Can someone please help, ty!
Will mark brainliest!

Answer:

The diameter decreases at a rate of 0.143cm/min when it is of 10 cm.

Step-by-step explanation:

Surface area of an snowball:

An snowball has spherical format. The surface area of an sphere is given by:

[tex]S = d^2\pi[/tex]

In which d is the diameter of the sphere.

In this question:

We need to differentiate S implicitly in function of time. So

[tex]\frac{dS}{dt} = 2d\pi\frac{dd}{dt}[/tex]

Surface area decreases at a rate of 9 cm2/min

This means that [tex]\frac{dS}{dt} = -9[/tex]

At which the diameter decreases when the diameter is 10 cm?

This is [tex]\frac{dd}{dt}[/tex] when [tex]d = 10[/tex]. So

[tex]\frac{dS}{dt} = 2d\pi\frac{dd}{dt}[/tex]

[tex]-9 = 2(10)\pi\frac{dd}{dt}[/tex]

[tex]\frac{dd}{dt} = -\frac{9}{20\pi}[/tex]

[tex]\frac{dd}{dt} = -0.143[/tex]

Area in cm², so diameter in cm.

The diameter decreases at a rate of 0.143cm/min when it is of 10 cm.

Answer: [tex]x+3, x \neq -6[/tex]

Step-by-step explanation:

The denominator cannot equal 0, so [tex]x \neq -6[/tex].

Simplfying,

[tex]\frac{x^2 +9x+18}{x+6}=\frac{(x+6)(x+3)}{x+6}=x+3[/tex]

Angle B = 90°

Angle C = 67°

Angle A.

[tex]{\boxed{\mathcal{\red{Angle\: A \:=\: 23° \:}}}}[/tex]✅

We know that,

[tex]\sf\pink{Sum\:of\:angles\:of\:a\:triangle\:=\:180°}[/tex]

➪ ∠ A + ∠ B + ∠ C = 180°

➪ ∠ A + 90° + 67° = 180°

➪ ∠ A + 157° = 180°

➪ ∠ A = 180° - 157°

➪ ∠ A = 23°

[tex]\sf\red{Therefore, \:the\: value \:of \:∠\: A\: is \:23°.}[/tex]

∠ A + ∠ B + ∠ C = 180°

✒ 23° + 90° + 67° = 180°

✒ 180° = 180°

✒ L. H. S. = R. H. S.

[tex]\boxed{Hence\:verified.}[/tex]

Note:-

Please refer to the attached file.

[tex]\bold{ \green{ \star{ \orange{Hope\:it\:helps.}}}}⋆[/tex]

Answer: 19

Step-by-step explanation: Since there is no one middle number we have to find the mean of the two middle numbers. Once you find the mean for 24 and 11 you will see that the answer is 19.

Answer:

The median is the middle number in numerical order.

Numerical order - [tex]11,12,14,24,27,72[/tex]

There are 6 numbers.

The median is 19.

Answer:

x=4, -4

Step-by-step explanation:

hope this helps!

Answer:

3/7

Step-by-step explanation:

430 +200 = 630   (630 people in all)

430-160 =270 (270 men  NO WHITE CAR)

        270/630  =    3/7

Answer:

its nothing 0

Step-by-step explanation:

Answer:

Step-by-step explanation:

3/8 or 1/3 if you round it.

Answer:

5,670,279

Step-by-step explanation:

3,840,159 reversed is, 9,510,483 so, 9,510,483 - 3,840,159 = 5,670,279

Answer:

188 sq m

Step-by-step explanation:

for the top square its just 6 x 6 which is 36

then for the bottom you add 6 + 13 for the width (which is 19) and we've already been given 8 for the height so then you multiply 19 x 8 and get 152

you then add 152 and 36 to get 188 (and the unit is sq m or m^2)

Answer:.

Step-by-step explanation:

Answer:

Step-by-step explanation:20/29

Answer:

[tex]7n−13[/tex]

Step-by-step explanation:

[tex]4n+3(n−5)+2[/tex]

[tex]4n+3n+3 \times (−5+2)[/tex]

[tex]4n+3n−15+2[/tex]

[tex]7n−15+27n-15+2[/tex]

[tex]7n−13[/tex]

Answer:

D) 7

Step-by-step explanation:

Five times a number=5x

added to 4= 5x+4

[tex]5x+4=39[/tex]

[tex]5x=35[/tex]

[tex]x=7[/tex]

So, the number is 7.

Answer:

m<B = 107°

Step-by-step explanation:

∆ADC is congruent to ∆ABC by the SSS Congruence Theorem.

<D corresponds to <B, therefore,

m<D = m<B

m<D = 180° - (41° + 32°)

m<D = 180° - 73°

m<D = 107°

m<D = m<B = 107°

m<B = 107°

Answer:

75%

Step-by-step explanation:

24/32 * 100%

75%

Answer:

1st pair of complementary angles: ∠c + ∠d

2nd pair of complementary angles: ∠g + ∠h

Step-by-step explanation:

the two solid lines are perpendicular, creating 4 right angles

1st pair of complementary angles: ∠c + ∠d

2nd pair of complementary angles: ∠g + ∠h

Answer:

H0 : p = 0.028

H1: p > 0.028

We conclude that there is not enough evidence to support the school counselor's claim they the use of electronic cigarettes in high school is higher Than 2.8%

Type 11 error

Step-by-step explanation:

H0 : p = 0.028

H1: p > 0.028

If null should not be rejected then;

We conclude that there is not enough evidence to support the school counselor's claim they the use of electronic cigarettes in high school is higher Than 2.8%

3.)

If the actual proportion is 0.034, which means 3.4%, this means it is actually higher. For failing to reject a false Null, then a type 11 error has been committed

Answer:

A

Step-by-step explanation:

Answer:

904.8cm^3

Step-by-step explanation:

[tex] \frac{4}{3} \pi{(6)}^{3} \\ \frac{4}{3} \pi(216) \\ \frac{864}{3} \pi \\ 288\pi \\ 904.8 {cm}^{3} [/tex]

The volume of the sphere will be 904.32 cubic cm.

Let r be the radius of the sphere. Then the volume of the sphere will be given as,

V = 4/3 πr³ cubic units

The radius of the sphere is 6 cm. Then the volume of the sphere is calculated as,

V = 4/3 x 3.14 x 6³

V = 904.32 cubic cm

The volume of the sphere will be 904.32 cubic cm.

More about the volume of the sphere link is given below.

https://brainly.com/question/9994313

#SPJ7

Answer:

none

Step-by-step explanation:

___________________

Step-by-step explanation:

C.P of the marker= Rs. 40

S.P of the marker= Rs. 50

Profit= S.P- C.P

= 50- 40

= Rs. 10

Profit%= {[tex]\frac{Profit}{C.P}[/tex]×100}%

= {[tex]\frac{10}{40}[/tex]×100}%

= 25%

Answer:

3 beause when you dividend it -5.6+4(3) .

Answer:

360 total numbers of easers

Step-by-step explanation:

You first do

8 x 24

which equals

192

then do

6 x 28

which equals

168

then you take

168 + 192

then that will be

360

you are welcome

Answer:

a = 1000 cm²

Step-by-step explanation:

Center square

20 * 20 = 400cm²

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

Triangle side

a = (1/2)(20)(15)

a = 150

There are 4 sides

a = 4 * 150

a = 600 cm²

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

Total area

a = 400 - 600

a = 1000 cm²

Answer:

Correct answer is "reflection, then rotation".

Step-by-step explanation:

The figure shows the following two operations:

1) Reflection through central horizontal line. ([tex]1 \to 2[/tex])

2) Rotation with center at the upper left corner of the reflected figure. ([tex]2 \to 3[/tex])

Therefore, correct answer is "reflection, then rotation".

Answer:

1/9a2

Step-by-step explanation:

I'm not sure if there's supposed to be a list of answers, but 1/9a2 is one. Hope this helps! Let me know if there was supposed to be a list.

Answer:

removing of bracket

Step-by-step explanation:

(3a)-2

3a×(-2)

-6a

Answer:

648 m.

Step-by-step explanation:

Each walk = 2*81 = 162 m.

So total for 4 walks = 4 * 162

= 648 m.

Answer:

Josh walked 324 meters

Step-by-step explanation:

81×4= 324

Answer:

Step-by-step explanation:

Wat lol

Answer:

B. 55°

Step-by-step explanation:

Recall: relationship between inscribed angle and the measure of the intercepted arc [(inscribed angle = ½(intercepted arc)]

Inscribed angle = m<WZY

Intercepted arc = arc WY = 110°

Therefore:

m<WZY = ½110°)

m<WZY = 55°