The label of a can represents the lateral surface area of a cylinder. what is the lateral surface area of a can of beans with a diameter of 7 cm and a height of 11 cm?

Answer:

m∠3 = 112°     m∠5 = 38°     m∠6 = 68°    m∠8 = 74°

You do the others

Step-by-step explanation:

Facts you need to solve this problem.

1.  Vertical angles are congruent

2.  Alternate interior angles are congruent when lines are parallel

3.  Sum of the measures of the angles of a triangle is 180

4.  Adjacent angles are supplementary when two lines intersect

m∠3 = 112°   (Reason 1 above)

m∠6 = 180 - 112 = 68°   (Reason 4)

m∠6 + m∠5 + 74 = 180°  (Reason 3)

68 + m∠5 + 74 = 180

142 + m∠5 = 180

m∠5 = 38°

m∠8 = 74°  (Reason 2)

That gives you a start, so I will let you find all the others.  OK?  I know you don't want to do that, but you need to be able to do this type of problem.  Now, go for it!!

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.

The Area of triangle with the given height 10 cm and base 6 cm is calculated to be  30 square centimeters.

To calculate the area of a triangle with height 10 cm and base 6 cm, we can use the formula:

Area = (1/2) x Base x Height

Substituting the given values, we get:

Area = (1/2) x 6 cm x 10 cm

Area = 30 square cm

Therefore, the area of the triangle is 30 square centimeters.

We can see that the area of the triangle is calculated by multiplying the base and height and then dividing the result by 2. In this case, the height of the triangle is 10 cm and the base is 6 cm, so the area is 30 square cm. This formula can be used to calculate the area of any triangle, regardless of its size or shape.

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The complete question is :

Calculate the Area of triangle with the height 10 cm and base 6 cm .

Answer:

You can use Protector' but dint have use this method:

Acute. Draw a vertical line connecting the 2 rays of the angle. To determine the number of degrees in an acute angle, connect the 2 rays to form a triangle. Line up the short end of your ruler with the bottom ray, then draw a vertical line intersecting the other ray using the long side of your ruler.

Answer:

Step-by-step explanation:

The number of plants Ethan has are 5.

Two or more expressions with an Equal sign is called as Equation.

Let x be the number of plants Ethan has.

Ethan uses 3.5 ounces of water for each plant, so he will use a total of 3.5p ounces of water.

If he starts with 32 ounces of water and ends up with 14.5 ounces

Total of 32 - 14.5 = 17.5 ounces of water.

As given the amount of water used is equal to the amount of water per plant times the number of plants:

3.5x = 17.5

Divide both sides by 3.5

x=5

Hence, , Ethan has 5 plants.

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Answer:

A = 131.145 cm^2

Step-by-step explanation:

For this problem, we can see that this is an isosceles triangle.  This can be observed from two equal lengths.  Using this, let's apply the formula for the area of a triangle.

A = ( 1/2 ) * b * h

Note, we can say the base, b, is equal to 14 cm.  We simply need to find the height.  Using the idea of splitting the triangle into two right triangles, we can say the following based on the pythagorean theorem:

20^2 = (14 / 2)^2 + h^2

400 = 49 + h^2

400 - 49 = h^2

351 = h^2

18.735 = h

A = ( 1/2 ) * 14cm * 18.735cm

A = 131.145 cm^2

Hence, we have found the area of the triangle.

Cheers.

Answer:

4.5

Step-by-step explanation:

It is the closest answer. Trust Me.

Volume of beach ball or the amount of air will the beach ball hold is 2304π in³.

Formula

Volume of Sphere is 4/3πr³

The volume, V, of a sphere with radius r is  4/3πr³

By employing a technique that roughly represents the surface area of a sphere using square pyramids, it is possible to obtain the formula for the volume of a sphere using the formula for its surface area, which is 4πr^2.

Where r is the radius of the sphere .

As given

12 inches is the radius of a beach ball.

r = 12 in

Substitute the r in above volume equation,

V =4/3πr³

V=4/3π(12)³

V= 2304π in³

Therefore, the amount of air will the beach ball hold is 2304π in³.

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The total number of books sold over the first six months is given as follows:

128,854 books.

A geometric sequence is a sequence of numbers where each term is obtained by multiplying the previous term by a fixed number called the common ratio q.

The explicit formula of the sequence is given as follows:

\(a_n = a_1q^{n-1}\)

In which \(a_1\) is the first term.

The first term and the common ratio for this problem are given as follows:

\(a_1 = 27500, q = 0.9\)

(q = 0.9 as the decrease of 10% means that the amount decreases by 10% each month, hence it is 90% of the previous month).

The sum of the first n terms of a geometric sequence is given as follows:

\(S = a_1\frac{1 - q^n}{1 - q}\)

Hence, for the first six months, the sum is given as follows:

\(S = 27,500\frac{1 - 0.9^6}{1 - 0.9}\)

S = 128,854 books.

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The Answer is gonna be B. 324 square centimeters

Explanation :

A=b x h

A=27 x 12

A=324

This is the Answer for your question :3

Answer:

5 + 2x = 5x + 4

-2x             -2x

5 = 3x + 4

-4          -4

1 = 3x

Divide by 3 on both sides.

1/3 = x

The target costing process is a cost management technique used to determine the maximum cost that a company can incur while still earning a desired profit margin. It involves setting a target cost for a product or service and then working backwards to identify the cost of materials, labor, and overhead that will enable the company to achieve that target.

While finding a low-cost supplier is certainly one way to reduce the overall cost of production, it is not necessarily the starting point of the target costing process. Before selecting a supplier, a company must first understand its customers' needs and preferences, identify the features and benefits that will add value to the product or service, and determine the price that customers are willing to pay.

Once these factors are established, the company can then analyze the cost structure of the product or service and identify areas where costs can be reduced without sacrificing quality or customer satisfaction. This may involve exploring alternative materials or production methods, streamlining processes, or outsourcing certain tasks to lower-cost providers.

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Answer:

Lo siento, no puedo ayudarte, ya es debido

Answer:

initial amount is 130

decaying at 55%

Step-by-step explanation:

Answer:

\(2p^2\)

Step-by-step explanation:

Step 1: Apply the exponentiation property:

\((8p^6)^\frac{1}{3} = 8^\frac{1}{3} * (p^6)^\frac{1}{3}\)

Step 2: Simplify the cube root of 8:

The cube root of 8 is 2:

\(8^\frac{1}{3} =2\)

Step 3: Simplify the cube root of \((p^6)\):

The cube root of \((p^6)\) is \(p^\frac{6}{3} =p^2\)

Step 4: Combine the simplified terms:

\(2 * p^2\)

So, the simplified expression is \(2p^2\).

Answer:

3% of the figure is shaded

Fraction: 3/10

Decimal: 0.3

Hope this helped

If Dionte creates a list, it will be (3*n, 9*n) where "n" is the number of books, then, we have the pattern:

But how do discover which one should be on the list? See that the first coordinate is divisible by 3, if we divided it by 3 we have just "n", if we do divide the second coordinate by 9 we have just "n" as well. Then we have to divide by three the first coordinate and by 9 the second one, after that they must be the same! if they are the same it's correct.

a)

Let's do our logic, divide by 3 and the other by 9

As we can see it's different, so it couldn't be on Dionte's list.

b)

Doing the same thing

The result is (4,4), two equal numbers, then it could be on Dionte's list.

c)

The result is (5,5), two equal numbers, then it could be on Dionte's list.

d)

The result is (6,6), two equal numbers, then it could be on Dionte's list.

e)

Here we have a different result again, then it couldn't be on Dionte's list.

Answer:

hol up

x=-1/8  negative one over eight

Step-by-step explanation:

The complete factorization of 3x⁵- 75x³ is:- 3x³(x + 5)(x - 5)

How to solve factor?

To factor completely the expression 3x⁵ - 75x³, we can first factor out the greatest common factor (GCF) of the two terms, which is 3x³:

3x³(x² - 25)

Next, we can factor the expression inside the parentheses using the difference of squares formula:

3x³(x + 5)(x - 5)

Therefore, the complete factorization of 3x⁵ - 75x³ is:

3x³(x + 5)(x - 5)

We can check that this is the correct factorization by using the distributive property of multiplication and verifying that the product of the factors is equal to the original expression:

3x³(x + 5)(x - 5) = 3x³(x² - 25)

= 3x³x² - 3x³(25)

= 3x⁵ - 75x³

So the factorization is correct.

In summary, to factor completely an expression like 3x⁵ - 75x³, we should first factor out the GCF and then look for further factorization opportunities using various factorization techniques such as the difference of squares formula, the sum or difference of cubes formula, or the quadratic formula. It's important to remember to check our work by multiplying the factors back together to ensure that we get the original expression.

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Answer:

77

Step-by-step explanation:

to start off the "difference" is the way to say total in subtraction

you would have to subtract 87 and 10 to find the difference

87 - 10 = 77

77 is the difference between their times

77 is the difference in Bethany and Heather times.

Two or more expressions with an Equal sign is called as Equation.

Bethany and Heather ran a mile in gym class

Bethany finished in 87 minutes and

Heather finished in 10 minutes

we need to find the difference in their times.

Difference is nothing but subtracting one value from the other value or removing smaller value from the larger value

Bethany time is 87 minutes

Heather time is 10 minutes

The difference between both the times is

87-10

Eighty seven minus ten

77

Hence, 77 is the difference in Bethany and Heather times.

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Answer:

m = -3/4

Step-by-step explanation:

Let's look at how much x and y change as we move from A to B:

x increases by 6, from -3 to 3, and y increases by 8, from 7 to 15.  Thus, the slope, m, is rise / run, or (change in y):  m = 8/6 = 4/3.

Now any line perpendicular to AB has a slope which is the negative reciprocal of this 4/3:  m = -3/4

Answer:

  p(c) = 3c +5

Step-by-step explanation:

Effectively, you want to solve for p.

  6c = 2p -10

  6c +10 = 2p

  3c +5 = p

  p(c) = 3c +5 . . . . function notation (p is a function of c)

a. The graph of the budget line would have hamburgers on the x-axis and bags of figs on the y-axis. b. the budget line equation represents Rachel's affordability based on her income and the prices of hamburgers and figs. Changes in prices, income, or additional resources can affect the slope, position, or rotation of the budget line on a graph.

a) Rachel's budget line equation can be written as follows:

Budget = (Price of Hamburger * Quantity of Hamburgers) + (Price of Figs * Quantity of Figs)

Since the price per hamburger is $3 and the price per bag of figs is $2, the equation becomes:

Budget = 3x + 2y

Where x represents the quantity of hamburgers and y represents the quantity of bags of figs. The graph of the budget line would have hamburgers on the x-axis and bags of figs on the y-axis.

b) If the price of figs increases to $3, the new budget line equation becomes:

Budget = 3x + 3y

The graph of the new budget line would show a steeper slope compared to the original budget line. This indicates that the relative price of figs has increased, making them relatively more expensive compared to hamburgers.

c) In this scenario, Rachel has an income of $50, the price per hamburger is $3, the price per bag of figs is $3, and she receives an additional $10 in cash from a friend. The new budget line equation can be written as:

Budget = (3x + 3y) + 10

The graph of the new budget line would shift upward parallel to the original budget line. The additional cash from Rachel's friend increases her purchasing power, allowing her to afford more hamburgers and/or bags of figs.

d) Now, Rachel's friend gives her a gift basket containing 3 free bags of figs. In this case, the budget line equation remains the same as in part c:

Budget = (3x + 3y) + 10

However, since Rachel receives 3 free bags of figs, she can allocate more of her budget towards purchasing hamburgers. This would cause the budget line to rotate outward from the y-intercept, resulting in a flatter slope. The new budget line would reflect Rachel's ability to purchase more hamburgers with the same income and price of figs.

In summary, the budget line equation represents Rachel's affordability based on her income and the prices of hamburgers and figs. Changes in prices, income, or additional resources can affect the slope, position, or rotation of the budget line on a graph.

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Answer:

h= 180/41  

h=4 16/41

h≈4.390243902

Step-by-step explanation:

hope this helps

After solving the expression, the value obtained for the value of h will be equal to 4.5.

Mathematical actions are called expressions if they have at least two terms that are related by an operator and include either numbers, variables, or both. Adding, subtraction, multiplying, and division are all reflection coefficient operations. A mathematical operation such as reduction, addition, multiplication, or division is used to integrate terms into an expression.

As per the data in the question, the given expression is,

16.5 + 2.75h = 9h + 7.5 - 4.25 h

2.75h + 4.25h - 9h = 7.5 - 16.5

-2h = -9

h = 4.5

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The percent decrease in the number of people who went to the local swimming pool over four weeks, starting with a record high of 1,060 people in the first week, was 20%.

To find the percent decrease in the number of people who went to the pool over the four weeks, we need to first find the total number of people who went to the pool over the four weeks and then calculate the percentage decrease from the first week to the fourth week.

Number of people in the first week = 1,060

Number of people in the second week = 1,060 - 110 = 950

Number of people in the third week = 950 + 130 = 1,080

Number of people in the fourth week = 1,080 - 232 = 848

Total number of people over the four weeks = 1,060 + 950 + 1,080 + 848 = 3,938

Percentage decrease in the number of people who went to the pool over the four weeks = ((1,060 - 848)/1,060) * 100% = 20%

Therefore, the percent decrease in the number of people who went to the pool over the four weeks is 20%.

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