im pretty sure when you change the sign in an equation you actually have to change all of them so the equation would be 3+5+7. Am i correct?

These real-world applications help young learners see the practical applications of geometry and develop a deeper understanding of geometric concepts while making learning more engaging and meaningful.

Relevance: Connecting math to real-world applications helps students see the practical value and relevance of the concepts they are learning. It provides a meaningful context and motivation for learning.

Engagement: Real-world applications make math more interesting and engaging for students. It brings concepts to life and helps students see how math is used in everyday life.

Deep understanding: By applying math concepts to real-world situations, students develop a deeper understanding of the concepts and their connections. It promotes critical thinking, problem-solving skills, and the ability to apply mathematical knowledge in different contexts.

Transferability: Real-world applications help students see how math concepts can be transferred and applied to various situations. It promotes the ability to apply learned concepts to new and unfamiliar problems.

Some real-world applications of geometry that would be appropriate for young learners include:

Measurement: Young learners can apply geometric concepts to measure and compare the lengths, areas, and volumes of objects in their environment. For example, measuring the length of a room, comparing the sizes of different shapes, or estimating the volume of a container.

Navigation and Maps: Young learners can use geometry to understand maps, directions, and spatial relationships. They can learn about reading maps, understanding coordinates, and finding distances between locations.

Architecture and Construction: Exploring geometric shapes, angles, and symmetry can help young learners understand the principles of architecture and construction. They can design and build simple structures using different shapes and understand the importance of stability and balance.

Art and Design: Geometry plays a significant role in art and design. Young learners can explore symmetry, patterns, and shapes in various art forms. They can create tessellations, explore rotational symmetry, or design patterns using geometric shapes.

Everyday Objects: Geometry is present in everyday objects around us. Young learners can identify and classify shapes in their environment, such as identifying spheres, cubes, cylinders, and cones in objects like balls, boxes, cups, and ice cream cones.

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The simplification of the expression 4a + 3b - a + 3b + 6 is 3(a + 2b + 2)

Simplify 4a + 3b - a + 3b + 6

collect like terms

= 4a - a + 3b + 3b + 6

= 3a + 6b + 6

factorize

= 3(a + 2b + 2)

side a = 3x - 5

side b = 2x - 1

side c = x + 1

Perimeter = 31 cm

The perimeter of a triangle = side a + side b + side c

31 = (3x - 5) + (2x - 1) + (x + 1)

31 = 3x - 5 + 2x - 1 + x + 1

31 = 6x - 5

Add 5 to both sides

31 + 5 = 6x

36 = 6x

divide both sides by 6

x = 36/6

x = 6

Therefore, the value of x from the perimeter of the triangle is 6

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Answer:

We have the proportion: 8/10 = 100/y

We can solve for y by cross-multiplying.

That is, 8y = 100 * 10 Simplifying the right-hand side, 8y = 1000

Dividing both sides by 8 to solve for y, y = 125

Hence, the value of y is 125.

Finally, we have the expression: y = √80We can simplify this expression by factoring 80 into its prime factors:80 = 2 * 2 * 2 * 2 * 5

Taking the square root of 2 * 2 * 2 * 2, we have:√(2 * 2 * 2 * 2) = 2 * 2 = 4

Therefore, y = 4√5The value of y is 4√5.

Step-by-step explanation:

Hope this helps!! Have a good day/night!!

Answer: A. mode

Step-by-step explanation: Mode is not a measure of the degree of spread or dispersion of scores.

Answer:

im jus trying to get points lol

Step-by-step explanation:

If we have that the square room has a floor area of 36ft², we can calculate the side of each of the sides of the floor. After finding the measure of the side, then we can calculate the area of one of the walls. Finally, we have to multiply this result by 4 to obtain the total area of the walls.

We can proceed as follows:

We have that the square room has an area of 36ft². Then we have:

Then if we take the square root to both sides of the equation:

Therefore, each side of the floor measures 6ft.

Since we know that the height of the walls is 7ft, we can find the area of one wall as follows:

We calculated for the area of a rectangle.

Since we have four walls, then the total area of all four walls will be:

In summary, therefore, the total area of all four walls is 168ft² (168 square feet).

The diagonal measurement as √5625 ft, which is approximately 75 feet, the correct answer is B. 75 ft 0 in.

The diagonal measurement of the rectangular slab on grade can be found using the Pythagorean theorem. The diagonal is the hypotenuse of a right triangle formed by the length and width of the slab.

To calculate the diagonal measurement, we can apply the Pythagorean theorem:

Diagonal² = Length² + Width²

Substituting the given values, we have:

Diagonal² = (60 ft 0 in.)² + (45 ft 0 in.)²

Calculating this expression, we find:

Diagonal² = 3600 ft² + 2025 ft²

Diagonal² = 5625 ft²

Taking the square root of both sides, we obtain:

Diagonal = √5625 ft

Diagonal ≈ 75 ft

Therefore, the diagonal measurement of the rectangular slab on grade is approximately 75 feet.

To find the diagonal measurement of the rectangular slab on grade, we can use the Pythagorean theorem,

which states that in a right triangle, the square of the length of the hypotenuse (diagonal) is equal to the sum of the squares of the other two sides (length and width).

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The profit margins (return on sales) for each division are approximately :Division A = 10.85%,Division B = 9.11% and The calculations for the year would be:Net Income = $85,428,Return on Assets = 18.9%.

To compute the profit margins (return on sales) for each division, we divide the profit by the sales and multiply by 100 to express the result as a percentage.

For Division A:

Profit Margin = (Profit / Sales) * 100

Profit Margin = ($230,000 / $2,120,000) * 100

Profit Margin ≈ 10.85%

For Division B:

Profit Margin = (Profit / Sales) * 100

Profit Margin = ($34,700 / $381,000) * 100

Profit Margin ≈ 9.11%

To calculate the net income and return on assets for Polly Esther Dress Shops Inc., we use the given information.

Net Income = Profit Margin * Sales

Net Income = 7% * $1,220,400

Net Income = $85,428

Return on Assets = Profit Margin * Asset Turnover

Return on Assets = 7% * 2.7

Return on Assets = 18.9%

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Explanation:

I'm going to relabel the figure as triangle ABC.

As the instructions mention, we'll use the law of cosines to find the missing side.

Use these facts to find side c

c^2 = a^2 + b^2 - 2*a*b*cos(C)

c^2 = 147^2 + 166^2 - 2*147*166*cos(50)

c^2 = 17794.393497

c = sqrt(17794.393497)

c = 133.395628

c = 133

Answer:70% chance they vote yes

Step-by-step explanation:

Answer:

3/10 for red people and 7/10 for blue people.

Step-by-step explanation:

If Caroline has 6.8 L of lemonade to serve 20 people. Caroline can pour 340 milliliters of lemonade into each glass.

To find out how many milliliters of lemonade Caroline can pour into each glass, we need to convert the volume of lemonade from liters to milliliters and then divide it equally among the 20 guests.

1 liter is equal to 1000 milliliters. So, Caroline has 6.8 L * 1000 mL/L = 6800 mL of lemonade.

To divide it equally among 20 guests, we divide the total volume of lemonade by the number of guests:

6800 mL / 20 = 340 mL.

Therefore, Caroline can pour 340 milliliters of lemonade into each glass.

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Answer:

V = 50.3 in ^2

Step-by-step explanation:

The volume of a cylinder is given by

V = pi r^2 h

We know the radius is 2 and the height is 4

V = (3.14) * (2)^2 * 4

V =50.24

Rounding to the nearest tenth

V = 50.3 in ^2

The slope of a line that passes through points (x1, y1) and (x2, y2) is computed as follows:

Replacing with the points (-1,-5) and (2,-2),

The slope-intercept form of a line is:

y = mx + b

where m is the slope and b is the y-intercept of the line.

Replacing with point (-1, -5) and m = 1,

-5 = 1(-1) + b

-5 = -1 + b

-5 + 1 = b

-4 = b

The equation is:

y = x - 4

Answer: Wouldn't that make it x=44

Step-by-step explanation:

I just divided 176 by 4  because it said the value of y varies directly with x. So just used the rule they used i guess.

Answer:

yes , y = - 3.3x

Step-by-step explanation:

if y varies directly as x then the equation relating them is

y = kx ← k is the constant of variation , then

k = \(\frac{y}{x}\)

checking k for each ordered pair in the table

\(\frac{-6.6}{2}\) = - 3.3

\(\frac{-9.9}{3}\) = - 3.3

\(\frac{-13.2}{4}\) = - 3.3

\(\frac{-16.5}{5}\) = - 3.3

thus k = - 3.3

so y varies directly with x and the equation of direct variation is

y = - 3.3x

Answer:

There is 1 tree per 1.6 acre.

Step-by-step explanation:

Divide the number of trees from the number of acres. This will tell you how many acres are between each tree.

Answer:

0.6 acres.

Step-by-step explanation:

You divide the total population of the willow tree (30) by the areas they occupy (50 acres). Therefore, 30/50=0.6 population per acre.

Answer:

the answer is 24

Step-by-step explanation:

104 x 8=832 and  100 x 8=808 so the answer is 24

Answer:

12

Step-by-step explanation:

36/3=12

hopefully this helps :)

Answer:

D. d^2 - πd^2/4.

Step-by-step explanation:

The sides of the square are equal to the diameter of the circles so the area of the square = d^2.

The shaded area = area of the square -  4 * the area of a quarter circle

= area of the square - area of 1 circle

= d^2 - π r^2

r = d/2 so

Area of the shaded part = d^2 -  π (d/2)^2

= d^2 -  π (d^2/4)

Answer:

Here is the full answered document ;)

Step-by-step explanation:

The coordinates of the bases are:

a) Home plate: (0, 0)

b) First base: ( 90 , 0 )

c) Second base: ( 90 , 90 )

d) Third base: ( 0 , 90 )

"If the baseball diamond is m × m feet then the first base is 90 degrees to the right and 'm' feet away."

"If the baseball diamond is m × m feet then the third base is 90 degrees to the left and 'm' feet away."

"If the baseball diamond is m × m feet then the first base is in between the first and the third base and 'm' feet away from the first and the third base."

For given question,

We have been given the dimensions of the baseball field.

The baseball diamond is 90 feet by 90 feet.

We need to find the coordinates of the coordinates of the three bases.

The coordinates of the first base would be (90, 0)

The coordinates of the third base would be (0, 90)

And the coordinates of the second base would be (90, 90)

Also, the graph of the coordinates for the three bases is as shown below.

Therefore, a) Home plate: (0, 0)

b) First base: ( 90 , 0 )

c) Second base: ( 90 , 90 )

d) Third base: ( 0 , 90 )

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Given:

The table of values of a function.

To find:

The rate of change of the function over the interval \(1\leq x\leq 3\).

Solution:

The rate of change of a function over the interval [a,b] is:

\(m=\dfrac{f(b)-f(a)}{b-a}\)

The rate of change of the given function over the interval \(1\leq x\leq 3\) is:

\(m=\dfrac{f(3)-f(1)}{3-1}\)

From the given table, it is clear that the value of the function is 4 at \(x=1\) and 16 at \(x=3\).

\(m=\dfrac{16-4}{2}\)

\(m=\dfrac{12}{2}\)

\(m=6\)

Therefore, the rate of change of the given function over the interval \(1\leq x\leq 3\) is 6.

Answer:

d

Step-by-step explanation:

Answer:

1/4 x 20

Step-by-step explanation:

Half of 12 is 6, a third of 18 is 6, a sixth of 36 is 6, but a fourth of 20 is only 5. So it does not belong.

The formula for the circumference of a circle can be derived from the concept of the circle's diameter and π (pi).

The circumference of a circle is defined as the distance around its outer edge. To derive the formula, we first need to understand that the diameter of a circle is the distance across it, passing through the center. It is equal to twice the radius (the distance from the center to any point on the circle).

Now, if we take the ratio of the circumference to the diameter for any circle, we find that this ratio is always constant, regardless of the size of the circle. This constant ratio is denoted by the Greek letter π (pi), which is approximately equal to 3.14159. Therefore, we can express the circumference of a circle as C = πd, where C represents the circumference and d represents the diameter. Alternatively, we can use the radius (r) and express the formula as C = 2πr. These formulas allow us to calculate the circumference of a circle based on its diameter or radius.

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Answer: x= -45

Step-by-step explanation: -15 x 3 = -45

Answer:

x = -45

Step-by-step explanation:

I hope this helps!

The number of monic polynomials of degree n in Fp[x] that do not take on the value 0 for x ∈ Fp is pⁿ - 1.

The number of monic polynomials of degree n in Fp[x] is pⁿ. In this case, "monic" means that the coefficient of xⁿ is 1.

In Fp[x], there are p possible values for the coefficient of each power of x, from x⁰ to xⁿ. Hence, there are pⁿ possible polynomials of degree n.

The number of polynomials that do not take on the value 0 for x ∈ Fp is pⁿ - 1 because if a polynomial is zero for all values of x in Fp, then it must be the zero polynomial. The zero polynomial is not counted because it is not monic, as it has a coefficient of 0 for the xⁿ term.

So, the number of monic polynomials of degree n in Fp[x] that do not take on the value 0 for x ∈ Fp is pⁿ - 1.

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The name of the segment inside the large triangle is called the: 3. angle bisector.

The word "bisect" means to divide into two equal halves. Therefore, an angle bisector can be defined as a line segment that divides the an angle in a triangle into two parts that are of the same angle measure.

The image shows a triangle which has a segment that divides a vertex angle into equal parts. Thus, the segment can be named as an angle bisector.

A perpendicular bisector divides a segment into two equal halves at right angle, while a midsegment joins the middle points of two sides of a triangle. The median also, is a segment that joins a vertex of a triangle to the midpoint of the side that is opposite the angle.

Therefore, we can state that the name of the segment is: 3. angle bisector.

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Answer:

d, 10 × 62

Step-by-step explanation:

10 rows times 62 bricks

In the first diagram the value of k is 10 and in the second diagram the value of k is 15/2.

The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.

In the first diagram:

The sum of the 5k + 20 and 7k + 40 is 180

5k + 20 + 7k + 40 = 180

12k + 60 = 180

12k = 180 -60

12k = 120

k = 10

In the second diagram:

The sum of the two interior angles is equal to the exterior angle.

40 + 12k + 10 = 8k + 80

4k = 30

k = 30/4 = 15/2

Thus, in the first diagram the value of k is 10 and in the second diagram the value of k is 15/2.

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