In circle C with m BCD = 62 and BC = 12 units find area of sector BCD.
Round to the nearest hundredth.
B
D
с

Answer:

Step-by-step explanation:

The answer is B; 90°

Option C is the correct transformation to transform ABCD to A'B'C'D'.

Rotation involves moving an object about a fixed point. Each point on the object describes a circular path with the center, the center of rotation.

Translation involves moving an object such that only one of the three cartesian coordinates changes during the transformation.

here, we have,

Rotation

Rotate the square ABCD counterclockwise about the origin. Sides AD and BC of square ABCD will become parallel to the sides A'D' and B'C' respectively of the square A'B'C'D'. The square ABCD is, thus, oriented the same way as the square A'B'C'D'.

Vertical Translation

After the rotation, the side AB is 1 unit above the y-axis, which is the same as that of the square A'B'C'D'. So, the vertical position of the square ABCD is the same as that of the square A'B'C'D'.

Horizontal Translation

The side AD of the square ABCD is 5 units to the left of the x-axis. The side A'D' of the square A'B'C'D' is 8 units to the left of the x-axis. So, translate the square ABCD to the left by 3 units to coincide with the position of A'B'C'D'.

Thus, to obtain A'B'C'D' from ABCD first rotate it by 90° counterclockwise then, translate it to the left by 3 units.

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Answer:

19 in^2

Step-by-step explanation:

3in * 5in = 15in^2

2in * 2in = 4in^2

15in^2 + 4in^2 = 19in^2

Feel free to mark it as brainliest :D

Answer: 19

Step-by-step explanation:

Area of the square + Area of the Triangle

good luck my boi

Answer:

5 5/6

Step-by-step explanation:

Multiply 2 1/3 by 2 1/2.  The easiest way (?!) is to change both mixed numbers to improper fractions (I dislike that name! It just means a numerator bigger than the denominator).

2 1/3 Multiply the denominator 3 by the whole number 2, add the numerator 1 to get 6+1 = 7.  Place that over the denominator, 3.  So 2 1/3 = 7/3.

2 1/2 Multiply the denominator 2 by the whole number 2, add the numerator 1 to get 4+1=5.  Place that over the denominator, 2.  So 2 1/2 = 5/2.

Multiply 7/3 by 5/2.

[tex]\frac{5}{2} \cdot \frac{7}{3}=\frac{35}{6}[/tex]

Finally, convert the improper fractioin 35/6 to a mixed number by dividing 35 by 6 (6 goes into 35 5 whole times with 5 "left over").  The whole number part is 5 and the left over fraction part is 5/6.

5 5/6

Answer:

∠S = 151

Step-by-step explanation:

The figure shown is a pentagon

The angles in a pentagon add up to equal 540

Thus, ∠Q + ∠P + ∠T + ∠S + ∠R = 540

Or 10x - 3 + 5x + 2 + 7x - 11  + 13x - 31 + 8x - 19 = 540

This is the equation we will use to solve for x

Step 1 combine like terms

10x = 5x + 7x + 13x + 8x = 43x

-3 + 2 - 11 - 31 - 19 = -62

We now have 540 = 43x - 62

Step 2 add 62 to each side

-62 + 62 cancels out

540 + 62 = 602

we now have 602 = 43x

Step 3 divide each side by 43

43x / 43 = x

602 / 43 = 14

we're left with x = 14

Finally we plug in 14 for x in the given expression for ∠S

∠S = 13x - 31

* substitute 14 for x *

∠S = 13 ( 14 ) - 31

∠S = 13 * 14 = 182

182 - 21 = 151

Thus, ∠S = 151

The measure of ∠S is equal to 151°.

In mathematics, shapes define the perimeters or contours of an object. The forms can be categorized into numerous groups according to their individual traits. A border or outline made up of points, lines, curves, etc. frequently surrounds the forms.

As per the given data:

We are given the diagram of a shape and all its internal angles.

As the given shape is having 5 sides, it will be a pentagon.

