an equilateral triangle an a square have the same perimeter.Each side of the square measures 6cM.What is the length of each side of the triangles

Answers

Answer 1

Answer: Each side of the square measures 6 cm.
The square has 4 sides.
The distance all the way around the square is (6 x 4) = 24cm

The equilateral triangle has the same perimeter as the square.
The distance all the way around the equilateral triangle is 24 cm.
A triangle has 3 sides, and in an equilateral triangle they're all the same length.
Each side = 1/3 of 24 cm = 8cm .

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4 An alloy is a mixture of metals. Most of the gold used in jewellery is an alloy of pure gold and other metals which are added to make the gold harder. Pure gold is 24 carats (ct), so 18 carat parts pure gold 18 gold is an alloy of gold and other metals in the ratio 18:6. In other words, 18/24 parts pure gold and 6/24 other metals. a. A jeweller makes an 18 ct gold alloy using three grams of pure gold. What mass of other metals does she add?
b . An 18 ct gold chain contains four grams of pure gold. How much other metal does it contain? c. What is the ratio of gold to other metals in 14 ct gold?
d. What is the ratio of gold to other metals in 9 ct gold?

Answers

To calculate the mass of other metals in each scenario, we need to use the given ratios.

Given:

- Pure gold is 24 carats (ct).

- 18 carat gold is an alloy of gold and other metals in the ratio 18:6 (18/24 parts pure gold and 6/24 other metals).

a. A jeweller makes an 18 ct gold alloy using three grams of pure gold. What mass of other metals does she add?

First, let's find the mass of other metals in the 18 ct gold alloy.

18 ct gold contains 18/24 parts pure gold and 6/24 parts other metals. So, if the jeweller uses 3 grams of pure gold, the amount of other metals in the alloy can be calculated as follows:

Mass of other metals = (6/24) * 3 grams

Mass of other metals = (1/4) * 3 grams

Mass of other metals = 3/4 grams

b. An 18 ct gold chain contains four grams of pure gold. How much other metal does it contain?

Similarly, for the 18 ct gold chain containing 4 grams of pure gold:

Mass of other metals = (6/24) * 4 grams

Mass of other metals = (1/4) * 4 grams

Mass of other metals = 4/4 grams

Mass of other metals = 1 gram

c. What is the ratio of gold to other metals in 14 ct gold?

For 14 ct gold, the ratio of gold to other metals is 14:10 (since 14 + 10 = 24, and gold is 14 out of 24 parts, while other metals are 10 out of 24 parts).

d. What is the ratio of gold to other metals in 9 ct gold?

For 9 ct gold, the ratio of gold to other metals is 9:15 (since 9 + 15 = 24, and gold is 9 out of 24 parts, while other metals are 15 out of 24 parts).

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Given:
diameter = 12 ft

Area = π r²

r = radius. It is 1/2 of the diameter.
r = 12 ft / 2 = 6 ft.

Area = 3.14 * (6ft)²
A = 3.14 * 36ft²
A = 113.04 ft² or 113.0 ft² rounded to the nearest tenth.

A skydiver weighing 160 lb (including equipment) falls vertically downward from an altitude of 20,000 ft and opens the parachute after 18 s of free fall. Assume that the force of air resistance, which is directed opposite to the velocity, is of magnitude 0.7|v| when the parachute is closed and is of magnitude 14|v| when the parachute is open, where the velocity vis measured in ft/s. Assume that acceleration due to gravity has magnitude 32 ft/s; remember that weight is the product of mass and gravitational acceleration.Required:
a. Find the speed of the skydiver when the parachute opens.
b. Find the distance fallen before the parachute opens.
c. What is the limiting velocity vL after the parachute opens?
d. Determine how long the sky diver is in the air after the parachute opens.
e. Plot the graph of velocity versus time from the beginning of the fall until the sky diver reaches the ground.

Answers

I found that the seeds are being big

Which quadratic equation defines the function that has zeros at -8 and 6?

Answers

Well, if 'y' has zeros at x=6 and x=-8,
then 'y' must be the product

y = (x - 6) (x + 8)

Perform the multiplication to get the quadratic function:

y = x² + 2x - 48

Which of the following represents a polygon that is two times the size of the original polygon?A: (x' , y') = (0.2x,0.2y)
B: (x' , y') = (1/2x, 1/2y) <-- Fractions
C: (x' , y') = (4x,4y)
D: (x' , y') = (2x,2y)

Answers

The expression representing two times the size of the original polygon is (x' , y') = (2x,2y), hence, option (D) is the correct answer.

What is dilation?

A dilation is a transformation that yields a picture that differs in size while maintaining the original image's shape.

The size of the polygon will be doubled if its coordinates are multiplied by 2.

The expression representing the two times the size of the original polygon is (x' , y') = (2x,2y)

Hence, option (D) is the correct answer.

Learn more about the dilation:

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The answer is D. (2x,2y) because when you two times an ordered pair you multiply it by two.

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The function H(t) = −16t2 + 90t + 50 shows the height H(t), in feet, of a projectile after t seconds. A second object moves in the air along a path represented by g(t) = 28 + 48.8t, where g(t) is the height, in feet, of the object from the ground at time t seconds.Part A: Create a table using integers 1 through 4 for the 2 functions. Between what 2 seconds is the solution to H(t) = g(t) located? How do you know? (6 points) Part B: Explain what the solution from Part A means in the context of the problem. (4 points)