Pam started watching a movie at 2:53 P.M. The movie was 1 hour and 52 minutes long. After the movie, Pam rode her bike for 46 minutes

Answer:

-247/7

Step-by-step explanation:

-40+8-23/7

=-40+(56-23)/7

=-40+33/7

=(-280+33)/7

=-247/7

There are approximately 160 acres in a lot that is 1/2 mile by 1/2 mile.

To find the number of acres in a lot, you can use the following formula:

Number of acres = (length in feet) x (width in feet) / 43,560

First, convert the length and width from miles to feet. There are 5,280 feet in a mile, so:

Length in feet = 1/2 mile x 5,280 feet/mile = 2,640 feet
Width in feet = 1/2 mile x 5,280 feet/mile = 2,640 feet

Next, plug these values into the formula:

Number of acres = (2,640 feet) x (2,640 feet) / 43,560 = 174,240,000 / 43,560 = 160 acres

Therefore, there are approximately 160 acres in a lot that is 1/2 mile by 1/2 mile.

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Answer:

MATHMATICS - MTHMTCS

SEPTEMBER - SPTMBR

ANCILLARY - NCLLR

PTERODACTYL-PTRDCTL

Hopefully this helps <3

The exact value of the expression cos(255°) is (-√6 + √2)/4. We can use the addition formula for cosine, which states that cos(a + b) = cos(a)cos(b) - sin(a)sin(b). We can use this formula with a = 240 degrees and b = 15 degrees, since 240 + 15 = 255 degrees.

So, cos(255 degrees) = cos(240 degrees + 15 degrees) = cos(240 degrees)cos(15 degrees) - sin(240 degrees)sin(15 degrees)
Using a unit circle or trigonometric ratios, we can find that cos(240 degrees) = -1/2 and sin(240 degrees) = -sqrt(3)/2, while cos(15 degrees) = sqrt(6) + sqrt(2)/4 and sin(15 degrees) = sqrt(6) - sqrt(2)/4.
Substituting these values, we get:
cos(255 degrees) = (-1/2)(sqrt(6) + sqrt(2)/4) - (-sqrt(3)/2)(sqrt(6) - sqrt(2)/4)
= (-sqrt(6)/2 - sqrt(3)/8) - (-sqrt(18)/2 + sqrt(6)/8)
= -sqrt(6)/2 - sqrt(3)/8 + sqrt(18)/2 - sqrt(6)/8
Combining like terms, we get:
cos(255 degrees) = (sqrt(18) - sqrt(6))/2 - sqrt(3)/8
Therefore, the exact value of cos(255 degrees) is (sqrt(18) - sqrt(6))/2 - sqrt(3)/8.

Using the addition formula for cosine and simplifying the expression to find the exact value of cos(255 degrees). We will use the subtraction formula to find the exact value of the expression cos(255°). The subtraction formula is as follows: cos(A - B) = cos(A)cos(B) + sin(A)sin(B)
First, we will break down 255° into two known angles:
255° = 270° - 15°
Now we can apply the subtraction formula:
cos(255°) = cos(270° - 15°) = cos(270°)cos(15°) + sin(270°)sin(15°)
Next, we will find the values of cos(270°), cos(15°), sin(270°), and sin(15°):
cos(270°) = 0
cos(15°) = (√6 + √2)/4
sin(270°) = -1
sin(15°) = (√6 - √2)/4
Now we can substitute the values back into the formula:
cos(255°) = (0)(√6 + √2)/4 + (-1)(√6 - √2)/4
cos(255°) = (-√6 + √2)/4

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Alex has $15.78 and Rick has $12.15 money.

According to the question,

We have the following information:

Alex had $3.63 more than Rick. Together they had $27.93.

Let's take the money Rick has to be $x.

Now, we have the following expression for the money Alex has:

3.63+x

Now, we have:

x+3.63+x = 27.93

2x+3.63 = 27.93

Subtracting 3.63 from both the sides:

2x = 27.93-3.63

2x = 24.3

Dividing by 2 on both the sides:

x = 24.3/2

x = $12.15

So, Rick has $12.15.

Now, the money Alex has:

3.63+12.15

$15.78

Hence, Alex has $15.78 and Rick has $12.15 money.

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Answer:

reflection in the y- axis

Step-by-step explanation:

under a reflection in the y- axis

a point (x, y ) → (- x, y )

B (5, - 7 ) → B' (- 5, - 7 ) ← is a reflection in the y- axis

Answer:

The answer is x=4.

Step-by-step explanation:

Have a great day!

Answer:

x= 27

y= 18

Step-by-step explanation:

Therefore, the sum of the distances traveled by the tips of both hands in one $24$-hour period is approximately $15.708$ meters.

To start, we need to find the length of each hand. The minute hand measures $10$ cm, which is equivalent to $0.1$ meters, and the hour hand measures $5$ cm, or $0.05$ meters.
Now, let's consider the distance each hand travels in one hour. The minute hand travels the circumference of the clock face, which has a diameter of $20$ cm or $0.2$ meters. The formula for the circumference of a circle is $2\pi r$, so the distance traveled by the minute hand in one hour is $2\pi(0.1) = 0.2\pi$ meters.
The hour hand travels the circumference of a circle with a diameter of $10$ cm or $0.1$ meters. Since the hour hand takes $12$ hours to complete one full revolution around the clock face, it travels $\frac{1}{12}$ of the circumference in one hour. Therefore, the distance traveled by the hour hand in one hour is $\frac{1}{12} \cdot 2\pi(0.05) = \frac{\pi}{120}$ meters.
To find the total distance traveled by both hands in $24$ hours, we can add up the distance traveled by each hand in one hour and multiply by $24$.
Total distance = $24\left(0.2\pi + \frac{\pi}{120}\right) \approx 15.708$ meters
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Answer:

13º

Step-by-step explanation:

25-12=13

Answer:

The temperature will be 13 degrees.

Step-by-step explanation:

Take the current temperature and add 25 degrees

-12+25

25-12

23

The temperature will be 13 degrees.

Answer:

9

Step-by-step explanation:

Answer:

6x+16+20=90

6x+36=180

6x=180-36

6x=144

x=144/6

x=26°

Answer:

r = sq rt [v/(h x Pi)]

r = 1.69

Step-by-step explanation:

v=h x Pi x r^2

r^2 = v/(h x Pi)

r = sq rt [v/(h x Pi)]

r = sq rt [67.57 / (7.5 x 3.14)]

r = sq rt 2.8692

r = 1.69

Answer:

19

Step-by-step explanation:

Range is solved by subtracting the lowest and highest numbers which int his case is 70 and 89 so that make 19

There are 19 students on the bus total of $1668 was collected from 70 passengers

Let x be the number of students on the bus.

Then, the number of adults is 70 - x.

We know that the bus fare for each adult is $26 and the fare for each student is $18, thus we can write the equation:

18x + 26(70 - x) = 1668

Simplifying the above equation, we get:18x + 1820 - 26x = 1668-8x = -152x = 19

Therefore, the number of students on the bus is x = 19.

Therefore, there are 19 students on the bus.

To summarize, we used the equation 18x + 26(70 - x) = 1668 to solve the problem.

This is because we needed to determine the number of students on the bus given that the total fare collected from 70 passengers was $1668.

Therefore, the required answer is there are 19 students on the bus.

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The principal stresses are those that act on the principal planes. There are three principal stresses on a point under force.  

The principal stresses are those that act on the principal planes. The plane bearing the greatest normal stress is referred to as the principal plane, and the stress acting on it is referred to as the principal stress.

When a force is applied on an inclined plane, the force can be divided into two subparts, the first component of the force is perpendicular to the plane and is known as the normal force, while the second component of the force is parallel to the plane and is known as the shear stress.

The principal stresses at a point can be found using the following formulas, therefore, the principal stresses will be,

\({\sigma}'_{xx}=\sigma_{xx}cos(2\theta)+\sigma_{yy}sin(2\theta)+2\tau_{xy}sin(\theta)cos(\theta)\)

\({\sigma}'_{yy}=\sigma_{xx}sin(2\theta)+\sigma_{yy}cos(2\theta)-2\tau_{xy}sin(\theta)cos(\theta)\)

\({\tau}'_{xy}=(\sigma_{yy}-\sigma_{xx})sin\theta cos\theta+\tau_{xy}(cos2\theta-sin2\theta)\)

Hence, there are three principal stresses on a point under force.

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Step-by-step explanation:

parellogram

two opposite sides are equal

opposite angles add up to 180°

This refers to the ratio between the scale of a given original object and a new object. It is its representation but of a different size (bigger or smaller). For example, if we have a rectangle of sides 2 cm and 4 cm, we can enlarge it by multiplying each side by a number, say 2.

Solving for the area and scale factor we have:

L= 5 units

W = 2 units

A = (5 x 2)

A = 10 square units.

A= (Scale factor of  L * W)*  L * W

= (2 x 2 x 5 x 2)

A = 40 square units.

A= (Scale factor of  L * W)*  L * W

= (3 x 3 x 5 x 2)

A= 90 square units

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First, by solving for y, convert the equation of the given line into slope-intercept form y=mx+c .You obtain the slope of the equation as m. Since the slopes of perpendicular lines are negative reciprocal, the slope of the line we're looking is the negative reciprocal of the perpendicular equation.

By entering the supplied point into the formula y = mx + b and solving for b, we arrive at the value of b. Consequently, the line's equation is formed.

A line's slope in mathematics is defined as the ratio of the change in the y coordinate to the change in the x coordinate.

Both the net change in the y-coordinate and the net change in the x-coordinate are denoted by Δy and Δx, respectively.

m = y/x = y/x = change in y/change in x

where "m" represents a line's slope.

Additionally, the slope of the line may be shown as

tan θ = Δy/Δx

A line's slope often indicates the steepness and direction of the line.

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m = y/x = y/x = change in y/change in x

where "m" represents a line's slope.

Additionally, the slope of the line may be shown as

tan θ = Δy/Δx

Answer: same bro

Step-by-step explanation:

Answer:

So basically the hypotenuse will be the side directly opposite from the right angle (the square marked on the triangle), it will always be the longest side

the "opposite" will be the side directly across from the curved angle marked

the "adjacent" will be the side that the curved angle touches, i.e. the one "next to it"

hope this helped!

Step-by-step explanation:

^

Answer:

The answer is explained below

Step-by-step explanation:

The question is not complete, the complete question is Suppose you revolve the plane region completely about the given line to sweep out a solid of revolution. Describe the solid. Then find its surface area in terms of pi.

i) about the y axis

ii) about the x axis

Also the image is attached below.

Answer:

i) about the y axis

If it is revolved about the y axis, the solid produced is a cone with a radius of of 4 units (r = 4) and a height of 3 units (h = 3). The surface area of the cone is:

Surface area = πr (r + √(r² + h²)) = π × 4 (4 + √(4² + 3²)) = 4π (4 + √25) = 4π (4 + 5) = 4π × 9 = 36π unit²

ii) about the x axis

From the image attached, If it is revolved about the x axis, the solid produced is a cone with a radius of of 3 units (r = 3) and a height of 4 units (h = 4). The surface area of the cone is:

Surface area = πr (r + √(r² + h²)) = π × 3 (3 + √(4² + 3²)) = 3π (3 + √25) = 3π (3 + 5) = 3π × 8 = 24π unit²

Answer:

question 3= c     question 4= a

Step-by-step explanation:

This is because when there is no correlation, the variation in y cannot be explained by the variation in x, leaving a lot of room for error. the error variance for the linear model

a) If the correlation between x and y is 1, it means that the two variables have a perfect positive linear relationship. In this case, the error variance for the linear model would be 0. This is because when there is a perfect correlation, all the variation in y can be explained by the variation in x, leaving no room for error. Therefore, the error variance would be 0.

b) If the bet correlation ween x and y is 0, it means that the two variables have no linear relationship. In this case, the error variance for the linear model would be the sum of the variances of x and y. This is because when there is no correlation, the variation in y cannot be explained by the variation in x, leaving a lot of room for error. Therefore, the error variance would be the sum of the variances of x and y, which is 49+4=53.

a) If the correlation between x and y is 1, the value of the error variance for your linear model would be 0. This is because a correlation of 1 indicates a perfect positive linear relationship between x and y, meaning there is no error or deviation from the predicted values of y based on the linear model.

b) If the correlation between x and y is 0, the value of the error variance would be equal to the variance of y. This is because a correlation of 0 indicates that there is no linear relationship between x and y, meaning that the linear model provides no predictive value for y. In this case, the error variance is equal to the variance of y, which can be calculated by squaring the standard deviation of y (2^2 = 4).

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Answer:

h = 504, k = 65, t = -1

Step-by-step explanation:

56 = h/9

h = 56 x 9

h = 504

k/5 - 10 = 3

k/5 = 3 + 10

k/5 = 13

k = 13 x 5

k = 65

3t + 5 = 2

3t = 2 - 5

3t = -3

t = -3/3

t = -1

Answer:

rise over run

Step-by-step explanation:

Answer:

What?

Step-by-step explanation:

D.

Answer: $450

Step-by-step explanation:

We can form an equation representing the problem. The question is essentially asking 60% of what is equal to $270. If we define that what as a variable 'x', we get the following:

\(\frac{60}{100} *x=270\)

\(\frac{60x}{100} =270\)

Multiply both sides by 100:

\(\frac{60x}{100} *100=270*100\)

\(60x=27,000\)

Divide both sides by 60 to solve for the value of 'x':

\(x=\frac{27,000}{60} =450\)

Answer is 450 bucks

We can check this answer by taking 60% of $450. In principal, this should return the discount of $270.

\(\frac{60}{100} *450=270\)

Yup, it checks out

Answer:

$450

Step-by-step explanation:

270÷6 so will know what is 10%

=45

45×10=450

then to make sure that it is is the right answer divide 450 in half=225+the 10% of 450 which is 45 = 270

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