A circular sinkhole has a circumference of 75.36 meters. A week later, it has a circumference of 150.42 meters.
a. Estimate the diameter of the sinkhole each week.

At first, the sinkhole has an approximate diameter of
meters. A week later, the diameter is about ____
meters.



b. How many times greater is the diameter of the sinkhole a week later?

The diameter of the sinkhole now is about ___
times greater compared to a week later.

Answer:1. The measure of ∠WOV is 60°. You would use complementary angles that are adjacent (∠WOV, and ∠XOW)

2. The measure of ∠YOZ is 60°. You would use the vertical angles that are non-adjacent (∠WOV, and ∠YOZ). These two angles are congruent so they would have the same measure. These angles combined also create supplementary angles

3. Another way to find the measure of ∠YOZ would be to make/write an equation and solve for x. For example, (3x+30)°=60°. x would equal 10 because 10x3=30+30=60°

Step-by-step explanation:

1. Since a complementary angle would equal 90°, simply subtract 30° from 90° resulting in 60°.

2. Because vertical angles are congruent and (∠WOV, and ∠YOZ) are a pair of them, they equal the same as each other so they're both 60°.

3. You can make any equation with x included as long as it equals 60° mine was just an example you can make your own like 10x+10=60 or 4x+20=60. Also to create your equation you also need to use the angle fact of the vertical angles

Answer: 10 is the greatest and -8 is the least

Step-by-step explanation:

10 is the biggest number and even though -8 is a big number when you have it in the "-" the bigger the number is the less they are

Answer:

-3(x + 4)

Step-by-step explanation:

1. First, combine the like terms:

-8(x + 4) + 5(x + 4)

-3(x + 4)

2. Next, distribute:

-3(x + 4)

-3x + 12

3. Finally, use the common factor:

-3x + 12

-3(x + 4)

Answer: -3(x + 4)

Step-by-step explanation:

Answer:

48 = {1,2,3,6,8,48.}

Step-by-step explanation:

These are the factors if 48. if it's correct please let me know.

B is correct. B is rights because at the end of the equation you need to divide by 1 so it all equals out.

Answer:

Choose Choice B

Step-by-step explanation:

45-19 is 26.

All of the other equations don't make sense except B

Answer: hope this helps ♡

1.) x = -21

2.) x = 18

3.) x = 3

Step-by-step explanation:

(minus&minus = plus)       (minus&plus = minus)        (plus&minus = minus)

1.) 25 - 3x = 88

25 - 25 - 3x = 88 - 25

-3x = 63

-3x ÷ 3 = 63 ÷ 3

-x = 21 → x = -21

2.) -11 = 7 - x

-11 - 7 = 7 -7 -x

-18 = -x

18 = x → x = 18

3.) 95 = -4 + 33x​

95 + 4 = -4 + 4 + 33x

99 = 33x

99 ÷ 33 = 33x ÷ 33

3 = x → x = 3

[tex] \text{1 ] 25 - 3x = 88 }[/tex]

[tex] \rm{↣25 - 3x = 88} \\ \rm↣- 3x= 88 - 25 \\ \rm↣- 3x = 63 \\ \rm↣x = \cancel \frac{63}{ - 3} \\ \underline{ \underline{\rm ↣\purple{ \: x = -21 \: }}}[/tex]

[tex] \: [/tex]

_________

[tex] \text{2 ] -11 = 7 - x }[/tex]

[tex] \rm \: ↣-11 = 7 - x \\ \rm↣ -11 - 7 = -x \\ \rm↣ \cancel- 18 = \cancel -x\\\underline{ \underline{ \rm↣ \pink{x = 18}}}[/tex]

[tex] \: [/tex]

_________

[tex] \text { 3 ] 95 = -4 + 33x }[/tex]

[tex] \rm \: ↣ 95 = -4 + 33x \\ \rm↣ 95 + 4 = 33x \\ \rm↣ 99 = 33x \\ \rm ↣ \cancel \frac{99}{33} = x \\ \rm ↣3 = x \\ \underline{ \underline{\rm \color{hotpink}↣x = 3}}[/tex]

[tex] \: [/tex]

━━━━━━━━━━━━━━━━━━━━━━━

hope it helps:)

Answer:this question does not make sense to fix it and ask again

Step-by-step explanation:

Answer:

3 times more

Step-by-step explanation:

mangos: m = 108

portugals:  p

oranges:     o = 3p

108 + p + 3p = 540

108 + 4p = 540

4p = 540-108 = 432

p = 432/4 = 108

o = 3p = 3(108) = 324

324/108 = 3  there are 3 times more oranges than portugals

Answer:

1620

Step-by-step explanation:

540 X 3 = 1620

Answer: 2439

I think what you want is, all the four digits numbers which can be formed with the help of the ten digits i.e. {0, 1, 2, 3, ……. … … , 9} which contains 0 at least once in it. Taking this way, to find all the required numbers, we may proceed as follows;

To form four digits numbers means to fill up four vacant places say X, X, X, X with the help of these ten digits. Since nothing has been said about repetition or non-repetition of the digits, so I take it that repetitions of digits are allowed so that all possible numbers come into consideration. Now;

1st vacant place can be filled up by 9 ways (as 0 can not come to this place otherwise number formed will be of three digits). Further,

2nd, 3rd and 4th vacant place each can be filled up by 10 ways (each)(as 0 may also come to these places).

