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## If the side length of the base of a square pyramid is divided by 4 and the slant height is divided by 3, what is the surface area formula that represents these changes?

If the side length of the base of a square pyramid is divided by 4 and the slant height is divided by 3, what is the surface area formula that represents these changes?

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## What is the perimeter of a triangle with side lengths of 9, 12, and 4x? 1. 25 2. 25 + x 3. 21x or 4. 21 +4x

What is the perimeter of a triangle with side lengths of 9, 12, and 4x? 1. 25 2. 25 + x 3. 21x or 4. 21 +4x

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## The sides of a triangle are in the ratio 3 : 4 : 5. What is the length of each side if the perimeter of the triangle is 90 cm

The sides of a triangle are in the ratio 3 : 4 : 5. What is the length of each side if the perimeter of the triangle is 90 cm

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## The side of a square measures (3x − 6) units. Part A: What is the expression that represents the area of the square? Show your work to receive full credit. (4 points) Part B: What are the degree and classification of the expression obtained in Part A? (3 points) Part C: How does Part A demonstrate the closure property for polynomials? (3 points)

A. The area of a square is given as:

A = s^2

Where s is a measure of a side of a square. s = (2 x – 5) therefore,

A = (2 x – 5)^2

Expanding,

A = 4 x^2 – 20 x + 25

B. The degree of a polynomial is the highest exponent of the variable x, in this case 2. Therefore the expression obtained in part A is of 2nd degree.

Furthermore, polynomials are classified according to the number of terms in the expression. There are 3 terms in the expression therefore it is classified as a trinomial.

C. The closure property demonstrates that during multiplication or division, the coefficients and power of the variables are affected while during multiplication or division, only the coefficients are affected while the power remain the same.

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## One of the sides of a pentagon has length 12. Which of the following points, when paired with (2,3), will make a side equal to this length (14, 15) (2, −9) (−2, −3) (−9, 2)

One of the sides of a pentagon has length 12. Which of the following points, when paired with (2,3), will make a side equal to this length (14, 15) (2, −9) (−2, −3) (−9, 2)

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## The measure of in degrees, is approximately 34.38 side lengths are 4, 5.3 ,and 7

Draw the triangle as shown in the figure below.
a=5.3, b=7, c=4.

The smallest angle is ∠C because it is opposite the shortest length of 4.
From the Law of Cosines,
c² = a² + b² – 2ab cosC
or
cos C = (a² + b² – c²)/(2ab)
= (5.3² + 7² – 4²)/(2*5.3*7)
= 0.823

∠C = arcos(0.823) = 34.58°
This answer agrees reasonably with 34.38°

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## You are given a side length of 7 cm how many equilateral triangle's can you construct using this information?

You are given a side length of 7 cm how many equilateral triangle’s can you construct using this information?

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## The lengths of two sides of a right triangle are 5 inches and 8 inches. What is the difference between the two possible lengths of the third side of the triangle? Round your answer to the nearest tenth.

If 5 in and 8 in are legs:
hypotenuse = √(5²+8²) = √89 ≈ 9.4 in.

If 5 in is the leg and 8 in is the hypotenuse:
other leg = √(8²-5²) = √39 ≈ 6.2 in.

The difference between the two possible lengths of the third side =
9.4 – 6.2 = 3.2 in.

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## Maria is erecting a statue on a triangular plot of land. She wants to put decorative stonework edging around the site. The length of one side of the plot of land is 25 feet. If the angles at the end of this side are 65° and 38°, find the length of stonework edging needed to enclose the site on which the statue is erected.

Draw the triangle shown below to illustrate the problem.
Given:
a=25 ft, ∠B=65°, ∠C=38°.

Because angles in a triangle sum to 180°, therefore
∠A = 180 – 65 – 38 = 77°.

Apply the Law of Sines to find b and c.
b/sin(B) = a/sin(A)
b/sn(65°) = 25/sin(77°)
b = [sin(65)/sin(77)]*25 = 23.254 ft

c/sin(C) = a/sin(A)
c/sin(38) = 25/sin(77)
c = [sin(38)/sin(77)]*25 = 15.796 ft

The length of stone work required is
a + b + c
= 25 + 23.254 + 15.796
= 64.05 ft

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## A triangle has two sides of lengths 5 and 13. What value could the length of the third side be?

A triangle has two sides of lengths 5 and 13. What value could the length of the third side be?

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## If a pyramid has a side length of 230 meters and a height of 146 and I'd the model has a side length of 0.575 meters and a height of 0.365 what is the scale factor of model

If a pyramid has a side length of 230 meters and a height of 146 and I’d the model has a side length of 0.575 meters and a height of 0.365 what is the scale factor of model

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## Quadrilateral ABCD ABCD is similar to quadrilateral EFGH EFGH. The lengths of the three longest sides in quadrilateral ABCD ABCD are 20 feet, 18 feet, and 14 feet long. If the two shortest sides of quadrilateral EFGH EFGH are 6 feet long and 5 feet long, how long is the 4th side on quadrilateral ABCD A:13 ft B:6.4ft C:9.2ft D:11.7

Quadrilateral ABCD ABCD is similar to quadrilateral EFGH EFGH. The lengths of the three longest sides in quadrilateral ABCD ABCD are 20 feet, 18 feet, and 14 feet long. If the two shortest sides of quadrilateral EFGH EFGH are 6 feet long and 5 feet long, how long is the 4th side on quadrilateral ABCD A:13 ft B:6.4ft C:9.2ft D:11.7

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## A pair of parallel lines is cut by a transversal: A pair of parallel lines cut by a transversal is shown. The inside bottom right angle is labeled 80 degrees. The alternate interior angle is cut by a ray and is labeled as x on one side and 20 degrees on the other. What is the measure of angle x?

A pair of parallel lines is cut by a transversal: A pair of parallel lines cut by a transversal is shown. The inside bottom right angle is labeled 80 degrees. The alternate interior angle is cut by a ray and is labeled as x on one side and 20 degrees on the other. What is the measure of angle x?

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## If the side of a cube is 5xy centimeters in length, what is the volume of the cube?

If the side of a cube is 5xy centimeters in length, what is the volume of the cube?

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## If the side of a cube is 5xy centimeters in length, what is the volume of the cube?

If the side of a cube is 5xy centimeters in length, what is the volume of the cube?

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## Timmy writes the equation f(x) = 1/4x – 1. He then doubles both of the terms on the right side to create the equation g(x) = 1/2x – 2. How does the graph of g(x) compare to the graph of f(x)?

Timmy writes the equation f(x) = 1/4x – 1. He then doubles both of the terms on the right side to create the equation g(x) = 1/2x – 2. How does the graph of g(x) compare to the graph of f(x)?

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## WHOEVER gives the CORRECT answer FIRST, gets brainliest answer and thanks Two right triangles are graphed on a coordinate plane. One triangle has a vertical side of 3 and a horizontal side of 7. The other triangle has a vertical side of 9 and a horizontal side of 21. Could the hypotenuses of these two triangles lie along the same line? (4 points) Yes, because they are both right triangles Yes, because they are similar triangles No, because they are not similar triangles No, because one is larger than the other

WHOEVER gives the CORRECT answer FIRST, gets brainliest answer and thanks Two right triangles are graphed on a coordinate plane. One triangle has a vertical side of 3 and a horizontal side of 7. The other triangle has a vertical side of 9 and a horizontal side of 21. Could the hypotenuses of these two triangles lie along the same line? (4 points) Yes, because they are both right triangles Yes, because they are similar triangles No, because they are not similar triangles No, because one is larger than the other

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## Which of the following could be considered a negative side effect to instant information? A. the creation of the Associated Press B. the Panic of 1857 C. the Industrial Revolution D. the Transcontinental Railroad

Which of the following could be considered a negative side effect to instant information? A. the creation of the Associated Press B. the Panic of 1857 C. the Industrial Revolution D. the Transcontinental Railroad

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## From what is known about spring tides and neap tides, you can conclude that a. the sun’s gravity exerts the most power when the moon is on the opposite side of the Earth from the sun. b. the height of high tides varies with the phases of the moon. c. spring tides and neap tides affect the phases of the moon. d. the moon revolves around the Earth every 14 days.

From what is known about spring tides and neap tides, you can conclude that a. the sun’s gravity exerts the most power when the moon is on the opposite side of the Earth from the sun. b. the height of high tides varies with the phases of the moon. c. spring tides and neap tides affect the phases of the moon. d. the moon revolves around the Earth every 14 days.

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## What is the length of a diagonal of a cube with a side length of 10 cm?

What is the length of a diagonal of a cube with a side length of 10 cm?

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## A loop of wire has the shape of a right triangle (see the drawing) and carries a current of i 5 4.70 a. a uniform magnetic ? eld is directed parallel to side ab and has a magnitude of 1.80 t. (a) find the magnitude and direction of the magnetic force exerted on each side of the triangle. (b) determine the magnitude of the net force exerted on the triangle.

You are given a loop of wire that has the shape of a right triangle and carries a current of 5A and a uniform magnetic field directed to side AB with a magnitude of 1.8 tesla. You are asked to find the magnitude and direction of the magnetic force exerted on each side of the triangle and the magnitude of the net force exerted on the triangle.

When you draw the diagram, you can see that magnetic field and current are parallel to each other and no force is exerted on the edge AB. So magnitude is 0N with no direction.

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## What if we had a square one side equaled 30 what did the other sides equal?

What if we had a square one side equaled 30 what did the other sides equal?

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## If the sides of a square are lengthened by 7 feet, the area becomes 121 square feet. how long is a side of the original square?

If the sides of a square are lengthened by 7 feet, the area becomes 121 square feet. how long is a side of the original square?