The sum of all internal angles in a pentagon is equal to 540°.

∴ ∠P + ∠Q + ∠R + ∠S + ∠T = 540°

⇒ 10x - 3 + 5x + 2 + 7x - 11 + 13x - 31 + 8x - 19 = 540

= 43x - 62 = 540

= 43x = 602

x = 14

To find the measure of ∠S.

∠S = 13x - 31

∠S = 13(14) - 31

∠S = 151°

The measure of ∠S is equal to 151°.

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Step-by-step explanation:

the rectangle area=L*W

(5x+2)(2x-1)

10x^2-5x+4x-2

10x^2-x-2

Answer:

(- 2, 4 )

Step-by-step explanation:

Given the 2 equations

3x + 5y = 14 → (1)

y = [tex]\frac{1}{2}[/tex] x + 5 → (2)

Substitute y = [tex]\frac{1}{2}[/tex] x + 5 into (1)

3x + 5([tex]\frac{1}{2}[/tex] x + 5) = 14

3x + [tex]\frac{5}{2}[/tex] x + 25 = 14

[tex]\frac{11}{2}[/tex] x + 25 = 14 ( subtract 25 from both sides )

[tex]\frac{11}{2}[/tex] x = - 11 ( multiply both sides by 2 )

11x = - 22 ( divide both sides by 11 )

x = - 2

Substitute x = - 2 into (2) for corresponding value of y

y = [tex]\frac{1}{2}[/tex] × - 2 + 5 = - 1 + 5 = 4

solution is (- 2, 4 )

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

x^2−6x+9=5

Step 2: Subtract 5 from both sides.

x^2−6x+9−5=5−5

x^2−6x+4=0

Step 3:  a=1, b=-6, c=4

1x^2+−6x+4=0

Step 4: Quadratic formula (a) =1, b=-6, c=4

x= 6±√20 /2

Step 4: Last Step

x=3−√5

Explanation in words:

The first step of solving (x – 3)^2 = 5 is to use the quadratic formula. So the first step is to Simplify both sides of the equation which is the (x−3)^2. Our answer will led up to 5 after that.

Moving on to step 2 we will have to now subtract the 5 from both sides. So 5−5 = 0. So in this step, our answer is now led up to 0.

Now on the step 3 we will now have to use the formula named "quadratic formula". So in this case we will solve this equation with that formula       a=1, b=-6, c=4. At the end our answer will led up to x=3−√5.

Answer:

x=3+√5

x=3−√5

Hope this helps.

Answer:

Step-by-step explanation:

IG you wanted to solve for X ?   there are two answers ofc,  

x= 3-[tex]\sqrt{5}[/tex]

x=3+[tex]\sqrt{5}[/tex]

$14.40. And then you have the tax. :D

Have A Great Day.

The cost of 2 dozen pens will be "$14.4".

Given:

Cost of 6 pens,

As we know,

then,

                        = [tex]24[/tex]

Now,

→ The cost of 1 pen will be:

= [tex]\frac{3.60}{6}[/tex]

= [tex]0.6[/tex] ($)

hence,

→ The cost of 24 pens (2 dozen) will be:

= [tex]0.6\times 24[/tex]

= [tex]14.4[/tex] ($)

Thus the above solution is right.

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[tex]\sf\purple{The\:value\:of\:x\:is\:10.4.}[/tex]✅

Step-by-step explanation:

[tex] \frac{(10x - 4)}{5} = 20 \\ ✒ \: 10x - 4 = 20 \times 5 \\ ✒ \: 10x = 100 + 4 \\ ✒10x = 104 \\ ✒ \: x = \frac{104}{10} \\ ✒ \: x = 10.4[/tex]

[tex]\sf\red{Therefore,\:the\:value\:of\:x\:is\:10.4.}[/tex]

To verify:-

[tex] \frac{(10x - 4)}{5} = 20 \\ ✒ \: \frac{10 \times 10.4 - 4}{5} = 20 \\ ✒ \: \frac{104 - 4}{5} = 20 \\ ✒ \: \frac{100}{5} = 20 \\ ✒ \: 20 = 20 \\ ✒ \: L.H.S.=R. H. S[/tex]

Hence verified. ✔

[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]

Answer:

Step-by-step explanation:

From the question we are told that:

Null Hypothesis [tex]H_0: 50[/tex]

Alternative Hypothesis [tex]H_a: > 50[/tex]

Sample size [tex]n=50[/tex]

standard deviation[tex]\sigma=6[/tex]

Significance level [tex]\alpha=0.05[/tex]

a)

Sample mean [tex]\=x=52.5[/tex]

Generally the equation for Test statistics is mathematically given by

[tex]t=\frac{\=x-\mu}{\frac{\sigma}{\sqrt{n} } }[/tex]

[tex]t=\frac{52.5-50}{\frac{6}{\sqrt{50} } }[/tex]

[tex]t=2.95[/tex]

Therefore from table

[tex]Critical\ value=1.645[/tex]

We conclude The value of test statistics is greater than critical value.

Therefore we Reject the Null hypothesis [tex]H_0[/tex]

b)

Sample mean [tex]\=x=51[/tex]

Generally the equation for Test statistics is mathematically given by

[tex]t=\frac{\=x-\mu}{\frac{\sigma}{\sqrt{n} } }[/tex]

[tex]t=\frac{51-50}{\frac{6}{\sqrt{50} } }[/tex]

[tex]t=1.18[/tex]

Therefore from table

[tex]Critical\ value=1.645[/tex]

We conclude,The value of test statistics is less than critical value.

Therefore we Fail to Reject the Null hypothesis [tex]H_0[/tex]

c)

Sample mean [tex]\=x=51[/tex]

Generally the equation for Test statistics is mathematically given by

[tex]t=\frac{\=x-\mu}{\frac{\sigma}{\sqrt{n} } }[/tex]

[tex]t=\frac{51.8-50}{\frac{6}{\sqrt{50} } }[/tex]

[tex]t=2.12[/tex]

Therefore from table

[tex]Critical\ value=1.645[/tex]

We conclude The value of test statistics is greater than critical value.

Therefore we Fail to Reject the Null hypothesis [tex]H_0[/tex]

Answer:

No

Step-by-step explanation:

Answer:

y = 5.66388 feet, (round that to whatever you need to round to)

Step-by-step explanation:

cos (51) = y/9

cos(51)*9=

y = 5.66388 feet

Answer:

I believe it’s option c!

Step-by-step explanation:

Correct me if I’m wrong!

9514 1404 393

Answer:

  (x, y) = (2, 2)

Step-by-step explanation:

We can put the second equation into standard form by dividing by -2.

  x -2y = -2

Adding this to the first equation eliminates x

  (x -2y) +(-x -y) = (-2) +(-4)

  -3y = -6

  y = 2 . . . . . divide by -3

  -x -(2) = -4 . . . . substitute for x in the first equation

  2 = x . . . . . . . . add 4+x

The solution is (x, y) = (2, 2).

Answer:

here is the right answer

C- (2,4)

Answer:

C. 40,25,-16,-2 Celsius

Answer:

False.

Step-by-step explanation:

Time-series graph is a graph that relates something to the change of time, then the time is the single variable in this case.

Bar graphs relate a given quantity to a given variable, an example of this can be the population of a given city (represented by the height of each bar) for each different year (which is the single variable in this case)

Pie-chart is a circular graph with defined sections that represent a given proportion. This kind of graph is used to represent percentages, like in the case of a pie chart that describes the number of men and women in a city. (one section of the circle represents the percentage of women and the other section of the circle represents the percentage of men). In this type of graph, there are no variables, so this is not a single variable graph.

Then the statement:

"Examples of graphs of a single variable include pie charts, bar graphs, and time-series graphs."

