Quadrilateral A'B'C'D'is a translation of quadrilateral ABCD. What is the length
of B'C'?
A
60
A. 7 units
B. 6 units
OC. 4 units
D. 3 units
A'
D'

Answer:

\(Change = 1\frac{1}{12}\)

Step-by-step explanation:

Given

\(Increment = 1\frac{1}{4}\)

\(Decrement = 1\frac{2}{3}\)

\(Increment = 1\frac{1}{2}\)

Required

Determine the overall change

The overall change is calculated by adding all increments and subtract the decrement.

This is done as follows;

\(Change = 1\frac{1}{4} - 1\frac{2}{3} + 1\frac{1}{2}\)

Convert to Improper Fraction

\(Change = \frac{5}{4} - \frac{5}{3} + \frac{3}{2}\)

Take LCM

\(Change = \frac{15 - 20 + 18}{12}\)

\(Change = \frac{13}{12}\)

Convert to mixed number

\(Change = 1\frac{1}{12}\)

Hence; the overall change is an increment of \(1\frac{1}{12}\)

Answer:

radius = 51.70 cm

Step-by-step explanation:

Volume = (2/3) π r³

Volume = 92160 π

Radius = ?

Using the above formula

V = (2/3) π r³

r³ = v/((2/3) π)

r³ = ((92160 π) x 3) / (2 x π)

r³ = 276480/2 because (π/π) = 1

r³ = 138240

Taking cube root on both sides

r = 51.70 cm

Answer:

\(\begin{array}{cccc}{Score\ Interval} & {f} & {Proportion} & {Percentage} & {9-10} & {29} &{0.19} & {19\%} & {7-8} & {53} & {0.34} & {34\%} &{5-6}& {50} & {0.32} & {32\%} &{3-4} & {22} & {0.14} & {14\%} & {1-2} & {1} & {0.01} & {1\%} \ \end{array}\)

Step-by-step explanation:

Given

\(\begin{array}{cccc}{Score\ Interval} & {f} & {Proportion} & {Percentage} & {9-10} & {29} &{0.19} & {19\%} & {7-8} & {53} & {} & {} &{5-6}& {50} & {} & {} &{3-4} & {22} & {0.14} & {14\%} & {1-2} & {1} & {0.01} & {1\%} \ \end{array}\)

Required

Fill in the gaps

First, we calculate the total frequency:

\(Total = \sum f\)

\(Total = 29+53+50+22+1\)

\(Total = 155\)

The proportion (p) is calculated by:

\(p = \frac{f}{Total}\)

The percentage (P) is calculated by:

\(P = p * 100\%\)

For interval 7 - 8, we have:

\(p = \frac{53}{155} = 0.34\)

\(P = 0.34 * 100\% = 34\%\)

For interval 5 - 6, we have:

\(p = \frac{50}{155} = 0.32\)

\(P = 0.32 * 100\% = 32\%\)

So, the complete table is:

\(\begin{array}{cccc}{Score\ Interval} & {f} & {Proportion} & {Percentage} & {9-10} & {29} &{0.19} & {19\%} & {7-8} & {53} & {0.34} & {34\%} &{5-6}& {50} & {0.32} & {32\%} &{3-4} & {22} & {0.14} & {14\%} & {1-2} & {1} & {0.01} & {1\%} \ \end{array}\)

1st Answer:

2 3/4 cups of dough divided by the amount used for each dumpling 3/16

would be

11/4/3/16=

=44/3

=14 2/3

which would be about 14 whole dumplings!

Given the equations a × b = 5742 × 6368, a × c = 5748 × 6362, and c × b = 5738 × 6372, we need to determine the relationship between the three variables a, b, and c.

By comparing the given equations, we notice that the numbers on the right-hand side of each equation are very close to each other, differing only by small amounts. This suggests that a, b, and c are approximately equal.Since a × b, a × c, and c × b involve the same numbers with slight variations, we can conclude that a, b, and c are all very close in value.

Therefore, the inequality we can infer from this information is a ≈ b ≈ c, indicating that a, b, and c are approximately equal.

In simple terms, based on the given equations, it suggests that the values of a, b, and c are very similar or approximately equal to each other.

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Answer:

C

Step-by-step explanation:

I am pretty sure I dont know.

Answer:

C

squares in c don't cover the whole area thus won't help

The distance between the two points is approximately 5.66 units

Using the formula for the distance between two points on a coordinate plane:

Distance = √[(y2 - y1)^2 + (x2 - x1)^2]

We can plug in the given values into the distance formula:

given that

y2 = 9, y1 = 13, x2 = 4, and x1 = 0

= √[(9 - 13)^2 + (4 - 0)^2]

= √[(-4)^2 + (4)^2]

= √(16 + 16)

= √32

= 4√2

= 5.6569

= 5.66

Therefore, the distance between the two points is approximately 5.66 units, which corresponds to option A.

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Answer:

slope = \(\frac{5}{9}\) , y- intercept = - 5

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

given

5x - 9y = 45 ( subtract 5x from both sides )

- 9y = - 5x + 45 ( divide through by - 9 )

y = \(\frac{-5}{-9}\) x + \(\frac{45}{-9}\) , that is

y = \(\frac{5}{9}\) x - 5 ← in slope- intercept form

with slope m = \(\frac{5}{9}\) and y- intercept c = - 5

Answer:4,891 are undergraduate students .

Step-by-step explanation:

Total  Number of students = 6700

Percentage  of Undergraduate students = 73%

Number of  Undergraduatre students = Percentage  of Undergraduate students x Total Number of students

= 73% x 6700

73/100 x6700

=4,891 are undergraduate students .

Answer:

$22.95

Step-by-step explanation:

The individual that will be paying the most for their purchase is: B.edgar paid with a credit card and paid the minimum payment each month

The individual that will pay the most according to the data provided is Edgar. Edgar's payment is spread out to the longest length of time. So, he will have to pay the added dues for extending his payment.

Usually, the person who pays cash pays the least amount while the person who pays in installments is charged for additional time spent in making the payment.

Complete Question:

Each of the following people bought a watch that costs $300. Which of the following people will pay the most for their purchase A.Sarah paid cash B.edgar paid with a credit card and paid the minimum payment each month C.susan paid with a credit card and paid the minimum payment plus 30 each month D. Sean paid with a credit card and paid the full balance the first of the month

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Answer: 42

Step by step:

42 is divisible by both 7 and 2

Answer:

44

Step-by-step explanation:

4 x 11 = 44

2 x 22 = 44

Answer:

multiplication prop of equality, (multiplying both sides by 6)

simplifying, (not distrib prop as there is no parentheses)

Addition prop of equality, (adding 18 to each side)

simplifying

Answer:

6 cupcakes or 6/10 or 3/5

Step-by-step explanation:

we have the following:

one supplier is selling boxes of 20 DVD movies for $240

second supplier is selling boxes of 13 DVD movies for $170.

Total cost of DVDs = Cost of 20 DVDs by supplier 1 + Cost of 13 DVDs by supplier 2

Total cost of DVDs = 240 + 170

Total cost of DVDs= $410

Answer:

B

Step-by-step explanation:

Subtract 150 from both sides

-5r ≥ -62.5

Divide both sides by -5

r ≤ 12.5

(The greater than sign flips around when you divide or multiply both sides by a negative number)

Answer:

270m^2

Step-by-step explanation:

30m*18m/2 = 270m^2

Answer:

270

Step-by-step explanation:

Answer:

1st one is 6.9 X 10^6

2nd one is 2 x 10^5

Step-by-step explanation:

Answer:

c. 84 ft²

Step-by-step explanation:

lateral area = 1/2 * base perimeter * height

where

base sides = 6 ft.

height (L) = 7

lateral area = 1/2 x (4*6) * 7

lateral area = 84 ft²

LA = 1/2pl

p = base perimeter

l = length

p = (6 * 4)

p = 24

l = 7

Use the formula and solve.

LA = 1/2(24)(7)

LA = 1/2(168)

LA = 84

Therefore, the answer is C

Best of Luck!

Hello!

We will go tu use the pythagorean theorem!

So:

BA² = BC² + AC²

AC² = BA² - BC²

AC² = 52² - 20²

AC² = 2304

AC = √2304

AC = 48

Answer:

Step-by-step explanation:

a. 35 greater than or equal to 14 + x

   35 - 14 = 21

   x = $21

b. If the shirt is 30% off it would cost $9.80

   14 x 0.3 = 4.2

   14 - 4.2 = 9.8

   35 is greater than or equal to 9.80 + x

   35 - 9.8 = 25.2

   x = $25.20

   This changes the inequality by making x greater than it was in part a

c. Yes, you do have enough money to buy the shirt that is on sale and a pair of pants. x is the amount that you have left to spend after you buy the shirt that is on sale. 25.20 is greater than the cost of the pants.

It would cost approximately $52.18 to drive from Statesville, NC to Washington, DC with a car that gets 29 miles per gallon on the interstate, considering a gas cost of $3.89 per gallon.

To calculate the time it would take to drive from Statesville, NC to Washington, DC, we can divide the distance of 389 miles by the average speed of 65 mph.

Time = Distance / Speed

Time = 389 miles / 65 mph

Time ≈ 5.98 hours

Therefore, it would take approximately 5.98 hours to drive from Statesville, NC to Washington, DC on interstates with an average speed of 65 mph.

To calculate the cost of driving to Washington, DC, we need to know the number of gallons of gas required for the trip. We can find this by dividing the distance by the car's mileage, which is 29 miles per gallon.

Number of gallons = Distance / Mileage

Number of gallons = 389 miles / 29 miles per gallon

Number of gallons ≈ 13.41 gallons

The cost of gas can be calculated by multiplying the number of gallons by the cost per gallon, which is $3.89.

Cost = Number of gallons * Cost per gallon

Cost ≈ 13.41 gallons * $3.89/gallon

Cost ≈ $52.18

Therefore, it would cost approximately $52.18 to drive from Statesville, NC to Washington, DC with a car that gets 29 miles per gallon on the interstate, considering a gas cost of $3.89 per gallon.

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Answer:

The slope is 1.

Step-by-step explanation:

Slope is (y2-y1)/(x2-x1). Plug in the given points.  (4-1)/(4-1) is 3/3.  This reduces to 1.  The slope of the line is 1.

Answer:

consider a right angle triangle. ∠A = 90° , ∠B = \(\theta\)

\(Sin\theta = \frac{6}{7} => AC = 6, BC = 7 \\\\BC^2 = AB^2 + AC^2 \\\\49 = 36 + AB^2 \\\\AB = \sqrt{13} \\\\Tan \theta = \frac{opposite}{adjacent } = \frac{6}{\sqrt{13} }\)

The table that represents the function for a lawn being mowed more quickly than by Killian's rate is given as follows:

Second table.

The average rate of change of a function is given by the change in the output of the function divided by the change in the input of the function. Hence we must identify the change in the output, the change in the input, and then divide then to obtain the average rate of change.

Killian can cut grass at a rate of 1000 square feet each 10 minutes, hence his average rate of change is given as follows:

1000/10 = 100 square feet per minute.

For the second table, in 7 minutes, 1100 square feet of lawn is mowed, hence the rate is given as follows:

1100/7 = 157 square feet per minute.

It is more quickly than Killian's as the rate of change is greater.

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The answer would be (C) 20.

Answer:

The 2nd quartile, also known as the median, is the middle value of a dataset, or the value that separates the lower half of the data from the upper half. In a box-and-whisker plot, the 2nd quartile is represented by the line in the middle of the box.

In the given box-and-whisker plot, the 2nd quartile is 12.5, which is the middle value of the data set. This can be determined by looking at the scale on the x-axis and finding the value that is in the middle of the box.

Option B, 12.5, is the correct answer.

Step-by-step explanation: