I need help finding the measure of each missing angle m<1 through m<5

Answer:

Yes

Step-by-step explanation:

You can test if a triangle is right-angled by using Pythagoras' Theorem.

So:

\(4^2 + 7.5^2 = 8.5^2\)

16 + 56.25 = 72.25

They do in fact add up so this triangle is right angled.

Answer: A possible statement about the value of m is:

3567.5 ≤ m < 3572.5.

Step-by-step explanation: The statement 3567.5 ≤ m < 3572.5 means that the mass of the elephant, m, is greater than or equal to 3567.5 kg and less than 3572.5 kg. This statement is based on the fact that the mass of the elephant is given as 3570 kg, correct to the nearest 5 kg.

Correct to the nearest 5 kg means that the mass of the elephant has been rounded to the closest multiple of 5 kg. For example, if the actual mass of the elephant was 3568 kg, it would be rounded up to 3570 kg, because 3570 is closer to 3568 than 3565. Similarly, if the actual mass of the elephant was 3571 kg, it would be rounded down to 3570 kg, because 3570 is closer to 3571 than 3575.

Therefore, the possible values of m that would be rounded to 3570 kg are those that are halfway between 3565 kg and 3575 kg. This means that m must be greater than or equal to 3567.5 kg (the midpoint of 3565 and 3570) and less than 3572.5 kg (the midpoint of 3570 and 3575). Hence, the statement 3567.5 ≤ m < 3572.5 captures this range of possible values of m.

Hope this helps, and have a great day! =)

Sara answered 30 questions correctly, and Xavier answered 28 questions correctly out of a total of 42 questions on the test.

Let's solve this problem step by step.

We are given that Sara answered questions with a ratio of 5 to 2, and Xavier answered 1 out of every 3 questions incorrectly. We need to determine the number of questions each of them got right.

Let's start with Sara:

The ratio of questions answered correctly to questions answered incorrectly is 5 to 2. This means that for every 5 + 2 = 7 questions, Sara answered 5 correctly and 2 incorrectly.

To find the number of questions Sara answered correctly, we can set up the proportion:

5 / 7 = x / 42

Cross-multiplying, we get:

5 * 42 = 7x

Simplifying, we have:

210 = 7x

Dividing both sides by 7, we find that Sara answered x = 30 questions correctly.

Now let's move on to Xavier:

We are given that Xavier answered 1 out of every 3 questions incorrectly. This means that for every 3 questions, he answered 2 correctly and 1 incorrectly.

To find the number of questions Xavier answered correctly, we can set up the proportion:

2 / 3 = x / 42

Cross-multiplying, we get:

2 * 42 = 3x

Simplifying, we have:

84 = 3x

Dividing both sides by 3, we find that Xavier answered x = 28 questions correctly.

Therefore, Sara answered 30 questions correctly, and Xavier answered 28 questions correctly.

For more question on correctly visit:

https://brainly.com/question/30450879

#SPJ8

The sum of the exterior angle of the pentagon is 360 degrees.

The polygon above is a pentagon. A pentagon is a polygon with 5 sides.

If the side of a polygon is extended, the angle formed outside the polygon is the exterior angle. The sum of the exterior angles of a polygon is 360°.

Therefore, the sum of the measure of the exterior angles of the pentagon as shown is 360 degrees.

learn more on polygon here: https://brainly.com/question/32120346

#SPJ1

Answer:

  5 19/20 or 5.95

Step-by-step explanation:

You can add these numbers as decimal numbers or as mixed numbers.

Decimal

  2.2 +3.75 = 5.95 . . . hours spent studying

Mixed Numbers

  (2 1/5) +(3 3/4) = (2 4/20) +(3 15/20) = (2 +3) +(4/20 +15/20)

  = 5 19/20 . . . hours spent studying

The mean and variance of the area A of a circle with a random radius R, uniformly distributed between 0 and 1, can be calculated using mathematical formulas. The mean of A is π/4, and the variance of A is (π^2 - 4)/16.

The area A of a circle is given by the formula A = π * R^2, where R is the radius. Since the radius R is uniformly distributed between 0 and 1, we can express the probability density function (PDF) of R as f(R) = 1 for 0 ≤ R ≤ 1, and f(R) = 0 elsewhere.

To find the mean of A, we need to calculate the expected value of A, denoted as E[A]. Using the formula for expected value, we have E[A] = ∫(A * f(R)) dR = ∫(π * R^2) dR from 0 to 1. Solving this integral gives E[A] = π/4.

To find the variance of A, we need to calculate E[A^2] first. Using the formula for expected value, we have E[A^2] = ∫(A^2 * f(R)) dR = ∫(π^2 * R^4) dR from 0 to 1. Solving this integral gives E[A^2] = π^2/5.

The variance of A can be calculated as Var[A] = E[A^2] - (E[A])^2 = π^2/5 - (π/4)^2 = (π^2 - 4)/16.

Therefore, the mean of A is π/4, and the variance of A is (π^2 - 4)/16 for a circle with a random radius R uniformly distributed between 0 and 1.

Learn more about circle here:

https://brainly.com/question/12930236

#SPJ11

The width of a confidence interval for the population mean depends on the sample size, standard deviation, and the desired level of confidence. Generally, for a greater confidence level, the width of the confidence interval will be wider.

This is because a higher confidence level means that we want to be more certain that the true population mean falls within the interval. To achieve this higher level of certainty, we need to widen the interval to include a larger range of possible values for the population mean.

However, it's important to note that the increase in width may not be proportional to the increase in confidence level. In fact, the width of the confidence interval increases at a decreasing rate as the confidence level increases.

This means that the increase in width from a 90% confidence interval to a 95% confidence interval will be less than the increase in width from an 80% confidence interval to a 85% confidence interval, even though both involve a 5% increase in the level of confidence.

for such more question on confidence interval

https://brainly.com/question/14366786

#SPJ11

Answer:

he distance between point A and point B is 17.01 km

Step-by-step explanation:

If the first stretch of the trip took 1 hour and 40 minutes, this is equivalent to 1 + 40/60 = 2.67 hours. If the friends walked at a speed of 6 km/h for this stretch, then they traveled a distance of 2.67 * 6 = 16.02 km.

If the total trip took 3 hours, and the first stretch took 2.67 hours, then the second stretch took 3 - 2.67 = 0.33 hours. If the friends walked the second stretch at a speed of 3 km/h, then they traveled a distance of 0.33 * 3 = 0.99 km.

The total distance traveled is 16.02 + 0.99 = 17.01 km.

If the friends walked the first stretch at 3 km/h instead, it would have taken them a time of 16.02/3 = 5.34 hours. If they walked the second stretch at a speed of 2 km/h, it would have taken them a time of 0.99/2 = 0.495 hours.

The total time for the trip would have been 5.34 + 0.495 = 5.835 hours. Since this is greater than 3 hours, we know that the friends did not walk the first stretch at 3 km/h. Therefore, the distance between point A and point B is 17.01 km.

Answer:

Step-by-step explanation:

W(-4,-10) lies on third quadrant.

M(-12,0) lies on second quadrant or can say in x axis

C(8,3) lies on first quadrant.

K(11,-5) lies on fourth quadrant.

Gerry's beginning basis in the S corporation is $20,545.

To calculate Gerry's beginning basis in the S corporation, we need to consider the cost of the assets transferred and the additional expenses incurred for the conversion.

The cost of the assets transferred is given as $19,570. This represents the original cost of the assets when Gerry acquired them.

The adjusted basis of the assets is stated as $9,600. The adjusted basis takes into account any adjustments made to the original cost, such as depreciation or other deductions.

To calculate the beginning basis in the S corporation, we add the cost of the assets transferred ($19,570) to the adjusted basis ($9,600). This gives us a total of $29,170.

In addition to the assets, Gerry incurred an additional expense of $975 for the conversion to an S corporation. We include this amount in the calculation of the beginning basis.

Therefore, Gerry's beginning basis in the S corporation is $29,170 + $975 = $20,545.

This beginning basis is important for determining Gerry's tax consequences and future deductions within the S corporation structure.

Learn more about cost  here:

https://brainly.com/question/19261126

#SPJ11

Answer:

y-axis

Step-by-step explanation:

points are (x,y)

since the y-coordinate does not change, but the x-coordinate does, it rotates around the y-axis.

reflection just means it rotates 180 degrees (out of the paper, not around)

a) The null hypothesis (H0) in this case would be that the median household income in Atlanta did not change between 1999 and 2003. The alternative hypothesis (Ha) would be that the median household income in Atlanta increased over the same period.

b) To test this, we can use a box model. The box represents the distribution of incomes in 1999, and the alternative hypothesis suggests that the median income in 2003 shifted to the right. We can calculate the z-score for the sample proportion (56%) using the formula z = (p - P0) / sqrt(P0(1-P0)/n), where p is the sample proportion, P0 is the hypothesized population proportion (52%), and n is the sample size. This will give us the test statistic.

To calculate the p-value, we can use the standard normal distribution table or a calculator to find the area under the curve beyond the test statistic. The p-value represents the probability of observing a sample proportion as extreme as the one we found, assuming that the null hypothesis is true.

c) If the p-value is smaller than a pre-determined significance level (e.g., 0.05), we would reject the null hypothesis. This would suggest that there is sufficient evidence to conclude that the median household income in Atlanta did increase between 1999 and 2003. If the p-value is larger than the significance level, we would fail to reject the null hypothesis and would not have enough evidence to conclude that the median household income increased.

To Know more about  median household income in Atlanta Visit:

https://brainly.com/question/14087447

#SPJ11

The fraction which should go into the boxes marked A and B in their simplest form is 3/4 and 1/4 respectively.

Total number of fruits Amy has = 10

Number of Apples = 7

Number of Oranges = 3

First random pieces of fruits chosen:

Probability of choosing Apples = 6/9

Probability of choosing Oranges = 3/9

Second random pieces of fruits chosen:

Probability of choosing Apples = 6/8

= 3/4

Probability of choosing Oranges = 2/8

= 1/4

Therefore, the probability of choosing Apples or oranges as the second piece is 3/4 or 1/4 respectively.

Read more on probability:

https://brainly.com/question/251701

#SPJ1

First let's make the picture of the movement of the little sister:

The green line represents the first trip and the red line represents the trip back.

Since she traveled 1000m and then came back 300m, we have that:

therefore, the little sister displaced 700 meters and she traveled 1300m

The amount of time that passes between iterations of the same behavior can vary depending on the specific behavior and the individual or situation involved. However, there is no specific time frame that can be universally applied to all behaviors.

When examining the frequency of a behavior, it is important to consider factors such as the complexity of the behavior, the availability of resources, and the motivation or reinforcement associated with the behavior. Additionally, individual differences and external influences can also affect the time between iterations of a behavior.

To determine the time between iterations, one can observe and record the occurrences of the behavior over a specific period. By analyzing the data collected, patterns can emerge, providing insights into the timing and frequency of the behavior.

In conclusion, the time between iterations of the same behavior is not fixed and can vary depending on various factors. Observing and recording the behavior over a period of time can help determine the frequency and time frame of the behavior.

To know more about time visit

https://brainly.com/question/33137786

#SPJ11

Answer:

8.32

Step-by-step explanation:

All you have to do to solve this is move the decimal point 1 place to the left. This will make the answer 8.32.

If this has helped please mark as brainliest

Answer:

8.32

Step-by-step explanation:

When you multiply a number like 0.1 or 0.01, you simply move or add a decimal to the other number. Good luck and Have a great day =)

Answer:

3.039%, 3 3/16%, 3.4%, 3.499%, 3 1/2%.

Step-by-step explanation:

First convert to them all decimal fractions:

= 3.4, 3.039, 3.1875, 3.499, 3.5

so,  the answer is

3.039, 3.1875, 3.4, 3.499, 3.5

Personal car would be the best option to manage both tasks efficiently. While the train is a reliable mode of transportation, it may have fixed schedules that might not align perfectly with Patrick's needs.

On the other hand, using his personal car provides more flexibility and allows him to tailor the departure time according to his daughter's coding class schedule.

If Patrick decides to take the train, he would need to check the train schedule to see if there are convenient departure and arrival times for both the soccer game and the coding class. This option would require planning and coordination to ensure he arrives at the game on time and can pick up his daughter afterward.

Using his personal car gives Patrick the freedom to leave at a time that accommodates both the soccer game and the coding class. He can drop off his daughter at her coding class, attend the soccer game, and then pick her up afterward without being restricted by train schedules.

Considering the circumstances, Patrick might find it more convenient to use his personal car to manage both tasks effectively and ensure he can attend his son's soccer game while also ensuring his daughter arrives at her coding class on time.

To learn more about transportation

https://brainly.com/question/32750280

#SPJ11

Answer:

50%

Step-by-step explanation:

5/10*100

=50%

Circumference = 2 x radius x Pi

Circumference = 2 x 15 x 3.14

Circumference = 30 x 3.14

Circumference = 94.2 feet

Answer:

\( \huge{ \boxed{ \sf{94.2 \: ft}}}\)

Step-by-step explanation:

\( \underline{ \sf{Given}} : \)

\( \star{ \sf{ \: Radius \: of \: a \: circle \: ( \: r \: ) \: = \: 15 \: ft}}\)

\( \star{ \sf{ \: pi \: (\pi) = 3.14}}\)

\( \boxed{ \sf{ \: Circumference \: of \: a \: circle \: = \: 2 \: \pi \: r}}\)

Plug the values and multiply them

\( \mapsto{ \sf{Circumference = \: 2 \:* \: 3.14 \: * \: 15}}\)

\( \mapsto{ \sf{Circumference \: = \: 94.2 \: ft}}\)

Hope I helped!

Best regards! :D

~\( \text{TheAnimeGirl}\)

The solution of the system by using elementary row operations on the equations or on the augmented matrix following systemic elimination procedure is x1 = −8 and x2 = 3.

The complexity of the algebra required to solve a linear system rises as the number of equations and unknowns grows. By streamlining the nomenclature and standardizing processes, the necessary computations may be made easier to handle.

The procedures listed below should be followed in order to solve a system of linear equations using the row operations:

1. As a matrix equation, write the equations as AX = B.

2. Create an augmented matrix by converting the matrix equation to the following form: [A | B] (the word "augmented" refers to the vertical line we create to remind us where the equals sign belongs).

3. Reduce the augmented matrix using row operations to arrive at the answer.

Here is another question with an answer similar to this about augmented matrix: https://brainly.com/question/16796667

#SPJ4

An algebraic expression which models the given context would be written as s + 0.02s = 1.05s.

Price can be define as an amount of money which is primarily set by the seller of a good (product), and it must be paid by a buyer to the seller, so as to enable the acquisition of this good (product).

An algebraic expression can be defined as a mathematical equation which is used to show the relationship existing between two or more variables and numerical quantities.

Let s represent the price of a pair of shoes.

Therefore, an algebraic expression which models the given context would be written as follows:

s + 0.02s = 1.05s.

Read more on algebraic expression here: https://brainly.com/question/17615109

#SPJ4

The length of the shadow of Hayden is approximately 32 inches.

Charlie and Hayden are standing outside.  Charlie is 64 inches tall and casts a shadow of 30 inches.

Hayden is 68 inches tall. The length of the shadow of Hayden can be calculated as follows:

Using proportion,

64 / 30 = 68 / x

where

x = length of the shadow of Hayden

Therefore,

64 / 30 = 68 / x

cross multiply

64x = 68 × 30

64x = 2040

divide both sides by 64

x = 2040 / 64

x = 31.875

Hence,

Length of the shadow of Hayden = 32 inches

learn more on proportion here: https://brainly.com/question/26258657

#SPJ1

Answer:

1)False

2)True

3)True

4)False

Step-by-step explanation:

The Z value(atomic number) of the given atom is 8

To learn more about atomic number visit:

https://brainly.com/question/8834373

#SPJ4

Assuming that there are 365 days in a year (ignoring leap years) and that all dates are equally likely, we can use the Pigeonhole Principle to determine the minimum number of teenagers needed to ensure that 4 of them were born on the same date.

There are 365 possible days in a year on which a person could be born. Therefore, if we select k teenagers, the total number of possible birthdates is 365k.

To guarantee that 4 of them were born on the exact same date, we need to find the smallest value of k for which 365k is greater than or equal to 4 times the number of possible birthdates. In other words:365k ≥ 4(365)

Simplifying this inequality, we get: k ≥ 4

Therefore, we need to select at least 4 + 1 = 5 teenagers to ensure that 4 of them were born on the exact same date.

To know more about "Pogeonhole Principle" refer here:

https://brainly.com/question/31687163#

#SPJ11

Answer:32

Step-by-step explanation:beacuse 24 dived by 3= 8 and 4x8=32

Multiplicity of a polynomial root is the number of times that root is repeated after factorization.

Polynomial are mathematical expressions which is generally of the form,

P(x) = aₙ xⁿ + ......... + a₁ x + a₀

where aₙ s are the real coefficients and all n's are whole numbers and x is the variable.

Multiplicities are the number of times a zero of the polynomial is repeated.

For example, consider the polynomial,

P(x) = x⁴ - 19x² + 48

Let P(x) = 0

x⁴ - 19x² + 48 = 0

(x² - 3) (x² - 16) = 0

(x - √3) (x + √3) (x - 4) (x + 4) = 0

Roots are √3, -√3, 4 and -4.

Here each root is repeated only once, so the multiplicity is 1.

Consider another polynomial,

P(x) = (x - 1)² (x + 3)³

Let P(x) = 0

(x - 1)² (x + 3)³ = 0

(x - 1)(x - 1)(x + 3)(x + 3)(x + 3) = 0

Roots are 1, 1, 1, -3,and -3

Multiplicity of the root 1 is 3 and the multiplicity of the root -3 is 2.

Hence the multiplicities are found by determining the number of times zeroes of a polynomial is repeated.

Learn more about Multiplicities here :

https://brainly.com/question/29770367

#SPJ4

True, The objective function in linear programming is formulated to either maximize or minimize a specific value or quantity.

The goal of linear programming is to optimize this objective function by finding the optimal values for the decision variables within the given constraints. Whether it is maximizing profit, minimizing cost, maximizing production, or minimizing waste, the objective function is designed to achieve the desired optimization outcome.

The objective function in linear programming serves as the goal or target to be achieved. It can involve maximizing profits, minimizing costs, maximizing efficiency, minimizing waste, or any other measurable quantity. The objective function guides the optimization process by defining the objective to be pursued in the linear programming problem.

Learn more about linear programming at

https://brainly.com/question/30763902

#SPJ4