Find the slope of the line.

Hey there! I'm happy to help!

The perimeter is the distance around the rectangle. You have used the word height, but I will replace it with the word width because the word height is usually used with 3D shapes.

If W is the width and the length is L, the formula for the perimeter is 2W+2L=P.

We can plug in the numbers we already have to solve for L, the length of our base.

2(14.2)+2L=66

28.4+2L=66

We subtract 28.4 from both sides.

2L=37.6

We divide both sides by 2.

L=18.8

The length of the base is 18.8 meters.

Have a wonderful day!

Answer:

A

Step-by-step explanation:

Since combining the equations will result to 0 = -12, it means that there are: A. no solutions to the system because the linear equations represent parallel lines.

Therefore, since the system of linear equations given have the same slope, the lines of both equations are parallel and cannot intersect.

Thus, since combining the equations will result to 0 = -12, it means that there are: A. no solutions to the system because the linear equations represent parallel lines.

Learn more about equation of parallel lines on:

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Answer:

25 pie square units

Step-by-step explanation:

it is because as they showed 90 degree as the on side the other sides=90*3 so we can easily find it

The area of the shaded region will be 18 ³/₄ π square units. Then the correct option is A.

Let r be the radius of the sector and θ be the angle subtended by the sector at the center. Then the area of the sector of the circle will be

Arc = (θ/2π) πr²

The central angle of the shaded region is (3/2)π radian. And the diameter of the sector is 10 units. Then the radius of the sector is given as,

r = d / 2

r = 10 / 2

r = 5 units

The area of the shaded region is given as,

A = ((3/2)π/2π) π (5)²

A = 25 x (3/4)π

A = (75/4)π

A = 18 ³/₄ π square units

The area of the shaded region will be 18 ³/₄ π square units. Then the correct option is A.

More about the area of the sector link is given below.

https://brainly.com/question/7512468

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Answer: Top right graph.

Step-by-step explanation:

The function ⌊x⌋ rounds the value x to the lower whole number.

for example:

⌊1.5⌋ = 1

⌊1.923⌋ = 1

⌊2.0⌋ = 2

then, the graph of ⌊x⌋ will be a black dot in the each whole number, and a horizontal segment to the right that ends with a white dot in the next whole number. Right above the white dot, we have another black dot, and it repeats.

if we have ⌊x⌋ + 2, we move te previous graph 2 units upwards, then the correct option is the top right graph.

You can check some points if you like:

f(0) = ⌊0⌋ + 2 = 2

f(0.5) = ⌊0.5⌋ + 2 = 2

f(1) = ⌊1⌋ + 2 = 3

So in x = 0 we have a black dot in y = 2, and in x = 1 we have a white dot in y = 2 and a black dot in y = 3.

Answer:

c

Step-by-step explanation:

because Ax+Bx=Cx^2

The answer is C. Amerigo Vespucci

Explanation:

Venezuela is a South-American country that was first discovered and colonized by Spanish explorers. This process included multiple expeditions that allowed colonizers to better understand the features of the territory and native people. One of these expeditions that took place in 1499, included the Italian mapmaker, Amerigo Vespucci. About this, it is claimed he considered the territory and the houses found near a lake resemble Venice, and due to this, he named the territory as "Veneziola", which later changed to the modern name Venezuela.

Answer:

c c a d c

Step-by-step explanation:

answers to the quiz edge got 100% source trust bro

Answer:

[tex]P=0.1833[/tex]

Step-by-step explanation:

The number of ways or combinations in which we can choose x elements from a group of n is calculated as:

[tex]nCx=\frac{n!}{x!(n-x)!}[/tex]

So, the probability that none of the damaged houses are insured can be calculated as:

[tex]\frac{kC3}{10C3}=\frac{kC3}{120}[/tex]

Because there are 120 ways to select 3 houses from the block of 10 houses and there are kC3 ways to select 3 houses from a group of k houses that are not insured.

The probability that none of the damaged houses are insured is 1/120, so:

[tex]\frac{kC3}{120}=\frac{1}{120}\\ kC3=1[/tex]

kC3 is equal to 1, only if k is equal to 3. It means that there are 3 houses that are not insured.

Then, the probability that one of the damaged houses is insured can be calculated as:

[tex]\frac{3C2*7C1}{10C3}=0.175[/tex]

Because we select 2 houses from the 3 that are not insured and select 1 house from the 7 that are insured.

