3.2 Similar FiguresAssume the pair of figures below is similar.Complete the similarity statement.

Answer:

C

Step-by-step explanation:

unit rate means 1 and it says that 15 per hour which shows that c is the answer

Answer:

C. Joe rides his bike 15 miles per1 hour.

Step-by-step explanation:

Key word: PER

Any time you see the words PER, EACH, stuff like that, it is unit rate. Hope this helps!

Based on the given information, the second brand, Cola, is the more affordable option in terms of cost per milliliter compared to Co Fizz.

To determine which brand of cola is more expensive, we need to compare the cost per unit volume for each brand.

For the first brand, Co Fizz, a pack contains 4 bottles, and each bottle has a volume of 500 ml. The cost of the pack is $2.50. Therefore, the total volume in a pack is 4 * 500 ml = 2000 ml. To find the cost per milliliter (ml), we divide the total cost by the total volume: $2.50 / 2000 ml = $0.00125 per ml.

For the second brand, Cola, a pack contains 10 bottles, and each bottle has a volume of 330 ml. The cost of the pack is $2. Therefore, the total volume in a pack is 10 * 330 ml = 3300 ml. To find the cost per milliliter (ml), we divide the total cost by the total volume: $2 / 3300 ml ≈ $0.000606 per ml.

Comparing the two brands, we can see that the cost per milliliter for Co Fizz is $0.00125, while the cost per milliliter for Cola is approximately $0.000606.

Since the cost per milliliter for Co Fizz is higher than the cost per milliliter for Cola, it can be concluded that Co Fizz is more expensive in terms of price per unit volume.

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As per the concept of vector, the while loop for integers is written below.

The term vector refers  a quantity or phenomenon that has two independent properties: magnitude and direction.

Here we need to write the  a quantity or phenomenon that has two independent properties: magnitude and direction.

While we looking into the given question, we have know that,

Here the input is 1 6 5 3 -1, then

the output is: 1 6 5 3

Then the function for the given statement is written as,

while ((char1 = getchar()) != '-1')  

    {  

        if (char1 == ' ')  

            sp_ct1++;  

        else if (char1 == '\n')  

            nl_ct1++;  

        else  

            other1++;  

    }  

Therefore, the above function is used to  read integers from input until -1 is read.

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Answer:

Omg I love these problems!

x= 14

y= 5

Step-by-step explanation:

X:

(angle coa is equal to angle bod, both 25)

(Angle mod is a right angle, equal to 90)

3x+23 +25= 90

3x+48= 90

3x=42

x= 14

y:

(angle aol is right angle: 90)

(aob is 180 (straight line), so aol plus lob is 180)

90+ 5y + (3(14)+23) = 180

155 +5y= 180

5y= 25

y= 5

Please tell me if this is correct, I did not check my work. If it is, brainliest?

Answer:

see explanation

Step-by-step explanation:

(1)

\(\frac{5}{60}\) ( divide numerator/ denominator by 5 )

= \(\frac{1}{12}\) ( in simplest form )

(2)

both quantities must have the same units

1 hour = 60 minutes , then

\(\frac{60}{40}\) ( divide numerator/ denominator by 20 )

= \(\frac{3}{2}\) ( in simplest form )

(3)

1 week = 7 days then 2 weeks = 2 × 7 = 14 days , so

\(\frac{14}{4}\) ( divide numerator/ denominator by 2 )

= \(\frac{7}{2}\) ( in simplest form )

(4)

\(\frac{8}{30}\) ( divide numerator/ denominator by 2 )

= \(\frac{4}{15}\) ( in simplest form )

(5)

\(\frac{9}{45}\) ( divide numerator/ denominator by 9 )

= \(\frac{1}{5}\) ( in simplest form )

Answer:

\(\begin{array}{cccc}{Class} & {Frequency} & {Relative Frequency} &{Percent\ Frequency}\ \\ {12-14} & {2} & {0.05} & {5\%}& {15-17} & {8} & {0.200}&{20\%}& {18-20} & {11} & {0.275} & {27.5\%}& {21-23} & {10} & {0.250} &{25\%}& {24-26} & {9} & {0.225}&{22.5\%} & {Total} & {40} & {1} & {100\%}\ \end{array}\)

Step-by-step explanation:

Required

Complete the table.

First, group the data according to the class.

So, we have:

12-14:- 14 12 --- Frequency is 2

15 - 17:- 16 16 16 16 16 17 16 15 --- Frequency is 8

18 - 20:- 19 19 19 18 19 18 20 20 19 20 20 --- Frequency is 11

21 - 23:- 21 23 21 22 21 23 23 22 22 22 --- Frequency is 10

24 - 26:- 25 24 24 25  25  24 26  24  24 --- Frequency is 9

Next, fill the class frequency column

\(\begin{array}{cc}{Class} & {Frequency} \ \\ {12-14} & {2} & {15-17} & {8} & {18-20} & {11} & {21-23} & {10} & {24-26} & {9}\ \end{array}\)

Relative frequency is calculated by dividing each frequency by the total frequency (40).

So, we have:

\(\begin{array}{ccc}{Class} & {Frequency} & {Relative Frequency}\ \\ {12-14} & {2} & {0.05} & {15-17} & {8} & {0.200}& {18-20} & {11} & {0.275} & {21-23} & {10} & {0.250} & {24-26} & {9} & {0.225}\ \end{array}\)

The percent frequency is calculated by multiplying the relative frequency by 100%.

So, we have:

\(\begin{array}{cccc}{Class} & {Frequency} & {Relative Frequency} &{Percent\ Frequency}\ \\ {12-14} & {2} & {0.05} & {5\%}& {15-17} & {8} & {0.200}&{20\%}& {18-20} & {11} & {0.275} & {27.5\%}& {21-23} & {10} & {0.250} &{25\%}& {24-26} & {9} & {0.225}&{22.5\%} & {Total} & {40} & {1} & {100\%}\ \end{array}\)

Answer:

AC = 12

Step-by-step explanation:

If BC is parallel to DE then ∠D ≅ ∠B and ∠E ≅ ∠C. Therefore

ΔABC is similar to ΔADE.

The sides of smaller triangle are in proportion with sides of bigger triangle.

Therefore we have the equation:

AC/AE = AB/AD

Substitute the given numbers:

x/x+15 =8/18

18x= 8(x+15)

18x = 8x+120

10x = 120

x = 12

AC=12

Answer:

A) 81 sq units

Step-by-step explanation:

Area of a trapezoid = one-half of height multiplied by the sum of the bases (the bases are the parallel sides)

the problem gives us all the values we need:

height = 9

smaller base is 'x' which is 7

larger bases is 2y+x which is 2(2)+7 = 11

A = 1/2·(9)(7+11)

= 1/2·9·18

= 9·9 which is 81 sq units

Answer:

no solution

Step-by-step explanation:

Answer: 3

Step-by-step explanation:

3x8 = 24

24x2= 48!

8x12= 96!

Answers must be divisible by both numbers, and achievable by both inputs.

Hope This Helped

When X = 5, Y is approximately equal to 27.34.

What is proportion?

The size, number, or amount of one thing or group as compared to the size, number, or amount of another. The proportion of boys to girls in our class is three to one.

We are given that "Y varies directly as the cube of X", which can be written as:

Y = kX³

where k is a constant of proportionality. We need to find the value of k to solve for Y when X = 5.

Using the values given in the problem, we can write:

7 = k(4³)

Simplifying this equation, we get:

7 = 64k

Dividing both sides by 64, we get:

k = 7/64

Now that we know the value of k, we can solve for Y when X = 5:

Y = (7/64)(5³) = 27.34 (rounded to two decimal places)

Therefore, when X = 5, Y is approximately equal to 27.34.

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Based on a scale factor of 5:1 of the current measurement of the Thanksgiving invitations, the new measurement will be 1.8 in. x 1.6 in.

The scale factor refers to the ratio of an original object or measurement and a new object.

The scale factor can refer to a larger or smaller representation of the original measurement.  This implies that we can scale the original measurement down or up.

Current measurement = 9 in. X 8 in.

Scale factor = 5:1

= 20% (1/5 x 100)

Thus, the invitations designed with a current sizing of 9 in. x 8 in. can be scaled down with a scale factor of 5:1 to 1.8 in x 1.6 in.

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The volume of the cylinder is the extension of the base area throughout its length thus the volume of the given cylinder will be 198.

Volume is the scalar quantity of any object that specified occupied space in 3D.

For example, the space in our room is referred to as volume.

The volume of the cuboid = length × height × width.

As per the given cylinder,

The radius of the base of the cylinder = 3

Height = 7

Base area = π(radius)²

Base area = π(3)²

Base area = 9π

The volume of the cylinder = Base area × Height

Volume = 9π × 7 = 198.

Hence "The volume of the cylinder is the extension of the base area throughout its length thus the volume of the given cylinder will be 198".

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Answer:

\(\sqrt[5]{27}\)

Step-by-step explanation:

a¹/ᵇ = \(\sqrt[b]{a}\)

Radical expression of 27 ⅕ is

Answer:

2

Step-by-step explanation:

Since the lines are parallel, then the slope of line B would be the same as line A.

