For a project in her Geometry class, Scarlett uses a mirror on the ground to measure the height of her school building. She walks a distance of 11.25 meters from the school, then places a mirror on flat on the ground, marked with an X at the center. She then steps 0.9 meters to the other side of the mirror, until she can see the top of the school clearly marked in the X. Her partner measures the distance from her eyes to the ground to be 1.55 meters. How tall is the school? Round your answer to the nearest hundredth of a meter.

By using the concept of division, it can be calculated that

The statement given in the fourth option

Two pizzas are shared equally among zero people do not have a solution

What is division?

Division is the process by which value of single unit can be calculated from the value of multiple unit.

The number to be divided is known as dividend, the number by which the dividend is divided is the divisor, the result obtained is the quotient and the remaining part is the remainder.

There is a well known formula for division

Divisor x Quotient + Remainder = Dividend.

This is a word problem on division.

For the first option

Number of pizzas = 6

Number of person = 3

Number of pizzas each person get = 6 [tex]\div[/tex] 3 = 2

This problem has a solution.

For the second option

Number of pizzas = 3

Number of person = 2

Number of pizzas each person get = 3 [tex]\div[/tex] 2 = 1.5

This problem has a solution.

For the third option

Number of pizzas = 0

Number of person = 3

Number of pizzas each person get = 0 [tex]\div[/tex] 3 = 0

This problem has a solution.

For the fourth option

Number of pizzas = 2

Number of person = 0

Number of pizzas each person get = 2 [tex]\div[/tex] 0

Now anything divided by zero is not possible

This problem do not have a solution.

To learn more about division, refer to the link:

https://brainly.com/question/25289437

#SPJ1

Answer:

Step-by-step explanation:

2345t

the 15 different ways can he select the days on which to have pizza

What is combination?

A combination is a choice made in mathematics from a group of different elements when the order of the choices is irrelevant (unlike permutations). For instance, if three fruits, such as an apple, an orange, and a pear, are supplied, there are three possible pairings of the two: an apple and a pear. Formally speaking, a k-combination of a set S is a subset of S's k unique components. In other words, two combinations are the same if and only if they have the same members. (It is not important how the individuals in each set are arranged.) The quantity of k-combinations for a set with n components

Arturo can have pizza for dinner on any two of the next six days.

he select the days on which to have pizza

So the number of ways c(6 2)

= [tex]\frac{6!}{4!2!}[/tex]

=[tex]\frac{30}{2}[/tex]

=15 ways

Hence the 15 different ways can he select the days on which to have pizza.

Learn more about combination, by the following link.

https://brainly.com/question/11732255

#SPJ4

The time at which the planes are at the same height is given as 6 minutes.

A linear equation can be solved by equating the LHS and RHS of the equation following some basic rules such as by adding or subtracting the same numbers on both sides and similarly, doing division and multiplication with the same numbers.

The expression for the height of the two airplanes in terms of time t is given as,

For the first airplane it is 35400 - 3300t,

And, for the second it is 2600t.

When, the two airplanes are at the same height the following equation can be written,

35400 - 3300t = 2600t

=> 35400 = 3300t + 2600t

=> 5900t = 35400

=> t = 6

Hence, both the planes are at the same height after 6 minutes.

To know more about linear equation click on,

https://brainly.com/question/11897796

#SPJ1

Answer:

2134.4

Step-by-step explanation:

You are multiplying 21.344 by 100, which means all you have to do is move the decimal point towards the left 2 to get your answer

Answer: 2134.4

Step-by-step explanation:

The reason it is this is that when 100 times 21.344 you have to take the two zeros and push the two next numbers after the decimal and put them in front of the decimal.

Answer:

246

Step-by-step explanation:

To round the decimal, we need to look at the number in the tenths place. If it is less then 5, we round down. If it is greater or equal to 5, we round up. Since the number in the tenths place is 1, we round down, to 246.

Answer:

y = x - 1

Step-by-step explanation:

A line that includes the point (0, -1) has a slope of 1. What is its equation in

slope-intercept form?

slope-intercept form : y = mx + b where m is slope and b is the y-intercept.

you are give:

slope = 1

y-intercept = -1

y = mx + b

y = 1x + (-1)

y = x - 1

The options that is not a key feature of the piecewise function h(x), defined as x² - 5 for 0 ≤ x ≤ 3, and -log₃x for x > 3 is the option;

A piecewise function is a function that maps the input variable with a different definition, depending on the interval of the input variable.

The piecewise function is presented as follows;

h(x) = x² - 5 for 0 ≤ x ≤ 3

h(x) = log₃x for x > 3

The domain of the function, f(x) which is the set of the x-values of the function is therefore; 0 ≤ x ≤ 3, and x > 3

Therefore; The domain of the function is 0 ≤ x < ∞, which in interval notation is; [0, ∞)

The range of the function x² - 5 is -5 ≤ x ≤ 4

The range of the function -log₃x, where x > 3 is -∞ < h(x) < -1

The range in interval notation is therefore; (-∞, 4]

Therefore, the range of h(x) is not (-∞, ∞)

The y-intercept is the point the graph intersects the y-axis, and where x is zero, which indicates;

The y-intercept is the point h(0) = 0³ - 5 = -5

Therefore, the y-intercept is the point (0, -5)

The end behavior of the function, h(x) is as x → ∞, -log₃x → -∞

Therefore, the option that is not a key feature of the function f(x) is the option; The range of h(x) is (-∞, ∞)

Learn more about the domain and range of a function here:

https://brainly.com/question/17150852

#SPJ1

The probability that the sample proportion with rh-negative o blood types will be less than 12% is 0.93.

Given:

91 pts nine percent of Americans have rh-negative o blood type.

In a random sample of 200 Americans, what is the probability that the sample proportion with rh-negative o blood types will be less than 12% = ?

Using central limit theorem,

P(p cap < p) = P(Z<p cap-p/√p(1-p)/n)

so,

P(p cap < 0.12) = P(Z<0.12-0.09/√(0.09×0.91/200)

= P(Z<1.4825)

= 0.9309 (from Z table)

= 0.93 (Rounded to second decimal place)

Hence we get the required answer.

Learn more about Central limit theorem here:

brainly.com/question/25800303

#SPJ4

When studying the relationship between test performance and length of sleep (the night before), measure of association type of measurement is being examined.

What is measure of association?

Measure of association in statistics any of various factors or coefficient used to quantity a relationship between two or more variables.

Measure of association are used in various fields of research but are specially common in the areas of Epidermiology and Psycology, where they frequently are used to quantity relationships between exposures and behaviours.

Here length of sleeping and test performance is behavioural based relationship. It can best studied through measure of association.

Hence, when studying the relationship between test performance and length of sleep (the night before), measure of association type of measurement is being examined.

To know more about measure of association, click on the link

https://brainly.com/question/29576201

#SPJ4

Answer:19/20

Step-by-step explanation:

Answer:

Combined like terms- 9xy3−13y4+x3y+3x4−8x2y2

Simplified- 3x4+x3y−8x2y2+9xy3−13y4

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

lol

The complete statement is:

In ΔFGH, the measure of m∠F=54°, the measure of m∠G=90°, and m∠H = 36°

From the question, we have the following parameters that can be used in our computation:

The sum of angles in a triangle is 180°

So, we have the following representation

m∠F + m∠G + m∠H = 180°

Substitute the known values in the above equation, so, we have the following representation

54 + 90 + m∠H = 180°

Evaluate the sum in the above equation

This gives

144 + m∠H = 180°

Collect the like terms

m∠H = 180 - 144°

So, we have

m∠H = 36°

Hence, the value that completes the blank is 36°

Read more about angles at

https://brainly.com/question/7620723

#SPJ1

Complete question

Fill in the gap

In ΔFGH, the measure of m∠F=54°, the measure of m∠G=90°, and m∠H = °

The train has 12 carriages

Step-by-step explanation:

The total no. of seats =876

No. of seats per carriage =73

It is given that each carriage has equal seats

So,

Let the total no. of carriages be x

According to the given information,

[tex]73 \times x = 876[/tex]

[tex]x = 876 \div 73[/tex]

x = 12

Hence the number of carriages is 12

To know more about numbers,

https://brainly.com/question/11793415

Number of ways to choose one red marble or one small marble will be

1,961,256.

