PLEASE HELP ASAP The equation cos x=sqrt3/2 is an identity. True or false

The number of people are 72.

Highest Common Factor is the full name for HCF in mathematics.

According to the laws of mathematics, the highest positive integer that divides two or more positive integers without leaving a residual is known as the greatest common divisor, or gcd.

Least Common Multiple is the full name for LCM in mathematics.

LCM (a,b) in mathematics stands for the least common multiple, or LCM, of two numbers, such as a and b. The smallest or least positive integer that is divisible by both a and b is known as the LCM.

We need to know the size of the pieces in order to calculate how many people can be fed equal-sized pieces of cake from a 16 by 18-inch cake.

Assume that each piece is a square with sides measuring "x" in length. Each piece's area would be x², and the cake's overall area would be 16 x 18 inches, or 288 square inches.

We must divide the entire area of the cake by the area of each piece to determine the maximum number of pieces that can be cut from the cake:

288 / x² = (16*18) / x² = 288 / x²

Choosing a "x" value that evenly splits into 16 and 18 is necessary if we want every piece to be the exact same size. Since 2 is the greatest possible value, we can divide the cake into 8 rows of 9 squares, yielding a total of 72 pieces.

As a result, a cake measuring 16 inches by 18 inches can be divided into 72 equal-sized pieces, each measuring 2 inches by 2 inches.

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We can serve 18 people equal-sized pieces of cake from a cake that is 16 inches by 18 inches, assuming each piece is a square and we want the pieces to be exactly the same size.

A two-dimensional figure, form, or planar lamina's area is a measurement of how much space it takes up in the plane.

To find out how many people can be served equal-sized pieces of cake from a cake that is 16 inches by 18 inches, we need to first determine the size of each piece of cake.

The total area of the cake is:

16 inches x 18 inches = 288 square inches

To divide the cake into equal-sized pieces, we need to determine the size of each piece. Let's assume we want each piece to be a square. To find the size of each square, we need to find the square root of the total area of the cake:

√(288 square inches) ≈ 16.97 inches

Since we want the pieces to be exactly the same size, we'll round down to the nearest inch, which gives us:

Each piece of cake will be approximately 16 inches by 16 inches.

To find out how many people can be served equal-sized pieces of cake, we need to divide the total area of the cake by the area of each piece:

288 square inches ÷ (16 inches x 16 inches) = 18

Therefore, we can serve 18 people equal-sized pieces of cake from a cake that is 16 inches by 18 inches, assuming each piece is a square and we want the pieces to be exactly the same size.

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Answer: -27a³b⁶ + 8a⁹b¹²

Step-by-step explanation:

Answer:

He should choose a bonus of 28% of his salary.

Answer:

x = 5, x = 26

Step-by-step explanation:

(8)

7 = \(\frac{77}{x+6}\) ( multiply both sides by x + 6 )

7(x + 6) = 77 ( divide both sides by 7 )

x + 6 = 11 ( subtract 6 from both sides )

x = 5

------------------------------

(10)

\(\frac{x}{-2}\) + 10 = - 3 ( subtract 10 from both sides )

\(\frac{x}{-2}\) = - 13 ( multiply both sides by - 2 to clear the fraction )

x = 26

Step-by-step explanation:

Hey there!

8. 7 = 77/(X+6).

Multiply 7 and (X+6)

\(7x + 42 = 77\)

Take "42" on right side and subtract it from 77.

\(7x = 77 - 42\)

\(x = \frac{35}{7} \)

Therefore, X = 5.

10.

\( \frac{x}{ - 2} + 10 = - 3\)

Shift "10" on right side.

\( \frac{x}{ - 2 } = - 3 - 10\)

Simplify it.

\(x = - 13 \times - 2\)

\(x = 26\)

Therefore, X = 26.

Hope it helps...

Answer:

6

Step-by-step explanation:

2 1/2 + 3 1/2

= (2 + 3) + (1/2 + 1/2)

= 5 + 1

= 6

Answer:

754.80

Step-by-step explanation:

22.20*34=754.80

Answer:

B) -34

Step-by-step explanation:

6x - 4

x = -5

6(-5) -4 = -30 - 4 = -34

Answer: It is b

Step-by-step explanation: It is b ( 2:5 ) because it is asking the odds of spinning red or green and there are 5 colors in total so 1 green and 1 red makes 2 colors so it is 2:5

The polar coordinates corresponding to the rectangular coordinates (5, 573) are approximately (573.05, 90°).

Explanation:

Given rectangular coordinates of the point are (5, 573) and we need to find the polar coordinates.

Let us first recall the definition of rectangular and polar coordinates.

Definitions:

Rectangular coordinates: A rectangular coordinate system is a two-dimensional coordinate system that locates points on the plane by reference to two perpendicular axes. The coordinates of a point P are written as (x, y), where x is the horizontal distance from the origin to P, and y is the vertical distance from the origin to P.

Polar coordinates: A polar coordinate system is a two-dimensional coordinate system that locates points on the plane by reference to a distance from a fixed point and an angle from a fixed axis. Polar coordinates are written as (r, θ), where r is the distance from the origin to P, and θ is the angle formed by the positive x-axis and the line segment from the origin to P.

Now we can find the polar coordinates of the point (5, 573) as follows:

Let's first find r using the formula

r = √(x² + y²)

r = √(5² + 573²)

r = √(25 + 328329)

r = √328354 ≈ 573.05

Now, we will find θ using the formula

θ = tan⁻¹(y / x)

θ = tan⁻¹(573 / 5)

θ = 89.9595° ≈ 90°

Therefore, the polar coordinates of the point (5, 573) are approximately (573.05, 90°).

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\( \color{plum}\bold{(C)} \) Diameter of circle P is the same length as the radius of circle Q.

Given :

Diameter of circle P = 26 cm

Radius of circle P :

\( =\tt \frac{diameter}{2} \)

\( = \tt \frac{26}{2} \)

\(\color{plum} = \tt13 \: cm\)

Thus, radius of circle P = 13 cm

Diameter of circle Q = 52 cm

Radius of circle Q :

\( = \tt \frac{diameter}{2} \)

\( =\tt \frac{52}{2} \)

\( \color{plum}= \tt26 \: cm\)

Thus, radius of circle Q = 26 cm

Radius of circle R = 52 cm

Diameter of circle R :

\( =\tt radius \times 2\)

\( =\tt 52 \times 2\)

\(\color{plum} = \tt104 \: cm\)

Thus, the diameter of circle R = 104 cm

☆ Conclusion :

▪︎Diameter of circle P is the same length as the radius of circle Q.

Therefore, the correct option is (C) Diameter of circle P is the same length as the radius of circle Q.

Given:

Answer:

SAS

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

Since ABC is isosceles, BC = CA.

So, AB = 9(3)+3 = 30.

The expected return on this stock should be 11.38%

The expected return on a stock can be calculated using the Capital Asset Pricing Model (CAPM) formula:

Expected Return on Stock = Risk-Free Rate + Beta * (Expected Return on Market - Risk-Free Rate)

Given that the beta of the stock is 1.15, the expected return on the market is 10.3 percent, and the risk-free rate is 3.1 percent, we can plug these values into the formula:

Expected Return on Stock = 3.1% + 1.15 * (10.3% - 3.1%)

Expected Return on Stock = 3.1% + 1.15 * 7.2%

Expected Return on Stock = 3.1% + 8.28%

Expected Return on Stock = 11.38%

Therefore, the expected return on this stock should be 11.38%.

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Answer:

It is 240(Two hundred and forty)

Step-by-step explanation:

Multiply

Answer:

1) AD = 9 in

2) DE = 9.25 in

3) ∠EDC = 36°

4) ∠AEB = 108°

5) 11.5 in

Step-by-step explanation:

1) AD = BC = 9in

2) AC = BD (diagonals are equal)

⇒ BD = 14.25

⇒ BE + DE = 14.25

⇒ 5 + DE = 14.25

DE = 9.25

3) Since AB ║CD,

∠ABE = ∠EDC = 36°

4) ∠ABE = ∠BAE = 36°

Also ∠ABE + ∠BAE + ∠AEB = 180 (traingle ABE)

⇒ 36 + 36 + ∠AEB = 180

∠AEB = 108

5) midsegment = (AB + CD)/2

= (8 + 15)/2

11.5

Answer:

1 3/8

Step-by-step explanation:

Subtract the fractions, but you need to find common denominators first. Since 4 can go into 8, 8 is the common denominator. Multiply 2 3/4 by 2/2

2 3/4 × 2/2 = 2 6/8

Now subtract.

2 6/8 - 1 3/8 = 1 3/8

Considering the figure < 5 is solved to be 112 degrees by corresponding angle postulate

According to the corresponding angles postulate, two lines are parallel if they are sliced by a transversal and the corresponding angles are congruent.

In other words, if a line (the transversal) crosses two lines, and the angles created on one side of the transversal are equal to the angles created on the other, then the two lines being crossed are parallel.

According to the figure the two angles < 5 and < 112 are corresponding angles and hence they are congruent

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To find the length of the parametric curve described by the equations x = 9t^2 − 3t^3 and y = 3t^2 − 6t, we can set up an integral using the arc length formula. The curve starts at point (12, 9) and ends at point (0, 9), with several changes in direction along the way.

The length of a curve can be calculated using the arc length formula. For a parametric curve defined by x = f(t) and y = g(t), the arc length can be expressed as:

L = ∫[a,b] √[(dx/dt)^2 + (dy/dt)^2] dt.

In this case, we have x = 9t^2 − 3t^3 and y = 3t^2 − 6t. To find the length of the curve, we need to determine the interval [a, b] over which t varies.

From the given information, we can see that the curve starts at (12, 9) and ends at (0, 9). By solving the equation x = 9t^2 − 3t^3 for t, we find that t = 0 at x = 0, and t = 2 at x = 12. Therefore, the interval of integration is [0, 2].

To set up the integral, we calculate the derivatives dx/dt and dy/dt, and then substitute them into the arc length formula. Simplifying the expression inside the square root and integrating over the interval [0, 2], we can evaluate the integral to find the length of the curve.

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Answer:

No, because not all of the pairs represent the same ratio. ...

The property that justifies the statement "OP = RS, RS = OP" with "Sym" is symmetry. Symmetry refers to the property of an object or equation where it remains unchanged under certain transformations or operations.

In this case, if we reflect the circuit across the line of symmetry, the circuit will be exactly the same as the original circuit, except that the voltage source will be flipped over.

Therefore, if we take the voltage across the resistor (RS) and multiply it by the resistance of the voltage source (R), we will get the same result as if we take the voltage across the resistor (OP) and multiply it by the resistance of the resistor (R). This property is symmetric, and thus the statement "OP = RS, RS = OP" is true

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Answer:

Sym. Prop. of ≅ is the correct answer

Answer:

C.

Step-by-step explanation:

The area of a rectangle is typically written as:

\(A = l x w\)

where: l represents the length and w represents the width.

Since, in the given problem, we already know the value of the length which is 14.4 inches, and the value of width is one-third of the length. Thus, the width would be:

\(= (14.4)(\frac{1}{3})\\= \frac{24}{5} \\= 4.8 inches\)

We will simply substitute this value to the formula to get the area.

\(A = lxw\\A = (14.4)(4.8)\\A = 69.12 in^{2}\)

Answer:

its c i did this test

Step-by-step explanation:

The probability of the sum equaling 5 is 1/9

From the question, we have the following parameters that can be used in our computation:

Rolling two dice

When two dice are rolled, we have

Outcomes = 36

Sum of 5 = 4

using the above as a guide, we have the following:

P = Sum of 5/Outcomes

substitute the known values in the above equation, so, we have the following representation

P = 4/36

Evaluate

P = 1/9

Hence, the probability is 1/9

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Members of Baby Boomers generation are retiring at a rate of 10,000 every 24 hours and will all be 65 or older by 2030.

There are 4 generational cohorts :

Baby Boomers(1946-1964)

Thirteeners/Gen X(1965-1980)

Millenials/Gen Y(1981-1996)

Centennials/Gen Z(1997-Present)

So , by the above stated data one can clearly say that the Baby Boomers are the oldest generational cohorts. They are the generation born after Second World War.

According to the last census which was taken in 2010 , none of them turned 65 but after that about 10,000 a day have attained that threshhold and by 2030 , all of the boomers are going to attain at least the age 65.

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Answer:

17 gallons

Step-by-step explanation:

First find how many miles it can travel with 1 gallon which would be 72÷6 = 12 So 1 gallon can takes it to 12 miles

Do 204÷ 12 = 17

Answer:

17 galloons

Step-by-step explanation:

72 Miles= 6 galloons

144 miles = 12 galloons

204 miles = 17 galloons

in every 12 miles is equivalent to 1 galloon of gas so basically when you divide 204 into 12 you will get 17. you need 17 galloons of gas

Answer:

D. 12x = -8

Step-by-step explanation:

D. 12(-2/3) = -8

-24/3 = -8

-8 = -8

Answer:

1) NOT Equivalent

2) Equivalent

3) NOT Equivalent

Step-by-step explanation:

1) 3(x+3)= 3x+9

2) 6(y+1)=6y+6

3)x(x+4)=x²+4x

124

4×23 =92(for cats)

4×8=32(for dogs)

then 92+32=124

Answer:

THEIR I DID IT

Step-by-step explanation:

Answer:

NAh Returned the favor!

Step-by-step explanation: