Two figures are arranged as shown. Which of the following can be used to the area of the figure
shaded light gray?
9
9​

Answer:

Rectangular prism          

Step-by-step explanation:

Answer:

a = ln (2b)

Step-by-step explanation:

2e^a =4b

Divide each side by 2

2/2 e^a =4/2b

e^a = 2b

Take the natural log of each side

ln(e^a) = ln(2b)

a = ln (2b)

Answer:

  102,232​ = 2·2·2·13·983

Step-by-step explanation:

  102,232​ ends in 32, so is divisible by 4

  102,232/4 = 25558 ends in 2, so is divisible by 2

  25558/2 = 12779

     is not even, so is not divisible by 2

     has a sum of digits mod 9 of 8, so is not divisible by 3 or 9

     does not end in 0 or 5, so is not divisible by 5

     gives the result 1277-2·9 = 1259; 125-2·9 = 107; 10-2·7 = -4, which is not zero, so 12779 is not divisible by 7

     gives the result (1+7+9)-(2+7) = 8, which is not divisible by 11, so 12779 is not divisible by 11

     gives the result 1277 +4·9 = 1313, which is divisible by 13, so 12779 is divisible by 13

  12779/13 = 983 needs to be tested for divisibility by primes between 17 and 31, namely 17, 19, 23, 29, 31. It is not divisible by any of these, so this is the last prime factor of 102,232:

  102,323 = 2·2·2·13·983

_____

Divisibility rules:

Note that for any transformation rule, the rule can be repeated on the reduced result. The digits of a sum of digits can be summed, for example.

  2: ends in even digit

  3: sum of digits is divisible by 3

  5: ends in 0 or 5

  7: subtracting 2 times the last digit from the rest is divisible by 7

  11: difference of sums of alternate digits is divisible by 11

  13: there are several rules. A couple of useful ones are

  17: subtracting 5 times the last digit from the rest is divisible by 17

  19: the sum of 4 times the last 2 digits and the remaining number will be divisible by 19

  23: the sum of 3 times the last 2 digits and the remaining number will be divisible by 23

  29: the sum of 9 times the last 2 digits and the remaining number will be divisible by 29

  31: subtracting 3 times the last digit from the rest is divisible by 31

Answer:A

Step-by-step explanation:

h=85 f=36

Since it is a right angled triangle we can apply Pythagoras principle to get g

g=√(h^2 - f^2)

g=√(85^2 - 36^2)

g=√(85x85 - 36x36)

g=√(7225 - 1296)

g=√(5929)

g=77

Answer:

a) 4 hours

b) 11 am

Step-by-step explanation:

So say the number of hours is x

a) 72 + 6x = 96

6x = 24

x = 4

b) 7am + 4 hours = 11am

Answer:

255.50

Step-by-step explanation:

If each day the number is doubled, then all you must do is keep on doubling to the ninth day and then add it all together

Answer:113 cubic meter

Step-by-step explanation:

Diameter=6

Radius=r=6/2

Radius=r=3

π=3.14

Volume of sphere=4/3 x π x r x r x r

Volume of sphere=4/3 x 3.14 x 3 x 3 x 3

Volume of sphere=(4x3.14x3x3x3) ➗ 3

Volume of sphere=339.12 ➗ 3

Volume of sphere=113.04

Volume of sphere =113 cubic meter

Answer:

D.200.96 cm

Step-by-step explanation:

Given radius (R) = 8

Diameter = 2R = 16

Circumference = 2πR

= 16π

= 50.265482457437

Area = πR2

= 64π

= 201.06192982975

Answer:

  1024 pi

Step-by-step explanation:

The area formula is ...

  A = πr^2

So, the radius is ...

  r = √(A/π)

For the given area, the radius of the cylinder is ...

  r = √(64π/π) = 8 . . . . cm

The height is said to be twice this value, so is 16 cm.

__

The volume of the cylinder is found from ...

  V = Bh

where B is the base area and h is the height. Our cylinder has a volume of ...

  V = (64π cm^2)(16 cm) = 1024π cm^3

Answer:

(6,4)

Step-by-step explanation:

I just did quick math in my head.

Answer: 2r(0)/3.

Step-by-step explanation:

So, we are given one Important data or o or parameter in the question above and that is the function of the form which is given below(that is);

S(r) = (r0 - r) ar^2 -----------------------------(1).

We will now have to differentiate S(r) with respect to r, so, check below for the differentiation:

dS/dr = 2ar (r0 - r ) + ar^2 (-1 ) ---------;(2).

dS/dr = 2ar(r0) - 2ar^2 - ar^2.

dS/dr = - 3ar^2 + 2ar(r0) ------------------(3).

Note that dS/dr = 0.

Hence, - 3ar^2 + 2ar(r0) = 0.

Making ra the subject of the formula we have;

ra[ - 3r + 2r(0) ] = 0. -------------------------(4).

Hence, r = 0 and r = 2r(0) / 3.

If we take the second derivative of S(r) too, we will have;

d^2S/dr = -6ar + 2ar(0). -------------------(5).

+ 2ar(0) > 0 for r = 0; and r = 2r(0)/3 which is the greatest.

Answer:

[tex]r =\frac{2r_{0}}{3}[/tex]

Step-by-step explanation:

We need to take the derivative of S(r) and equal to zero to maximize the function. In this conditions we will find the radius r for which the speed of the air is greatest.

Let's take the derivative:

[tex]\frac{dS}{dr}=a(2r(r_{0}-r)+r^{2}(-1))[/tex]

[tex]\frac{dS}{dr}=a(2r*r_{0}-2r^{2}-r^{2})[/tex]

[tex]\frac{dS}{dr}=a(2r*r_{0}-3r^{2})[/tex]

[tex]\frac{dS}{dr}=ar(2r_{0}-3r)[/tex]

Let's equal it to zero, to maximize S.

[tex]0=ar(2r_{0}-3r)[/tex]

We will have two solutions:

[tex]r = 0[/tex]

[tex]r =\frac{2r_{0}}{3}[/tex]

Therefore the value of r for which the speed of the air is greatest is [tex]r =\frac{2r_{0}}{3}[/tex].

I hope it helps you!

Answer:

r = 5.97 cm

Step-by-step explanation:

The area of the sector is given by the following equation:

[tex]A = r*S = 2\pi*r^{2}*\frac{58}{360}[/tex]

Where:

r: is the radius

A: is the area

The radius is:

[tex]r = \sqrt{\frac{A}{2*\pi*58/360}} = \sqrt{\frac{36.07 cm^{2}}{2*\pi*58/360}} = 5.97 cm[/tex]

Therefore, the radius of Circle M is 5.97 cm.

I hope it helps you!

Answer:

English Plz

Step-by-step explanation:

Answer:

y=a

Step-by-step explanation:

Answer:

(z-6)(z+3)

Step-by-step explanation:

Answer:

Step-by-step explanation:

z^2-6z + 3z -18

z(z-6)+3(z-6)

(z+3)(z-6)

Answer:

  Zoe is not correct because equilateral triangles are acute triangles with three sides of equal length. Acute triangles can sometimes be equilateral triangles.

Step-by-step explanation:

Logically, it makes no sense for Zoe to say, in effect, ...

  "All E are A, but A are never E."

That is incorrect on its face. At least, it means that "sometimes A are E."

__

The appropriate choice is the first one:

Zoe is not correct because equilateral triangles are acute triangles with three sides of equal length. Acute triangles can sometimes be equilateral triangles.

Answer:

the answer is d

Step-by-step explanation:

Answer:

The answer is D

Step-by-step explanation:

Answer:

Option B

Step-by-step explanation:

The figures are made out of squares.

[tex]\text {Formula for area of a square: } A =s^2\\s-\text {Length of side.}[/tex]

Square 1 (the gray square):

The side measure is 4 cm.

[tex]A = 4^2 = 16cm^2[/tex]

Square 2 (white square):

The side measure is 2 cm.

[tex]A=2^2=4cm^2[/tex]

Subtract the area of the white square from the gray square to get the area of the shaded region:

[tex]16 - 4 =12[/tex]

The shaded region is [tex]12cm^2[/tex].

Option B should be the correct answer.

Brainilest Appreciated!

Answer:

1310720

Step-by-step explanation:

Find out the frist part "4 to the square root of 81"  262144

then times it by 5

to get 1310720

Answer:

The volume of the tank is [tex]452\ \text{feet}^3[/tex].

Step-by-step explanation:

We have,

Diameter of a cylindrical water tank is 8 ft

Height of the water tank is 9 ft.

It is required to find the volume of the tank. The volume of a cylindrical shaped object is given by :

[tex]V=\pi r^2h[/tex]

r is radius of cylindrical tank, r = 4 ft

Plugging all the values in above formula,

[tex]V=3.14\times (4)^2\times 9\\\\V=452.16\ \text{feet}^3[/tex]

or

[tex]V=452\ \text{feet}^3[/tex]

So, the volume of the tank is [tex]452\ \text{feet}^3[/tex].

Answer:

c

Step-by-step explanation:

Answer:

it's D

Step-by-step explanation:

The number never goes over 0 so there is no need to put anything above 0

Answer:

<

Step-by-step explanation:

22/20=1.1

38/30=1.27

Answer:

<

Step-by-step explanation:

Answer:

ellipse ; 4 degrees

Step-by-step explanation:

edge’s possible answer 2020

Answer:

0.28

Step-by-step explanation:

The sum of the geometric value progression is S = 0.28

A geometric progression is a sequence in which each term is derived by multiplying or dividing the preceding term by a fixed number called the common ratio.

The nth term of a GP is aₙ = arⁿ⁻¹

The general form of a GP is a, ar, ar2, ar3 and so on

Sum of first n terms of a GP is Sₙ = a(rⁿ-1) / ( r - 1 )

Given data ,

Let the sequence be A = { 1 - 0.99 + 0.99² - 0.99³... - 0.99⁷⁹ }

So , A = 1 - { 0.99 - 0.99² + 0.99³... + 0.99⁷⁹ }

Let the first term of the GP be a₁ = 0.99

Now , the common ratio of GP , r = 0.99

And , the number of terms in GP = 80

And , Sum of first n terms of a GP is Sₙ = a(rⁿ-1) / ( r - 1 )

On simplifying , we get

S₈₀ = 0.99 ( 1 - 0.99⁸⁰ ) ( 1 - 0.99 )

On further simplification , we get

S₈₀ = 0.7224

So , the sum of the GP is S = 1 - S₈₀ = 0.28

Hence , the sum of GP is 0.28

To learn more about geometric progression click :

https://brainly.com/question/1522572

#SPJ3

Answer:

Step-by-step explanation:

In mathematics, the domain or set of departure of a function is the set into which all of the input of the function is constrained to fall. It is the set X in the notation f: X → Y. Since a function is defined on its entire domain, its domain coincides with its domain of definition, the subset of the domain for which the function associates an image. However this coincidence is no longer true for a partial function since the domain of definition of a partial function can be a proper subset of the domain.

Answer:9%

U already provided the answer. Anyways have a good day!!

The probability of choosing a captain that is a girl two days in a row is 9%

The given parameters are:

Boys = 21

Girls = 9

The total number of students is

Total = 21 + 9

Total = 30

This means that the probability of selecting a girl is:

P(Girl) = 9/30

For two days, the required probability is

P = 9/30 * 9/30

Evaluate

P = 9%

Hence, the probability of choosing a captain that is a girl two days in a row is 9%

Read more about probability at:

https://brainly.com/question/251701

#SPJ2

Answer:3hk - 12.4h

Step-by-step explanation:

h(3k-12.4)

h x 3k - h x 12.4

3hk - 12.4h

Answer: x= 5

Step-by-step explanation: Lets solve by completing the square.

You first need to get -15 by itself.

x^2-8x=15   Now you need to complete the square my finding a perfect constant that will go with x^2-8x, then add it to the other side containing -15 to balance the equation out.

-8x/2= -4^2=16 This will be the perfect square.

x^2-8x+16 = -15 + 16

(x-4)^2 = 1 factor into a binomial, then use the square root on both sides.

√ x-4 ^ 2 = √ 1

x-4 = 1

x=5