A rectangle has a height of 1 1/4 inches and a base of 5/6 inches. What is the area of the rectangle?

Answer:

-5/12

Step-by-step explanation:

2 1/6 -(-1 3/4) =

-13/6 - (-7/4) =

-5/12

-5/12

Step-by-step explanation:

Step 1: Eliminating a negative and changing our operation

−2 1/6 + 1 3/4

Step 2: Rewriting our equation with parts separated

-2 − 1/6 + 1 + 3/4

Step 3: Solving the whole number parts

−2 + 1 = −1

Step 4: Solving the fraction parts

−1/6 + 3/4 = ?

Step 5: Find the LCD of 1/6 and 3/4 and rewrite to solve with the equivalent fractions.

LCD = 12

−2/12 + 9/12 = 7/12

Step 6: Combining the whole and fraction parts

−1 + 7/12 = −5/12

Based on the given options, the diagram that best represents the activity of a sales clerk manually preparing a sale receipt during a power outage would be option D.

A trapezoid could represent the shape of a receipt, a curved side rectangle could represent the shape of the clerk's desk or the paper she is using, and a circle could represent the shape of a calculator or cash register. Therefore, a trapezoid to a curved side rectangle to a circle could represent the process of the clerk manually calculating and recording the sale amount and inputting it into a calculator or cash register to produce a receipt.

It is important to note that during a power outage, technology-dependent activities such as electronic sales and transactions may be disrupted, and manual methods may have to be used as a backup. This highlights the power of technology in our daily lives and the impact that power outages can have on businesses and individuals.
The question is about selecting the correct diagram that represents the sales clerk manually preparing a sale receipt due to a power outage. Given the options:

a. trapezoid to curvy side rectangle to curved rectangle
b. curved side rectangle to circle to curved rectangle
c. circle to curved side rectangle to curved rectangle
d. trapezoid to curved side rectangle to circle

The appropriate answer for this question cannot be determined based on the provided information. Diagrams typically require visual representation, and the description of the shapes alone is insufficient to convey the activity of preparing a receipt manually. Moreover, the terms "power," "outage," "clerk," "receipt," "trapezoid," "curved," and "curved" don't necessarily correspond to the shapes given in the options.

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Answer:

I believe its -82

Step-by-step explanation:

5 × -8 + 7 × -3 = -82

Answer:

AB =√( (13 - 5)² + (13-12)²) = √(8² + 1²) = √65

BC = √( (13 - 11)² + (13-5)²) = √(2² + 8²) = √68

AC =√( (11 - 5)² + (5-12)²) = √(6² + 7²) = √85

AB ≠ BC ≠ AC ∴ ABC is Scalene

Step-by-step explanation:

A scalene triangle is a triangle in which all the sides are different lengths.

In order to prove that ABC is scalene, we need to calculate the sidelengths and show them to be different.

The line between points A(x₁, y₁) and B(x₂, y₂) can be denoted AB.

the difference in x-coordinate is x₂ - x₁, and the difference in y-coordinates is y₂ - y₁.

this forms a triangle of length x₂ - x₁ and height y₂ - y₁ and the hypotenuse AB can be calculated using pythagoras' theorem:

AB = √((x₂ - x₁)² +(y₂ - y₁)²)

The triangle ABC with vertices A(5, 12) B(13, 13) and C (11,5) is a scalene triangle.

A triangle is a three-sided polygon that consists of three edges and three vertices.

The given three vertices of triangle ABC are A(5, 12) B(13, 13) and C (11,5).

We know that in a scalene triangle all the three sides lengths are different.

Let us find distance of AB,BC, CA

Distance=√(x₂-x₁)²+(y₂-y₁)²

A(5,12), B(13, 13)

AB=√(13-5)²+(13-12)²

=√8²+1²=√64+1=√65

B(13, 13) C (11,5).

BC=√(11-13)²+(5-13)²

=√4+64=√68

C (11,5).A(5,12),

CA=√(5-11)²+(12-5)²

=√(-6)²+(7)²

=√36+49=√85

The lengths of triangle ABC are different so the triangle is Scalene.

Hence the triangle ABC with vertices A(5, 12) B(13, 13) and C (11,5) is a scalene triangle.

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Answer:

D

Step-by-step explanation:

She only cut the 15% extra and no the other 75%

Chloe cut enough fabric because she cut enough fabric for the skirt and the amount of extra fabric. The correct option is B.

The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.

Given that The directions on a sewing pattern say to cut an extra 15% of fabric to account for errors. Chloe needs 0.75 yards of fabric to make a skirt, and she cuts 0.1125 yards.

Calculate the percentage of the fabric from the given data,

Percentage = 0.1125 / 0.75

Percentage = 0.15 x 100

Percentage = 15%

Chloe cut enough fabric because she cut enough fabric for the skirt and the amount of extra fabric.

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Answer:

the answer is 2x-y=-11

Step-by-step explanation:

Answer:

y=-11   x=2

Step-by-step explanation:

I hope this is what you're looking for if not I can give another answer.

Triangle KVM is similar to triangle BVG because angle M = angle G = 90° and angle V is common to both triangles.

Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio.

For two triangles to be similar, the corresponding angles must be congruent i.e equal.. Also the ratio of the corresponding sides of similar triangles are equal.

angle M and G are both 90° , this means they are equal.

angle KVM = BVG

therefore angle K = angle B

Since all the corresponding angles are equal, we can say triangle KVM is similar to triangle BVG

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Answer:

78/100 or if simplified 39/50

Step-by-step explanation:

Add together the 70 cents and 8 pennies to get 78 cents. One dollar is 100 cents so you automatically get the fraction 78/100 and you can simplify by dividing it by 2 in order to get 39/50.

Answer:

y^6 z^12

Step-by-step explanation:

When the bases are the same that means that the powers on the inside can be multiplied by whatever is outside.

Hope this helps :)

The dimensions of the rectangle of largest area are Length along AB: x = L / 2, Length along AD: y = L / 2y, The rectangle is a square, with each side equal to L / 2.

To solve this optimization problem, let's consider the equilateral triangle and the inscribed rectangle within it.

Let the equilateral triangle have a side length L. We will find the dimensions of the rectangle that maximize its area while satisfying the given conditions.

Consider the following diagram:

   B ____________________ C

     /                    \

    /                      \

   /________________________\

  A             D             E

A, B, C represent the vertices of the equilateral triangle, with AB as the base.

D and E represent the midpoints of AB and BC, respectively.

Let the dimensions of the rectangle be x (length along AB) and y (length along AD).

We can observe that the height of the rectangle (distance from D to CE) will be equal to the height of the equilateral triangle (AC).

The height of an equilateral triangle with side length L can be calculated using the formula:

h = (sqrt(3) / 2) * L

Now, we can express the area of the rectangle in terms of x and y:

Area = x * y

Since we want to maximize the area, we need to find the optimal values of x and y.

To relate x and y, we can use similar triangles. Triangle AED is similar to triangle ABC, and we have:

AD / AB = DE / BC

y / L = (L - x) / L

Simplifying this equation, we get:

y = (L - x)

Now, we can express the area of the rectangle solely in terms of x:

Area = x * (L - x)

To find the maximum area, we can take the derivative of the area function with respect to x, set it equal to zero, and solve for x.

d(Area) / dx = 0

Differentiating the area function, we get:

(Area) / dx = L - 2x

Setting it equal to zero:

L - 2x = 0

2x = L

x = L / 2

Substituting this value of x back into the equation for y, we get:

y = L - (L / 2) = L / 2

Therefore, the dimensions of the rectangle of largest area are:

Length along AB: x = L / 2

Length along AD: y = L / 2y

The rectangle is a square, with each side equal to L / 2.

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The median of the given set of science test scores is 73. Therefore, none of the options provided (A. 68, B. 88, C. 78, D. 58) matches the calculated median of 73.

To determine the median of the given set of science test scores, we need to first arrange the scores in ascending order: 58, 68, 78, 88. The median is the middle value in a dataset when it is sorted in ascending order.

In this case, we have an even number of scores, so we need to find the average of the two middle values. The middle values are 68 and 78. To find the average, we add the two numbers and divide by 2: (68 + 78) / 2 = 146 / 2 = 73.

It seems there may be an error either in the options or in the given set of scores. It's essential to verify the information provided to ensure accurate results.

If the set of scores or the options are incorrect, it may be necessary to obtain the correct information or consult the relevant source to find the accurate median of the science test scores.

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Answer:

Y = - 6/5 + 5

Step-by-step explanation:

Go to the point (5,-1) on a graph and use the slope to find the y-intercept (5 to the left, then 6 up)

Answer: There are two real roots

Step-by-step explanation: Terms in this set (6) If the discriminant of a quadratic equation is 4, which statement describes the roots? B. There are two real roots.

As of discriminant of the quadratic equation is 4, then we find that there two real and distinct roots.

In a quadratic equation, the discriminant of the quadratic formula indicates the nature of the two roots of the polynomial. Main characteristics are described below:

According to the statement, the discriminant of the quadratic equation is 4, then we find that there two real and distinct roots.

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The slope of the graph of y=f(x) at the designated point (1,3) is 2. This can be found by evaluating the derivative of f at x=1, which is the slope of the line tangent to the graph of y=f(x) at x=1.

The derivative of f is f' (x)=6x−2.  Therefore, f'(1)=6(1)−2= 2. The slope of the tangent line to the graph of y=f(x) at x=1 is f'(1)  

In general, the slope of the graph of y=f(x) at the point (a,b) is f'(a). This is because the slope of the tangent line to the graph of y=f(x) at x=a is f'(a).

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Answer:

Option a

Step-by-step explanation:

Assign a value to variable x =t

Eq becomes

-4t+y=-2

y=4t-2

Answer:

It would be at the beginning of the trials

Step-by-step explanation:

The slope of the given points are  (29, 11) and (-3, -7):

= 0.5625.

A line's slope indicates whether sharp it is.. The slope is defined mathematically as "climb overrun" (change in y divided by change in x).

In general, a line's slope indicates its steepness as well as direction. The slope of a straight line connecting two points (x1,y1) and (x2,y2) can be simply calculated by subtracting the coordinates of both the points. The slope is commonly denoted by the letter'm.'

X₁ = 29

Y₁ = 11
X₂ =  -3
Y₂ = -7

The slope is the degree of tilt a line has and it may be positive, negative, zero, or undefined.

slope = (y₂ - y₁) / (x₂ - x₁)

Substituting the value in the given formula:

slope  =  \(\frac{(-7 - 11)}{(-3 - 29)}\)

          = -18 / -32

          = -9 / -16

          = 0.5625

The slope of the given points are  (29, 11) and (-3, -7) = 0.5625.

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The number of solutions which this system of linear equations represented in the graph have is: C. Infinitely many solutions.

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical expression:

y - y₁ = m(x - x₁)

Where:

First of all, we would determine the slope of this line;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (-1 + 2)/(2 - 0)

Slope (m) = 1/2

At data point (0, -2) and a slope of 1/2, a linear equation for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y + 2 = 1/2(x - 0)  

y = 1/2(x) - 2

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Let me = the minutes we are searching for.

(-2.5)/11_1/4 = 1/m

Rewrite 11_1/4 as 45/4.

(-2 5)/(45/4) = 1/m

Cross-multiply to find m.

45/4 = -2.5m

Divide both sides by -2.5.

45/4 ÷ -2.5 = m

Use your calculator and good luck.

Answer:

3x=45°

6x=90°

Step-by-step explanation:

As the sum of angle measures is 180° , to find the x

First, you create an equation that looks like,

\(180 = 45+3x+6x\)

which can be written as

\(180=45+9x\)

since both 3x and 6x have the same variable. Then you subtract 45 from both sides of the equation

\(180-45=9x\)

(+45 on the right side can be cancelled by -45, so there is none left)

\(135=9x\)

Now, you can divide both sides by 9

\(\frac{135}{9} = x\)

So you must have an answer of x = 15°

Similar to ratios, 3:6 each part is 15°, now you have to multiply 3 to 15 and 6 to 15 to see how they separate the angles of 135°.

3×15= 45

6×15=90

To check them add 45, 90 and 45 to see if it adds up to 180. The answer is at the top and if my explanation is wrong please tell me, Thanks

The probability that the second traffic light is red, given that the first light is red is approximately 0.729 or 72.9%.

To find the probability that the second light is red, given that the first light is red, we can use the concept of conditional probability. The conditional probability of an event B happening, given that event A has already occurred, is denoted as P(B|A).

In this scenario, event A represents the first traffic light being red, and event B represents the second traffic light being red. We are given that the probability of event A, P(A), is 0.48, and the probability of both events A and B occurring, P(A and B), is 0.35.

The formula to calculate conditional probability is:

P(B|A) = P(A and B) / P(A)

Plugging in the values we have, P(B|A) = 0.35 / 0.48.

Dividing 0.35 by 0.48, we find that the probability of the second traffic light being red, given that the first light is red, is approximately 0.729.

Therefore, the probability that the second light is red, given that the first light is red, is approximately 0.729 or 72.9%.

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Answer:

d Because I just took the test and got it right

Answer: 24$

Step-by-step explanation: First, you need to do 3/5*60 which is  36$.

Then you need to find 2/3 of 36$ which is 24$. So Brittany now has 24$ after going to the movies. I hope this helps you!

Using Newton's method, we can find all solutions of the equation cos(2x) = x^3 correct to six decimal places. The solutions are [-1.154601, -0.148335, 0.504165, 1.150371].

Newton's method is an iterative numerical method used to approximate the roots of a function. To find the solutions of the equation cos(2x) = x^3, we can rewrite it as cos(2x) - x^3 = 0. We start by making an initial guess for the solution, let's say x₀. Then, we use the iterative formula xᵢ₊₁ = xᵢ - f(xᵢ)/f'(xᵢ), where f(x) = cos(2x) - x^3 and f'(x) is the derivative of f(x).

We repeat this process until we reach a desired level of accuracy. For each iteration, we substitute the current value of x into the formula to obtain a new approximation. By iterating this process, we converge towards the actual solutions of the equation. Applying Newton's method to cos(2x) - x^3 = 0, we find the solutions to be approximately -1.154601, -0.148335, 0.504165, and 1.150371. These values represent the approximate values of x for which the equation is satisfied up to six decimal places.

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Answer:

36 cm

Step-by-step explanation:

the total length of the lines that pat draws on the second piece of paper is 36 cm.

1.644 gml⁻¹ is is the new volume of the water .

What is density, ?

density = mass/volume

     ρ  = 12.5/7.6

      ρ = 1.644 gml⁻¹

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