In the past 100 years, scientists measured the movement of the continents to be 190.5 centimeters. If the continents moved the same amount each year, how much did the continents move in one year?

Answer:

1/2( 110+42)

Step-by-step explanation:

Angle Formed by Two Chords= 1/2(sum of Intercepted Arcs)

<<XYZ = 1/2( 42+110)

Answer:

the volume of the solid is 1024/3 cubic unit

Step-by-step explanation:

Given the data in the question,

radius of the circular disk = 4

Now if the center is at ( 0,0 ), the equation of the circle will be;

x² + y² = 4²

x² + y² = 16

we solve for y

y² = 16 - x²

y = ±√( 16 - x² )

{ positive is for the top while the negative is for the bottom position }

A = b²

b = 2√( 16 - x² )           { parallel cross section }

A = [2√( 16 - x² )]²

A = 4( 16 - x² )

Now,

VOLUME = [tex]\int\limits^r -rA dx[/tex]

= [tex]\int\limits^4_4 {-4(16-x^2)} \, dx[/tex]

= 4[ 16x - (x³)/3 ]           { from -4 to 4 }

= 4[ ( 64 - 64/3 ) - (-64 = 64/3 0 ]

= 4[ 64 - 64/3 + 64 - 64/3 ]

= 4[ (192 - 64 + 192 - 64 ) / 3 ]

= 4[ 256 / 3 ]

= 1024/3 cubic unit

Therefore,  the volume of the solid is 1024/3 cubic unit

Answer:

F

E or C (depending on the actual angles - see below in the details)

Step-by-step explanation:

two triangles are congruent, when after some rotation or mirroring they can cover each other exactly.

that means they must both have the same angles and side lengths.

these are the possible conditions to determine that 2 triangles are congruent (without knowing ALL of the sides and angles) :

SSS (Side-Side-Side) - all 3 sides of triangle 1 are exactly of the same length as the 3 sides of triangle 2.

SAS (Side-Angle-Side) - 2 sides and one angle are the same

ASA (Angle-Side-Angle) - 2 angles and the side between these 2 angles are the same

AAS (Angle-Angle-Side) - 2 angles and any not-included side are the same

RHS (Right angle-Hypotenuse-Side) - both triangles are right-angled (one angle is 90 degrees), and the Hypotenuse (the side opposite to the 90 degree angle) and another side are the same.

so, now look at a).

we only know the angles. but we could use a zoom lens of a camera and make them bigger and smaller, while their angles remain actually the same.

therefore, we cannot say, if they are actually congruent (only if their side lengths are the same too).

but we can say that they could be congruent.

and therefore also none of the congruent conditions apply, because for all of them we always need at least one side length. and we don't have that.

now looking at b)

I am not sure I can read one of the given angles correctly.

case one: I read the angles in triangle 2 as 66 and 58 degrees. that would make the third angle

180 - 66 - 58 = 56

but triangle 1 has the angles of 68, 54 and

180 - 68 - 54 = 58

=> the three angles are not the same, so the triangles are definitely not congruent

case two: I could read the angles in triangle 2 also as 68 and 58. that would make the third angle

180 - 68 - 58 = 54

and the side connecting the 68 and 58 angles has the same length, so the ASA criteria are fulfilled, and the triangles are congruent. C

Answer:

I think it might be SAS. (side angle side)

A. (0.6, -2.8)

Hope this helps! :)

Answer:

Step-by-step explanation:

[tex]\longrightarrow{\blue{B.\:94\:cm²}}[/tex] 

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

[tex]2 \: (3 \: cm \times 4 \: cm) + 2 \: (3 \: cm \times 5 \: cm) + 2 \: (4 \: cm \times 5 \: cm) \\ \\ = 2 \: (12 \: {cm}^{2} ) + 2 \: ( 15 \: {cm}^{2} ) + 2 \: (20 \: {cm}^{2} ) \\ \\ = 24 \: {cm}^{2} + 30 \: {cm}^{2} + 4 0\: {cm}^{2} \\ \\ = 94 \: {cm}^{2} [/tex]

[tex]\purple{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35}}}}}[/tex]

Answer:

The time-mean speed of the minivans is of 105.8 seconds.

Step-by-step explanation:

Mean of a data-set:

The mean of a data-set is the sum of all values in the data-set divided by the number of values.

Five minivans, times of: 98.0, 108.0, 113.0, 108.0, 102.0, in seconds.

Thus, the mean is:

[tex]M = \frac{98 + 108 + 113 + 108 + 102}{5} = 105.8[/tex]

The time-mean speed of the minivans is of 105.8 seconds.

Answer:

[tex]P(x< 240) = 0.0521[/tex]

Step-by-step explanation:

Given

[tex]\bar x = 266[/tex]

[tex]\sigma = 16[/tex]

Required

[tex]P(x < 240)[/tex] --- pregnancy will last less than 240 days

First, calculate the z score

[tex]z = \frac{x - \bar x}{\sigma}[/tex]

Where:

[tex]x = 240[/tex]

So, we have:

[tex]z = \frac{240 - 266}{16}[/tex]

[tex]z = \frac{-26}{16}[/tex]

[tex]z = -1.625[/tex]

So:

[tex]P(x< 240) = P(z < -1.625)[/tex]

From z probability:

[tex]P(z < -1.625) = 0.052081[/tex]

[tex]P(z < -1.625) = 0.0521[/tex] --- approximated

So:

[tex]P(x< 240) = 0.0521[/tex]

Answer:

4 weeks = 105

16 weeks = 42

24 weeks = 0

Step-by-step explanation:

the function is missing the 'w'

it should be : C(w) = 126 - 5.25w

'w' is the number of weeks

Substitute number of weeks in the 'w' spot

first one is 4 weeks, so

C(w) = 126 - 5.25(4)

= 126 - 21

= 105

Answer:

true

Step-by-step explanation:

Answer:

B. 4/3pi (7^3)

Step-by-step explanation:

The volume of a sphere is given by

V = 4/3 pi r^3

We know the radius is 7

V = 4/3 pi 7^3

Answer:

using the formula is 87°F but without it is near 140°F

Answer:

C) f(x) = 1500(2.15)x

Step-by-step explanation:

Got it right on Edge :)

Answer:

21%

Step-by-step explanation:

Area of one sprinkler

a = πr²

a = π10²

a = 314.159 ft²

8 sprinklers

a = 8 * 314.159

a = 2,513.272

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

area of field

a = lw

a = 80 * 40

a = 3200

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

area not watered

a = 3200 - 2,513.272

a = 686.728

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

percentage not watered

p = 686.728 / 3200 * 100%

p = 21.46025%

Rounded

21%

Answer:

Three of your next six donuts sold will be cake donuts.

Step-by-step explanation:

14:7 simplified to a unit ratio is 2:1. Using this information, we know that 6:3 is the ratio for the next 6 donuts.

Answer:

-46

Step-by-step explanation:

To find your score, take Bill's score which is -17 and if it is 29 less than, you subtract 29

So, - 17 - 29 is -46

Answer:19.82

Step-by-step explanation:

Got it right i did it on a test

Answer:

(A) 89 (B) 91 (C) 92 (D) 95 4.If |x−2| = p, where x < 2, then x+1 equals (A) −2 (B) 3− p (C) |2p−2| (D) 2p−2 5.A

Step-by-step explanation:

Following are the calculation to the find the value of x:

Given:

Please find the question.

To find:

x=?

Solution:

[tex]\frac{71}{7} <\frac{x}{9} < \frac{113}{11}\\\\10 <\frac{71}{7} < 11 \\\\10< \frac{113}{11}<11\\\\\frac{x}{9} >10\\\\x>90\\\\\text{When}\ x=91 \\\\\frac{71}{7} > \frac{91}{9}\\\\x=92\\\\ \frac{71}{7}< \frac{92}{9} <\frac{113}{11}\\\\[/tex]

so, x= 92 \\\\

by compare score value x= 92

Learn more:

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Answer:

Step-by-step explanation:

Given that:

[tex]P = \left[\begin{array}{ccc}0.22&0.20&0.65\\0.62&0.60&0.15\\0.16&0.20&0.20\end{array}\right][/tex]

For a steady-state of a given matrix [tex]\bar X[/tex]

[tex]\bar X = \left[\begin{array}{c}a\\b\\c\end{array}\right][/tex]

As a result P[tex]\bar X[/tex] = [tex]\bar X[/tex] and a+b+c must be equal to 1

So, if P[tex]\bar X[/tex] = [tex]\bar X[/tex]

Then;

[tex]P = \left[\begin{array}{ccc}0.22&0.20&0.65\\0.62&0.60&0.15\\0.16&0.20&0.20\end{array}\right]\left[\begin{array}{c}a\\b\\c\end{array}\right] =\left[\begin{array}{c}a\\b\\c\end{array}\right][/tex]

[tex]\implies \left\begin{array}{ccc}0.22a+&0.20b+&0.65c\\0.62a+&0.60b+&0.15c\\0.16a+&0.20b+&0.20c\end{array} \right = \left \begin{array}{c}a ---(1)\\b---(2)\\c---(3)\end{array}\right[/tex]

Equating both equation (1) and (3)

(0.22a+ 0.2b + 0.65c) - (0.16a + 0.2b + 0.2c) = a - c

0.06a + 0.45c = a - c

collect like terms

0.06a - a = -c - 0.45c

-0.94 a = -1.45 c

0.94 a = 1.45 c

[tex]c =\dfrac{ 0.94}{1.45}a[/tex]

[tex]c =\dfrac{ 94}{145}a --- (4)[/tex]

Using equation (2)

0.62a + 0.60b + 0.15c = b

where;

c = 94/145 a

[tex]0.62a + 0.60b + 0.15(\dfrac{94}{145}) a= b[/tex]

