a right cone has a radius 3 and slant height 5. the radius and slant height are both multiplied by 3/2. describe the effect on the surface area

Answers

Answer 1

Answer:

The surface area is multiplied by 4/9.

Step-by-step explanation:

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Answer 2

First lets find the surface area of cone without effect

Given:

Radius of cone = 3 units

Slant height of cone = 5 units

To find:

Surface area of cone

Steps:

Surface area of a cone = πr (r + l)

= π × 3(3 + 5)

= π × 3 (8)

= π × 24

= 24π unit²

Now lets find the surface area of cone with effect

Given:

Radius of cone = 3 × 3/2 = 9/2 = 4.5 units

Slant height of cone = 5 × 3/2 = 15/2 = 7.5 units

To find:

Surface area of cone

Steps:

surface area of cone = πr(r + l)

= π × 4.5( 4.5 + 7.5 )

= π × 4.5( 12 )

= π × 54.0

= 54π

Since we know the surface area of the cones before and after affect now lets find effect

Given:

Surface area of cone before affect = 24π

Surface area of cone after affect = 54π

To find:

Effect on the surface area of cone before and after change

Steps:

By dividing the surface area of cone after and before affect will give us the effect on the cone

54π / 24π

= 54/24              (pi gets canceled out)

= 27/12

= 2.25

Therefore the area of cone is multiplied by 2.25 after effect.

Happy to help :)

If you need any help, please feel free to ask.


Related Questions

The sum of 43 and z is equal to 72.98. Enter the equation that represents the description.

Answers

sum is an answer to an addition problem, so we have to add 43 and z. z+43=72.98

Subtract 43 on both sides.

z=29.98

---

hope it helps

Answer:

43 + z = 72.98

Step-by-step explanation:

Sum meaning add the two (or more numbers together) we get 43+ z = 72.98

If you're trying to find "z" simply subtract 43 from 72.98 to get 29.98 as z

(square root X ) +2=6, solve for x

Answers

Answer:

[tex]\Large\boxed{x=16}[/tex]

Step-by-step explanation:

[tex]\sqrt{x} +2=6[/tex]

Subtract 2 from both sides

[tex]\sqrt{x} =4[/tex]

Square both sides

[tex]x=16[/tex]

What is the solution to the equation y/y-4 -4/y+4=32/y2-16?

Answers

Answer:

No solution

Step-by-step explanation:

For the equation given, we have an alternate form that is

[tex]\dfrac{y^2 + 16}{y^2-16} =\dfrac{32}{y^2-16}[/tex]

It is clear that

[tex]y^2+16 = 32 \implies y=4, y=-4[/tex]

But the denominator goes to zero and it is undefined.

If you take

[tex]$\lim _{y\to 4}\left(\dfrac{y^2+16}{y^2-16}\right)$[/tex]

you'll see that

[tex]$\lim _{y\to 4^-}\left(\dfrac{y^2+16}{y^2-16}\right) = -\infty$[/tex]

[tex]$\lim _{y\to 4^+}\left(\dfrac{y^2+16}{y^2-16}\right) =\infty$[/tex]

It diverges and the limit does not exist.

Si not send links please. Just need the answer. Thank you

Answers

Answer:

the answer is 8

how many rhombuses are in a trapezoid?​

Answers

two pairs of parallel side
1 fits in a trapezoid

100 POINTS PLZ HELPPP Drag each tile to the correct box. Arrange the expressions in increasing order of their estimated values.

Answers

Answer:

[tex]\frac{\sqrt{24}- \sqrt{54} }{\sqrt{6}}[/tex] = -1   [tex]\sqrt{\frac{9}{20}[/tex]*[tex]\frac{10\sqrt{2} }{3\sqrt{5} }[/tex] = 1.4142[tex]\frac{10\pi\sqrt{2}-8\pi\sqrt{2}}{2\sqrt{2}}[/tex]  = π =3.14159[tex]\pi\sqrt{\frac{5}{3}}\cdot\pi\sqrt{\frac{3}{5}}[/tex] = π² = 9.8696

Explanation:

1.) Rewrite √24 = [tex]\sqrt{4*6} = 2\sqrt{6}[/tex]   Rewrite √54 =[tex]\sqrt{9*6}= 3\sqrt{6}[/tex]

Divide both terms by the denominator; √6 cancels. 2-3 = -1

2.) Rewrite as [tex]\frac{3}{2\sqrt{5}}[/tex] ×[tex]\frac{10\sqrt{2}}{3\sqrt{5}}[/tex]  The 3's cancel.  10/2 = 5√2 in the numerator.

√5 × √5 = 5 in the denominator.  The 5's cancel.

That leaves √2 ≈1.4142

3.) Divide the terms in the numerator by the term in the denominator.

√2's cancel.  10π/2 = 5π   8π/2 = 4π  

Subtract and we are left with π = 3.14159

4.) [tex]\pi\sqrt{\frac{5}{3}}\cdot\pi\sqrt{\frac{3}{5}}[/tex]  The square roots are reciprocals. They multiply to 1

We are left with π × π = π² ≈  9.8696

Answer:

It goes...The second one, fourth one, First one, then the third one

Step-by-step explanation:

I took the test a while ago

You are taking a date to dinner and plan to pay for both meals, but you only have $32. If you plan
to leave a 20% tip, how much can you spend on the meals at most?
- need how to solve it
- need the final answer for this question

Answers

Answer:

$23.6

Step-by-step explanation:

This needs to be turned in in 15 minutes help also can u answer both

Answers

Answer:

1.  12    

Step-by-step explanation:

The measures of the angles of a triangle are in the extended ratio of 3:7:10. What is the measure of the LARGEST angle?
pls help me quick

Answers

9514 1404 393

Answer:

  90°

Step-by-step explanation:

The ratio of the largest angle to the total is ...

  10/(3+7+10) = 10/20 = 1/2

The largest angle is half the total of all angles:

  1/2×180° = 90° . . . . measure of the largest angle

A Toblerone candy bar is in the shape of a triangular prism. The area of the base is 3 in 2and the height of the prism is 5 in. What is the volume of the candy bar?

Answers

Answer:

15 in³

Step-by-step explanation:

Volume of the prism:

V = Bh, where B- area of base, h- height

Given:

B = 3 in²h = 5 in

Volume is:

V = 3*5 = 15 in³

Volume

Area of base ×Height3(5)15in³

Name a plane parallel to plane CIJ
A. Plane AFL
B. Plane AFD
C. Plane IJL
D. Plane BCI

Answers

Answer:

i think its c

Step-by-step explanation:

What does 3/5 + 2/5=

Answers

Answer:

1 whole

Step-by-step explanation:

Answer:

5/5 or 1 whole

Step-by-step explanation:

Please answer this correctly without making mistakes I want ace expert and genius people to answer this correctly without making mistakes

Answers

Answer:

[tex]fg^{2} - g =[/tex] -42

Step-by-step explanation:

[tex]fg^{2} - g[/tex]

f = -1

g = 6

substitute the numbers for the letters:

[tex](-1) (6^{2}) - 6[/tex]

[tex](6^{2}) = 36[/tex]

new equation:

-1 x 36 - 6

-36 - 6

= -42

PLS HELP!! :))
How many faces, edges, and vertices does this figure have?

Answers

Answer: 5 faces,8 edges,5 vertices

Step-by-step explanation:5 faces - of which 1 is a square face at the base and 4 isosceles triangle, above.

5 vertices - of which 4 are at the base where 3 edges meet and one above where 4 edges meet.

8 edges - of which 4 are equal in length and at the base and the other 4 are equal in length and above.

2/3 x 6 + 2/3 x 1
2/3 is a fraction

Answers

Answer:

5 and 1/9

Step-by-step explanation:

(2/3 × 6) + (2/3 × 1 and 2/3)

4 + 1 and 1/9 = 5 and 1/9

The images show further explanation:

explain how to solve. g ÷ 4 = 24​

Answers

[tex]Your[/tex] [tex]answer[/tex] [tex]would[/tex] [tex]be.[/tex]

[tex]g/4 = 24 // - 24\\g/4-24 = 0\\1/4*g-24 = 0 // + 24\\1/4*g = 24 // : 1/4\\\g = 24/1/4\\g = 96\\g = 96[/tex]

[tex]- Yaoii[/tex]

Answer:

g = 96

Step-by-step explanation:

Rewrite : g ÷ 4 = 24

Write the division as a fraction : 1/4g = 24

Multiply both sides : 1/4g = 24

Multiply both sides of the eqaution by 4 :

g = 96

Final answer g = 96

Using traditional methods, it takes 95 hours to receive a basic flying license. A new license training method using Computer Aided Instruction (CAI) has been proposed. A researcher used the technique with 260 students and observed that they had a mean of 94 hours. Assume the standard deviation is known to be 6. A level of significance of 0.01 will be used to determine if the technique performs differently than the traditional method. Is there sufficient evidence to support the claim that the technique performs differently than the traditional method

Answers

Answer:

There is not sufficient evidence to support the claim that the technique performs differently than the traditional method.

Step-by-step explanation:

The null hypothesis is:

[tex]H_{0} = 95[/tex]

The alternate hypotesis is:

[tex]H_{1} \neq 95[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

A researcher used the technique with 260 students and observed that they had a mean of 94 hours. Assume the standard deviation is known to be 6.

This means, respectively, that [tex]n = 260, X = 94, \sigma = 6[/tex]

The test-statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{94 - 95}{\frac{6}{\sqrt{260}}}[/tex]

[tex]z = -2.69[/tex]

The pvalue is:

2(P(Z < -2.69))

P(Z < -2.69) is the pvalue of Z when X = -2.69, which looking at the z-table, is 0.0036

2*(0.0036) = 0.0072

0.0072 < 0.01, which means that the null hypothesis is accepted, that is, there is not sufficient evidence to support the claim that the technique performs differently than the traditional method.

helllpplll pleaseeeeee ​

Answers

Answer:

Step-by-step explanation:

area of bottom of round pan = πr² = 9π in² ≅ 28.27 in²

area of bottom of rectangular pan = 10×2 = 20 in²

area of bottom of round pan is greater than area of bottom of rectangular pan by about 8.27 in²

What is the greatest common factor of 22 and 2?

Answers

it would be 2. have a great day
The gcf for the factors of 22 and 2 is 2

Elena has more roses than Lin. Lin has 8 roses and Elena has x roses. Which expression represents the number of roses Elena has?

Answers

excess greater than or equal to eight

..............................................help

Answers

Answer:

Its C

Step-by-step explanation:

Pretty ez since 8 divided by 12 is 2/3 or you just simply simplify it.

Answer:

C. 2/3

I promise this is right.

What is the value of 4)1/8 divided by 5)1/2

Answers

Answer:

I'm assuming that you meant to type: The question is x/5=1/2+1/8 ; X= ?

If so, we're solving for x.

x/5 = 1/2 + 1/8

2 is a factor of 8, so let's start with common denominators.

x/5 = 1/2 *(4/4) + 1/8

x/5 = 4/8 + 1/8

x/5 = 5/8 As long as we just need to know the value of x, let's use inverse operations.

x/5 *5 = 5/8 *5

x = 25/8 or 3.125

Angle a =
126
What is the measure of angle b? Explain how you calculated your answer.
Angle a=
126° Write an equation(s) in terms of b to find the measure of angle h.
Calculate the measure of angle h, using the equation(s) you wrote for Part B.
How would knowing the measure of angle y change the equation(s) you wrote in Part B to find the measure of angle h?
B I VIX
©2021 Illuminate Education, Inc.

Answers

Answer:

L 2r. x. em -ca tpd apt answer

What is the volume of the cone?

Answers

Answer:

Your answer is A. 525 x cm

Step-by-step explanation:

3. What are the domain and range of (x) = 4* ?
Domain:

Range:

Answers

I think you can do that on photo math

solve the equation a/a^2-9 +3/a-3=1/a+3

Answers

Answer is: a= -4
STEP
1
:

1
Simplify —————
a + 3
Equation at the end of step
1
:

a 3 1
(————————+—————)-——— = 0
((a2)-9) (a-3) a+3
STEP
2
:

3
Simplify —————
a - 3
Equation at the end of step
2
:

a 3 1
(————————+———)-——— = 0
((a2)-9) a-3 a+3
STEP
3
:

a
Simplify ——————
a2 - 9
Equation at the end of step
3
:

a 3 1
(————————————————— + —————) - ————— = 0
(a + 3) • (a - 3) a - 3 a + 3

Equation at the end of step
4
:

(4a + 9) 1
————————————————— - ————— = 0
(a + 3) • (a - 3) a + 3
Pull out like factors :

3a + 12 = 3 • (a + 4)

Equation at the end of step
6
:

3 • (a + 4)
————————————————— = 0
(a + 3) • (a - 3)

3•(a+4)
——————————— • (a+3)•(a-3) = 0 • (a+3)•(a-3)
(a+3)•(a-3)

a+4 = 0

Subtract 4 from both sides of the equation :
a = -4

in the diagram, which pair of angles are corresponding angles?

A. 1 and 8

b. 4 and 6

c. 3 and 7

d. 2 and 4

Answers

C. 3 and 7 because corresponding angles are congruent when an transversal intersects the line

Estimate:
20 is 22% of what number?

Answers

Answer:

90.9091 yeah I'm pretty sure

The number 20 is 22% of 90.91.

Percentage is a way of expressing a portion or fraction of a whole as a proportion of 100. It is denoted by the symbol "%". Percentages are commonly used to compare relative values, express ratios, or represent portions of a whole.

To estimate the number that 20 is approximately 22% of, we can set up the equation:

0.22 x = 20

Here, x represents the unknown number we are trying to estimate.

To estimate x, we can divide 20 by 0.22:

x ≈ 20 / 0.22

x ≈ 90.91

Therefore, 20 is 22% of 90.91.

Learn more about Percentage here:

https://brainly.com/question/26535441

#SPJ6

Which property of equality would you use to solve the following equation? W/5=10

Answers

Answer:

Multiplication property of equality because we need to multiply both sides by 5 to get rid of the denominator, so we get w = 50.

Hope this helps and brainliest please

Answer:

You would use the multiplication property of equality and by using that you get W=50.

What is the discriminant of -x^2+2x+12=0

Answers

Answer: The solutions of the equation is [2+2⋅13−−√2;2−2⋅13−−√2]

Step-by-step explanation:

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