On a map, Orlando is 187 millimeters due south of Niagara Falls, Denver is 282 millimetersfrom Orlando, and Denver is 244 millimeters from Niagara Falls (see figure). Find the bearingof Denver from Niagara Falls.Niagara FallsDenverOrlando

By using Euclidean geometry, the set of side lengths  2.5 cm, 1.8 cm, 4 cm can form a triangle.

The sum of the lengths of any two sides must be greater than the length of the third side.

a + b ≥ c

A triangle is a three-sided polygon with three straight sides. It is a basic geometric shape that is found in many areas of mathematics and geometry.

Using this rule, we can determine which of the given sets of side lengths can form a triangle:

(a) 3 cm, 4 cm, 7 cm: It is not possible to form a triangle with these side lengths, because the sum of the lengths of the first two sides (3 cm + 4 cm = 7 cm) is equal to the length of the third side.

(b) 2 cm, 3 cm, 7 cm: It is not possible to form a triangle with these side lengths, because the sum of the lengths of the first two sides (2 cm + 3 cm = 5 cm) is less than the length of the third side.

(c) 2.5 cm, 1.8 cm, 4 cm: It is possible to form a triangle with these side lengths, because the sum of the lengths of the first two sides (2.5 cm + 1.8 cm = 4.3 cm) is greater than the length of the third side.

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Answer:

Circumference is 2piR =31.4

Area is pir^2=78.5

Step-by-step explanation:

Answer:( 175/6)

Step-by-step explanation: 5*35/6=175/6 sour our numerator is 175/6. So sour answer is (175/6)/35

Answer:

I know Dave's one is 13.04$ Just to get you started.

Step-by-step explanation:

If you divide Dave's one, which is 67 by 5, you get 13.05.

Do the same with Joyce's.

Rounding to the nearest whole number. The correct option is D) 216 m²; 244 m².

Since the prism has a rectangular base, we know that its lateral faces are all rectangles with heights equal to the height of the prism. Let's first find the lateral area of the prism using the formula:

Lateral Area = Perimeter of Base * Height

The perimeter of the base is the sum of the lengths of all four sides of the rectangle. Since there are two bases, we will add their perimeters together. The length and width of each base are 12 m and 7 m, respectively, so:

Perimeter of Base = 2 * (Length + Width) = 2 * (12 + 7) = 38 m

The height of the prism is given as 10 m, so:

Lateral Area = 38 * 10 = 380 m²

Next, we need to find the surface area of the prism. This consists of the lateral area we just found, plus the areas of the two bases. Each base has an area of 12 * 7 = 84 m², so:

Surface Area = 2 * Base Area + Lateral Area = 2 * 84 + 380 = 548 m²

Rounding to the nearest whole number, we get:

Lateral Area ≈ 380 m²

Surface Area ≈ 548 m²

Therefore, the answer is option D) 216 m²; 244 m².

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The solution is, the percent of error, rounded to the nearest percent is 25%.

A percentage is a number or ratio that can be expressed as a fraction of 100. A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number; it has no unit of measurement.

here, we have,

given that,

While viewing a herd of cattle on a ranch, Herbert estimated that there were 750 cattle in the herd.

The actual number of cattle in the herd was 600.

now, we have to find the percent of error, rounded to the nearest percent.

so, we get,

Herbert estimated that there were 750 cattle in the herd.

The actual number of cattle in the herd was 600.

so, error = 750 - 600

              = 150

so, we get,

the percent of error = 150 * 100 / 600

                                 = 25%

Hence, The solution is, the percent of error, rounded to the nearest percent is 25%.

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9514 1404 393

Answer:

  (c)  -3/4

Step-by-step explanation:

Subtracting a positive number moves you to the left on the number line. Subtracting a negative number moves you in the opposite direction, to the right.

Here, we start at -2 1/2 = -5/2, and we move 1 3/4 = 7/4 to the right from there. Each mark on this number line is 1/4 unit, so we move 7 marks. The results is ...

  -2 1/2 -(-1 3/4) = -5/2 +7/4

  = -10/4 +7/4 = -3/4

Answer:

$14.5

Step-by-step explanation:

Given data

Cost for the visit=442.25 Rubles

exchange rate

3 USD= 91.5 Rubles

but 1 USD= 91.5/3

=  30.5

Therefore if 1 USD is 30.5 Rubles

         Then   xUSD is  442.25 Rubles

cross multiply

30.5x= 442.25

divide both sides by 30.5

x= 442.25/30.5

x=14.5USD

The cost of the attraction is $14.5

By considering these rules and properties of integers, the correct result of 6 was obtained.

When writing the response, I considered the following information:

The product or quotient of two integers with different signs is negative. This rule was used to determine that 2(-12) equals -24, not 24.

To subtract an integer, add its opposite. This rule was applied when subtracting -30 from -24, resulting in -24 - (-30) = -24 + 30.

To add integers with opposite signs, subtract the absolute values. The sum has the same sign as the integer with the greater absolute value.

This rule was used to calculate -24 + 30 = 6, where the absolute value of 30 is greater than the absolute value of -24.

By considering these rules and properties of integers, the correct result of 6 was obtained.

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Answer:

43

Step-by-step explanation:

Green:  9 - 2(-3) = 9 + 6 = 15

Red:  -2(-3) + 4 = 6 + 4 = 10

Dark blue:  7x + 5 = 19

7x = 19 - 5 = 14

x = 14/7 = 2

Light blue:  6x + 3 = 21

6x = 21 - 3 = 18

x = 18/6 = 3

Red(Lt blue) - Dk blue + Green = 10(3) - 2 + 15 = 43

Answer:

{-5,-2,0,2,5,-1,1,8}

Step-by-step explanation:

The union of two sets contains all elements that are in set A or in set B (possibly both).

{-5,-2,0,2,5} ∪ {-5,-1,1,5,8} = {-5,-2,0,2,5,-1,1,8}

Answer:

6 1/2 hours

Step-by-step explanation:

3 1/2 + 1/2 + 2 1/2

4 + 2 1/2

6 1/2

First add the 3 1/2 and the 1/2 together to get 4. Then you add the 2 1/2 to the 4 to get 6 1/2. :)

Hope this helped!

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Answer: 12hrs 30mins

Step-by-step explanation: 3hrs 30mins + 3hrs + 6hrs = 12hrs 30mins

Hope that helps!

Answer:

1,687,500,000,000

Step-by-step explanation:

1) 270,000,000 x 6250

Answer:

  y = (2/3)x -4

Step-by-step explanation:

Simplify the given equation.

  y - 0 = (2/3)(x - 6)

  y = (2/3)x -4

Answer:

Its C

Step-by-step explanation:

just took the test.

Hope this helps! :)

The simplified expression when a polynomial is divided by a monomial is \(y^3 / u^3 (8u^4 - 3y^2u^4 - 3y^2).\)

A polynomial expression can be represented as a product of other, smaller polynomial expressions through the algebraic process of factoring. The process of factoring can be used to simplify expressions and solve problems. A polynomial equation's roots can be found by factoring, as can the common factors in an expression that can be eliminated. Factoring occasionally enables us to spot trends and connections between several expressions.

Depending on the kind of polynomial and the degree of the terms involved, there are several ways to factor. S

For the given expression \((12y^7u^2-32y^5u^6+15y^7u^6) / (-4y^2u^5)\) factor the common term.

\((12y^7u^2-32y^5u^6+15y^7u^6) / (-4y^2u^5)\\-4y^5u^2(3y^2 - 8u^4 - 3y^2u^4) / (-4y^2u^5)\)

Cancelling the -4:

\(= y^3 / u^3 (8u^4 - 3y^2u^4 - 3y^2)\)

Hence, the simplified expression is \(y^3 / u^3 (8u^4 - 3y^2u^4 - 3y^2).\)

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1. The length of one side of the field with a total area of 289² feet (289 square feet) is 17 feet.

2. The perimeter of the square field is 68 feet.

The perimeter is the distance around the boundary of the square field.

Since the length or distance of each of the four sides is 17 feet, the perimeter is the product of 17 x 4, which is 68 feet.

The total area of a square field = 289² feet

The length of one side of the square field = 17 feet ( \(\sqrt289\))

The perimeter of the square = 68 feet (17 x 4)

Thus, the length of each side of the square field is 17 feet with a perimeter of 68 feet.

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The method of counting seeds by touching each can be more effective in enhancing strong number sense in children as it allows them to experience each number physically and helps them in developing a strong sense of numbers.

In order to enhance strong number sense in children, there are various methods that can be used.

In the given scenario, Mme Potatana asked the children to count as a whole class from 1 to 20 while Ntate Mafodi asked the children in his class to count seeds from the school's ground in a pile by touching each as they count.

Both methods have their own benefits, but the method of counting seeds by touching each can be more effective in enhancing strong number sense in children.

The method of counting seeds by touching each can be more effective in enhancing strong number sense in children because it allows them to experience each number physically.

This helps them in developing a strong sense of numbers. By touching each seed as they count, children can feel and see each number, which helps them in understanding numbers better. Additionally, it helps in developing the concept of one-to-one correspondence and counting by rote.

Here are some appropriate examples for enhancing strong number sense using the method of counting seeds by touching each:

1. Use counters: Provide children with counters such as small objects, blocks, or toys. Ask them to count the number of counters by touching each as they count.

2. Counting on fingers: Encourage children to count on their fingers. This helps them in developing a strong sense of numbers and helps them in understanding the concept of one-to-one correspondence.

3. Counting objects in a pile: Ask children to count objects in a pile by touching each as they count. This helps in developing the concept of counting by rote and helps in enhancing strong number sense.

Overall, the method of counting seeds by touching each can be more effective in enhancing strong number sense in children as it allows them to experience each number physically and helps them in developing a strong sense of numbers.

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By applying the concept of corresponding angles in similar triangles, we were able to establish the value of x as 25 in the given scenario.

In the given problem, we are provided with information about the angles in two similar triangles: triangle ABC and triangle STU. It is stated that angle UTS in triangle STU is 100 degrees, and since corresponding angles of similar triangles are congruent, we can conclude that angle STU is also 100 degrees.

Next, we examine angle BAC in triangle ABC, which is given as 4x. Using the same logic, we know that angle BAC is also congruent to angle STU. Therefore, we can equate the two angles:

angle BAC = angle STU

4x = 100

To find the value of x, we divide both sides of the equation by 4:

x = 100/4

x = 25

Hence, we determine that x is equal to 25. This method allows us to leverage the known information about one triangle to infer the measurements of corresponding angles in the other similar triangle.

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The data in the table can be modeled by this linear equation in slope-intercept form: y = 8x - 5.

The slope is 8, which means the wages earned increases at rate of 8 dollars per hour as the time increases.

The y-intercept is -5 and it represent the initial wages earned.

In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is represented by this mathematical expression;

y = mx + c

Where:

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

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (24.00 - 8.00)/(3 - 1)

Slope (m) = 16.00/2

Slope (m) = 8

At data point (1, 3), a linear equation in slope-intercept form for this line can be calculated as follows:

y - y₁ = m(x - x₁)

y - 3 = 8(x - 1)

y = 8x - 8 + 3

y = 8x - 5

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Answer:

10 + 20 + 2

Easy, make it easy to do mentally than add the remaining

Answer:

12 + 20 = 4*3 + 4*5 = 4*(3 + 5)  

Step-by-step explanation:

Distributive property states

a*(b + c) = a*b + a*c  

Look if you know that 12 = 4*3 and 20 = 4*5

You can write it as

12 + 20 = 4*3 + 4*5 = 4*(3 + 5)  

That would be it in distributive property

The area of the complex figure is 132 square units

From the information given, we have that the composite shape is a combination of a:

The formula for area of a square is given as:

Area = a ²

Where 'a' is the length of it side

Area = 6²

Area of square = 36 square units

The formula for area of a rectangle is given as:

Area = width × length

Area = 8 × 12

Area of rectangle = 96 square units

Area of the complex figure = Area of square + area of rectangle

= 36 + 96

= 132 square units

Thus, the area of the complex figure is 132 square units

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On graph B, the group of birds seems to have twice as much as the group of mammals.

The change in scale on the y-axis from 50 to 85 in increments of 5 in Graph A to 0 to 80 in increments of 10 in Graph B makes the differences between the groups appear larger in Graph B.

As a result, the height of the bar for birds is approximately twice as much as the height of the bar for mammals in Graph B, which may not be apparent in Graph A.

Therefore, the correct option is (a) On graph B, the group of birds seems to have twice as much as the group of mammals.

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Answer: OC. x = -8 is not in the domain of the function f(x) = √x - 8 because the square root of a negative number is not a real number. Therefore, the only value of x that is in the domain of the function is x ≥ 0.

Step-by-step explanation:

Answer:

1.) apponitee

2.) patronage

3.) war chest

4.) electoral vote

5,) specific leader

6.) committee

Step-by-step explanation:

The product of 5 × 5ab × 5, a, b is 125ab5 when written in its most Simple form

The expression 5 × 5ab × 5, a, b is equal to 125ab5. The reasoning is that when we multiply 5 by 5ab, we get 25ab, which we then multiply by 5 to get 125ab. Since a, b are variables, the product 125ab5 is the product of 5 × 5ab × 5, a, b, when written in its most simple form.

The expression 5 × 5ab × 5, a, b is an algebraic expression, which consists of numbers, variables, and operators. Variables are usually represented by letters or other symbols, while operators such as +, -, ×, ÷, ^ are used to indicate mathematical operations such as addition, subtraction, multiplication, division, and exponentiation. In algebra, expressions can be simplified by combining like terms, expanding brackets, and applying other rules of arithmetic.

The most simple form of an expression is the one that cannot be further simplified.In the given expression, 5 × 5ab × 5, a, b, we can see that the number 5 appears three times, so we can simplify the expression by multiplying the numbers together.

Similarly, we can multiply the variables a and b together to get the term ab. Finally, we write the result as 125ab5, which is the product of 5 × 5ab × 5, a, b, in its most simple form.

Therefore, the product of 5 × 5ab × 5, a, b is 125ab5 when written in its most simple form.

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Answer:

y = 0

Step-by-step explanation:

The function has a horizontal asymptote at y = 0 where y is the value of the car

\(\text{Since the equation for the value of the car is }\)  \(23000(1-0.15)^t\)

As \(t \rightarrow \infty, \text{the term } (1-0.15)^t \rightarrow 0 \\\)

This is because the term (1-0.15) is < 1 and a nˣ approaches 0 as x → ∞ since the values get smaller and smaller with increasing powers of x

So the equation for the horizontal asymptote is y = 0

Provided graph to illustrate

Answer:

3(5y) or 1(15y)

Step-by-step explanation:

Hopefully this helps you! Have a great night/day!