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xxTIMURxx [149]
4 years ago
12

A cone has a base that is a shape of a circle. The length across is 16 feet. The height is 8 feet and the slant height is 10 fee

t. What is the lateral area of the cone using 3 for pi
Mathematics
1 answer:
Ira Lisetskai [31]4 years ago
7 0

Answer:

The answer to your question is Surface area = 432  ft²

Step-by-step explanation:

Data

diameter = 16 ft

height = 8 ft

slant height = 10 ft

pi = 3

Process

1.- Write the formula to calculate the surface area

Surface area = pi x radius x slant height + pi x radius²

2.- Substitution

Surface area = (3 x 16/2 x 10) + (3 x (16/2)²)

-Simplification

Surface area = 240 + 192

-Result

Surface area = 432  ft²

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The speed of radio waves can be approximated to be 299,790,000 meters per second. The wavelength of a particular radio station’s
azamat

Answer:

f = \frac{299790000 \frac{m}{s}}{3.03 m}= 9890594.06 Hz

And if we convert to megahertz we got:

9890594.06 Hz *\frac{1MHz}{10^6 Hz}= 98.9 MHz

Step-by-step explanation:

For any mechanical wave we have the following general relationship:

v = \lambda f

where:

v represent the speed of the wave = 299790000 m/s

\lambda = 3.03m represent the wavelength for the radio station

f represent the frequency of interest

If we solve for the frequency we got:

f = \frac{v}{\lambda}

And replacing the values we got:

f = \frac{299790000 \frac{m}{s}}{3.03 m}= 9890594.06 Hz

And if we convert to megahertz we got:

9890594.06 Hz *\frac{1MHz}{10^6 Hz}= 98.9 MHz

6 0
3 years ago
Plaese help! been stuck on apex all day
Kruka [31]
Ok, so it seems
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ok, even and odd
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so then the ends go in different directions
and since leading coefient (5 in the 5x^3) is positive, it goes from bottom left to top right
so

A is false
B is false
C and D are true
answer is C and D
4 0
3 years ago
Read 2 more answers
Can anyone please help me I really need your help.
riadik2000 [5.3K]
Wouldn't it be divided, I'm pretty sure it would be, if not I'm sorry
6 0
3 years ago
What is the equation of log x 729=3?
pishuonlain [190]

Answer:

Step-by-step explanation:

Move 729  to the left side of the equation by subtracting it from both sides.  x  3 − 729  = 0  Factor the left side of the equation.  Rewrite  729  as 9

3

.  x

3

−

9

3

=

0

. Since both terms are perfect cubes, factor using the difference of cubes formula,  a

3

−

b

3

=

(

a

−

b

)

(

a

2+ab+b2). Where a

=x and  b=9. (x−9)(x2+x⋅9+92)=0

. Simplify.  Move 9  to the left of x

.  (x−9)(x2+9x+92)=0.  Raise  9  to the power of 2

.  (x

−9

)(

x

2

+

9

x

+81

)=0

. Set x

−9  equal to  0 and solve for x.  Set the factor equal to  0. x−

9=

0. Add 9  to both sides of the equation.  x=9

. Set x2+

9

x

+

81 equal to  0  and solve for  x

.  Set the factor equal to 0

.  x2+9x+81=0.  Use the quadratic formula to find the solutions.  −b±√b2−4(ac) 2a. Substitute the values  a=1, b=9, and c=81  into the quadratic formula and solve for  x.  −9±√92−4⋅ (1⋅81

) 2⋅

1  Simplify.  Simplify the numerator. Raise 9  to the power of 2. x=−9±√81−4⋅(1⋅81) 2⋅1. Multiply  

81

by  

1

.

x

=

−

9

±

√

81

−

4

⋅

81

2

⋅

1

Multiply  

−

4

by  

81

.

x

=

−

9

±

√

81

−

324

2

⋅

1

Subtract  

324

from  

81

.

x

=

−

9

±

√

−

243

2

⋅

1

Rewrite  

−

243

as  

−

1

(

243

)

.

x

=

−

9

±

√

−

1

⋅

243

2

⋅

1

Rewrite  

√

−

1

(

243

)

as  

√

−

1

⋅

√

243

.

x

=

−

9

±

√

−

1

⋅

√

243

2

⋅

1

Rewrite  

√

−

1

as  

i

.

x

=

−

9

±

i

⋅

√

243

2

⋅

1

Rewrite  

243

as  

9

2

⋅

3

.

Tap for fewer steps...

Factor  

81

out of  

243

.

x

=

−

9

±

i

⋅

√

81

(

3

)

2

⋅

1

Rewrite  

81

as  

9

2

.

x

=

−

9

±

i

⋅

√

9

2

⋅

3

2

⋅

1

Pull terms out from under the radical.

x

=

−

9

±

i

⋅

(

9

√

3

)

2

⋅

1

Move  

9

to the left of  

i

.

x

=

−

9

±

9

i

√

3

2

⋅

1

Multiply  

2

by  

1

.

x

=

−

9

±

9

i

√

3

2

Factor  

−

1

out of  

−

9

±

9

i

√

3

.

x

=

−

1

9

±

9

i

√

3

2

Multiply  

−

1

by  

−

1

.

x

=

1

−

9

±

9

i

√

3

2

Multiply  

−

9

±

9

i

√

3

by  

1

.

x

=

−

9

±

9

i

√

3

2

The final answer is the combination of both solutions.

x

=

−

9

−

9

i

√

3

2

,

−

9

+

9

i

√

3

2

The solution is the result of  

x

−

9

=

0

and  

x

2

+

9

x

+

81

=

0

.

x

=

9

,

−

9

−

9

i

√

3

2

,

−

9

+

i

√

3

2

7 0
4 years ago
In the triangles, Line segment A C is-congruent-to line segment F E and Line segment B C is-congruent-to line segment D E. Trian
choli [55]

Answer:

Line segment A B is longer than Line segment F D. This is the correct statement from the given statements.

Step-by-step explanation:

Given:

In ΔABC and ΔFDE

Segment AC≅Segment FE

Segment BC≅Segment DE

∠BCA = 72° and ∠DEF = 65°

Now by the property of a Triangle we know that

Side opposite to the greater angle is longer than the side opposite to the smaller angle.

So, Side opposite to the greater angle (∠BCA = 72°) is AB and

The side opposite to the smaller angle (∠DEF = 65°) is FD.

Therefore, side AB is Longer than side FD.  

4 0
3 years ago
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