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The volume of the cone is V = 381.15 cu.cm

The curved surface area of the cone is given by

A = πrl

The slant height given in the question is

l = 10.5 cm

A = 115.5 sq.cm

radius = ?

Height = ?

Volume = ?

Using the Curved Surface Area Formula

115.5 = π * r * 10.5

taking π = 22/7

r = 3.5 cm

The slant height is given by

[tex]\rm l = \sqrt{ r^2 + h^2}[/tex]

Therefore the height is

[tex]\rm h = \sqrt{ 10.5^2 -3.5^2}[/tex]

h = 9.9 cm

The volume of the cone is

V = π r²h

V = (22/7) * 3.5 * 3.5 * 9.9

V = 381.15 cu.cm

The volume of the cone is V = 381.15 cu.cm

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Answer:

See below

Step-by-step explanation:

If you can't tell just by looking at them, you will need to convert them all to fractions of a common denominator .....in this case (the smallest) common denominator would be 18

1/2 = 9/18  

1/3 = 6/18

1/6 = 3/18

4/9 = 8/ 18             so now you can see least to greatest is

                                    1/6    1/3    1/2   4/9

Answer:

Answer:

The answer is C

Step-by-step explanation:

Just got it.

Answer:

radius = 8

Step-by-step explanation:

the equation of a circle centred at the origin is

x² + y² = r² ( r is the radius )

x² + y² = 64 ← is in this form

with r = [tex]\sqrt{64}[/tex] = 8

Answer:

(3,-4)

Step-by-step explanation:

Answer:

M=(11,−2)

Step-by-step explanation:

Find the midpoint for [tex]P = \left(6, -9\right)P=(6,-9) \text{and} Q = \left(16, 5\right)Q=(16,5).[/tex]

The midpoint for two points P and Q is a point M whose coordinates is the half-sum of the corresponding coordinates of the two points.

Thus, [tex]M = \left(\frac{6 + 16}{2}, \frac{-9 + 5}{2}\right) = \left(11, -2\right)[/tex]

M=(11,−2)

Answer:

They will always intersect at one point

Step-by-step explanation:

^^

An expression is defined as a set of numbers, variables, and mathematical operations. The value of g(f(x)) is (x²-10x+13) / (x²-10+29).

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The complete questions is,

Write g(f(x)) as an expression in terms of x

f(x) = x-5

[tex]g(x) = \dfrac{x^2-12}{x^2+4}[/tex]

The value of g(f(x)) as an expression in terms of x can be written as,

[tex]g(f(x)) = \dfrac{(x-5)^2-12}{(x-5)^2+4}\\\\\\g(f(x)) = \dfrac{x^2+25-10x-12}{x^2+25-10x+4}\\\\\\g(f(x)) = \dfrac{x^2-10x+13}{x^2-10+29}[/tex]

Hence, the value of g(f(x)) is (x²-10x+13) / (x²-10+29).

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Answer:

where is  the question  Skidoo

this is just a statement

Answer: 4²

Step-by-step explanation:

There is some rule but just remember:

1. parenthesis

2. exponents

3. division/multiplication

4. subtraction/addition

The vale of x is 54°.

The tangent is defined as a line touching circles or an ellipse at only one point.

We have,

As, the tangent is perpendicular to the radius of the circle.

So, using Angle sum property in a triangle

x+90+36= 180

x+126 = 180

x= 54°

Hence, the value of x is 54°

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The equation of the graph is y ² = 16x.

A parabola is a U shaped curve ,all the point of which is equidistant from a point called as focus and a line called as Directrix .

In the given question , the graph is a horizontal parabola as the directrix is x = -4 , and as the focus lies on the right side , it is opening towards the right.

The equation for the horizontal parabola is given b y

(y-k)² = 4p(x-h)

h , k is the mid point of focus and the directrix , i.e. the vertex and is given by

h = ([tex]\rm x_f[/tex] +a )/2 , k = [tex]\rm y_f[/tex]

h = (4 -4)/2 , k = 0

h=0 , k = 0

The vertex is 0 , 0

p = (|[tex]\rm x_f[/tex] - a|)/2 = 8/2 = 4

Therefore the equation of the graph is

y ² = 4 * 4 *x

y ² = 16x

The equation of the graph is y ² = 16x.

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Answer:

V = 4*8

V= 32

(x+x) * (x+x) = 2x * 2x = 4x^2

The value of the expression (82/n – 26) at n = 2 will be 15. Then the correct options are B, D, E, and G.

Division means the separation of something into different parts, sharing of something among different people, places, etc.

Tawny wrote an expression to represent “the quotient of 82 and a number, decreased by 26.”

She then evaluated the expression when n = 2.

Then the expression will be

⇒ 82 / n – 26

If the value of n is 2, then the value of the expression will be

⇒ 82 / 2 – 26

⇒ 41 – 26

⇒ 15

Then the correct options are B, D, E, and G.

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Answer:

a

Step-by-step explanation:

2^3 = 8; 4^3 = 64; 8/64 = 1/8

(g^5)^3 = g^15

(h^2)^3 = h^6

g^15/8h^6

a) 26 teenagers are in the group.   21+3+2=26

b) 21 like to drink coffee or tea only.    (3 like both and 2 like neither, so 21 enjoy one or the other)

Answer:

n = -5

Step-by-step explanation:

Given:

  [tex]\dfrac{y^4 \cdot y^n}{y^2}=y^{-3}[/tex]

Multiply both sides by y²:

[tex]\implies \dfrac{y^4 \cdot y^n}{\diagup \!\!\!\!\!y^2} \cdot \diagup \!\!\!\!\!y^2=y^{-3}\cdot y^2[/tex]

[tex]\implies y^4 \cdot y^n=y^{-3} \cdot y^2[/tex]

[tex]\textsf{Apply exponent rule} \quad a^b \cdot a^c=a^{b+c}:[/tex]

[tex]\implies y^{4+n}=y^{-3+2}[/tex]

[tex]\implies y^{4+n}=y^{-1}[/tex]

[tex]\textsf{Apply exponent rule} \quad a^{f(x)}=a^{g(x)} \implies f(x)=g(x):[/tex]

[tex]\implies 4+n=-1[/tex]

Solve for n by subtracting 4 from both sides:

[tex]\implies 4+n-4=-1-4[/tex]

[tex]\implies n=-5[/tex]

Answer:

===========

Given equation:

Solve it for n:

===========

Used properties:

The time needed by Lola to sign all the 96 invitations is 508.8 second

Product is the number obtained when two numbers are multiplied with each other

It is given that

Total Invitations that Lola needs to sign = 96

Time taken to sign full name = 5.3 seconds

Total time needed by Lola to sign invitations is  

96 * 5.3

= 508.8 seconds

Therefore the time needed by Lola to sign all the 96 invitations is 508.8 second

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Answer:33.65

Step-by-step explanation:

6.73 x 5= 33.65

Answer: six ways

Step-by-step explanation: The pairs when the cube is rolled that are less than five would be; (1,1), (1,2), (1,3), (2,1), (2,2), (3,1) since each cube is out of six.

Answer:

B, D

Explanation:

8(-10x+3.5y-7)

= -80x + 28y - 56

4 (-20x + 7y - 14)

= 8(-10x+3.5y-7)

= -80x + 28y - 56

Answer:

B) -80x + 28y - 56

D) 4 (-20x + 7y - 14)

Original Expression:

⇒ 8(-10x+3.5y-7)

⇒ -80x + 28y - 56

Now confirmed that option B is correct when the expression is simplified which makes option A and C not applicable.

For option D:

⇒ 4 (-20x + 7y - 14)

⇒ -80x + 28y - 56

Option E is not correct as:

⇒ -4 (-20x + 7y - 14)

⇒ 80x - 28y + 56

Answer:

[tex]\frac{3}{11}[/tex]

Step-by-step explanation:

assuming the recurring digits are 0.272727.... , then

we require 2 equations with the repeating digits placed after the decimal point.

let x = 0.2727.... (1) ← multiply both sides by 100

100x = 27.2727... (2)

subtract (1) from (2) thus eliminating the repeating digits

99x = 27 ( divide both sides by 99 )

x = [tex]\frac{27}{99}[/tex] = [tex]\frac{3}{11}[/tex] ← in simplest form

Answer:

Jimrgrant1 has already answered this correctly, 3/11.

Step-by-step explanation:

I took 1.0 and divided it by 0.272727 to give 3.666666 . . .

I looked for value that would convert this into a whole number when multiplied.  3 times 3.666666 . . . is equal to 11.  

That would mean a fraction equal to 0.272727 . . . would be 3/11

m∠ZAB + m∠CAB = 180° by the angle addition postulate

m∠CAB + m∠ACB + m∠CBA = 180° because of the triangle angle sum theorem

m∠ZAB = m∠ACB + m∠CBA using the subtraction property

An equation is an expression that shows the relationship between two or more numbers and variables.

m∠ZAB + m∠CAB = 180° by the angle addition postulate

m∠CAB + m∠ACB + m∠CBA = 180° because of the triangle angle sum theorem

m∠ZAB = m∠ACB + m∠CBA using the subtraction property

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Answer:

We start with triangle ABC and see that angle ZAB is an exterior angle created by the extension of side AC. Angles ZAB and CAB are a linear pair by definition.

We know that m∠ZAB + m∠CAB = 180° by the

✔ angle addition postulate

.

We also know m∠CAB + m∠ACB + m∠CBA = 180° because

✔ of the triangle angle sum theorem

.

Using substitution, we have m∠ZAB + m∠CAB = m∠CAB + m∠ACB + m∠CBA.

Therefore, we conclude m∠ZAB = m∠ACB + m∠CBA using the

✔ subtraction property

.

Step-by-step explanation:

The vertex is the lowest/highest point, depending on if the parabola opens upwards or downwards.

So because the vertex opens upwards, we are looking for the lowest point which is at (2,-3).

The middle number is 16.95

The collection of numbers is called the number system. These numbers are of different types such as natural numbers, whole numbers, integers, rational numbers and irrational numbers.

Given:

Numbers are 12.7 and 21.2

Difference between number

= 21.2-12.7

=8.5

middle number

= 12.7+ 8.5/2

= 12.7+ 4.25

= 16.95

Hence, the middle number is 16.95.

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Answer:

-3

Step-by-step explanation:

both are negatives, so think of it as addition

at the very end make sure you add the negative symbol :)

-1 1/3 - 1 2/3