answers

A po ang tamang sagot sana makatulong

What fractions that are less than 3/5

Answers

Answer:

1/8 and 1/12

Step-by-step explanation:

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

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

Answers

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

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.
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