Finally, the probability that at most one of the damaged houses is insured is equal to the sum of the probability that one of the damaged houses is insured and the probability that none of the damaged houses is insured. It is equal to:

[tex]P=\frac{1}{120}+0.175=0.1833[/tex]

Hey there! :)

Answer:

120.

Step-by-step explanation:

Substitute in 5 for x and 2 for y into the expression 4x² + 2xy:

4(5)² + 2(5)(2) =

4(25) + 2(10) =

100 + 20 =

120.

Answer:

t=4.19 seconds

Step-by-step explanation:

Distance varies directly with the square of the time of the fall

It means,

D=kt^2

18ft in 2 seconds

D=kt^2

18=k*2^2

18=4k

k=18/4

=9/2

k=9/2

D=kt^2

D=79feet

79=9/2t^2

t^2=79÷9/2

t^2=79×2/9

=158/9

t=√158/√9

t=12.57/3

t=4.19 seconds

Answer:

The picture is attached!

Step-by-step explanation:

For c, the last bracket said (y=6) and I assumed that it is (y+6).

If it is (y-6), the answer would change, so please tell me if I am wrong.

But the rest, I hope it helps, if you have any questions, please feel free to ask me:)

BRAINLIEST would help me a lot:)

Answer:

1500 people

Step-by-step explanation:

Since 40% are HIV positive (that's a lot of people), 60% will be HIV negative. All you have to do is find 60% of 2500.

60% of 2500 = 0.6 * 2500 = 6 * 250 = 1500

Hope this helps!

Answer:

a) Which item’s price was reduced by more, and by how many dollars more was it reduced?

The DVD player's price was reduced more by $3.82 than the stereo tuner's price.

b) Round all dollar values to the nearest cent.

Rounding $3.82 dollars to the nearest cents

$1 = 100 cents

$3.82 =

3.82 × 100 cents

= 382 cents

The DVD player's price was reduced by 382 cents more than the stereo tuner's price

Step-by-step explanation:

Lets day the original price of the DVD player was $100

We are told the price was marked down to 36%

36% of $100 = $36

$100 - $36 = $64

We are told the DVD cost $41.60 after the markdown.

Original cost of DVD =

$41.60/$64 × 100 = $65

Lets the original price of the Stereo player was $100

We are told the price was marked down to 22%

22% of $100 = $22

$100 - $22 = $78

We are told the DVD cost $69.42 after the markdown.

Original cost of Stereo =

$69.42/$78 × 100 = $89

DVD = $65 - $41.60 = $23.40 less 

Stereo = $89 - 69.42 = $19.58 less

Difference between the DVD and the Stereo is

$23.40 - $19.58 = $3.82

Therefore,the DVD player's price was reduced by $3.82 more than the stereo tuner's price

Rounding $3.82 dollars to the nearest cents

$1 = 100 cents

$3.82 =

3.82 × 100 cents

= 382 cents

Answer:

The answer is A on edg 2020

Step-by-step explanation:

Answer:

31.5

Step-by-step explanation:

To find the area of this shape we must divide it into 2 parts :

Answer:

2

Step-by-step explanation:

1/2+1/3+1/4 - 0.9

0.9 = 9/10

So, 1/2+1/3+1/4+9/10

The LCD is 60:

30/60+20/60+15/60+54/60 = 120/60

120/60 = 2

PLEASE MARK ME BRAINLIEST!

Answer:

2

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

Using the algebraic identity

(x + y)³ = x³ + y³ + 3xy(x + y) ← substitute x + y = 4

4³ = x³ + y³ + 12xy , that is

x³ + y³ + 12xy = 64 ( subtract 64 from both sides )

x³ + y³ + 12xy - 64 = 0

Answer:

the answer is zero

Step-by-step explanation:

x^3 + y^3 + 12xy – 64 factorize the polynomial

x^3+y^3-4^3+3(4xy)      64 is 4^3

take x+y-4 as a common factor

(x+y-4)(x^2-xy+4x+y^2+4y+16) substitute x+y=4

(4-4)(x^2+y^2-4^2-3xy)

=0 any amount multiply by zero =0

All of them are true.

A: Rule.

B: There exist such functions f and g that satisfy the equality.

C: According to (A) this is acceptable.

D: Rule.

Hope this helps.

Answer:

D part

Step-by-step explanation:

Answer: The new square is the same since it hasn't changed it's size.

Step-by-step explanation: cause it is

Answer:

is B and E

Step-by-step explanation:

I did it on edge

Answer:

third option

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Here (h, k) = (4, - 1) and r = 10÷ 2 = 5, thus

(x - 4)² + (y - (- 1))² = 5², that is

(x - 4)² + (y + 1)² = 25 ← equation of circle

Answer:

2, 6, 8, 11

Step-by-step explanation:

A number multiplied by itself gives a perfect square.

4 = 2²

36 = 6²

64 = 8²

121 = 11²

The numbers multiplied by itself that will give 4, 36, 64, 121 are 2, 6, 8 and 11 respectively

These are perfect squares number, such as

4, 9, 16, 25, 36 etc

4 = 2 × 2 = 2²

36 = 6 × 6 = 6²

64 = 8 × 8 = 8²

121 = 11 × 11 = 11²

other examples of perfect squares are

1 × 1 = 1 = 1²

3 × 3 = 9 = 3²

4 × 4 = 16 = 4²

5 × 5 = 25 = 5²

7 × 7 = 49 = 7²

9 × 9 = 81 = 9²

10 × 10 = 100 = 10²

Read more:

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Answer:

a

Step-by-step explanation:

Answer: "p divided by 11" or "p over 11" or "p by 11".

Step-by-step explanation:

We use mathematical statements to express any algebraic expression.

For example: We write 2x as "2 is multiplied by x " or " product of 2 and x".

p+q as "sum of p and q" or "p is added to q"

The given expression is : [tex]\dfrac{p}{11}[/tex]

In mathematical statements, it can be written as "p divided by 11" or "p over 11" or "p by 11".

Hence, the statements are equal to the expression  [tex]\dfrac{p}{11}[/tex] are "p divided by 11" or "p over 11" or "p by 11".

Answer:

The angles are 15,75,90

Step-by-step explanation:

Multiply the ratio by x

1x:5x: 6x

The sum of the angles of a triangle are 180

1x+5x+6x = 180

Combine like terms

12x = 180

Divide by 12

12x/12 = 180/12

x =15

Multiply by 15

1*15 : 5*15: 6*15

15: 75:90

12: 60: 72

Answer:

1 and 2 have already been done.

See below for the answers  to 4 to 6.

Step-by-step explanation:

7.  Finding the limit as x --> 2 of the function:

(2^(x + 2) - 16) / (4^x -16)

= 4(2^x - 4) / (2^x -4)(2^x + 4)

=  4 / (2^x + 4)

When x = 2 this = 4/8 = 0.5

The limit is the same whether you approach 2 from below or above.

So k = 0.5.

Answer:

2 x - y = - 2 and 22 x + 10 y = 7

Step-by-step explanation:

To find the equation to produce a solution of approximately (–0.3, 1.4), we have to solve the equations simultaneously.

a) For line 2 x - y = - 2 and 22 x + 10 y = 7

Multiply line 1 by 10 to give : 20x - 10y = -20

Add 20x - 10y = -20 and 22 x + 10 y = 7 to get:

42x = -13

x = -13/42 = -0.3

Put x = -0.3 in 2 x - y = - 2  to get:

2(-0.3) - y = - 2

-0.6 - y = -2

y = 2 - 0.6 = 1.4

x = - 0.3 and y = 1.4

This is the correct option

b) For line 3 x + 2 y = 5 and 4 x - y = 2

Multiply line 2 by 2 to give : 8x - 2y = 8

Add 8x - 2y = 48 and 3 x + 2 y = 5 to get:

11x = 13

x = 13/11 = 1.2

Put x = 1.2 in 3 x + 2 y = 5  to get:

3 (1.2) + 2 y = 5

y = 1.4

x = 1.2 and y = 1.4

c)  For line 4 x - y =  2 and 22 x + 10 y = 7

Multiply line 1 by 10 to give : 40x - 10y = 20

Add 40x - 10y = 20 and 22 x + 10 y = 7 to get:

62x = 27

x = 0.44

Put x = 0.44 in 4x - y =  2  to get:

y = -0.24

d) For line 2 x - y = - 2 and 3 x + 2 y = 5

Multiply line 1 by 2 to give : 4x - 2y = -4

Add 4x - 2y = -4 and 3x + 2 y = 5 to get:

7x = 1

x = 0.14

Put x = 0.14 in 2 x - y = - 2  to get:

y = 2.28

Answer:

it's A

Step-by-step explanation:

i took the test

Answer:

D

Step-by-step explanation:

First find the median of the data set

The median is the middle value of the data in ascending order

20,  21,  24,  25,  28,  29,  35,  37,  39,  42,  44

                                      ↑ median = 29

The third quartile is the middle value of the data to the right of the median

35,  37,  39,  42,  44

               ↑ third quartile

The third quartile of the data set is 39

Hey there! The answer will be below

B is the correct answer

Because in B the last 3 numbers are 500 (estimate) so 34,500 would be rounded to 35,000.Plus B makes the most sense.

