In the diagram, ABC ~ DEF. The area of ABC is 72 square cm. Find the area of DEF.
А
6 cm
B
20 cm
m
Area of DEF
cm

Answer:

[tex]\mathrm{11.\:}\frac{176}{5}\pi\:\mathrm{ft^2},\\\\\mathrm{12.\:}\frac{1573}{18}\pi\:\mathrm{mi^2},\\\\\mathrm{13.\:}\frac{269.08}{24}\pi\:\mathrm{km^2}\\\\\mathrm{14.\:}\frac{252.05}{6}\pi\:\mathrm{cm^2}\\\\\mathrm{15.\:}\frac{870.75}{72}\pi\:\mathrm{yd^2}\\\\\mathrm{16.\:}\frac{5953.48}{36}\pi\:\mathrm{m^2}[/tex]

Step-by-step explanation:

The area of a sector can be given as:

[tex]\frac{c^{\circ}}{360^{\circ}}\cdot r^2\pi[/tex], where [tex]c[/tex] is the angle of the sector in degrees.

Problem 11:

[tex]\frac{88^{\circ}}{360^{\circ}}\cdot 12^2\pi=\fbox{$\frac{176}{5}\pi\:\mathrm{ft^2}$}[/tex]

Problem 12:

[tex]\frac{260^{\circ}}{360^{\circ}}\cdot 11^2\pi=\fbox{$\frac{1573}{18}\pi\:\mathrm{mi^2}$}[/tex]

Problem 13:

Convert radians to degrees:

[tex]\frac{7\pi}{12}\cdot\frac{180}{\pi}=105^{\circ}[/tex]

[tex]\frac{105^{\circ}}{360^{\circ}}\cdot 6.2^2\pi=\fbox{$\frac{269.08}{24}\pi\:\mathrm{km^2}$}[/tex]

Problem 14:

Convert radians to degrees:

[tex]\frac{5\pi}{3}\cdot \frac{180}{\pi}=300^{\circ}[/tex]

[tex]\frac{300^{\circ}}{360^{\circ}}\cdot 7.1^2\pi=\fbox{$\frac{252.05}{6}\pi\:\mathrm{cm^2}$}[/tex]

Problem 15:

[tex]\frac{215^{\circ}}{360^{\circ}}\cdot 4.5^2\pi=\fbox{$\frac{870.75}{72}\pi\:\mathrm{yd^2}$}[/tex]

Problem 16:

Convert radians to degrees:

[tex]\frac{13\pi}{18}\cdot\frac{180}{\pi}=130^{\circ}[/tex]

[tex]\frac{130^{\circ}}{360^{\circ}}\cdot 21.4^2\pi=\fbox{$\frac{5953.48}{36}\pi\:\mathrm{m^2}$}[/tex]

Hi there! :)

[tex]\large\boxed{P = 32cm}[/tex]

Find the perimeter by solving for y.

We know that a rectangle contains two pairs of parallel and congruent sides, therefore:

5y - 1 = 2y + 8

We can solve for y using this expression. Begin by subtracting 2y from both sides:

5y - 2y - 1 = 2y - 2y + 8

3y - 1 = 8

Add 1 to both sides:

3y - 1 + 1 = 8 + 1

3y = 9

Divide both sides by 3:

y = 3

Recall that the perimeter of a rectangle is:

P = 2l + 2w

Plug in the given expressions for the side lengths to find one equation:

P = 2(5y - 1) + 2(y - 1)

Simplify by distribution:

P = 10y - 2 + 2y - 2

Combine like terms:

P = 12y - 4

Plug in the solved value of y into this equation:

P = 12(3) - 4

P = 36 - 4

P = 32 cm.

Answer:

c is correct answer is yes

Answer:

D. 1/2 barrel/hour

Step-by-step explanation:

Answer:

0.5s + 8 is the cost if he downloaded s songs

$28 is the cost for downloading 40 songs

Step-by-step explanation:

First, create an equation to represent the cost where s is the number of songs

Since it is 0.50 per song, the cost per song can be represented by 0.5s. Then, add 8 to this in the equation to represent the monthly fee.

Put this together:

0.5s + 8 is the cost if he downloaded s songs

Plug in 40 as s to find the cost for 40 songs downloaded:

0.5s + 8

0.5(40) + 8

20 + 8

= 28

So, the cost for downloading 40 songs is $28

Answer:

28

Step-by-step explanation:

40 downloaded songs times .50 = 20 dollars plus the 8 dollars he pay every mouth so it's 28 dollars that mouth where he downloaded 40 songs.

y = s x .50 + 8

Answer:

Step-by-step explanation:

(6-2i)(2-3i)=

we will use foil to multiply

-12-18i-4i+6(i^2)=

now remeber that (i^2)=-1

=12-22i-6=6-22i

Explanation: To multiply two complex numbers, use the F.O.I.L method.

So we have (6 - 2i)(2 - 3i).

So we have 12 - 18i - 4i + 6i².

Combining like terms, we have 12 - 22i + 6i².

Now, remember that i² is equal to -1 so we have

12 - 22i + 6(-1) or 12 - 22i - 6 or 6 - 22i.

So our answer is 6 - 22i.

Hey there!

You would probably need to know the dimensions and surface area of the cabinet, and the dimensions and area of the sticky notes.

Hope it helps and have an amazing day!

The solution of the linear equations y = -2x - 4 and y = 2x - 4 is (0, -4).

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

The linear equations are given below.

y = -2x - 4         ...1

y = 2x - 4          ...2

From equations 1 and 2, then we have

2x - 4 = - 2x - 4

4x = 0

x = 0

Then the value of the variable 'y' is calculated as,

y = 2(0) - 4

y = - 4

The solution of the linear equations y = -2x - 4 and y = 2x - 4 is (0, -4).

More about the solution of the equation link is given below.

https://brainly.com/question/545403

#SPJ5

Answer:

μd= 1 second

σd= square root (1.25) = √1.25 seconds= 1.1180 seconds

Step-by-step explanation:

Assume that their times are independent. Let DDD be the difference between their times in a random 100-meter dash (D=A-J)(D=A−J)left parenthesis, D, equals, A, minus, J, right parenthesis.

Find the standard deviation of DD

The mean difference is found out by subtracting the individual means.

The mean difference = μd= μA- μJ= 11.5- 10.5= 1 second

The difference standard deviation is given by the square root of sum of the individual variances divided by n. But here n1= n2= 1

σd = sqrt( σ1² / n1 + σ2 ²/ n2 )

First we calculate the variances.

Variance is the square of the standard deviation.

The variance of Andy =σA²= 1²= 1

The variance of Jim =σJ²= (0.5)²= 0.25

The standard deviation difference= σd= √σ²A+ σ²J/1= √1+ 0.25/1= √1.25/1 = √1.25 seconds = 1.1180 seconds

Answer:

.3988 .

Step-by-step explanation:

We shall use Binomial distribution formula in the problem .

n = 103

The probability that a passenger will not miss the flight and show up = .97

The probability that a passenger will miss the flight = .03

n = 103 ,

probability of showing up  101 , 102 and 103 passengers so that at least 1 passenger will return or bump .

= 103C₁₀₁ .97¹⁰¹ .03² + 103C₁₀₂ .97¹⁰² .03+ 103C₁₀₃ .97¹⁰³

103 x 102 /2  .97¹⁰¹ .03² + 103  .97¹⁰² .03 + .97¹⁰³

= 5253 x .046 x .0009 + 103 x .00134 + .0434

= .2174 + .1380 + .0434

= .3988 .

The probability that the airline will have to bump at least one passenger is; 0.3988

Probability that the travelers did not show up for the flight is; q = 3% = 0.03

Probability that they will show up for the flight is; p = 97% = 0.97

P(X = r) = nCr × p^(r) × q^(n - r)

Thus, the probability that the airline will have to bump at least one passenger is;

(103C₁₀₁ × 0.97¹⁰¹ × 0.03²) + (103C₁₀₂ × 97¹⁰² × 0.03) + (103C₁₀₃ × 0.97¹⁰³ × 0.03⁰)

>> 0.2174 + 0.1380 + 0.0434

>> 0.3988

Read more on binomial probability at; https://brainly.com/question/15246027

Answer: A

Step-by-step explanation:

might as well tell ur teachers ur awesome no matter wat.

Answer:

I think the slope is -20/17 hope this helps

Answer:

42/145

Step-by-step explanation:

i tried might be wrong

Answer:

The answer is C. 60-6m.

Answer: 3 2/3

Step-by-step explanation:

how many groups of 3 can u make out of 11 units? Answer: 3

Rest overs: 2/3

Answer:

3 2/3

Step-by-step explanation:

3 can go into 11, 3 times. 3x3=9 and 11-9=2 so the mixed number would be 3 2/3

Answer:

Tough to tell by just the straight graph, but the inequality will be > or < due to the dashed line

Answer:

y>4x-2

Step-by-step explanation:

Find the slope, which is 4, from (0,-2) and (1,2).

Find the y-intercept, which is -2, because it touches the y-axis at (0,-2).

We know the equation would be a greater/less than sign because the line is dashed.

To find out which sign it is, just substitute a random point from the shaded area. (I like to use (0,0)).

(0)<4(0)-2       (0)>4(0)-2

0<0-2              0>0-2

0<-2                0>-2

The one on the right, 0>-2, is true so the sign is a greater than sign.

Answer:

20%

step-by-step way

Answer:

Answer:

The first step is to slove the numbers in the brackets

Step-by-step explanation:

[(x+7) x -2] / 4 = 7

-2(x+7) / 4 = 7

-2x-14 / 4 = 7

-2x-14 = 28

-2x = 42

x = -21

PEMDAS

I think it might be six, sorry if its wrong, but I hope its right!!

Hope this helps!!!!

love: Deku <3

Answer: 24y - 8w + 16

Step-by-step explanation:

Basically to remove the parenthesis you just distribute the -4 outside of the parenthesi and you get 24y - 8w + 16.

Answer:

Leaves are adapted for photosynthesis and gaseous exchange. They are adapted for photosynthesis by having a large surface area, and contain openings, called stomata to allow carbon dioxide into the leaf and oxygen out. ... The cells inside the leaf have water on their surface.

Answer:

the answer is 4

Step-by-step explanation:

none of the options are right

Answer:

[tex]g^{-1}(x)=\sqrt[3]{\frac{x-a}{41}}[/tex]

Step-by-step explanation:

The inverse of a function has [tex]x[/tex] and [tex]y[/tex] values switched from the original function. Therefore, simply switch [tex]x[/tex] and [tex]y[/tex] and isolate [tex]y[/tex] to get your inverse function:

Original function: [tex]g(x)=41x^3+a[/tex]

Switching [tex]x[/tex] and [tex]y[/tex], then isolating [tex]y[/tex]:

[tex]x=41y^3+a,\\x-a=41y^3,\\\frac{x-a}{41}=y^3,\\y=\sqrt[3]{\frac{x-a}{41}}[/tex].

Therefore, the inverse of the [tex]g(x)=41x^3+a[/tex] is:

[tex]\fbox{$g^{-1}(x)=\sqrt[3]{\frac{x-a}{41}}$}[/tex].

Answer:

Expand on the name.......

Parallelogram and Rectangle has rotational symmetry of 180 degree.

Trapezoid has rotational symmetry = 360 degree.

Isosceles Trapezoid has rotational symmetry = 360 degree.

Parallelogram has rotational symmetry = 180 degree.

Rhombus has rotational symmetry = 90 degree.

Rectangle has rotational symmetry = 180 degree.

Square has rotational symmetry = 90 degree.

Learn more: https://brainly.com/question/20969283

Answer:

C. 1-x

Step-by-step explanation:

Negatives are alwys less than positives meaning a&b are out and 1-100 is -99 and 10-100 is -90 meaning that C is your answer

Answer:

75?

Step-by-step explanation:

1/4 = 25

25 x 3 =75

      ----

3/4=75

Answer:

ttft

Step-by-step explanation:

Answer:

d

Step-by-step explanation: