For each pair of similar figures, find the ratio of the area of the first figure to the area of the second.

Answer:

[tex]r=\frac{14}{3}[/tex]

Step-by-step explanation:

Set up an equation and solve for r using the formula for slope:

[tex]\frac{5-7}{r-4}=-3\\ \\-2=-3(r-4)\\\\-2=-3r+12\\\\-14=-3r\\\\\frac{14}{3}=r[/tex]

Ahhh yes, the time-honored permutations.

The permutation format, to start with, is P(n, r).

The formula is:

In this instance, we have P(8, 3).

8 will go in for n and 3 for r. So now let's solve.

[tex]\frac{8!}{(8 - 3)!}[/tex]    →   [tex]\frac{8!}{5!}[/tex]   →   [tex]\frac{8*7*6*5*4*3*2*1}{5*4*3*2*1}[/tex]  →   [tex]8*7*6[/tex]  →  [tex]336[/tex]

Therefore 336 is our answer. I hope this answers your question.

-Toremi

Answer:

Step-by-step explanation:

An exponent is used to signify repeated multiplication. When the population doubles, it is multiplied by 2. The number of times the population has doubled will be an exponent of 2.

In 34 hours, the population will have doubled 34/8 = 4.25 times. The multiplier is 2 with an exponent of 4.25:

 factor = 2^4.25 ≈ 19.027

__

The population will double 24/8 = 3 times each day. After 7 days, the population will have doubled 7×3 = 21 times. The multiplication factor is ...

  factor = 2^21 = 2,097,152

Answer:

a) We need to find p(x<68.15)

Standardize x to z, we have, z = (68.15-μ)/σ

=(68.15-57)/8.1

=1.38

Reading from standard normal tables,

p(z<1.38) =0.9162.

b) We need to find p(x>54.4)

Standardize x to z, we have, z = (54.4-μ)/σ

=(54.4-57)/8.1

=-0.32

Reading from standard normal tables,

p(z>-0.32) = 0.6255

Answer:

11 and 9

Step-by-step explanation:

With a width of 11 and a length of 9 the area of the rectangle would be

11 * 9 = 99

By adding 11 and 9, then mulitplying it by 2 we get the perimeter

11 + 9 = 20

20 * 2 = 40

Answer:

The process of making financial decisions for new ventures (i.e. startups). New ventures are inherently different from established ventures, as are entrepreneurs inherently different from conventional business managers.

Number of solution for the given quadratic equation as Discriminant=0 is equals to 1.

" Quadratic equation is defined as the polynomial containing variables with highest exponent equals to 2."

Formula used

For quadratic equation

[tex]ax^{2} +bx+c=0[/tex]

Discriminant = b²-4ac

According to the question,

Given quadratic equation

[tex]-3 = x^{2} +4x+1[/tex]

⇒[tex]x^{2} +4x+1 +3 =0[/tex]

⇒[tex]x^{2} +4x+4 =0[/tex]

Here, a=1 , b= 4 , c =4

Substitute the value in the formula we get,

Discriminant = [tex]4^{2} - 4(1)(4)[/tex]

                     = [tex]16 -16[/tex]

                     = 0

Number of solution discriminant =0 is 1.

[tex]x^{2} +4x+4 =0[/tex]

⇒[tex](x+2)^{2} =0[/tex]

⇒[tex]x= -2[/tex] has unique solution.

Hence, number of solution for the given quadratic equation as Discriminant=0 is equals to 1.

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Answer:

p = 1.26

Step-by-step explanation:

We know that the total weight (p) is going to be split equally (divided) by 3.

We also know that divided weight will be equal to 0.42 pounds.

p / 3 = 0.42

To solve:

multiply both sides by 3 to cancel the division by 3

p = 1.26

To test this you could divide 1.26 by 3 again to get 0.42

Answer:

For the third one,

3, 8, 15, 24, 35, 48, 63

For the fourth one,

4, 6, 10, 18, 30, 46, 66

Step-by-step explanation:

By the vertical angle theorem, angle K is equal to the angle of measure 28 degrees.

    --> so k is 28 degrees

Hope that helps!

The probability that the student does not know the answer but he randomly guesses it is 0.146025

The question has only one right answer out of 5 choices.

Probability he answers incorrectly:

1 - 0.55 * 4/5

= 0.45 * 0.8

= 0.36

Probability he does not know answer but answers the question correctly

[tex]\frac{(1-0.55)\frac{1}{5} }{0.55+(1-0.55)\frac{1}{5} }[/tex]

= 0.09/0.55+0.09

= 0.140625

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Answer: D

Explanation: Anything times 0 is 0.

Answer:

Loss is Rs. 78

Step-by-step explanation:

Solution:

Given,

Here,

L%= L/CP ×100%

or,. 5 =L/1560×100

or,. 5×1560/100 =L

or,. L= Rs.78

Therefore, Loss is Rs.78

Answer:

It is C

Step-by-step explanation:

Answer: Point A.

Step-by-step explanation: To find the location of points such as (-1, 1 1/4), you need to know what part of the point is the x-axis and the y-axis.  The first part of the point is the x-axis, which is the horizontal line that goes left to right on the coordinate graph.  The first part of the point (-1, 1 1/4), is -1. The second part of the point is the y-axis, which is the vertical line that goes up and down on the coordinate graph.  The second part of the point (-1, 1 1/4), is 1 1/4. Therefore, we first find the x-axis to the point (-1, 1 1/4), which is -1, and so far, point A is the only option that matches.  However, we need to make sure that the point (-1, 1 1/4)'s y-axis matches to point A as well.  The y-axis to the point (-1, 1 1/4) is 1 1/4 so we need to go up 1 1/4 times, and the point that matches these actions is point A.  Therefore, that's your answer.

Let me know if this is right! :)

Answer:

The numbers are 8 , 5 , 1

Step-by-step explanation:

Let the three numbers be x,y,z

Sum of three numbere is 14

⇒ x +y + z = 14 ---------------(I)

The sum of twice the first number, 4 times the second number, and 5 times the third number is 41.

⇒ 2x + 4y + 5z = 41 -----------(II)

The difference between 7 times the first number and the second number is 51.

⇒  7x -y = 51 ---------------(III)

Multiply equation (I) by (-5) and then add this wiht equation (II). Thus 'z' will be eliminated.

(I)*(-5)        -5x - 5y - 5z = -70

(II               2x + 4y + 5z = 41   {Now add}

                -3x   - y          = - 29  ------------(IV)

Multiply (III by (-1) and then add it with equation (IV)

(III)*(-1)        -7x + y = -51

(IV)             -3x - y = -29   {Now add}

                 -10x     = -80

                          x = -80 ÷ (-10)

x = 8

Plugin x = 8 in equation (III) and we obtain the value of y

7*8 - y = 51

56 - y = 51

     -y = 51 - 56

    -y = -5

   y = -5 ÷ (-1)

y = 5

Plugin x =8 and y =5 in equaiton (I)

8 + 5 + z = 14

    13 + z = 14

         z  = 14 - 13

 z = 1

Answer:

58.8 ft^2

Step-by-step explanation:

The formula for the area of a parallelogram is simply base times height.

the base is 9.8, and the height is 6.

9.8 * 6 = 58.8.

If you found this helpful, I would appreciate if you gave me brainliest :D

Answer:

2,106 pi mm3

Step-by-step explanation:

Volume of the drill bit is equals to [tex]2,106\pi mm^{3}[/tex].

" Volume is defined as the total space occupied by a three dimensional object enclosed in it. It is measured in cubic unit."

Formula used

Volume of the cone =  [tex]\frac{1}{3} \pi r^{2}h[/tex]

Volume of the cylinder =[tex]\pi r^{2}h[/tex]

r = radius of the cone / cylinder

h = height of the cone / cylinder

According to the question,

Given,

Radius of the cylinder = 9 mm

Radius of the cone = 9 mm

Height of the cone = 24 mm

Height of the cylinder = 18 mm

Substitute the values in the formula to obtained the required volume,

Volume of the cone [tex]= \frac{1}{3} \pi (9^{2})(24)[/tex]

                                 [tex]= \pi (81)(8)\\=648\pi mm^{3}[/tex]

Volume of the cylinder [tex]= \pi (9^{2} )(18)[/tex]

                                       [tex]=1458\pi mm^{3}[/tex]

Required Volume of the drill pit

= Volume of the cone + Volume of the cylinder

[tex]= (648\pi + 1458\pi )mm^{3} \\= 2106\pi mm^{3}[/tex]

Hence, Option(B) is the correct answer.

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Question:

Joshua drinks 8 cups of water a day. The recommended daily amout is given in fluid ounces. How many fluid ounces of water does he drink each day?

What were being asked:

How many fluid ounces of water does he drink each day?

Answer:

The answer is

→ 64 fluid ounces

Step-by-step explanation:

1 cup of water = 8 fluids.

8 cups of water x 8 fluids = 64 ounces

Therefore, your answer is 64 fluid ounces.

Hope this helped! :^)

⭐Brainliest will be appreciated!⭐

✉️Message me if you have any more questions!✉️

- ✨7272033Alt✨

Submitted on 4/18/2022 at 4:08 PM

(To avoid plagarism, by users whom decide to copy.)

Answer:

5 orange slices will be in each bag with 1 left over

Step-by-step explanation:

36 ÷ 7 = 5 with a remainder of 1

Answer:

b.520 units

Step-by-step explanation:

find the area of the bigger triangle the base is 20 which is 10×2 while the height is 28. 1/2×20×28=280units find the area of the smaller triangle. the base is also 20 while the height is 24. 1/2×20×24=240. sum the areas of the two triangles. 280+240=520units

Answer:

Step-by-step explanation:

hello :  (x-6)² = 90 .....continu

Answer:

Step by step I don't see the correct first step.

Step-by-step explanation:

Solve for x:

8 x - 13 = 2 x + 17

Hint: | Move terms with x to the left hand side.

Subtract 2 x from both sides:

(8 x - 2 x) - 13 = (2 x - 2 x) + 17

Hint: | Combine like terms in 8 x - 2 x.

8 x - 2 x = 6 x:

6 x - 13 = (2 x - 2 x) + 17

Hint: | Look for the difference of two identical terms.

2 x - 2 x = 0:

6 x - 13 = 17

Hint: | Isolate terms with x to the left hand side.

Add 13 to both sides:

6 x + (13 - 13) = 13 + 17

Hint: | Look for the difference of two identical terms.

13 - 13 = 0:

6 x = 17 + 13

Hint: | Evaluate 17 + 13.

17 + 13 = 30:

6 x = 30

Hint: | Divide both sides by a constant to simplify the equation.

Divide both sides of 6 x = 30 by 6:

(6 x)/6 = 30/6

Hint: | Any nonzero number divided by itself is one.

6/6 = 1:

x = 30/6

Hint: | Reduce 30/6 to lowest terms. Start by finding the GCD of 30 and 6.

The gcd of 30 and 6 is 6, so 30/6 = (6×5)/(6×1) = 6/6×5 = 5:

Answer: x = 5

Answer:

X over y or x/y since y is claire and she skated more

Step-by-step explanation:

since y is claire and she skated more

Y=Clarie skated

X= Mai skated

Answer:

The GCF for the numerical part is 2

Step-by-step explanation:

6x^2y^2-8xy^2+10xy

It contains both numbers and variables, there are two steps to find the GCF(HCF).

1). Find the GCF for the numerical part 6, -8,10

2). Find the GCF for the variable part x^2,y^2,x^1,y^2,x^1,y^3

3).Multiply the values together.

Find the common factors for the numerical part:

6,-8,10

Factors of 6

6: 1,2,3,6

Factors of -8

-8: -8,-4,-2,-1,1,2,4,8

Factors of 10

10:1,2,5,10

Common factors of 6,-8, 10 are 1,2

The GCF Numerical=2

The GCF Variable= xy^2

Multiply the GCF of the numerical part 2 and the GCF of the variable part xy^2, and you'll get 2xy^2

Answer:

182.0

Step-by-step explanation:

500 tan20

=181.98

=182.0(to nearest tenth)

Answer:

I think its 50 if this is correct can u mark me brainliest?

Answer:

33%

Step-by-step explanation:

77 + 233= 300 so 33% don't have a license