41. angle in a parallelogram a parallelogram has sides of length 25.9 cm and 32.5 cm.
the longer diagonal has length 57.8 cm. find the measure of the angle opposite the longer diagonal.

Answer:

2

Step-by-step explanation:

In Korea, tofu is typically offered during breakfast.

Describe breakfast.

The first meal of the day, known as breakfast, is often had in the morning. After an overnight fast, it is a crucial meal that gives the body and brain fuel. Protein and carbs are generally found in breakfast foods such eggs, bacon, oatmeal, toast, pancakes, yoghurt, cereal, and fruits. A nutritious breakfast may boost energy levels, jump-start the metabolism, and enhance focus and memory. A nutritious breakfast can also aid in lowering mid-day snacking and preventing overeating in the evening. Make sure to incorporate breakfast in your daily schedule since eating breakfast is crucial to living a healthy lifestyle.

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Answer:

1, 210.

2. 72 minutes.

3. 42 minutes

4. 2 inches.

5. 3 cents.

Step-by-step explanation:

1. First, divide 240 by 8, which will get you 30, now multiply 30 by 7 and you will get 210 which is your answer.

2.  Your keyword here is times. So you know you will multiply. So just multiply 8 and 9, and your product is 72, so 72 minutes.

3. Multiply 3 1/2 by 12, or convert your fraction to a decimal, which in decimal form is 3.50. Your product would be 42.

4. Multiply 1/7 by 14, you should get 14/7, which is an improper fraction. Divide 14 by 7 and you will get 2 inches.

5. So here you have to find the unit rate. Divide the price by the quantity.

4.86/16.2=0.297530865

Round the number up, which would be 3. So it would be 3 cents

Hope this helps :)

The solutions to sin(x/2) + cos(x) - 1 = 0 is option B: {60°, 300°}.

To solve sin(x/2) + cos(x) – 1 = 0, we can use the identity as follows:

Cos(2a) = 1 - 2sin²

(a) to rewrite cos(x) as 1 - 2sin²(x/2).

Substituting this into the original equation gives us sin(x/2) + (1 - 2sin²(x/2)) - 1 = 0.

Simplifying this expression yields 2sin⁴(x/2) - 2sin²(x/2) = 0 1.

Factoring out sin²(x/2), we get:

sin²(x/2[(2sin² (x/2) - 2] = 0.

Therefore, either sin²(x/2) = 0 or sin²(x/2) = 1/ √(2).

Solving these equations gives us {0, 180°, 360°} and {45°, 135°, 225°, 315°} respectively. However, we need to check which of these solutions satisfy the original equation.

Substituting each solution into the original equation shows that only {60°, 300°} satisfy it 21. Therefore, option b is correct.

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The number 31 is divisible by one and itself, which is the sign of prime number and hence 31 is a prime number.

As per the definition, a number to become prime number must follow two conditions. These are:

In other words, point 2 can be understood as it should not be divisible by any number. It remains the number to be divisible by one and itself.

We can see that 31 is the number which can be divided by any number to leave zero remainder. Hence, 31 is a prime number. Apart from this, 41, 97 and many other numbers are examples of prime number.

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The equation of a plane that passes through a point and is parallel to the YZ plane can be written as:

x = constant

When a plane is parallel to the YZ plane, it means that its normal vector is perpendicular to the X-axis. Since the normal vector is perpendicular to the X-axis, the X-coordinate of any point on the plane remains constant.

To find the equation of the plane, we need a point that lies on the plane. Let's assume the point (a, b, c) lies on the plane.

Since the plane is parallel to the YZ plane, the X-coordinate of any point on the plane will remain constant. Therefore, we can say that x = a.

The equation of the plane becomes:

x = a

The equation of a plane that passes through a point and is parallel to the YZ plane is given by the equation x = a, where a is the constant X-coordinate of any point on the plane. This equation represents all points where the X-coordinate remains constant, while the Y and Z coordinates can vary freely.

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Answer:

Multiply by the inverse.

Answer: 45

Step-by-step explanation:

(15)/(1/3) is the same thing as multiplying the top (numerator), by the inverse of the bottom (denominator).

So we have the following: \(\frac{15/1}{1/3}\)

Taking the inverse means flipping the fraction. The inverse of \(\frac{1}{3}\) is \(\frac{3}{1}\). So we can keep the top, and multiply by the inverse.

\(\frac{15}{1}\) X \(\frac{3}{1}\) = 15 x 3 = 45.

Does this make sense?

We can use the equation for the angle of the bright fringes in a double-slit experiment. The answer is D. 15.1o.

where θ is the angle of the bright fringe, m is the order of the fringe (in this case, m=3), λ is the wavelength of the incident light, and d is the distance between the slits.

Plugging in the given values, we get:

sinθ = (3)(5.04x10^-7m)/(5.82x10^-5m) = 0.260

Taking the inverse sine of both sides, we get:

θ = sin^-1(0.260) = 15.1o

Therefore, the answer is D. 15.1o.

To find the angle of the 3rd order bright fringe, we can use the formula for the double-slit interference pattern:

mλ = d * sinθ

where m is the order number (3 in this case), λ is the wavelength of the incident light (5.04x10^-7 m), d is the distance between the slits (5.82x10^-5 m), and θ is the angle we want to find.

First, rearrange the formula to solve for the angle:

sinθ = (mλ) / d

Now, plug in the given values:

sinθ = (3 * 5.04x10^-7 m) / 5.82x10^-5 m

Calculate the result:

sinθ = 0.02594

Now, find the inverse sine (arcsin) of the result to get the angle:

θ = arcsin(0.02594) ≈ 1.49°

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Answer:

D Find half of 24 to calculate the radius. Then square the radius and multiply the result by π.​

Step-by-step explanation:

Given that circumference of circle is: \(24 \pi\)

The formula for circumference of circle is:

\(C = 2\pi r\)

Comparing both formulas, we get

\(24\pi = 2\pi r\\24 = 2r\\r = \frac{24}{2}\\r = 12\)

The radius is obtained by dividing 24 by 2.

We also know that the area of circle is:

\(A = \pi r^2\)

The radius is being squared and then multiplied by pi to get the area.

Hence,

The correct answer is:

D Find half of 24 to calculate the radius. Then square the radius and multiply the result by π.​

Answer:

28

hope this answer helps you...

\(\huge\text{Hey there!}\)

\(\mathsf{7 + 6 - 9 \times(-2) + (-3)}\)

\(\mathsf{7 + 6 = \bf13}\)

\(\textsf{\bf 13}\textsf{ - 9 (-2) - 3}\)

\(\mathsf{9(-2) = \bf -18}\)

\(\textsf{13 - \bf(-18) }\textsf{- 3}\)

\(\mathsf{13 + 18 = \bf 31}\)

\(\mathsf{\bf 31}\textsf{ - 3}\)

\(\mathsf{\bf 28}\)

\(\boxed{\boxed{\large\text{Answer: \huge \bf 28}}}\huge\checkmark\)

\(\text{Good luck on your assignment and enjoy your day!}\)

~\(\frak{Amphitrite1040:)}\)

Answer:

24

Step-by-step explanation:

2

An annual payment is found approximately $617.34. The correct option is e.. $617.34.

To find the size of your payments, you can use the formula for calculating the equal installments on a loan.

First, calculate the annual payment by dividing the borrowed amount ($2,000) by the present value factor of an annuity due with 4 periods at a 9% interest rate.

Using a financial calculator or spreadsheet, the present value factor of an annuity due with 4 periods at 9% interest rate is 3.2403.

Dividing $2,000 by 3.2403 gives us an annual payment of approximately $617.34.
Therefore, the correct answer is e. $617.34.

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Answer:

To find the percent markup, we can use the following formula:

Markup = (selling price - cost price) / cost price * 100

We know that the department store buys 100 shirts at a cost of $1,200 and sells them at a selling price of $20 each.

Markup = ($20 - $12) / $12 * 100

Markup = $8 / $12 * 100

Markup = 2/3 * 100

Markup = 67%

So the percent markup is 67%.

Answer:

x = 12

y = 9

z = 11

Step-by-step explanation:

so, let's just do all the calculations in there :

(3×5)⁴ = 3⁴×5⁴

(2×3)⁵ = 2⁵×3⁵

(2×5)⁷ = 2⁷×5⁷

multiplying all 3 terms is then

3⁴×5⁴×2⁵×3⁵×2⁷×5⁷

more let's "group" and combine these terms based on the bases of the power operations, as we need to get an expression showing 2, 3 and 5 with their powers.

so, for the base of 2 we have

2⁵×2⁷ = 2¹²

for the base of 3 we have

3⁴×3⁵ = 3⁹

fire the base of 5 we have

5⁴×5⁷ = 5¹¹

so we get

2¹² × 3⁹ × 5¹¹

=>

x=12

y=9

z=11

The cost price that was used to get the book is: R.S 172

The parameters given are:

Marked Price: M.P = RS. 250

Discount allowed = 10%

The formula to find the selling price here will be:

S.P = M.P * (100 - Discount)/100

Thus:

S.P = 250 * (100 - 14)/100

S.P = 250 * 0.86

S.P = R.S 215

Since the profit is 25%, then we have:

Cost Price = (S.P * 100)/(100 + Gain%)

Cost price = (215 * 100)/(100 + 25)

Cost Price = 21500/125

Cost price = R.S 172

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Answer:

h_max = 12.56 units

(the exercise does no specify the units)

Step-by-step explanation:

You have the following function:

\(h(t)=-16t^2+6t+12\)    (1)

To calculate the maximum height reach by you, you first derivative the function h(t) respect to t:

\(\frac{dh(t)}{dt}=-32t+6\)

Next, you equal the result of the derivative to zero and you obtain t:

\(-32t+6=0\\\\t=\frac{6}{32}=\frac{3}{16}\)

Then, you replace this value of t in the equation (1) and you obtain the maximum height:

\(h(t)=-16(\frac{3}{16})^2+6(\frac{3}{16})+12\)

\(h(t)=12.56\)

hence, the maximum height is 12.56 units

Answer:

1.89*10^1

Step-by-step explanation:

move the decimal once to the left  

Answer:

1.89 × 10^1

Step-by-step explanation:

I think im right

If i am can i get brainly crown pls?

:)

Answer:

number of cats

\(90 \times \frac{4}{15} \\ 24cats\)

The term coefficient of 7y in the equation 9+7y is 7.

A coefficient in mathematics is a multiplicative factor in a polynomial term, a series term, or an expression. It is often a number, but it can also be any expression. They may also be referred to as parameters if the coefficients are variables in and of themselves. A coefficient is an integer that is either multiplied by the variable it is associated with or put alongside the variable. A coefficient is, in other words, the numerical component of a phrase that contains both constants and variables.

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Dot product = (1 * 14) + (7 * -2) = 14 - 14 = 0 . The dot product is zero, the vectors [1, 7] and [14, -2] are normal to each other.

The dot product of two vectors is found by multiplying their corresponding components and then summing them up.

For the given pair of vectors [1, 7] and [14, -2], the dot product is calculated as follows:

Dot product = (1 * 14) + (7 * -2) = 14 - 14 = 0

If the dot product of two vectors is equal to zero, it means that the vectors are orthogonal or normal to each other.

In this case, since the dot product is zero, the vectors [1, 7] and [14, -2] are normal to each other.

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The error in the work shown is in the second step of the calculation. Let's break down the incorrect step and identify the mistake:

3vx(y^12)/4^3 = 3vx^3(y^12)/3v4^3

The error occurs when simplifying the expression under the square root. The expression (y^12) is incorrectly simplified to (y^3)^4.

The correct simplification should be:

3vx^3(y^12)/3v4^3 = 3vx^3(y^3)^4/3v4^3

The mistake is that (y^12) cannot be simplified to (y^3)^4. In this step, the exponent should be divided by 3, not raised to the power of 4.

The correct simplification should be:

3vx^3(y^12)/3v4^3 = 3vx^3(y^4)/3v4^3

Therefore, the final simplified expression should be xy^4/4, instead of xy^3/4.

That m is odd, then the integers between 1 and m − 1 equals 2−1 mod m it must be k=1 and n = 1+m2.

Given an integer m, two integers a and b are congruent modulo m if

m| (a − b).

We write a ≡ b (mod m).

Zero, a positive natural number, or a negative integer denoted by a minus sign are all examples of integers. The inverse additives of the equivalent positive numbers are the negative numbers.

I will also sometimes say equivalent modulo m. Notation note: we are using that "mod" symbol in two different ways.

Let n be the inverse of 2( mod m)

Where 1<n<m−1

2n≡1 ( mod m)

⇒ 2n=1+mk

Since m is odd then m=2l+1

⇒ 2n=1+(2l+1)k

Then solve for n(mod m) as that would put it within 1<n<m−1.

As an aside, we only care for 1≤n≤m−1, we don't care about strict inequalities. Indeed, if m=3 then you'd have a problem as there aren't even any integers strictly between 1 and 3−1

Supposing that m = \(2l+1\) then \(2*(l+1)\) = \(2l + 2\) = m+1

We want integer n=1+mk2 between 1 and m−1.

Since m is odd, we need k to be odd, in order for 1+mk to be divisible by 2 so n is an integer.

If k≥3 then 1+mk2>m−1.

If k≤−1 then 1+mk2<1.

So it must be k=1 and n = 1+m2.

Therefore,

That m is odd, then the integers between 1 and m − 1 equals 2−1 mod m it must be k=1 and n = 1+m2.

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Answer:

  x - 6

Step-by-step explanation:

You want the algebraic equivalent of "x decreased by 6."

If a quantity is decreased by 6, it means 6 has been taken away. You might have seen this as "__ take away 6." It means 6 has been subtracted.

We represent the subtraction of 6 using a minus sign.

  x - 6

__

Additional comment

Other math symbols are associated with different wording:

Answer:

44 : 110

Step-by-step explanation:

→ Find the sum of the ratios

2 + 5 =7

→ Divide by 154

154 ÷ 7 = 22

→ Scale it up by multiplying each side of the ratio by 22

44 : 110

Over the last half-century, time-use data has shown that married American women have significantly reduced their housework time, cutting it roughly in half.

This change can be attributed to various factors such as advancements in home appliances, shifting gender roles, and increased participation of women in the workforce. On the other hand, men have gradually increased their contributions to housework during this period.
This shift in housework responsibilities can be attributed to societal changes that promote a more equitable distribution of domestic tasks between partners. As gender norms have evolved, men are increasingly taking on roles that were once predominantly associated with women, leading to a more balanced approach to housework within households. Additionally, the rise in dual-income families has necessitated a more equal division of domestic responsibilities.
In summary, over the past 50 years, married American women have seen a considerable decrease in housework time, while men have increased their contributions. This change reflects evolving gender roles and societal expectations, promoting a more equal division of labor within households.

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I may be incorrect.

Answer: 33.333333333333%

Step-by-step explanation:

The difference is 1/3. Twelve by three is four. Nine by three is three. The different from 9 to 12 is 1/3.

The independent variable is the number of snacks purchased, denoted by "s", and the dependent variable is the total cost, denoted by "$". The relationship is linear, with $ = 3s + 15.

A rate is a measure of the amount of change of one quantity with respect to another quantity, often expressed as a ratio or a fraction. It tells us how much one quantity changes per unit of time or per unit of another quantity. Examples of rates include speed, velocity, acceleration, interest rate, and growth rate

In the given table, the independent variable is the number of snacks purchased, denoted by "s", and the dependent variable is the total cost, denoted by "$".

The relationship between the number of snacks purchased and the total cost is a linear relationship, where the total cost increases by $3 for every additional snack purchased.

We can write the equation for the relationship between the two variables as:

$ = 3s + 15

Here, the constant term 15 represents the fixed cost or the cost of buying zero snacks. The coefficient 3 of the independent variable "s" represents the additional cost incurred for each additional snack purchased.

Therefore, The independent variable is the number of snacks purchased, denoted by "s", and the dependent variable is the total cost, denoted by "$". The relationship is linear, with $ = 3s + 15.

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Answer:

160.58

Step-by-step explanation:

Answer:

= -10.03 if u subtract if u add its =160.58

Step-by-step explanation: