What side length would you specify if you were required to create a regular hexagonal plate that was composed of 33 cm2 of sheet metal? Sketch the hexagon, dimension the side length on the sketch to 0.1 cm, and indicate your grid spacing. Justify your dimension.

In one hour, the minute hand, being twice as long as the hour hand, covers a distance of 4π times its length, while the hour hand covers 1/12 of its circumference. The difference, 23π/6 times the length of the hour hand, translates to approximately 12.09 times the length of the hour hand, rounded to the nearest hundredth.

The question asks about the relative movement of clock hands, which is a concept related to geometry and ratios. We need to determine how much farther the tip of the minute hand moves than the tip of the hour hand in one hour. Given that the length of the minute hand is 200% of the length of the hour hand, the minute hand's tip covers a greater distance due to its longer radius.

In one hour, the minute hand makes one complete revolution, which is 360 degrees around the clock. The hour hand, however, moves only 1/12th of this distance because there are 12 hours on a clock. To find the actual distances, we calculate the circumference each hand moves through, knowing that the length of the minute hand is twice that of the hour hand.

Let's denote the length of the hour hand as L. Therefore, the length of the minute hand is 2L. The circumference for the minute hand is 2π(2L) and for the hour hand is 2π(L). The minute hand travels 2π(2L) = 4πL, whereas the hour hand travels 1/12 of its circumference, which is approximately 2π(L)/12 = πL/6.

The difference in the distance covered in one hour is 4πL - πL/6. Simplifying this:

4πL - πL/6 = (24πL - πL)/6

(24πL - πL)/6 = 23πL/6

23πL/6 is approximately 23πL/6 = 12.09L (using π ≈ 3.14)

The tip of the minute hand moves approximately 12.09 times the length of the hour hand farther in one hour. This result would then be rounded to the nearest hundredth as per instruction.

The correct answers are:

68° and 112°.

Explanation:

Let x be the measure of the smaller angle.

The larger angle would then be x+44.

Since the angles are supplementary, their sum measures 180°. This gives us the equation:

x+(x+44) = 180

Combining like terms, we have

2x+44 = 180

Subtract 44 from each side:

2x+44-44 = 180-44

2x = 136

Divide each side by 2:

2x/2 = 136/2

x = 68

The smaller angle measures 68°.

The larger angle is 44° more:

68+44 = 112°

The current social security tax is 12.4% so the answer is $2349.18

Social security deduction is a federal tax imposed on employers, employees and self-employed individuals. Employers and employees both get the equal shares. The current tax rate for social security is 6.2% for the employer and 6.2% for the employee and 12.4 % in total so the social security tax for $37890 is 4698.36 in total and $2349.18 on each party i.e employer and employee.

According to the distributive property, Multiplying each value in the bracket by 5 ls equivalent to taking the sum of the values, then multiply the sum by 5. Hence, the distributive property is used for the expansion.

Given the expression :

To expand, use the distributive property, such that ;

5(3x - 6/7)

5*3x - 5*6/7

15x - 30/7

Therefore, the distributive property would be used in expanding the expression above.

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Perpendicular lines remain perpendicular after any rotation around a point on either line because rotation is a rigid motion that preserves angles and distances. Therefore, the correct answer is option D).

When a pair of perpendicular lines is rotated around any point on either line, the two lines will always remain perpendicular to each other, regardless of the angle of rotation. This is because rotation is a rigid motion, which preserves angles and distances. Consequently, if the two lines were originally perpendicular, they would continue to form a 90-degree angle with each other after any amount of rotation. In other words, the nature of perpendicular lines is such that they form four right angles at the point of intersection, and rotation around that point does not alter these angles.

Bar models can be used to represent the quotient and the product of numbers or expressions

Represent the division of m by 4 with x.

So, we have:

[tex]\frac m4 = x[/tex]

Multiply both sides of the equation by 4

[tex]4 * \frac m4 = x * 4[/tex]

Evaluate the products

[tex]m = x * 4[/tex]

So, we have:

[tex]m =4x[/tex]

See attachment for the bar model

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x² + 2

Let us determine whether each algebraic expression is a polynomial or not.

Let us rephrase the following definitions.

For example, consider the polynomial [tex]\boxed{ \ 2x^4 - 3x^2 - 4x - 5 \ }[/tex]

A polynomial is said to be in standard form if the terms are written in descending order of degree. For example:

Keywords: which of the following is a polynomial, a monomial, terms, the leading coefficient, constant, in a standard form, rational function, whole number power, integer

Answer:

A) 7

Step-by-step explanation:

E is when the numbers differ by 11, so these pairs work:

(1, 12), (2, 13), (3, 14), (4, 15), (5, 16), (6, 17), (7, 18)

Thus, there are 7 outcomes where the numbers differ by 1

Answer:

Correct Answer is 2.5

Step-by-step explanation:

Answer: The value of m∠ABC = 19 °

Step-by-step explanation:

Since we have given that

AC is tangent to the circle with center at B.

The measure of ∠ACB = 71°

And we know that "Radius is the shortest distance from the center to the tangent".

So, Radius is always perpendicular to the tangent.

So, the measure of ∠BAC = 90°

Consider, ΔABC, we get that

[tex]\angle ABC+\angle BAC+\angle ACB=180^\circ\\\\\angle ABC+90^\circ+71^\circ=180^\circ\\\\\angle ABC=180^\circ-90^\circ-71^\circ\\\\\angle ABC=19^\circ[/tex]

Hence, the value of m∠ABC = 19 °

Answer:

Triangle

Step-by-step explanation:

A cube is a three-dimensional figure with six congruent square faces. The cube below is sliced by a plane through three points that are equidistant from one of its vertices.

The cross-section created by the plane is an equilateral triangle.

Therefore,  traingle is the best choice.

Answer:

Next one is six

Step-by-step explanation:

Im doing the assignment rn, it always seems about halfway through an edge course brainly users lose braincells because they keep saying next one is 81.333

Answer:

x  :  2,4,6,8

f(x) :12,6,4,3

This table represents the relationship of an inverse variation.

Step-by-step explanation:

We are asked to find which relationship shows an inverse variation.

Inverse variation means that there exist a constant 'k' such that:

f(x)=k/x

or, k=x·f(x)

1)

x  :   2, 3, 4, 5

f(x):  1,  4, 9, 16

if x=2 and f(x)=1

k=2

but if x=3 and f(x)=4

we get: k=12.

Hence, we do not obtain a same constant k.

2)

x:   1,2,3,4

f(x):2,8,18,32

when x=1 , f(x)=2

⇒ k=2

when x=2 , f(x)=8

⇒ k=16

Hence, we did not get a same constant 'k'.

3)

x:  1,2,3,4

f(x):4,3,2,1

when x=1, f(x)=4

⇒ k=4

when x=2 , f(x)=3

⇒ k=6

Hence, we did not get a same constant 'k'.

4)

x  :2,4,6,8

f(x) :12,6,4,3

when x=2 f(x)=12

⇒ k=2×12=24

when x=4  f(x)=6

⇒ k=4×6=24

when x=6    f(x)=4

⇒   k=6×4=24

when x=8   f(x)=3

⇒  k=8×3=24

Hence, we get a constant 'k=24' for all the values of x.

Hence, option: 4 shows relationship of an inverse variation.

x  :2,4,6,8

f(x) :12,6,4,3

Answer:

2/3

Step-by-step explanation:

My cousin just took this on odyssey

Answer:

the answer is 3/10 slime

Step-by-step explanation: