The length of a rectangle is 4yd longer than its width. If the perimeter of the rectangle is 72yd, find its length and width.

Answer: Triangle C.

Step-by-Step Explanation:

To solve this problem, we need to understand what it means for a triangle to be a translation of another triangle. A translation for a triangle means that it is the same shape and size as the original triangle, but it has shifted (or moved) a specific number of units either up, down, left, or right.

In this problem, we have Triangle P, which has been shifted 5 units to the right and 7 units up to form Triangle C. To determine which triangle is a translation of Triangle P, we can look at the coordinates of the different triangles.

Triangle A: (1, 4), (3, 7), (5, 6)

Triangle B: (2, 3), (4, 6), (6, 5)

Triangle C: (6, 11), (8, 14), (10, 13)

Triangle D: (3, 5), (5, 8), (7, 7)

If we compare the coordinates of each triangle with those of Triangle P, we can see that Triangle C, with coordinates (6, 11), (8, 14) and (10, 13), is the translation of Triangle P because all of the coordinates of Triangle P have been shifted 5 units to the right, and 7 units up. Therefore, the answer is Triangle C.

i think a picture with help

Answer: .320 is greater than .051 (use the > sign)

Step-by-step explanation:

too lazy to explain, but yes

the answer is b the ratio would be 4:20 but it is simplified, therefor 1:5

Answer:

See attached image

Step-by-step explanation:

With this type of reflection, one has to convert the points of the form (x, y) into (y, x).

So the vertices of the triangle will transform the following way:

(4, 4)   into image (4, 4)

(4, 1)   into image  (1, 4)

(2, 1)  into image  (1, 2)

Please see attached picture to find the new reflected triangle depicted in red.

Answer:

C.

Step-by-step explanation:

Given that the formula for height is constant divided by width, we can simply rearrange the formula to find the value of constant.

Thus, the formula would be constant = height x width. We will just multiply the x and y coordinates to get the constant.

Hope it helps!

The probability that Amie will select a large shirt is 0.25 or 25%.

Given information:

USA Spirit T-shirts are available for purchase in a shop.

The shirts are available in red, blue, and white, with sizes ranging from small to medium to large to extra-large.

Amie will choose one shirt at random from the shelf if the shelf includes an equal number of shirts in each color and size combination.

There are three colors and four sizes, so there are a total of 3 x 4 = 12 shirts on the shelf.

Since there are an equal number of shirts of each size and color, there are 12/4 = 3 large shirts.

The probability of selecting a large shirt is the number of large shirts divided by the total number of shirts, which is:

3/12 = 1/4 = 0.25.

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Answer:

3 and 4

Step-by-step explanation:

Answer:

1st and last one just did the question and it was right

Answer:

68b

Step-by-step explanation:

Answer: 93-(18+30)=g

93-48=g

45=g

Step-by-step explanation: yup

The answer is 93-18-30-g=0 or 18+30+g=93

The simplified form of the given expression is x raise to the power of one-thirty.

An expression is any mathematical statement which consists of numbers, variables and an arithmetic operation between them. In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

here, we have,

Simplifying indices expressions

Given the indices expression (x^1/2/(x^1/3)^1/5

Using the indices law below:

a^m/a^n = a^m-n

(a^m)^n

Applying the law above to the given equation

(x^1/2/(x^1/3)^1/5 = (x^1/2-1/3)^1/5

(x^1/2/(x^1/3)^1/5 = (x^1/6)^1/5

(x^1/2/(x^1/3)^1/5 = x^1/30

Hence the simplified form of the given expression is x raise to the power of one-thirty.

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Answer:

Z = a - 2i - 3ib

Step-by-step explanation:

The complex conjugate has the expression with the opposite sign for the imaginary part.

Complex conjugate of Z=a + 2i + 3ib is,

Z = a - 2i - 3ib

Answer: What percentage to save for retirement?

Saving 15% of income per year (including any employer contributions) is an appropriate savings level for many people. Having one to one-and-a-half times your income saved for retirement by age 35 is an attainable target for someone who starts saving at age 25.

Step-by-step explanation: That's the answer I got it right! lol!

227.1 m³

Explanation:

\(\sf \ formula \ of \ volume \ of \ cone \ \ : \dfrac{1}{3} \ \pi \ r^2 \ h\)

\(\sf \hookrightarrow \dfrac{1}{3} \pi (4.4)^2 (11.2)\)

\(\sf \hookrightarrow \dfrac{1}{3} \pi (216.832)\)

\(\sf \hookrightarrow 72.3 \pi \ m^3\)

\(\sf \hookrightarrow 227.066 \ m^3\)

\(\sf \hookrightarrow 227.1 \ m^3\)

Solution:

We know that:

\(Volume \ of \ cone = \pi r^{2} \frac{h}{3} \\\\ Height = 11.2 \ m\\\\ Diameter = 8.8\)

Step-1: Find the radius of the cone.

\(Diameter = 2(Radius) \\\\ 8.8 \ m = 2(Radius) \\\\ \frac{8.8}{2} = \frac{2(Radius)}{2} \\\\ 4.4 \ m = Radius\)

Step-2: Substitute the radius and the height in the formula.

\(Volume \ of \ cone = \pi r^{2} \frac{h}{3} \\\\ Volume \ of \ cone = (3.14)( 4.4^{2})( \frac{11.2}{3})\\\\ Volume\ of \ cone = (3.14)(19.36)( \frac{11.2}{3}) \\\\ Volume \ of \ cone = \frac{680.85}{3} = \bold{226.95 = 227 \ m^{3} \ (Rounded)}\)

Thus, the volume of the cone is about 227 m³.

☁️ Answer ☁️

So I got:

-2.9d + 4.6h - 14

Hope it helps.

Have a nice day hyung/noona!~ ￣▽￣❤️

Answer:

v (m/s) a(m/s2). √. ½. 0. ¼. √. -¼. Movimiento circular y M.A.S. Un punto se mueve ... como la que se ilustra en la figura, llamada onda cuadrada. ... Movimiento Armónico Simple I. Una partícula cuya masa es de 1 g vibra con movimiento ... Multiplicando por el Periodo de oscilación del sistema T (con ... distancia de 10 m?

Step-by-sv (m/s) a(m/s2). √. ½. 0. ¼. √. -¼. Movimiento circular y M.A.S. Un punto se mueve ... como la que se ilustra en la figura, llamada onda cuadrada. ... Movimiento Armónico Simple I. Una partícula cuya masa es de 1 g vibra con movimiento ... Multiplicando por el Periodo de oscilación del sistema T (con ... distancia de 10 m?tep explanation:

Answer:

a) lighter

b) 0.0112 pounds

Step-by-step explanation:

The quadratic equation x² - 4x + 4 = 0 has repeated real roots as the discriminant is zero.

A quadratic equation is an algebraic expression in the form of variables and constants.

A quadratic equation has two roots as its degree is two.

We know the discriminant of a quadratic equation is b² - 4ac.

Given, x² - 4x + 4 = 0.

So, b² - 4ac is,

(4)² - 4×1×4.

16 - 16 = 0.

So, b² - 4ac = 0.

A discriminant of zero indicated the quadratic equation has repeated real roots.

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Answer:

1728

Step-by-step explanation:

Answer:

"If the time taken by the person to get to work is T minutes, the equality that models this situation is   | t - 50 | = 10 the minimum time taken by the person to get to work is 40 min, the maximum time taken is 60 min.

Step-by-step explanation:

The difference between the time and 50 minutes is 10 minutes.

This can be expressed as:

The minimum and maximum time can be found by solving the equation above:

The blanks to be filled in as:

Answer:

6x2-10x-4

Step-by-step explanation:

hx=(2x-4)(3x+1)

hx=2x(3x+1)-4(3x+1)

hx=6x2+2x-12x-4

hx=6x2-10x-4

Rounded to the nearest dollar, the average daily balance of the credit card for the August 1 through August 31 billing period is $74.

To find the average daily balance of the credit card for the August 1 through August 31 billing period, we need to calculate the sum of the daily balances and divide it by the number of days in the billing period.

Let's calculate the daily balances for each day:

Day 1: Closing Balance = $850

Day 8: Closing Balance = $300

Day 16: Closing Balance = $500

Day 24: Closing Balance = $650

To calculate the daily balances, we need to consider the activities that occurred on each day.

On Day 1, there was no activity recorded, so the closing balance remains at $850.

On Day 8, a payment of $550 was made. Therefore, the closing balance is $850 - $550 = $300.

On Day 16, a purchase of $200 was made. Therefore, the closing balance is $300 + $200 = $500.

On Day 24, a purchase of $150 was made and an adjustment of $4 was applied. Therefore, the closing balance is $500 + $150 - $4 = $650.

Now, let's calculate the average daily balance:

Sum of daily balances = $850 + $300 + $500 + $650 = $2300

Number of days in the billing period = 31

Average daily balance = Sum of daily balances / Number of days = $2300 / 31 ≈ $74.19

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Answer and Step-by-step explanation:

To find out how many more yards of red fabric Reuben used, we need to subtract the amount of yellow fabric from the amount of red fabric. Since the two fractions have different denominators, we need to find a common denominator before subtracting them. The least common multiple of 8 and 4 is 8, so we can rewrite both fractions with a denominator of 8:

7/8 - 1/4 = 7/8 - (1/4) * (2/2) = 7/8 - 2/8 = (7 - 2)/8 = 5/8

So, Reuben used 5/8 yards more red fabric than yellow fabric.

The area of a rectangle with a width of 5.1 cm and a height of 11.2 cm is 57.12 cm².

To find the area of a rectangle, we multiply its length by its width. In this case, the width is given as 5.1 cm and the height (or length) is given as 11.2 cm.

Area = length × width

Area = 11.2 cm × 5.1 cm

Calculating the product, we get:

Area = 57.12 cm²

Therefore, the area of the rectangle is 57.12 cm².

The correct answer is: 57.12 cm².

It is important to note that when calculating the area of a rectangle, we should always include the appropriate unit of measurement (in this case, cm²) to indicate that we are dealing with a two-dimensional measurement. The area represents the amount of space covered by the rectangle's surface.

So, the area of a rectangle with a width of 5.1 cm and a height of 11.2 cm is 57.12 cm².

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Answer:

difference - subtraction

sum - addition

of - multiplication

per - division

decreased by - subtract

together - addition

quotient - division

product - multiplication

Answer:

15.77

Step-by-step explanation:

Jonathan’s answer is reasonable because 2 times 8 is 16, and 16 is close to 15.77.

Answer:

(2, 1)

Step-by-step explanation:

To solve by substitution, we solve one equation for one of its variables and then substitute the solved value for that variable into the other equation. Because this system of equations already has one solved for the variable, this makes our job much easier. We only need to implement the solved value for y into the other equation and solve for x.

y = 6x - 11

-2x - 3(6x - 11) = -7 Distribute.

-2x - 18x + 33 = -7 Combine like terms.

-20x + 33 = -7 Subtract 33 from both sides of the equation.

-20x = -40 Divide by -20 on both sides of the equation.

x = 2

Then, with this value, we will place it into the equation that was already solved for y in order to get a definite value for y.

y = 6(2) - 11

y = 12 - 11

y = 1

Using this information, the coordinate pair for this equation (the point of intersection between the two lines) is (2, 1).

The solution set of f(x) > 0 is x ∈ (-2, 8).

To find the solution set of f(x) > 0, we need to first determine the critical values of x where f(x) changes sign.

Let's start by finding the domain of the function:

x² - 6x - 16 ≠ 0

We can solve for x by using the quadratic formula:

x = [6 ± √(6² + 4(16))]/2 = [6 ± √52]/2 = 3 ± √13

So the domain of f(x) is (-∞, 3 - √13) U (3 + √13, ∞).

Now let's factor the numerator and denominator of f(x):

f(x) = (x + 10)/[(x - 8)(x + 2)]

The critical points occur where the numerator or denominator of f(x) changes sign.

The numerator changes sign at x = -10, and the denominator changes sign at x = -2 and x = 8.

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