Answer:

Step-by-step explanation:

Answer: Changing the radius of an object by a given amount has a greater effect on the volume than changing the height by the same amount. The volume of a cylinder is given by the formula V = πr²h, where V is the volume, r is the radius, and h is the height. If we change the radius by a given amount, say x, the new radius would be r+x. Hence, the new volume would be V' = π(r+x)²h = π(r²+2rx+x²)h = V + 2πrxh + πx²h. We can see that the volume change equals 2πrxh + πx²h. The first term is proportional to both the radius and the height, whereas the second term is proportional to the square of the radius and the height. Assuming that the height change is also x, the new volume would be V'' = πr²(h+x) = V + πr²x. We can see that the volume change is proportional to the radius squared and the change in height. Therefore, changing the radius by a given amount has a greater effect on the volume than changing the height by the same amount.

Answer:

D - 16%

Step-by-step explanation:

percent change = (new number - old number)/(old number) * 100%

percent change = (87 - 75)/75 * 100%

percent change = 12/75 * 100%

percent change = 4/25 * 100%

percent change = 16%

Answer: D - 16%

The number of textbooks sold were;

Psychology textbooks : 143

Biology textbooks: 85

First, we have to determine the algebraic expression.

Let the number of biology textbooks by y

The number of psychology textbooks be 58 + y

The total number of textbooks is 228

Now, substitute the values

58 + y + y = 228

collect the like terms

y + y = 228 - 58

add or subtract the like terns

2y = 170

Divide by the coefficient of y

y = 170/2

y = 85 textbooks

Psychology textbooks = 58 + y = 58 + 85 = 143 textbooks

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Answer:

40

Step-by-step explanation:

8/40=1/5

1/5x200=40

Answer

Yes, zero is contained in the interval

In order to be eligible for the senior admission rate, a visitor must be older than 65 years - it is represented by y as y > 65.

While comparing two values when one value is greater than the other, the greater than sign can be used. It is indicated by the letter ">."

The greater than sign indicates that one number is greater than the other. When a number is marked with a larger than or equal sign, it signifies the leftmost number is more than or on par with the rightmost number. The number on the left is smaller than the number on the right if the less than sign is present. The signs for larger than and less than are additionally referred to as inequality signs. Equal does not imply unequal. While comparing two values that might not be equal, these signs are excellent.

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The Emily soccer team has the higher ratio of wins to losses.

Ratio is defined as the relationship between two quantities where it tells how much one quantity is contained in the other.

The ratio of a and b is denoted as a : b.

Given that,

Ratio of win to loss of Emily soccer team = 9 : 12

Ratio of win to loss of Grant soccer team = 10 : 15

9 : 12 = 9 / 12 = (9 × 5) / (12 × 5) = 45 / 60

10 : 15 = 10 / 15 = (10 × 4) / (15 × 4) = 40 / 60

If 60 games are losses, then 45 games are wins for Emily soccer team.

If 60 games are losses, then 40 games are wins for Grant soccer team.

Higher ratio is for Emily soccer team.

Hence higher ratio of wins to losses is for Emily soccer team.  

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Answer:

Being a quadratic equation, this will always have two solutions.  In this case, they are  complex numbers, 0.3 + 0.84261497731764i

0.3 - 0.84261497731764i.

Based on the cross-price elasticity of Demand, we can conclude that good X and good Y are substitutes.

Let's calculate the cross-price elasticity of demand using the given information:

a. Find the percentage change in quantity demanded of good Y:

Percentage Change in Quantity Demanded of Good Y = (New Quantity Demanded - Initial Quantity Demanded) / Initial Quantity Demanded * 100

Percentage Change in Quantity Demanded of Good Y = (6250 - 5000) / 5000 * 100 = 25%

b. Find the percentage change in the price of good X:

Percentage Change in Price of Good X = (New Price - Initial Price) / Initial Price * 100

Percentage Change in Price of Good X = (5 - 4) / 4 * 100 = 25%

Now, we can calculate the cross-price elasticity of demand:

Cross-Price Elasticity of Demand = Percentage Change in Quantity Demanded of Good Y / Percentage Change in Price of Good X

Cross-Price Elasticity of Demand = 25% / 25% = 1

b. Based on the calculated cross-price elasticity of demand, we can determine the types of goods:

If the cross-price elasticity of demand is positive (as in this case, where it is 1), it indicates that the two goods are substitutes. This means that when the price of good X increases, the quantity demanded of good Y also increases, suggesting that consumers view these goods as alternatives to each other.

Therefore, based on the cross-price elasticity of demand, we can conclude that good X and good Y are substitutes.

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Answer:

Step-by-step explanation: