The time Pam got home is 5:25 pm.
How to calculate timeRemember that 60 minutes is equivalent to 1 hour. When adding minutes together, when the minutes exceeds 60, convert to an hour.
How to determine the time Pam got homeIn order to determine the time she got home, add the time she used to watch the movie , to the time she used to ride her bike home to the time the movie started.
2:53 + 1:52 + 46 = 5:25 pm
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Answer all the four q
Answer:
MATHMATICS - MTHMTCS
SEPTEMBER - SPTMBR
ANCILLARY - NCLLR
PTERODACTYL-PTRDCTL
Hopefully this helps <3
Someone able to solve this ? Please
Give the most specific name for the quadrilateral based off of the picture. Please don’t post random things thanks
Step-by-step explanation:
parellogram
two opposite sides are equal
opposite angles add up to 180°
When solving this system of equations by elimination, which could be the resulting equation when a variable has been eliminated?
Please help.
Is algebra.
Answer:
question 3= c question 4= a
Step-by-step explanation:
Here is a rectangle with length 5 units and width 2 units.
1. What is the area of the rectangle?
2. Dilate rectangle ABCD from point A by a scale factor of 2. Calculate the area of the image.
3. Dilate rectangle ABCD from point A by a scale factor of 3. Calculate the area of the image.
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
The area of the rectangle =L * WA = (5 x 2)
A = 10 square units.
If the rectangle is dilated from point A by a scale factor of 2, the area of the image:A= (Scale factor of L * W)* L * W
= (2 x 2 x 5 x 2)
A = 40 square units.
If the rectangle is dilated from point A by a scale factor of 3, the area of the image is:A= (Scale factor of L * W)* L * W
= (3 x 3 x 5 x 2)
A= 90 square units
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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.
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
-1/5(-2 1/4)=
Somebody pleaseee helppp meeeee!
The speeds (in miles per hour) of motorists ticketed during one day on a five-mile stretch of highway are
listed below.
80, 70, 89, 85, 85, 75, 72, 73, 80, 83, 86, 88, 88, 70, 89, 74, 75, 84, 73, 71
The mean speed is 79.5 mph with a standard deviation of 6.8 m.
If the police decide to only ticket people going 3 standard deviations or more above the standard deviation, what would the range be?
Your answer:
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
How do you find the slope of a perpendicular line with an equation and point?
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
approximately how many acres are there in a lot 1/2 mile by 1/2 mile?
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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given b( 5, -7), under which reflection is B' (-5, -7)?
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
Simplify - 40 |+8-23/7
Answer:
-247/7
Step-by-step explanation:
-40+8-23/7
=-40+(56-23)/7
=-40+33/7
=(-280+33)/7
=-247/7
how do you find a slope on a graph
Answer:
rise over run
Step-by-step explanation:
It will be – 12º tonight. The weatherman predicts it will be 25º warmer
by noon tomorrow. What will the temperature be by noon tomorrow?
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.
the minute hand of a $12$-hour clock measures $10$ cm from its tip to the center of the clock face, and the hour hand from its tip to the center of the clock face is $5$ cm. what is the sum of the distances, in meters, traveled by the tips of both hands in one $24$-hour period? express your answer to the nearest thousandth of a meter.
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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Consider the line 9x+6y= -3.
What is the slope of a line perpendicular to this line?
What is the slope of a line parallel to this line?
Answer:
x= 27
y= 18
Step-by-step explanation:
imagine you proposed a linear relationship between x and y. x is distributed with a mean of 3 and a standard deviation of 7 and y is distributed with mean of 6 and a standard deviation of 2. answer the two questions below based on the information above. (4 points; note: you do not need the raw scores to answer the questions. you have all of the information you need) a) if the correlation between the x and y is 1 what would the value of error variance for your linear model be? why? b) if the correlation between x and y is 0 what would the value of error variance be? why?
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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56 = h/9
k/5 - 10 = 3
3t + 5 =2
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
I am the worst at math so if I could get a simple explanation it would be great
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:
^
Bus fares from Amherst to Mount Mohawk are $26 for adults and $18 for students. How many students are on the bus if a total of $1668 was collected from 70 passengers
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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What is the value of x in the equation 1.5(x + 4) – 3 = 4.5(x - 2)?
Answer:
The answer is x=4.
Step-by-step explanation:
Have a great day!
A coffee can in the shape of a cylinder has a Volume of V = 67.57 in. Find the forumla that gives the radius of the coffee can, r, in terms of the volume V and height h. If the height is 7.5 inches, what is the radius of the coffee can?
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
Determine the normal and shear stress on plane a, determine the principal stresses at the point, determine the maximum shear stress at the point, draw the principal element
The principal stresses are those that act on the principal planes. There are three principal stresses on a point under force.
What is principal stress?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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Please help asap, I'm so confused lol.
Raquel bought an insanely expensive espresso machine at a 60% discount. If the discount saved her $270, what was the machine's original price?
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
IF THIS HELPED YOU PLS MARK ME BRAINLIEST I NEED IT
BRAINLIST QUESTION
what is the value of x?
Answer:
9
Step-by-step explanation:
Answer:
6x+16+20=90
6x+36=180
6x=180-36
6x=144
x=144/6
x=26°
please help me......
write in y=mx+b form
Answer:
What?
Step-by-step explanation:
D.
use an addition or subtraction formula to find the exact value of the expression, as demonstrated in example 1 cos 255 degree
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 had $3.63 more than Rick. Together they had $27.93. How much money did both Alex and Rick have?
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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Find the side length x. Round answer to the nearest hundredth.