Is false.

the answer is x=1/2+3y/4

Answer:

x:(1/2,0)

y:(0,-2/3)

this is the points in the graphic

Answer:

389

Step-by-step explanation:

3*118 + 35

Answer:

i would say A

Step-by-step explanation:

Answer:

[tex]E(x) = 4.500[/tex] --- Expected value

[tex]SD(x) = 2.872[/tex] --- Standard deviation

Step-by-step explanation:

Given

[tex]\begin{array}{ccccccccccc}x & {0} & {1} & {2} & {3} & {4}& {5} & {6} & {7} & {8} & {9} \ \\ P(X=x) & {\frac{1}{10}} & {\frac{1}{10}} & {\frac{1}{10}} & {\frac{1}{10}} & {\frac{1}{10}}& {\frac{1}{10}} & {\frac{1}{10}} & {\frac{1}{10}} & {\frac{1}{10}} & {\frac{1}{10}} \ \end{array}[/tex]

Solving (a): Expected value

This is calculated using:

[tex]E(x) = \sum\limits^{9}_{i=0} x_i * P(X = x_i)[/tex]

Since they all have the same probability, the formula becomes:

[tex]E(x) = \frac{1}{10}\sum\limits^{9}_{i=0} x_i[/tex]

[tex]E(x) = \frac{1}{10}(0+1+2+3+4+5+6+7+8+9)[/tex]

[tex]E(x) = \frac{1}{10}*45[/tex]

[tex]E(x) = \frac{45}{10}[/tex]

[tex]E(x) = 4.500[/tex]

Solving (b): Standard Deviation

First, we calculate the variance using

[tex]Var(x) = E(x^2) - (E(x))^2[/tex]

In (a), we have:

[tex]E(x) = 4.500[/tex]

[tex]E(x^2)[/tex] is calculated as:

[tex]E(x^2) = \sum\limits^{9}_{i=0} x_i^2 * P(X = x_i)[/tex]

Since they all have the same probability, the formula becomes:

[tex]E(x^2) = \frac{1}{10}\sum\limits^{9}_{i=0} x_i^2[/tex]

So, we have:

[tex]E(x^2) = \frac{1}{10}(0^2+1^2+2^2+3^2+4^2+5^2+6^2+7^2+8^2+9^2)[/tex]

Using a calculator

[tex]E(x^2) = \frac{1}{10}(285)[/tex]

[tex]E(x^2) = 28.5[/tex]

So:

[tex]Var(x) = E(x^2) - (E(x))^2[/tex]

[tex]Var(x) = 28.5 - 4.5^2[/tex]

[tex]Var(x) = 28.5 - 20.25[/tex]

[tex]Var(x) = 8.25[/tex]

The standard deviation is then calculated as:

[tex]SD(x) = \sqrt{Var(x)}[/tex]

[tex]SD(x) = \sqrt{8.25}[/tex]

[tex]SD(x) = 2.872[/tex] ---- approximated

Answer:

14mm×20mm=280mm²

14mm×12mm/2=84mm²

3.14×10²mm=314mm²

280m²+84mm²+314mm²=678mm²

Answer:

521mm^2

Step-by-step explanation:

First, separate the shapes.

-Half circle= diameter of 20, radius 10

-Rectangle= 14x20

-Triangle= (32-20)x14= 12x14

Then, calculate

Circle equation= (pi)r^2= (pi)(10)^2= 314.16    -> divide by 2 for half circle= 157.1

Rectangle= 14x20=280

Triangle= (12x14)=168   ->  Divide by two because it's a triangle= 84

Add 157 + 280 + 84 and you get  521

Answer:

First column 35

Second column 60

It is 91.6083916% likely that the soil sample contains organic matter

Step-by-step explanation:

700 -655= 35

300 -240= 60

655 +60 = 715

715÷655 = 0.916083916

0.916083916 x 100 = 91.6083916%

The surface area of the right cone in terms of pi is 176π units².

A cone is simply a 3-dimensional geometric shape with a flat base and a curved surface pointed towards the top.

The surface area of a cone is expressed as;

Surface area  = πrl + πr²

Where r is the radius of the base, l is the slant height of the cone and π is constant pi.

From the diagram:

Radius r = 8 units

Slant height h = 14 units

Surface area =?

Plug the given values into the above formula and solve for surface area:

Surface area = πrl + πr²

Surface area = ( π × 8 × 14 ) + ( π × 8² )

Surface area = ( π × 112 ) + ( π × 64 )

Surface area = 112π + 64π

Surface area = 176π units²

Therefore, the surface area is 176π units².

Option A)176π units² is the correct answer.

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Answer:

0.9 = 90% probability that it arrived during the last 30 seconds of the 5-minute period.

Step-by-step explanation:

The car is equally as likely to arrive during each second of the interval, which means that the uniform distribution is used to solve this question.

A distribution is called uniform if each outcome has the same probability of happening.

The uniform distribution has two bounds, a and b, and the probability of finding a value higher than x is given by:

[tex]P(X \geq x) = \frac{b - x}{b - a}[/tex]

5-minute period

This means that [tex]a = 0, b = 5*60 = 300[/tex]

Find the probability that it arrived during the last 30 seconds of the 5-minute period.

300 - 30 = 270. So

[tex]P(X \geq 270) = \frac{300 - 270}{300 - 0} = 0.9[/tex]

0.9 = 90% probability that it arrived during the last 30 seconds of the 5-minute period.

Answer:

Mixed Fraction

Step-by-step explanation:

A mixed fraction is a fraction with a whole number attached to it like 5 1/5 or 3 1/2

[tex]1\frac{4}{5}[/tex] is an example of a mixed fraction.

A fraction represented with its quotient and remainder is a mixed fraction. For example, 2 1/3 is a mixed fraction, where 2 is the quotient, 1 is the remainder. So, a mixed fraction is a combination of a whole number and a proper fraction.

A mixed number is a whole number, and a proper fraction represented together.  It generally represents a number between any two whole numbers.

A mixed number is formed by combining three parts: a whole number, a numerator, and a denominator. The numerator and denominator are part of the proper fraction that makes the mixed number.

Properties of Mixed Numbers :

1. It is partly a whole number.  

2. It is partly a fraction.

[tex]1\frac{4}{5}[/tex] is an example of a mixed fraction.

In [tex]1\frac{4}{5}[/tex] , 2 is the quotient, 4 is the remainder.

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Answer:

[tex]P(t) = 1460(1.06)^t[/tex]

Step-by-step explanation:

Exponential equation for population growth:

The exponential equation for a population after t years is given by:

[tex]P(t) = P(0)(1+r)^t[/tex]

In which P(0) is the initial population and r is the growth rate, as a decimal.

Currently, there are 1,460 wolves in Scataway National Park.

This means that [tex]P(0) = 1460[/tex]

Growing at a rate of 6% every year:

This means that [tex]r = 0.06[/tex]. So

[tex]P(t) = P(0)(1+r)^t[/tex]

[tex]P(t) = 1460(1+0.06)^t[/tex]

[tex]P(t) = 1460(1.06)^t[/tex]

Answer:

Step-by-step explanation:

Answer:

The correct answer is "0.0000039110".

Step-by-step explanation:

The given values are:

[tex]Y_n\rightarrow N(\mu, \sigma^2)[/tex]

[tex]\mu = 40n[/tex]

[tex]\sigma^2=100n[/tex]

[tex]n=20[/tex]

then,

The required probability will be:

= [tex]P(Y_{20}>1000)[/tex]

= [tex]P(\frac{Y_{20}-\mu}{\sigma} >\frac{1000-40\times 20}{\sqrt{100\times 20} } )[/tex]

= [tex]P(Z>\frac{1000-800}{44.7214} )[/tex]

= [tex]P(Z>\frac{200}{44.7214} )[/tex]

= [tex]P(Z>4.47)[/tex]

By using the table, we get

= [tex]0.0000039110[/tex]

Answer:

wow!

Step-by-step explanation: