Answer:
B+A=180 degrees
B=105 degrees
B and D=105 degrees
A and C=75 degrees
Answer:
Given.. hope it helps!
Step-by-step explanation:
It is given that angle A is 75°
The angle diagonally opposite to angle A, which is angle C, is also equal
So angle C= 75°
(cuz opposite angle in a parallelogram are equal)
Also,
In a parallelogram, the adjacent angles (angles next to each other add up to 180)
So angle A + angle B = 180
we know angle A
so,
75+B=180
B=180-75
= 105°
Same way angle C + angle D are adjacent so they add up to 180
C+D=180
we know what is C
So,
75+D=180°
D=180-75
= 105°
or
Sound can travel incredibly quickly: 1 mile in about
1
12
of a minute. Based on that, what is the approximate speed of sound?
Simplify your answer and write it as a proper fraction, mixed number, or whole number.
The approximate speed of sound will be 12 miles per minute.
What is speed?The distance covered by the particle or the body in an hour is called speed. It is a scalar quantity. It is the ratio of distance to time.
We know that the speed formula is given as,
Speed = Distance/Time
Sound can travel incredibly quickly: 1 mile in about 1/12 of a minute.
Based on that, the approximate speed of sound will be
Speed = 1 / (1/12)
Speed = 1 x 12
Speed = 12 miles per minute
The approximate speed of sound will be 12 miles per minute.
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OMG ANSWER QUICK I WILL GIVE BRAINLYEST
Answer:
1/4
Step-by-step explanation:
K.C.F( keep, change, flip) hope this helps
In football, a punter is the player that punts (kicks) the ball. The punter wants to maximize two things: the hangtime (the time the ball is in the area) and the range of the punt. We can treat the punt as a projectile. Image the punter is standing on the 50 yard line ( 1 yard =3 feet) and kicks the ball, giving it an initial velocity of 22.0 m/s at 50
∘
above the horizontal. You can assume the kick starts at ground level and air resistance is negligible. a.) (4 points) What are the x-and y-components of the initial velocity (in m/s) ? b.) (7 points) How long is the ball in the air from the time it is kicked until it hits the ground? c.) (4 points) Does the kick go into the endzone (50 yards away from the kick) or not? (You must show your work. Remember to make sure your units are correct.)
a) The x-component of the initial velocity is approximately 14.14 m/s, and the y-component is approximately 16.91 m/s.
b) The ball is in the air for approximately 3.44 seconds.
c) The kick does not reach the endzone (45.72 m) as the range of the kick is approximately 48.64 m.
a) To find the x- and y-components of the initial velocity, we can use trigonometry. The initial velocity is given as 22.0 m/s at an angle of 50 degrees above the horizontal.
The x-component of the initial velocity (Vx) can be calculated using:
Vx = V * cos(θ)
where V is the magnitude of the initial velocity and θ is the angle of the initial velocity.
Vx = 22.0 m/s * cos(50°) ≈ 14.14 m/s
The y-component of the initial velocity (Vy) can be calculated using:
Vy = V * sin(θ)
Vy = 22.0 m/s * sin(50°) ≈ 16.91 m/s
Therefore, the x-component of the initial velocity is approximately 14.14 m/s, and the y-component of the initial velocity is approximately 16.91 m/s.
b) The time the ball is in the air can be found using the y-component of the motion. The ball is kicked from ground level, so we can use the equation:
y = y0 + Vy * t - (1/2) * g * t^2
where y0 is the initial vertical position (0 m), Vy is the initial vertical velocity (-16.91 m/s), g is the acceleration due to gravity (-9.8 m/s^2), and t is the time.
Setting y equal to 0 and solving for t, we get:
0 = 0 + 16.91 * t - (1/2) * 9.8 * t^2
This is a quadratic equation, and solving it gives us two solutions: t = 0 and t ≈ 3.44 s. We discard the t = 0 solution as it represents the initial time.
Therefore, the ball is in the air for approximately 3.44 seconds.
c) To determine if the kick reaches the endzone (50 yards = 45.72 m away), we can calculate the horizontal distance traveled (range) using the x-component of the motion:
Range = Vx * t
Range = 14.14 m/s * 3.44 s ≈ 48.64 m
Since the range of the kick is less than the distance to the endzone (45.72 m), the kick does not reach the endzone.
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A tractor and a scooter are in a race.
Write expressions, in terms of t, for each vehicle so that
the vehicles start separated and meet at 10 seconds.
Tractor Position Expression
Try It
Scooter Position
Expression
The expressions, in terms of t, for each vehicle so that the vehicles start separated and meet at 10 seconds is:
Tractor's position = Vt * t
Scooter's position = Vs * t
What is the expression?Let's assume that the starting point for both the tractor and the scooter is at "0". We can then write the expressions for their positions in terms of time "t" as follows:
For the tractor:
Tractor's speed = Vt
Tractor's position = Vt * t
For the scooter:
Scooter's speed = Vs
Scooter's position = Vs * t
Now, as both the vehicles meet at 10 seconds, we can write the equation:
Vt * 10 = Vs * 10
The above equation represents the position of both the vehicles at 10 seconds. If we assume the speed of the tractor and the scooter to be constant, then the equation gives us the relationship between their speeds.
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pls help if you know it. (HELP)let P and Q be two positive numbers where P>Q . Sam graphs the numbers p,q and their opposites on a number line. Which statement must be true for all values p and q? Select all that applyThe number -q is greater than the number -pThe number -p is closer to 0 than -qThe number 0 is between -p and -qThe number -q lies halfway between 0 and -pThe number q is closer to 0 than -p
What is Precession? Group of answer choices
Deviations in the circularity of the orbit
Changes in the rate of Earth's Spin
Changes in the magnitude of the angle of tilt
Changes in the orientation of the axis of rotation
Precession is a phenomenon that refers to the gradual and continuous change in the orientation of the Earth's rotational axis over long periods of time.
This shift in the orientation of the axis of rotation results in changes in the position of the celestial pole with respect to the stars, which causes a shift in the apparent position of stars over time. The precession of the Earth's axis is caused by the gravitational forces of the Sun, Moon, and other planets in the solar system.
Precession is characterized by changes in the magnitude of the angle of tilt, which causes changes in the rate of the Earth's spin. As the axis of rotation moves, it causes the length of the day to change over time. Additionally, deviations in the circularity of the orbit also affect the precession of the Earth's axis.
Precession is a significant phenomenon in astronomy and has been observed for thousands of years. It has important implications for studies of astronomy, geology, and climate change. For instance, precession affects the timing of the seasons and has a significant impact on the Earth's climate. It also affects the orientation of the Earth's magnetic field, which has important implications for navigation and communication systems.
In conclusion, precession is the gradual change in the orientation of the Earth's rotational axis, caused by the gravitational forces of the Sun, Moon, and other planets. It results in changes in the magnitude of the angle of tilt, changes in the rate of Earth's spin, and deviations in the circularity of the orbit. Precession has significant implications for various fields of study, including astronomy, geology, and climate change.
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A student answers 15 questions. 10 are correct. how many points does he score
Answer:
10/15 points is scored
Step-by-step explanation:
there are 15 questions total and he scored 10 right so that means that it is 10/15
the time needed to complete a final examination in a particular college course is normally distributed with a mean of
The probability of a student completing the final examination in less than 65 minutes is 13.45%.
The time it takes to complete a final examination in a particular college course is normally distributed with a mean of 77 minutes and a standard deviation of 12 minutes. This can be expressed mathematically as X~N(77, 12).
The probability of a student completing the final examination in less than 65 minutes can be calculated by using the Z-score formula:
Z = (x - μ) / σ
Where x = 65 minutes, μ = 77 minutes, and σ = 12 minutes.
Plugging these values into the formula, we get:
Z = (65 - 77) / 12 = -1.17
Using a Z-score table, we can find the probability of a student completing the final examination in less than 65 minutes, which is equal to 0.1345, or 13.45%. Therefore, the probability of a student completing the final examination in less than 65 minutes is 13.45%.
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0)
2) Solve the equation 9x = 7(x + 2).
A) -7
B)-1
1
D) 7
i don't get it could you please help me? also please could it be quick because I have soccer practice too
The number of cups of bananas is represented by x
The number of cups of strawberries is represented by y
Note that:
\(\begin{gathered} 1\frac{2}{25}\text{ = }\frac{27}{25} \\ 5\frac{2}{5}=\text{ }\frac{27}{5} \\ 2\frac{18}{25}=\text{ }\frac{68}{25} \\ 13\frac{3}{5}=\text{ }\frac{68}{5} \end{gathered}\)27/5 cups of strawberry is used for 27/25 cups of banana
1 cup of strawberry is used for x cups of banana
x = 27/25 ÷ 27/5
x = 27/25 x 5/27
x = 1/5
1/5 cups of banana is used for 1 cup of strawberry
Comparing the values of x with values of y in the table and writing the relationship in the form y = kx:
y = 5x
where k = 5
The constant of proportionality = 5
Rewrite as a simplified fraction.
\large{0.\overline{8} = {?}}0.
8
=?0, point, start overline, 8, end overline, equals, question mark
Answer:
\(\bold{x = \dfrac{8}{9}}\)
Step-by-step explanation:
We have to rewrite the below as simplified fraction.
\(\large{0.\overline{8} = {?}}\)
Solution:
Let \(x =0.\overline 8\) which means \(x =0.888888.......\)
Here a bar over 8 means that there the given decimal value is non terminating and there are a large numbers of 8 present after the decimal.
To solve the given non terminating decimal as fractions, we will have to eliminate the bar term from the given value.
So, we can rewrite \(x\) as:
\(x =0.8\overline8\) ......(1)
Now, let us multiply the above with 10.
\(10x = 0.8\overline 8 \times 10\\\Rightarrow 10 x= 8.\overline8\) ....... (2)
Now, let us subtract (1) from (2):
\(10x-x=8.\overline8 - 0.\overline8\\\Rightarrow 9x = 8\\\Rightarrow \bold{x = \dfrac{8}{9}}\)
So, in simplified fractions:
\(\large{0.\overline{8} = \bold{\dfrac{8}{9}}}\)
Answer:
There is no statements/info.
Step-by-step explanation:
Adela paints a mural of Mount Rushmore. She uses the scale 6 ft to 1 ft from the
actual monument to the mural. On Adela's mural, how much wider is George
Washington's mouth than his eye?
Answer: 7/6 ft or 14 in
Step-by-step explanation:
Mouth to eye ratio ==> 18:11
18/6-11/6=7/6 ft or 14 in
Parallelogram ABCD is rotated to create image A'B'C'D'.
The transformation rule that describes the rotation from the original parallelogram ABCD to the image parallelogram A'B'C'D' is (x, y) → (–y, x).
The rule that describes the transformation from the original parallelogram ABCD to the image parallelogram A'B'C'D' is (x, y) → (–y, x).
To understand this, let's apply the transformation rule to each vertex of the original parallelogram ABCD:
Point A (2, 5) becomes A' (-5, 2).
Point B (5, 4) becomes B' (-4, 5).
Point C (5, 2) becomes C' (-2, 5).
Point D (2, 3) becomes D' (-3, 2).
By applying the transformation rule, we observe that the x-coordinate of each point becomes the negative of the original y-coordinate, and the y-coordinate becomes the original x-coordinate.
This transformation is a 90-degree counterclockwise rotation about the origin (0, 0) on the coordinate plane. The image parallelogram A'B'C'D' is obtained by rotating the original parallelogram ABCD by 90 degrees counterclockwise.
Visually, this transformation can be seen as the original parallelogram being rotated around the origin, where the x-axis becomes the y-axis, and the y-axis becomes the negative x-axis.
Therefore, the transformation rule that describes the rotation from the original parallelogram ABCD to the image parallelogram A'B'C'D' is (x, y) → (–y, x).
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cual es la ecuacion perpendicular de la recta y=-2x+1 que pasa por el punto (-1,4)
y = 1/2 (x) + 4 1/2
Explanation:
ecuación de la recta: y = mx + c
la ecuación dada: y = -2x + 1
comparando ambas ecuaciones:
m = -2
c = 1
Para que la ecuación de una recta sea perpendicular a otra, la pendiente de una será el recíproco de la pendiente de otra
m = -2
recíproco de -2 = 1 / -2 = -1/2
recíproco negativo = - (- 1/2)
recíproco negativo = 1/2
El punto de la nueva línea: (-1, 4) = (x, y)
insertamos el punto y la pendiente en la fórmula de la ecuación de la línea para obtener la intersección:
y = mx + c
4 = 1/2 (-1) + c
4 = -1/2 + c
4 + 1/2 = c
4 1/2 = c
y = 1/2 (x) + 4 1/2
La ecuación de la recta perpendicular ay = -2x + 1 es y = 1/2 (x) + 4 1/2
if the diameter of a circle is 14cm What is the measure of its circumference ? find it
Answer:
\(Solution\\diameter(d)=14cm\\Now, \\Circumference=\pi d\\ =3.14*14cm\\ =43.96cm\)
Step-by-step explanation:
Hope it will help you a lot.
Answer:
Circumference = 43.98
Step-by-step explanation:
Circumference = 2 x pi x r
r= diameter/2 = 14cm/2= 7
Circumference = 2 x 3.14 x 7
Circumference = 43.98cm
The length of the rectangle is 8 feet. The area is 32 square feet. What is the width of the rectangle?
Answer:
it's four
8×4=32
Use the model below to calculate 2 3 × 3 4 2 3 × 3 4 . A rectangle is shown divided into 3 rows and 4 columns. 3 of the 4 columns are shaded blue.