A combination is a technique to determines the number of possible arrangements in a collection of items where the order of the selection does not matter.

Given that;

A jar holds 8 large red marbles, 6 large blue marbles, 5 small red marbles, and 4 small blue marbles.

Now,

Since, A jar holds 8 large red marbles, 6 large blue marbles, 5 small red marbles, and 4 small blue marbles.

Hence, Total number of marbles = 8 + 6 + 5 + 4

                                                  = 23

Number of red marbles = 8 + 5 = 13

And, Number of small marbles = 5 + 4 = 9

Thus, Number of ways to choose one red marble or one small marble is,

⇒ [tex]^{23} C_{13} + ^{23} C_{9}[/tex]

⇒ 23! / 13! 10!  +  23! / 9! 14!

⇒ 1,144,066 + 817,190

⇒ 1,961,256

Thus, There are 1,961,256 ways to choose one red marble or one small marble.

Learn more about the combination visit:

https://brainly.com/question/11732255

#SPJ1

The value of t in -18 = -3t is 6.

A formula known as an equation uses the equals sign to denote the equality of two expressions. In essence, equations are questions, and the motivation for the development of mathematics has been the systematic search for the answers to these questions.

Given:

-18 = -3t

Solve the above equation as shown below,

Multiply both sides by -1

-18 × (-1)  = -3t × (-1)

18 = 3t

Divide both sides by 3 we get,

18 / 3 = 3t / 3

t = 6

Therefore, the value of t in -18 = -3t is 6.

To know more about equation:

https://brainly.com/question/12788590

#SPJ1

The 500th term of the 7 count sequence 24,31,38,45,52 is 3517.

It should be noted that this is an arithmetic sequence. The formula is represented as:

a + (n - 1) d

where

a = first term

n = number of terms

d = common difference

Since the numbers are 24,31,38,45,52, the common difference is (3 - 25) = 7

The 500th term will be:

a + (n - 1) d

24 + (500 - 1) × 7

= 24 + (499 × 7)

= 24 + 3493

= 3517

Learn more about arithmetic sequence on:

brainly.com/question/6561461

#SPJ1

Answer

[tex]A=52m^{2}[/tex]

The standard deviation of x - y is 12

X and Y are independent random variables

For random variable X, mean =120 and standard deviation =15

For random variable Y, mean =100 and standard deviation = 9

Let D be the difference of standard deviation of X and Y.

Variance can be defined as the square of standard deviation.

Hence, Variance of X = (standard deviation of X)2 = (15)2 = 225

And, variance of Y = (standard deviation of Y)2 = (9)2 = 81

SD(X - Y) = sqrt(SD(X)2 - SD(Y)2)

Hence, D = sqrt(225 - 81) = sqrt(14) = 12

Hence, the standard deviation of x - y is 12

To know more about standard deviation:

https://brainly.com/question/23907081

#SPJ4

The probability that a nine year old will take longer than 3 minutes to eat a donut is 0.667 .

Given that the time taken by 09 years old,

Consider that it takes 0.5 to 4 minutes inclusive for a 9-year-old to eat a donut.

Let X = Time

minutes, how long it takes a 9 year old to eat a donut.

Then X: U(0.5, 4).

The Probability Distribution Function:

P(X) = 1/4 - 0.5 = 0.2857

Cumulative Function would be:

F(x) = x -0.5 /0.5

The probability that a randomly selected 9-year-old child will eat a donut in at least 2 minutes is

    P(X ≥ 2) = 1 -F(2)

⇒ 1 - 2 -0.5/3.5

⇒ 0.8571

b) The probability that another her 9-year-old child will eat a donut in 2 minutes or more if she has eaten a donut in 3.0 minutes or more.

P(x >2 /x> 3.0)

= 0.571429/ 0.857143

= 0.6667

Learn more about Probability:

https://brainly.com/question/13957582

#SPJ4

The area of the circle is more usefull than circumfrence of the circle.

Given that,
A horse is tied with a 10 -foot-long rope to a pole on a grassy field. Is the circumference of the circle or the area of the circle more useful for determining how much grass the horse has access to is to be discuss.

Area of circle is given by the pie times square of radius.

Area of circle = πr^2

here,
The circumference of the circle gives the information of the periferal boundry,
while the area of the circle gives the information about the region of grass the horse can access

Thus, the area of the circle is more usefull than circumfrence of the circle.

Learn more about circle here:

brainly.com/question/11833983

#SPJ1

Lines l and m are parallel; line l will map onto line m with a 90° rotation; line l can map onto line m with a vertical line of reflection.

To learn more about Lines refer to:

https://brainly.com/question/26961508

#SPJ1

The total cost of the engagement ring is $10,975. The sales tax is calculated as follows: $10,000 x 0.0975 = $975.

A sales tax is a type of consumption tax that local or state governments apply on the sale of products or services that consumers pay for when they make a purchase. When a company has a link to the jurisdiction in some way, it is responsible for collecting sales tax and remitting payment to the government.

It is only imposed and paid when the taxable supply is produced while engaging in a "taxable activity". Taxes should be based on the value of the goods or service. Because of the way the sales tax is structured, consumers are required to bear the majority of the tax burden. Because sales tax is an indirect tax, this is true.

To know more about sales tax visit:

https://brainly.com/question/29442509

#SPJ4

The estimation done by Owen is wrong because he estimated the amount of sodium very low.

Estimation is a process or way to roughly calculate the answer or solution of a given problem or question, estimation gives an approximate solution for a question.

Given that, Owen decides to buy a 2-pack of almond butter. He notices that each jar in the pack has 84 servings, and each serving has 20 milligrams of sodium.

Since, there are 20 mg of sodium in 1 serving,

Therefore, in 84 serving = 84x20 = 1680 mg of sodium.

And, there are 2 packs, therefore total amount of sodium in 2 packs = 1680x2 = 3360 mg

We calculated the amount of sodium to be 3360 mg, which is larger than the estimation of Owen.

Hence, Owen's estimation for amount of sodium is wrong.

For more references on estimation, click;

https://brainly.com/question/17961193

#SPJ1

Answer:4/4 is the answer

Answer:

Here

Step-by-step explanation:

54.5°

Answer:

63.4

Step-by-step explanation:

First, find the height of the tree relative to Henry by subtracting his height from the tree's height: 14 feet - 4 feet = <<14-4=10>>10 feet

Next, use the formula for finding the angle of elevation: tan(angle) = opposite side / adjacent side

Since the opposite side is the tree's height relative to Henry and the adjacent side is the distance between Henry and the tree, plug in the values: tan(angle) = 10 feet / 4 feet

Solve for the angle: tan(angle) = 2.5

Since the inverse tangent function is used to find the angle given the tangent value, find the inverse tangent of 2.5: angle = tan^-1(2.5) = 63.4 degrees

Round to the nearest tenth: 63.4 degrees rounded to the nearest tenth is 63.4 degrees. Answer: {63.4}.

The triangles ΔAEB and ΔCDB are congruent as per SSS criteria. The correct option is (B).

Two triangles are said to be congruent when all of their corresponding sides and angles are equal. For this relation between two triangles, there are many criteria such as SSS, SAS, ASA and RHS.

The relation between the two triangles ΔAEB and ΔCDB as per the given information can be shown as follows,

In ΔAEB and ΔCDB,

AE = CB

AB = CD

EB = BD

Since all the three corresponding sides of the triangles are equal, the triangles  ΔAEB ≅ ΔCDB by SSS criteria.

Hence, the two triangles are congruent by SSS criteria.

To know more about congruent triangles click on,

https://brainly.com/question/22062407

#SPJ1