Hope that helps!

By: xBrainly

Answer:

Step-by-step explanation:

Let the price of the house be P .

10 % of P is demanded as down payment

10 % of P  = P x 10 / 100

= P / 10

This down-payment = 50000

P / 10 = 50000

P = $5,00,000 .

Price of house = $5,00,000

Hey there! I'm happy to help!

A box and whisker plot is a super useful tool for finding these kinds of data!

The ends of the whiskers represent the maximum and minimum point in the data set. With this plot, we can immediately see that the maximum is 44 and the minimum is 20.

Then, we have a box. The edges of the box represent the 1st and 3rd quartiles. The 1st quartile is the median or middle of the first half of the data set and the 3rd quartile is the median of the second half. We see that the 1st quartile is 25 because the left edge of the box aligns with 25. The 3rd quartile is 39 by looking at the plot.

The median is the middle number of the data set. The median is represented by the line that splits the box. We see that the median is 33 by looking at the plot.

So, by interpreting the box and whisker plot, we see that the answer is D. Median=33; Q1=25.

Now you can interpret box and whisker plots! Have a wonderful day! :D

Answer:

Value of x = 4.6 (Approx)

Step-by-step explanation:

Note:

The statement in given question is missing that both angles are congruent.

Given:

m∠VWA = 120°

m∠BWC = (32 x - 27)°

Find:

Value of x

Computation:

We know that,

⇒ m∠VWA = m∠BWC

⇒ 120 = 32x - 27

⇒ 120 + 27 = 32x

⇒ 147 = 32x

⇒ x = 147 / 32

⇒ x = 4.59375

x = 4.6 (Approx)

Answer:

The stationary matrix is:

S = [0.2791, 0.7209]

Step-by-step explanation:

The transition matrix, P is:

[tex]P=\left[\begin{array}{cc}0.38&0.62\\0.24&0.76\end{array}\right][/tex]

The stationary matrix S for the transition matrix P would be obtained by computing k powers of P until all the two rows of P are identical.

Compute P² as follows:

[tex]P^{2}=\left[\begin{array}{cc}0.38&0.62\\0.24&0.76\end{array}\right]\times \left[\begin{array}{cc}0.38&0.62\\0.24&0.76\end{array}\right][/tex]

    [tex]=\left[\begin{array}{cc}0.2932&0.7068\\0.2736&0.7264\end{array}\right][/tex]

Compute P³ as follows:

[tex]P^{3}=P^{2}\times P[/tex]

    [tex]=\left[\begin{array}{cc}0.2932&0.7068\\0.2736&0.7264\end{array}\right]\times \left[\begin{array}{cc}0.38&0.62\\0.24&0.76\end{array}\right]\\\\=\left[\begin{array}{cc}0.2810&0.7190\\0.2783&0.7217\end{array}\right][/tex]

Compute P⁴ as follows:

[tex]P^{4}=P^{3}\times P[/tex]

    [tex]=\left[\begin{array}{cc}0.2810&0.7190\\0.2783&0.7217\end{array}\right]\times \left[\begin{array}{cc}0.38&0.62\\0.24&0.76\end{array}\right]\\\\=\left[\begin{array}{cc}0.2793&0.7207\\0.2790&0.7210\end{array}\right][/tex]

Compute P⁵ as follows:

[tex]P^{5}=P^{4}\times P[/tex]

    [tex]=\left[\begin{array}{cc}0.2793&0.7207\\0.2790&0.7210\end{array}\right]\times \left[\begin{array}{cc}0.38&0.62\\0.24&0.76\end{array}\right]\\\\=\left[\begin{array}{cc}0.2791&0.7209\\0.2791&0.7209\end{array}\right][/tex]

For k = 5, we get both the rows identical.

The stationary matrix is:

S = [0.2791, 0.7209]

Answer:

62.17 days

Step-by-step explanation:

The computation of the number of days  is shown below:

Given that

A(t)=10 × 0.5^(t ÷ 18.72)

1 = 10 × 0.5 ^ (t ÷ 18.72)

0.1 = 0.5 ^ (t ÷ 18.72)

Now consider the log in both sides

ln(0.1) = ln(0.5)^ (t ÷ 18.72)

ln(0.1)  ÷  ln(0.5) = (t ÷ 18.72)

3.321928095  = (t ÷ 18.72)

So, t = 62.17 days

With the help of log, we can easily compute it