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:

r = 6 inch

Step-by-step explanation:

Given that,

The height of a cone, h =8 inches

The slant height of the cone, l = 10 inches

We need to find the radius of the base. The relation between height, radius and the slant height of the cone is given by :

[tex]r=\sqrt{l^2-h^2} \\\\r=\sqrt{10^2+8^2} \\\\r=6\ inch[/tex]

So, the radius of its base is equal to 6 inches.


Related Questions

help me plzz pleased ​

Answers

Answer:

jeez, one lazy person must you be if you dont have time to finish this xD

answer is 181

Step-by-step explanation:

well first divide the two objects, a triangle, and a rectangle. Now we have no idea what the bottom of the triangle is so lets calculate that. 18 - 2 -5 = 11

so the triangles dimesions are a10, b11.  Now we have to implement the pythagorem theroem since it doesnt give us the side "c". its a simple a^2+b^2=c^2. so side "c" is 14.866. now we can calculate and add everything together. so 18*7=126. and the triangles area is 55. so add 126+55 and viola. you get 181. Im a bit skeptical that i got something  wrong but i hope its all correct. hope this helps!

I NEED HELP ON THIS QUESTION

Answers

Step-by-step explanation:

b=4, so

7²+4²=c²

49+16=c²

65=c²

Sq root both sides

8.06=c

Using the information in the Box-and-Whisker plot below, what is the 1st
Quartile?
A) 5
B) 12.5
OC) 20
OD) 27.5

Answers

Answer:

B. 12.5

Step-by-step explanation:

where the box ends on the left side is the 1st quartile.

Solve for . 3 = 8x - 5 (3x + 5)​

Answers

Answer:

x= -4

Step-by-step explanation:

3=8x-5(3x+5)

distribute

3=8x-15x-25

combime like factors

28= -7x

divide 28/ -7

x= -4

Solve the inequality. 2 < 6 - 3r and graph the solution

Answers

the answer is 3 because you subtract 6 - 3 = 3r

What function represents the pattern shown in the table?

Answers

Given:

The table of values of an exponential function.

To find:

The function for the given table of values.

Solution:

The general exponential function is:

[tex]y=ab^x[/tex]        ...(i)

Where, a is the initial value and b is growth factor.

From the given table it is clear that the function passes through the points (1,9) and (2,36). It means the function must be true for these two points.

[tex]9=ab^1[/tex]        ...(ii)

[tex]36=ab^2[/tex]       ...(iii)

On dividing (iii) by (ii), we get

[tex]\dfrac{36}{9}=\dfrac{ab^2}{ab}[/tex]  

[tex]4=b[/tex]  

Putting [tex]b=4[/tex] in (ii), we get

[tex]9=a(4)^1[/tex]

[tex]\dfrac{9}{4}=a[/tex]

Putting [tex]a=\dfrac{9}{4},b=4[/tex] in (i), we get

[tex]y=\dfrac{9}{4}(4)^x[/tex]

[tex]y=9(4)^{x-1}[/tex]

The function notation with variable n is:

[tex]f(n)=9(4)^{n-1}[/tex]

Therefore, the correct option is D.

What is the area of the parallelogram?
4 cmi
5 cm
9 cm
18 cm2
28 cm?
36 cm2
0 45 cm2

Answers

Answer:

36 cm2

Step-by-step explanation:

Answer:

36cm² your welcome

for brainiest:):):):):):):):)

Answers

Answer:

9. 81.3953% increase

10. 26.6667% decrease

Step-by-step explanation:

Hope this helps.

Correct answer will be brainliest

Answers

Answer:

Quadrilateral ABCD is a rhombus, because all four sides are congruent and adjacent sides are not perpendicular .

Step-by-step explanation:

Given :

A quadrilateral with its coordinates as follows:

Where  A (3, 1), B (4,4), C (7,5), D (6,2).

We will measure the length of the congruent sides by applying distance formula.

Distance formula = square root (x^2 - x^1)^2 + (y^2 - y^1)^2

So,  

AB = ( insert the coordinates using the formula )

BC = ( insert the coordinates using the formula )  

CD = ( insert the coordinates using the formula )

 

DA = ( insert the coordinates using the formula )

It all equals = squareroot 10

From the above measurement and looking into the diagram we can conclude that the Quadrilateral ABCD is a rhombus.  

In rhombus the adjacent sides are not perpendicular and its diagonals are of different length.

Which of the following is the correct factorization of the polynomial below?

Answers

Answer:

C

Step-by-step explanation:

p³ - 216q³ ← is a difference of cubes and factors in general as

a³ - b³ = (a - b)(a² + ab + b²) , then

p³ - 216q³

= p³ - (6q)³

= (p - 6q)(p² + 6pq + 36q²) → C

Answer:

C. (p - 6q)(p² + 6pq + 36q²)

Step-by-step explanation:

Equation at the end of step 1

[tex](p^{3} ) - (2^{3} 3^{3} q^{3} )[/tex]

Trying to factor as a Difference of Cubes:

Factoring:  p^3 - 216q^3

Theory: A difference of two perfect cubes, a^3 - b^3 can be factored into

(a-b) • (a^2 +ab +b^2)

Proof: [tex](a-b)(a^{2} +ab+b^{2} ) =[/tex]

[tex]a^{3} + a^{2} b+ab^{2} -ba^{2} -b^{2} a-b^{3} =[/tex]

[tex]a^{3} +(a^{2} b-ba^{2} )+(ab^{2} -b^{2} a)-b^{3} =[/tex]

[tex]a^{3} +0+0-b^{3} =[/tex]

[tex]a^{3} -b^{3}[/tex]

Check:  216 is the cube of 6

Check:  p^3 is the cube of p^1

Check:  q^3 is the cube of q^1

Factorization is:

[tex](p-6q)(p^{2} + 6pq+36q^{2} )[/tex]

Trying to factor a multi variable polynomial :

Factoring: p^2 + 6pq + 36q^2

Try to factor this multi-variable trinomial using trial and error

Factorization fails

Final Result:

(p - 6q)(p² + 6pq + 36q²)

Find the measure of the central angle of the circle if the Area of the sector is 120 square cm. and the radius is 6 cm.

a . ) 135
b . ) 120
c . ) 105
d . ) 85

explanations would be super
appreciated too

Answers

Wjwjjwjwkwoqowkms,skwoowlwlwkskkskskxkx181929292920001103

X-20=62 please Help thanks

Answers

Answer:

x = 85

Step-by-step explanation:

x - 20 = 62

add the 20 on both sides                          x - 20 = 62

                                                                        +20    +20

add 62+20 to get 85                                  x =  85

What is the solution set of the quadratic inequality x^2+x-2 ≥ 0

{x| x ≤ -2 or x ≥ 1}
{x| x ≤ -1 or x ≥ 2}
{x| x ≥ -2 or x ≤ 1}
{x| x ≥ -1 or x ≤ 2}

Answers

the answer is the first one

GEOMETRY HELP PLEASE!! WILL MARK BRAINLEIST!
4

Answers

Given:

PQRS is a rectangle.

X is the midpoint of SR.

To find:

The measure of QX.

Solution:

It is given that X is the midpoint of SR. Draw a perpendicular on PQ from point X as shown in the below figure.

Now, the line XY divides the rectangle PQRS into two equal squares of sides 4 units.

The diagonal of a square is:

[tex]d=a\sqrt{2}[/tex]

Where, a is the side length of the square.

QX is the diagonal of the square whose side length is 4 units. So, the length of QX is:

[tex]d=4\sqrt{2}[/tex]

[tex]d=5.656854[/tex]

[tex]d\approx 5.7[/tex]

Therefore, the measure of segment QX is about 5.7 units.

Compare the properties of the function f(x) = 2x2 + 4x + 5 to the function given by the table. Which statements are correct?

Answers

Answer:B, C, D

Step-by-step explanation:

I did the USATESTPREP

MY FRIEND NEEDS THIS RN (40points) PLEASE AND TYY

Answers

Answer:

(2,2)

Step-by-step explanation:

Simplify the following [³√64a³]-¹​

Answers

A 4a
B. 1/8a
C. 8a
D. 1/4a

If f(x) = 3^(x + 4), find f(2).

Answers

Answer:

18

Step-by-step explanation:

2) What is the measure of

Answers

Answer:

I thought it is 44 since ACB is 88 and it is a central angle with respect to the arc AB while ADB is inscribed angle then it is 1/2 of arc AB then it is 1/2 of 88 which is 44



1
Aaron participated in a 45-mile bikeathon to raise money for his favorite charity. The table shows Aaron's times at the beginning and end of the ride.
(a)
Time (hours)
o
Distance (kilometers)
0
3.6
45
Part A
What is Aaron's average biking speed in kilometers per hour?
kilometers per hour
APR
Ok

Answers

The answer is 12.5 km/hr

45/3.6=12.5

Which choice is equivalent to the expression below?
6 + 18 +3 15-323
A. 5/5
B. 345 + 6
C. 513 - 6
D. 215 - 24

Answers

Hopes this helps if I am wrong I am so sorry:

Answer: B.

find the product of 10.2 and 6.3​

Answers

Answer:

10.2*6.3=64.26

Step-by-step explanation:

Solve 102*63, then move the decimal point two numbers from the right:

Since 102*63=6426, then moving the decimal point two numbers from the right will mean 10.2*6.3=64.26

Answer:

64.26

Step-by-step explanation:

This is a simple multiplication

When you 'multiply' or 'times' even a product of a number you add it to itself a number of times, for this problem, 10.2 multiplied by 6.3 is the same as saying 10.2 + 10.2 + 10.2 = 64.26. Multiplication is therefore a quicker way of adding the same number many times, for example, 10.2 × 6.3 = 64.26. Therefore, the product of 10.2 and 6.3​ is 64.26.

Round 771 to the nearest hundred

Answers

Answer:

800

Step-by-step explanation:

700________________750___________771________800

771 is over 750 so it would be rounded to 800

Answer: 800

Step-by-step explanation:

771 is 50+ thus it round over to 800.

Which expression is equivalent to 4c + 7 -2C - 3?
a. 2c + 4
b. 2c + 10
C. 6C +4
d. 60 + 10

Answers

the answer is (A): 2c+4

A plane travels a distance of 21,000 kn in a time of 3.2 hours what is its average speed rounded to the nearest whole number

Answers

Answer:

6563kmph

Step-by-step explanation:

take 21,000 divided by 3.2 hours to get the speed

21,000/3.2 = 6562.5

It says to round 6562.5 to the nearest whole number so its 6563

Thank you to anyone who helps

Answers

Answer:

x=16 or 23.32381

Step-by-step explanation:

which is not equivalent to 24y-12​

Answers

Answer:

what are the answer choices

Step-by-step explanation:

The linear expression 24y - 12 is not equivalent to the expression 2(12y - 12) option (A) 2(12y - 12) is correct.

What is an expression?

It is defined as the combination of constants and variables with mathematical operators.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have a linear expression:

= 24y - 12

From the above linear expression take 2 as a common factor:

= 2(12y - 6)

Take 2 as common factor again:

= 2(2)(6y - 3)

= 4(6y - 3)

Now, take 3 as a common factors:

= 12(2y - 1)

The expression 24y - 12 is equivalent to the expressions 2(12y - 6), 4(6y - 3), and 12(2y - 1).

Thus, the linear expression 24y - 12 is not equivalent to the expression 2(12y - 12) option (A) 2(12y - 12) is correct.

Learn more about the expression here:

brainly.com/question/14083225

#SPJ2

the radius of a circle is 13 find its area un terms of pi​

Answers

Answer:

530.66

Step-by-step explanation:

A = πr²

13 x 13 = 169

169 x 3.14 = 530.66

Let me know if this helps!

help me out here? (check the attached image if you're somewhat good at geometry)

Answers

Answer:

14

Step-by-step explanation:

you just look at how much everything equals and that it is adding by 2

State if the triangles in each pair are similar. If so, state how you know they are similar

A.They are similar by the AA rule
B.They are not similar
C.They are similar by the SSS rule

Answers

Answer: C. They are similar by the SSS rule

Step-by-step explanation:

There are three ways to prove triangle similar

AA similar theorem--Two corresponding angles in two triangles are the congruentSAS similar theorem--Two corresponding pairs of sides of two triangles are proportional, and the angle in between two sides are congruentSSS similar theorem--All corresponding sides of two triangles are proportional

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

Here, we see in the figures, the side lengths are given, and there are no angles. So, supposedly, we are going to use SSS similar theorem.

Solve

MN corresponds to UV

ML corresponds to UT

LN corresponds to TV

MN/UV=24/8=3

ML/UT=33/11=3

LN/TV=42/14=3

∴MN/UV=ML/UT=LN/TV

∴They are similar

Hope this helps!! :)

Please let me know if you have any questions

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