What’s the measure of the other angle?

The meeting point is (1, - 1).

Look at the attachment to see.

Happy to help!

Answer:

$81.25

hope it will help

Question: In a sale, the price of a book is reduced by 25%. The price of the book in the sale is £12. Work out the original price of the book

Answer: £16

Step-by-step explanation:

To determine the original price of the book, we can use the fact that the sale price is 75% (100% - 25%) of the original price. Let's denote the original price as x.

75% of x = £12

To solve for x, we can set up the equation:

0.75x = £12

To isolate x, we divide both sides of the equation by 0.75:

x = £12 / 0.75

x = £16

Therefore, the original price of the book was £16.

Given the equation:

-39 = 4w + 7(w-3)

Let's solve the equation for w.

To solve take the following steps.

• Step 1.

Apply distributive property

• Step 2.

Combine like terms

• Step 3.

Add 21 to both sides

Step 4.

Divide both sides by 11

ANSWER:

w = -1.63

Answer:

Add the area of the rectangle with the semicircle.

10x4 + 0.5(3.14)(25)

40+39.25

79.25

So the answer is C. 79.

Let me know if this helps!

The average speed during the interval between 1 second and 2 seconds is most nearly 8 m/s, which corresponds to option (E).

To determine the average speed during the interval between 1 second and 2 seconds, we need to find the displacement of the object during that time interval and divide it by the duration.

Looking at the graph, we can observe that the object's position increases from approximately 0 meters at 1 second to approximately 8 meters at 2 seconds.

Therefore, the displacement is 8 meters - 0 meters = 8 meters.

The duration of the time interval is 2 seconds - 1 second = 1 second.

To calculate the average speed, we divide the displacement by the duration:

Average speed = Displacement / Duration = 8 meters / 1 second = 8 m/s.

Therefore, the average speed during the interval between 1 second and 2 seconds is most nearly 8 m/s, which corresponds to option (E).

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Step-by-step explanation:

c

The number of ways the letters of the word DANCER can be arranged if D and A remain together is 120 ways .

In the question ,

it is given that the word is DANGER ,

the number of letters in the given word is = 6

it is given that the letters D and A are together ,

that means they are a single unit ,

So , the number of letters become = 5 letters

and  5 letters can be arranged in 5! ways ,

which can be simplified  as

5! \(=\) 5 * 4 * 3 * 2 * 1 \(=\) 120 ways

Therefore , the number of ways of arrangement is 120 ways .

The given question is incomplete , the complete question is

How many ways can the letters of the word DANCER be arranged in a row if D and A must remain together (in order) as a unit ?

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Answer:

12 Cups if Cheese

Step-by-step explanation:

Answer:

The answer would be (3,0).

Answer:

Point of origin 'POI' =(3,0)

Step-by-step explanation:

(i)check both equations.The coefficient of x and y should be the same .And then eliminate .If the coefficient are different then multiply by a constant.

(ii)subtract the term either from x and y to make it equal to zero.

(iii)substitute y value to one of the equation.

Answer:  10

Step-by-step explanation:

20% is 10% of 50 % because you /   100 in half and 20 in half and it's the same thing the answer is 10, my guy.

Answer:

Option D: 1 is the correct answer.

Step-by-step explanation:

Given that:

n(x) = 7x+4        

n(x) = 11

Putting n(x) = 11 in first function.

11 = 7x + 4

Now, we will subtract 4 from both sides

11 - 4 = 7x + 4 - 4

7 = 7x

7x = 7

Dividing both sides by 7

\(\frac{7x}{7}=\frac{7}{7}\)

x = 1

Hence,

Option D: 1 is the correct answer.

Answer:

-2

Step-by-step explanation:

4y - 7 = - 15

4y = -15 + 7

4y = -8

y = - 8 / 4

y = - 2

The volume of the largest right circular cylinder (in cubic units) that fits in a sphere of radius 4 units is 154.7 cubic units.

First, draw a diagram. The diagram shows the cylinder inscribed in the sphere. Given that in the diagram the height, h, we can find the radius of the cylinder in terms of r using the Pythagorean Theorem.

h represents half of the total height of the cylinder. choose h instead of h² to simplify things better.

To find the volume of the cylinder, we need to multiply the area of the top by the total height of the cylinder. In other words;

V = π(radius of cylinder)²(height of cylinder)

V = π(√r²−h²)²(2h)

V = 2πh(r²−h²)

V = 2π(r²h−h³)

d/dxV(h) = 2π(r²−3h²) = 0

The 2π divides out and we are left with;

r²−3h² = 0

After some rearranging;

h² = r²/3

Take the square root of both sides.

h = r/√3

To find the volume, we need to put this into the volume equation.

V = 2πh(r²−h²) = 2π(r/√3){r²−(r/√3)²}

V = (2πr/√3)(r²−r²/3)

V = (2πr/√3){(3r²−r²)/3}

V = (2πr/√3)(2r²/3)

V = 4πr³/3√3

V = 4√3πr³/9

Now, put the value of r in the above equation, and we get

V = 4√3π(4)³/9

V = 256√3π/9

V = 154.7 cubic units

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Answer:to dig 8 hectares in 12 days, we would require 30 men.

To find out how many men are required to dig 8 hectares of land in 12 days, we can use the concept of man-days.

We know that 18 men can dig 6 hectares of land in 15 days. This means that each man can dig \(\(6 \, \text{hectares} / 18 \, \text{men} = 1/3\)\)  hectare in 15 days.

Now, we need to determine how many hectares each man can dig in 12 days. We can set up a proportion:

\(\[\frac{1/3 \, \text{hectare}}{15 \, \text{days}} = \frac{x \, \text{hectare}}{12 \, \text{days}}\]\)

Cross multiplying, we get:

\(\[12 \, \text{days} \times 1/3 \, \text{hectare} = 15 \, \text{days} \times x \, \text{hectare}\]\)

\(\[4 \, \text{hectares} = 15x\]\)

Dividing both sides by 15, we find:

\(\[x = \frac{4 \, \text{hectares}}{15}\]\)

So, each man can dig \(\(4/15\)\)  hectare in 12 days.

Now, we need to find out how many men are required to dig 8 hectares. If each man can dig  \(\(4/15\)\) hectare, then we can set up another proportion:

\(\[\frac{4/15 \, \text{hectare}}{1 \, \text{man}} = \frac{8 \, \text{hectares}}{y \, \text{men}}\]\)

Cross multiplying, we get:

\(\[y \, \text{men} = 1 \, \text{man} \times \frac{8 \, \text{hectares}}{4/15 \, \text{hectare}}\]\)

Simplifying, we find:

\(\[y \, \text{men} = \frac{8 \times 15}{4}\]\)

\(\[y \, \text{men} = 30\]\)

Therefore, we need 30 men to dig 8 hectares of land in 12 days.

In conclusion, to dig 8 hectares in 12 days, we would require 30 men.

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It would require 30 men to dig 8 hectares of land in 12 days.

To find how many men are required to dig 8 hectares of land in 12 days, we can use the concept of man-days.

First, let's calculate the number of man-days required to dig 6 hectares in 15 days. We know that 18 men can complete this task in 15 days. So, the total number of man-days required can be found by multiplying the number of men by the number of days:
\(Number of man-days = 18 men * 15 days = 270 man-days\)

Now, let's calculate the number of man-days required to dig 8 hectares in 12 days. We can use the concept of man-days to find this value. Let's assume the number of men required is 'x':

\(Number of man-days = x men * 12 days\)

Since the amount of work to be done is directly proportional to the number of man-days, we can set up a proportion:
\(270 man-days / 6 hectares = x men * 12 days / 8 hectares\)

Now, let's solve for 'x':

\(270 man-days / 6 hectares = x men * 12 days / 8 hectares\)

Cross-multiplying gives us:
\(270 * 8 = 6 * 12 * x2160 = 72x\)

Dividing both sides by 72 gives us:

x = 30

Therefore, it would require 30 men to dig 8 hectares of land in 12 days.

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The male long jumper's jump, which ranked in the 75th percentile, was approximately 272.436 inches long.

To find the length of the male long jumper's jump at the 75th percentile, we can use the concept of z-scores and the standard normal distribution.

The 75th percentile corresponds to a z-score of 0.674. Using this z-score, we can calculate the distance of the jump by multiplying it by the standard deviation and adding it to the mean:

Distance = (z-score * standard deviation) + mean

Distance = (0.674 * 14) + 263

Distance ≈ 9.436 + 263

Distance ≈ 272.436

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Answer:

339.42m

Step-by-step explanation:

Circumference of a circle=2x22/7x54

=339.42m

Answer:

circumference of circle = 2πr

radius = 54 m

circumference= 2 * 22/7 * 54

= 339.427 m

Answer:

parallelogram

hexagon  

octagon

rectangle

Step-by-step explanation:

Answer:

parallelogram

hexagon  

octagon

rectangle

Answer:

Arc KL \(=23\)

Arc OM \(=113\)

Step-by-step explanation:

We know that Angle NPM is equal to 90 degrees.

Therefore, Angle KPM is also equal to 90 degrees.

We are told that Arc LM is equal to 67.

Thus, the measure for Arc KL is equal to \(90-67=23\)

We also know that Angle OPN is equal to Angle KPL.

Therefore, the measure of Arc ON\(=23\)

Using that information, we know that Arc OM is equal to \(90+23=113\)

Hope I helped!

The break-even point is 1100 products sold. This means that if the store can sell 1100 products, it will be able to cover its costs and make a profit.

What is average ?

The average is a measure of central tendency that is calculated by adding a set of values together and dividing the sum by the number of values. It is also known as the arithmetic mean. It is a way to represent a typical value of a dataset.

The break-even point is the point at which the cost of the products equals the revenue from the sales of the products. To find the break-even point, we need to set the cost function (C(x) = 550 + 3.00x) equal to the revenue function (R(x) = 5.50x) and solve for x.

C(x) = 550 + 3.00x = R(x) = 5.50x

3.00x = 5.50x - 550

0.50x = 550

x = 1100

So the break-even point is 1100 products sold. This means that if the store can sell 1100 products, it will be able to cover its costs and make a profit.

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Answer:

he gave away 96 but depends how many friends he gave them to.

Step-by-step explanation:

The system of equations 4x + 3y = - 2 and 8x + 6y = - 4 coincide and have an infinite number of solutions.

We know two simultaneous equations have a unique solution when they intersect at a point,

when they are parallel they have no solution and when they are coinciding they have an infinite no. of solutions.

Given, A system of equations,

4x + 3y = - 2 and 6y = - 4 - 8x.

Rearranging the equations,

4x + 3y = - 2 and 8x + 6y = - 4.

Now, The second equation is a multiple of the first as,

2(4x + 3y) = 2(-2).

Therefore, The system of equations 4x + 3y = - 2 and 8x + 6y = - 4 these two lines coincide and they have an infinite number of solutions as each point of one line lies to another.

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Answer:

3(x + 6)/18

= x + 6 /6

Step-by-step explanation:

hope this helps you

Answer:

600

Step-by-step explanation: 75 percent of 600 equals 450.

Answer:

In a cube, the length and width are the same, so both sides will be 7 cm, yielding an area of 49 square centimeters.

Step-by-step explanation:

Answer:

Cube's features;

Given this information, we must find the area of one side and multiply that area by 6 since there are 6 equal sides of the same area.

Formula for area of square:-

A = a^2

or

A = a · a

Where 'a' represents the length of one side.

Plug in values;

A = a^2

A = 7^2

A = 49 centimetres is the area of one side.

Now we find the areas of all sides (6 sides in total);

49(6)

= 294 is the surface area of the cube.

The total arc length of the curve on 0 ≤ t ≤ 1 is given by the integral ∫[0 to 1] √[9t⁴/4 + 25] dt.

To find the equation of the tangent line to the curve at t = 1, we need to compute the derivatives dx/dt and dy/dt. Taking the derivatives of the given parameterization, we have dx/dt = 3t^(1/2) and dy/dt = 5. Evaluating these derivatives at t = 1, we find dx/dt = 3 and dy/dt = 5.

The slope of the tangent line at t = 1 is given by the ratio dy/dt over dx/dt, which is 5/3. Using the point-slope form of a line, where the slope is m and a point (x₁, y₁) is known, we can write the equation of the tangent line as y - y₁ = m(x - x₁). Plugging in the values y₁ = 5(1) = 5 and m = 5/3, we obtain the equation of the tangent line as y - 5 = (5/3)(x - 1), which can be simplified to 3y - 15 = 5x - 5.

To compute the total arc length of the curve for 0 ≤ t ≤ 1, we use the formula for arc length: L = ∫(a to b) √(dx/dt)² + (dy/dt)² dt. Plugging in the derivatives dx/dt = 3t^(1/2) and dy/dt = 5, we have L = ∫(0 to 1) √(9t)² + 5² dt. Simplifying the integrand, we get L = ∫(0 to 1) √(81t² + 25) dt.

To evaluate this integral, we need to find the antiderivative of √(81t² + 25). This can be done by using appropriate substitution techniques or integration methods. Once the antiderivative is found, we can evaluate it from 0 to 1 to obtain the total arc length of the curve.

Note: Without further information about the specific form of the antiderivative or additional integration techniques, it is not possible to provide a numerical value for the total arc length. The exact computation of the integral depends on the specific form of the function inside the square root.

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Answer: Company C

Step-by-step explanation:

A: $150

B: $160

C: $140

D: $170

So Company C has the best rate.

Considering that a sundae cone costs $5 and a raspberry ripple cone $7, the inequality is:

\(5x + 7y \leq 450\)

The total price can be no more than $450, hence:

\(T \leq 450\)

To find the total price, we need the price of each a sundae cone and a raspberry ripple cone, which are not given. Hence, considering that a sundae cone costs $5 and a raspberry ripple cone $7, the total price is given by:

T = 5x + 7y

Hence, the inequality is:

\(5x + 7y \leq 450\)

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