Answer:
D
Step-by-step explanation:
I need this please ASAP
Answer:B vertical
Step-by-step explanation:
How many faces does a rectangular prism have? A. Six B. Five C. Eight D. Seven
Answer: A. Six
Step-by-step explanation:
The faces of rectangular prisms are the plane surfaces. In total, a prism has six faces, and they are all rectangular.
Find x. Leave answers in simplified radical form. (Step by step)
Answer:
\(\sf x = 4\sqrt{2}\)
Given:
adjacent: 4 cmhypotenuse: x cmangle: 45°using cosine rule:
\(\sf cos(x) = \dfrac{adjacent}{hypotenuse}\)
\(\sf cos(45) = \dfrac{4}{x}\)
\(\sf x = \dfrac{4}{cos(45)}\)
\(\sf x = 4\sqrt{2}\)
Solution:
Step-1: Find the missing angle.
90 + 45 + y = 180=> 135 + y = 180=> y = 180 - 135=> y = 45°Step-2: Review the following.
This triangle is an isosceles right triangle because two angles are equivalent.Two sides of the triangle must equal 4 cm.Step-3: Use Pythagoras theorem.
x² = 4² + 4²=> x² = 16 + 16=> x = √32 ≈ 5.65 cm (Using calculator)The ______ is the measure of the chance that the event will occur as a result of and experiment. mutually exclusive probability of an event complement of event a relative frequency
The probability is the measure of the chance that the event will occur as a result of and experiment. Mutually exclusive probability of an event complement of event a relative frequency.
What kind of probability is founded on the observed data?
Empirically (or experimentally), the probability of an event occurring is a "estimate" based on how frequently the event occurred after collecting data from an experiment in a significant number of trials. These probabilities are based on real-world data.What three forms of probability are there?
Three main categories of probability exist:
Probability in theory. Scientific Probability. Probability axiomatically.
Probability refers to the possibility that a specific occurrence will occur. Probability is the proportion of the number of likely outcomes to the total number of outcomes of an event.
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Crownfashions.com wants to estimate the average time that visitors to its website spend browsing the site. In a random sample of 49 visits this week, average browsing time is 13.6 minutes. Assume you know the population standard deviation is 5.2 minutes. Construct an 80% confidence interval estimate of average browsing time for the population of crownfashion.com visitors this week. Report the margin of error indicated by the interval.
The 80% confidence interval estimate for the average browsing time is approximately 12.648572 minutes to 14.548572 minutes.
To construct an 80% confidence interval estimate of the average browsing time for the population of crownfashion.com visitors this week, we can use the following formula:
Confidence Interval = \(\bar{X}\) ± Z \(\times\) (σ/√n)
Where:
\(\bar{X}\) is the sample mean (average browsing time) = 13.6 minutes,
Z is the Z-score corresponding to the desired confidence level (80% confidence level corresponds to a Z-score of 1.28),
σ is the population standard deviation = 5.2 minutes,
n is the sample size = 49.
Plugging in these values, we can calculate the confidence interval as follows:
Confidence Interval = 13.6 ± 1.28 \(\times\) (5.2/√49)
Simplifying the expression:
Confidence Interval = 13.6 ± 1.28 \(\times\) (5.2/7)
Confidence Interval = 13.6 ± 1.28 \(\times\) 0.742857
Confidence Interval = 13.6 ± 0.951428
The lower bound of the confidence interval is 13.6 - 0.951428 = 12.648572, and the upper bound is 13.6 + 0.951428 = 14.548572.
Therefore, the 80% confidence interval estimate for the average browsing time is approximately 12.648572 minutes to 14.548572 minutes.
The margin of error indicated by the interval is half of the width of the confidence interval, which is (14.548572 - 12.648572) / 2 = 0.95 minutes.
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I really need help..im confused
Find The area of the figure below
Answer:
wow asphalt theme I have that too in my quizziz
Cameron's family traveled
3/8
of the distance to his aunt’s house on Saturday. They traveled
3/5
of the remaining distance on Sunday. What fraction of the total distance to his aunt’s house was traveled on Sunday?
Answer:
\(\frac{3}{8}\)
Step-by-step explanation:
After Saturday, there was \(\frac{5}{8}\) of the journey left. \(\frac{3}{5}\) of that would be:
\(\frac{5}{8}\) * \(\frac{3}{5}\) = \(\frac{15}{40}\) = \(\frac{3}{8}\) of the journey.
Thus, the answer is 3/8
4.5 ×10⁵ as an ordinary number
The required, 4.5 × 10⁵ as an ordinary number is 450,000.
An ordinary number is a number that is expressed in the usual way, using digits 0-9 without any exponent notation or other mathematical symbols.
4.5 × 10⁵ means 4.5 multiplied by 10 raised to the power of 5. To write this as an ordinary number, we simply need to perform this multiplication:
4.5 × 10⁵ = 4.5 × 100,000 = 450,000
Therefore, 4.5 × 10⁵ as an ordinary number is 450,000.
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Leslie has 6 bags of marbles. Each bag has 16 marbles. If
1
3
3
1
of the marbles are purple, how many purple marbles does Leslie have?
The quantity of purple marbles that Leslie has would be = 32 purple marbles.
How to calculate the quantity of purple marbles Lesile have?The number of bags of marbles that Leslie has = 6 bags.
The quantity of marbles that is found in each bag = 16 marbles.
Therefore the total number of marbles = 6× 16 =96 marbles.
The fraction of purple marbles that Leslie has = 1/3 of 96
Therefore the total number of purple marbles the Leslie have = 1/3× 96 = 32
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Complete question:
Leslie has 6 bags of marbles. Each bag has 16 marbles. If ⅓ of the marbles are purple, how many purple marbles does Leslie have?
for problems 7–21, verify that the given function is a solution to the given differential equation (c1 and c2 are arbitrary constants), and state the maximum interval over which the solution is valid. 8. y(x)
The function y(x) = c₁ cos 2x + c₂ sin 2x is a valid solution to the differential equation y'' + 4y = 0. The solution is valid for all values of x, unless specific initial conditions or constraints are given that limit its interval.
To verify if the given function y(x) = c₁ cos 2x + c₂ sin 2x is a solution to the differential equation y'' + 4y = 0, we need to substitute the function into the differential equation and check if it satisfies the equation for all values of x.
First, let's find the first and second derivatives of y(x):
y'(x) = -2c₁ sin 2x + 2c₂ cos 2x
y''(x) = -4c₁ cos 2x - 4c₂ sin 2x
Now, substitute y(x), y'(x), and y''(x) into the differential equation:
y''(x) + 4y(x) = (-4c₁ cos 2x - 4c₂ sin 2x) + 4(c₁ cos 2x + c₂ sin 2x)
= -4c₁ cos 2x - 4c₂ sin 2x + 4c₁ cos 2x + 4c₂ sin 2x
= 0
As we can see, the expression simplifies to zero, which means that y(x) = c₁ cos 2x + c₂ sin 2x is indeed a solution to the differential equation y'' + 4y = 0.
The maximum interval over which this solution is valid depends on the initial conditions or any other constraints provided in the problem. In general, since the given solution contains periodic functions (cosine and sine), it can be defined for all real values of x.
The complete question is:
For Problems 7-21, verify that the given function is a solu- tion to the given differential equation c₁ and c₂ are arbitrary constants), and state the maximum interval over which the solution is valid.
8. y(x) = c₁ cos 2x + c₂ sin 2x, y'' + 4y = 0
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1) list out the elements of the set "the letters of the word mississippi" 2) list out the elements of the set "months of the year" 3) write a verbal description of the set {3, 6, 9} 4) write a verbal description of the set {a, i, e, o, u} 5) is {1, 3, 5} a subset of the set of odd integers? 6) is {a, b, c} a subset of the set of letters of the alphabe
1. The elements of the set are {m, I, s, p}
The elements of the set are the letters in Mississippi. Elements cannot repeat themselves.. So the elements of this set would be {m, I, s, p} since all the other letters are just repetitions.
2. Set of months in a year are
{January,February,March,April,May,June,July,August,September,October,November,December}
3. Verbal Descriptions: It is a verbal description of the set is an English sentence to specify a law that allows us to decide the category of objects to be addressed and to determine whether it is in the set for any particular object.
Since, 3, 6 and 9 are divisible by 3 also less than 10.
4. Verbal description of the set {a,e,i,o,u} is vowels
In English these five alphabets{a,e,i,o,u} are known as vowels .
since the given set contains only vowels.
5. Yes (1,3,5) is the subset of odd integers.
The set of odd integers is the superset containing elements :-
Let A = { 1 , 3 , 5 , 7 , 9 ,..... ,( 2n + 1 ) }
And,
B = { 1 , 3 , 5 }
B is a subset of A because all elements of B lie in A .
6. Yes (a,b,c) is the subset of letters of the alphabet.
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1. 8a+16
2. 12-20
3. -6a+18
4. -12w -21
5. 8a-12b+28
6. -6x+15y - 24
7. 2a+3+7a
8. -2x-8x+20
9. 5y+10-25y
Answer:
the answer is don't do it my friend but how bad could it be