Hence, total no. of numbers of four digits = 9 .10.10.10 = 9000.

Next the total no. of numbers of four digits without zero at any place = 9. 9. 9. 9 = 6561.

Therefore, required no. Of numbers of four digits having at least one zero = 9000 - 6561 = 2439.

Step-by-step explanation:

Hope this helped you. Please brainliest if possible. And tell me if I am wrong. I would really appreciate if I can have some thanks or rating too! :D

Answer: Volume ≈ 56.55

Step-by-step explanation:

56.54867 is the answer, but I rounded it. I hope this helped! :)

Answer:

18π cubic inches

Step-by-step explanation:

First, we need to find the radius of the cone, which is half of the diameter.

radius = diameter/2 = 6/2 = 3 inches

The formula for the volume of a cone is:

V = 1/3 × π × r^2 × h

where r is the radius of the base of the cone, and h is the height of the cone.

Substituting the values we get:

V = 1/3 × π × 3^2 × 6

V = 1/3 × π × 9 × 6

V = π × 18

Answer:

-6 ; 3

Step-by-step explanation:

Answer:

least value=-8, Q1=-0.5, median=3, Q3=5, greatest value=10

Step-by-step explanation:

To find the least and greatest values, we simply look at the numbers in the data set and see that the least is -8 and the greatest is 10.

To find the first quartile, median, and third quartile, we need to put the data in order from least to greatest:

-8, -5, -1, 0, 0, 1, 2, 4, 4, 5, 5, 7, 9, 10

There are 14 numbers in the data set, so the median is the average of the 7th and 8th numbers, which is:

(median) = (2+4)/2 = 3

To find the first quartile, we need to find the median of the lower half of the data set. The lower half includes the first 7 numbers:

-8, -5, -1, 0, 0, 1, 2

The median of this lower half is the average of the 3rd and 4th numbers:

(first quartile) = (-1+0)/2 = -0.5

To find the third quartile, we need to find the median of the upper half of the data set. The upper half includes the last 7 numbers:

2, 4, 4, 5, 5, 7, 9, 10

The median of this upper half is the average of the 4th and 5th numbers:

(third quartile) = (5+5)/2 = 5

So the least value is -8, the first quartile is -0.5, the median is 3, the third quartile is 5, and the greatest value is 10.

Answer:

[tex]\boxed{\mathtt{Volume=33.55m^{3}}}[/tex]

Step-by-step explanation:

[tex]\textsf{For this problem, we are asked to find the Volume of a Triangular Prism.}[/tex]

[tex]\large\underline{\textsf{What is Volume?}}[/tex]

[tex]\textsf{Volume is the amount of space a figure occupies. Volume is measured in Cubic units.}[/tex]

[tex]\large\underline{\textsf{We are Given;}}[/tex]

[tex]\textsf{The Height is 6.1m. Keep in mind that the Height is the Perpendicular Distance}[/tex]

[tex]\textsf{between 2 bases.}[/tex]

[tex]\textsf{The base is; (4.4 x 2.5).}[/tex]

[tex]\textsf{The Height of the Triangle is 2.5m.}[/tex]

[tex]\large\underline{\textsf{Necessary Formulas;}}[/tex]

[tex]\mathtt{Volume=(Base) \times Height}[/tex]

[tex]\mathtt{Area = \frac{1}{2} (Base \times Height)}[/tex]

[tex]\large\underline{\textsf{For this Problem;}}[/tex]

[tex]\mathtt{Volume=(Triangles' \ Area) \times Height}[/tex]

[tex]\large\underline{\textsf{The area of a Triangle is;}}[/tex]

[tex]\mathtt{Area = \frac{1}{2} (Base \times Height)}[/tex]

[tex]\textsf{Find the area of the base first.}[/tex]

[tex]\large\underline{\textsf{Substitute;}}[/tex]

[tex]\mathtt{Area = \frac{1}{2} (4.4 \times 2.5)}[/tex]

[tex]\boxed{\mathtt{Area = 5.5m^{2}.}}[/tex]

[tex]\textsf{We know the Base, now let's find the volume of the figure.}[/tex]

[tex]\large\underline{\textsf{Substitute;}}[/tex]

[tex]\mathtt{Volume=5.5 \times 6.1}[/tex]

[tex]\boxed{\mathtt{Volume=33.55m^{3}}}[/tex]

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\textsf{Find the \boxed{\bf volume} of a triangular prism is:}[/tex]

[tex]\mathsf{\dfrac{1}{2}(\boxed{\bf b}ase\times\boxed{\bf h}eight\times\boxed{\bf l}ength) = \boxed{\bf v}olume}[/tex]

[tex]\huge\textsf{Your \boxed{\bf equation} should look like:}[/tex]

[tex]\mathsf{volume = \dfrac{1}{2}(4.4\ m \times 2.5\ m\times 6.1\ m)}[/tex]

[tex]\huge\textsf{\boxed{\bf Step-by-step} explanation can be:}[/tex]

[tex]\mathsf{volume = \dfrac{1}{2}(4.4\ m \times 2.5\ m\times 6.1\ m)}[/tex]

[tex]\mathsf{volume = \dfrac{1}{2}\times 4.4\ m \times 2.5\ m\times 6.1\ m}[/tex]

[tex]\mathsf{volume = 0.5\times 4.4\ m \times 2.5\ m\times 6.1\ m}[/tex]

[tex]\mathsf{volume = 2.2\ m\times 15.25\ m}[/tex]

[tex]\mathsf{volume = 33.55}[/tex]

[tex]\huge\textsf{Therefore your \boxed{\bf answer} should be:}[/tex]

[tex]\huge\boxed{\mathsf{volume = 33.55m^2}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

Answer:

SEE BELOW.

Step-by-step explanation:

1) 5/40

gcf = 5

5 ÷ 5 /    40  ÷ 5

= 1/8

2) 2/12

1/6

3) 3/9

= 1/3

4) 4/36

1/9

5) 6/40

3/20

6) 7/49

1/7

7) 6/50

3/25

8) 8/12

4/6

2/3

9) 9/90

1/10

10) 14/32

7/16

11) 25/65

5/13

12) 18/64

9/32

13) 24/54

4/9

14) 8/60

4/30

2/15

15) 22/34

11/17

16) 35/84

5/12

17) 48/104

6/13

18) 16/128

1/8

19)36/108

= 1/3

20) 38/152

1/4

Answer:47

Step-by-step explanation:

x=180-(102+31)

X=47

Step-by-step explanation:

A triangle has its interior angle sum as 180°

[tex]{ \tt{ \angle R + \angle S + \angle T = 180 \degree}}[/tex]

[tex]{ \colorbox{silver}{input \: angles}} \\ \\ { \tt{31 \degree + (x + 4) \degree + (3x + 9) \degree = 180 \degree}} \\ \\ { \tt{44 + 4x = 180 \degree}} \\ \\ { \tt{4x = 136}} \\ \\ { \tt{x = 34}} \\ \\ { \colorbox{silver}{for \:R }} \\ \\ { \tt{ m\angle S =x + 4 = 34 + 4}} \\ \\ { \boxed{ \tt{m \angle S = 38 \degree}}} \\ \\ { \colorbox{silver}{for \:T }} \\ \\ { \tt{m \angle T = 3x + 9 = (3 \times 34) + 9}} \\ \\ { \tt{m \angle T = 111 \degree}}[/tex]

Answer:

I think D? sry if its wrong tho :/

Step-by-step explanation:

Answer: D

Step-by-step explanation:

Answer:

48

Step-by-step explanation: Area=L*W*H

L=2

W=3

H=8

2*3*8=48

Hope this help!!! Mark me brainliest!!. Have a great spring break!

Answer:

636.4 cm³

Step-by-step explanation:

start by adding the all the similar number with teh exponents but do the negatives last then you need to combine like terms and yu should get 56 as your asnwer

Answer: 188,736

Step-by-step explanation:

The original amount is 192,000. Every year, the population decreases by 1.7%, which means that the population is 98.3% of last year's.

0.983 * 192,000 = 188,736

We have divided the figure into 3 parts i.e. ; 2 rectangles and 1 triangle...

[tex] \boxed{ \red { \mathfrak{Area\: of\: figure =l \times b + l \times b + \frac{1}{2} \times b \times h}}}[/tex]

We have the dimensions:

[tex] \blue{ \sf{Area\: of\: figure = 8 \times 7 + 6 \times 2 + \frac{1}{2} \times 2 \times 1 }}[/tex]

[tex] \blue{ \sf{Area\: of\: figure =56 + 12 + \frac{1}{ \cancel2} \times \cancel 2 }}[/tex]

[tex] \blue{ \sf{Area\: of\: figure =56 + 12 + 1}}[/tex]

[tex] \blue{ \sf{Area\: of\: figure =69 \: {ft}^{2} }}[/tex]

Hence, Option B is correct!!

think of cordinate planes if that helps

Answer: 9.9 yards

Step-by-step explanation: Since we know that the legs of the right triangle both measure 7 yards, we can use the Pythagorean theorem to find the length of the hypotenuse, which is the longest side of the right triangle.

According to the Pythagorean theorem, the square of the hypotenuse equals the sum of the squares of the legs. In this case, we have:

c^2 = 7^2 + 7^2 c^2 = 49 + 49 c^2 = 98

To find the length of the hypotenuse, we need to take the square root of both sides of the equation:

c = √98

Using a calculator, we can find that √98 is approximately 9.9. Therefore, the length of the hypotenuse is approximately 9.9 yards.

The answer is C. 9.9 yards.