[tex]0.62a + 0.15(\dfrac{94}{145}) a= -0.60b+b[/tex]

[tex]0.62a + (\dfrac{141}{1450}) a= 0.40b[/tex]

[tex](0.62+\dfrac{141}{1450}) a= 0.40b[/tex]

[tex](\dfrac{62}{100}+\dfrac{141}{1450}) a= 0.40b[/tex]

[tex](\dfrac{1043}{1450})a= 0.40b[/tex]

[tex](\dfrac{1043}{1450})a= \dfrac{4}{10} b[/tex]

[tex](\dfrac{1043 \times 10}{1450 \times 4})a = \dfrac{4}{10} \times \dfrac{10}{4}[/tex]

[tex]b = (\dfrac{1043}{580}) a --- (5)[/tex]

From a + b + c = 1

[tex]a + \dfrac{1043}{580}a + \dfrac{94}{145} a = 1[/tex]

[tex]a + \dfrac{1043}{580}a + \dfrac{94*4}{145*4} a = 1[/tex]

[tex]a + \dfrac{1043}{580}a + \dfrac{376}{580} a = 1[/tex]

[tex]\dfrac{580+ 1043+376 }{580} a= 1[/tex]

[tex]\dfrac{1999}{580} a= 1[/tex]

[tex]a = \dfrac{580}{1999}[/tex]

∴

[tex]b = \dfrac{1043}{580} \times \dfrac{580}{1999}[/tex]

[tex]b = \dfrac{1043}{1999}[/tex]

[tex]c = \dfrac{94}{145} \times \dfrac{580}{1999}[/tex]

[tex]c= \dfrac{376}{1999}[/tex]

∴

The steady matrix of [tex]\bar X[/tex] is:

[tex]\bar X = \left[\begin{array}{c}\dfrac{580}{1999} \\ \\ \dfrac{1043}{1999}\\ \\ \dfrac{376}{1999}\end{array}\right][/tex]

Answer:

Given:

Cost = £ 800

Tax = 20%

To find:

The total cost

Solution:

Total cost = Cost + Tax

Tax = 20 % of cost

20 / 100 * 800

Tax = £ 160

Hence,

Total cost =  £ 800 + £ 160

Total cost = £ 960

Answer:

Option D (There is no solution) is the correct answer.

Step-by-step explanation:

According to the question, the matrix is:

⇒ [tex]\left[\begin{array}{ccc}1&-5&-4\\0&0&7\end{array}\right][/tex]

The linear equation will be:

⇒ [tex]x-5y=-4[/tex]

and

⇒ [tex]0.x+0.y=7[/tex]

i.e,

                [tex]0=7[/tex] (Not possible)

Thus the above given matrix has no solution. So the above is the correct option.

Here's an answer! :)

Answer:

10

Step-by-step explanation:

5

C

3

5!/(3!(5-3)!)

5!/(3!x2!)

120/12

10

In 10 ways can a supermarket manager display 5 brands of cereals

in 3 spaces on a shelf.

Combinations are mathematical operations that count the number of potential configurations for a set of elements when the order of the selection is irrelevant. You can choose the components of combos in any order. Permutations and combinations can be mixed up.

Given:

Total brands of cereals= 5

Using Combination, C(n, r)

= n!/ r! (n- r)!

So, the number of ways

= C(5, 3)

= 5!/(3!(5-3)!) 5

= 5 x 4 x 3! / 3! x 2!

= 5 x 4 /2

= 10

Thus, the total number of ways is 10.

Learn more about Combination here:

https://brainly.com/question/13387529

#SPJ6

Answer:

1/13

Step-by-step explanation:

there are total no of 52 cards

out of that there are 4 queen

propability = tatal no of favorable outcomes / total no of possible outcomes

=4 / 52

=1/13

Answer:

1/13

Step-by-step explanation:

Total cards = 52

Number of Queen = 4

Probability of the chosen card to be queen

                                                                   [tex]=\frac{Number \ of \ queen}{total \ number \ of \ cards}\\\\=\frac{4}{52} \\\\= \frac{1}{13}[/tex]

Answer:

9.68*10^-10

Step-by-step explanation:

The problem above can be solved using the binomial probability relation :

Where ;

P(x = x) = nCx * p^x * q^(n-x)

n = number of trials = 25

p = 1/4 = 0.25

q = 1 - p = 0.75

x = 20

P(x > 20) = p(x = 21) + p(x = 22) +.. + p(x = 25)

Using the binomial probability calculator to save computation time :

P(x > 20) = 9.68*10^-10

Answer:

Thirty rounded to the nearest whole number percent is 30% (%=percent)

Step-by-step explanation:

Well, you see that if you have 30 out of one hundred then that's when all you have to do is go with the same number and just add percent or % to the end.

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Hope this Helps

This is just evidence

Answer:

c is equal to e

Step-by-step explanation: a