3. A flagpole that is 15 feet tall casts a 7-and-a-half-foot shadow. At the same time of
day, a nearby building casts 18 feet, 4 in. shadow. How tall is the building? Show your
answer in inches then convert to the feet.

Answer:  12.6 ft

Step-by-step explanation:

a = 8.8 ft

b = 9 ft

c = ?

Since it is a right triangle, we can use the Pythagorean Theorem to solve for missing side c, the hypotenuse.

a^2 + b^2 = c^2

(8.8)^2 + (9)^2 = c^2

158.44 = c^2

(158.44)^(1/2) = c

12.5873 = c

c = 12.6 ft (rounded to the nearest tenth)

Answer: 13.1

Step-by-step explanation:

(2.5)+(7*9)/(5) = 2.5+63/5 = 65.5/5 = 13.1

Answer:

13.1

Step-by-step explanation:

Given rational expression:

\(\dfrac{m+(7 \cdot 9)}{n}\)

To determine the value of the given expression when m = 2.5 and n = 5, substitute the given values into the expression and solve.

\(\begin{aligned}m=2.5, n=5 &\implies \dfrac{2.5+(7 \cdot 9)}{5}\\\\&\implies \dfrac{2.5+63}{5}\\\\&\implies \dfrac{65.5}{5}\\\\&\implies \dfrac{65.5 \cdot 2}{5 \cdot 2}\\\\&\implies \dfrac{131}{10}\\\\&\implies 13.1\end{aligned}\)

In Costello et al. (2003), the independent variable that was not manipulated by the research team was the gender of the participants.

The study examined the effects of different levels of alcohol consumption on cognitive performance and mood states in young adults. Participants were assigned to different alcohol consumption groups based on their self-reported drinking habits. However, the gender of the participants was not manipulated, and the study included both male and female participants. This means that any differences in the results based on gender cannot be attributed to the research team's manipulation of the independent variable, but rather to other factors that may have affected the results.

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Answer:

the way to solve it

Step-by-step explanation:

so -1.

Answer:

B. 6.5x10^5

Step-by-step explanation:

Hope this Helps :)

(a)the body temperature of the 1601 lb man will increase by approximately 3.0 °C.(b)the body temperature of the 160 lb man will increase by approximately 2.4 °C.

The specific heat of a human is given as 3.47 J/°C. Using this information, we can calculate the increase in body temperature when a certain number of calories are converted into heat energy. In the first scenario, a 1601 lb man consumes a candy bar containing 287 Cal. In the second scenario, a 160 lb man consumes a roll of candy containing 41.9 Cal. We will calculate the increase in body temperature for each case.

(a) To calculate the increase in body temperature for a 1601 lb man who consumes a candy bar containing 287 Cal, we need to convert calories to joules. Since 1 Calorie (Cal) is equal to 4184 joules, we have:
Energy = 287 Cal × 4184 J/Cal = 1.2 × \(10^6\) J
Now, using the specific heat formula Q = mcΔT, where Q is the energy, m is the mass, c is the specific heat, and ΔT is the change in temperature, we can rearrange the formula to solve for ΔT:
ΔT = Q / (mc)
Assuming the mass of the man is converted to kilograms, we have:
ΔT = (1.2 × \(10^6\) J) / (1601 lb × 0.4536 kg/lb × 3.47 J/°C) ≈ 3.0 °C
Therefore, the body temperature of the 1601 lb man will increase by approximately 3.0 °C.
(b) For a 160 lb man who consumes a roll of candy containing 41.9 Cal, we repeat the same calculation:
Energy = 41.9 Cal × 4184 J/Cal = 1.75 × \(10^5\) J
ΔT = (1.75 × \(10^5\) J) / (160 lb × 0.4536 kg/lb × 3.47 J/°C) ≈ 2.4 °C
Thus, the body temperature of the 160 lb man will increase by approximately 2.4 °C.

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The total number of groups in the study of one way ANOVA with the given condition of variable and levels is four different groups and number of different factors in one-way ANOVA is equal to one.

In a one-way ANOVA with one independent variable with four levels, there are four different groups in the study.

Each group represents a level of the independent variable.

There is only one factor in a one-way ANOVA.

The factor is the independent variable with the four levels, which is used to classify the groups in the study.

The factor is what the researcher is interested in studying.

And the ANOVA is used to determine if there are any statistically significant differences in the mean scores between the groups.

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Answer:220

Step-by-step explanation:88/4=22 x 10= 220

Answer:

  (a)  11

Step-by-step explanation:

You want the degree of the monomial 7m^6n^5.

The degree of a monomial is the sum of the exponents of its variables.

  m has an exponent of 6

  n has an exponent of 5

The degree is 6+5 = 11.

If the base of the solid is bounded by the curves f(x) = x2 and g(x) = x + 2 and the cross-sections perpendicular to the x-axis are rectangles of height 3 then the volume of the given solid is 9 cubic units.

The volume of the given solid can be found using the method of slicing, where we first determine the area of each cross-sectional rectangle and then integrate it over the specified region.

The base of the solid is bounded by the curves f(x) = x^2 and g(x) = x + 2. To find the region between these curves, we can set them equal to each other and solve for x:

x^2 = x + 2
x^2 - x - 2 = 0
(x - 2)(x + 1) = 0

This gives us two points of intersection: x = 2 and x = -1.

Now, let's find the length of the base of each rectangle, which is the difference between the y-values of the two curves:

Base length = g(x) - f(x) = (x + 2) - x^2

Since the height of each rectangle is given as 3, the area of each rectangle can be calculated as:

Area = Base length * Height = [(x + 2) - x^2] * 3

To find the volume of the entire solid, we integrate the area of the rectangles along the x-axis, between the intersection points -1 and 2:

Volume = ∫[3((x + 2) - x^2)] dx from -1 to 2

Evaluating this integral, we get:

Volume = 3[(x^2/2 + 2x - x^3/3)] from -1 to 2 = 9 cubic units

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Answer:

H = 120°

Step-by-step explanation:

The sum of the internal angles of a polygon with n sides is given by the formula:

S = (n-2)*180

So, for a pentagon, we have n = 5, then:

S = (5-2)*180 = 540°

So we have that:

M + A + T + H + S = 540° (eq1)

M = T = H (eq2)

A + S = 180° (eq3)

Using the second and third equation in the first one, we have:

H + H + H + 180 = 540

3H = 360

H = 120°

Answer:

150% Increase

Step-by-step explanation:

Hopefully that is correct!

The sentences here are all simple sentences and all begin with the same word.

A paragraph is used to show a complete thought. It is important that a paragraph ought to be presented in complete sentences. However the sentences here are all simple sentences and all begin with the same word.

The reasons pointed out above makes the paragraph appear clumsy and boring to read. The writer should revise the paragraph and introduce a more complex sentence structure as well as the use of pronouns where neccessary.

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Answer:

B

Step-by-step explanation:

edge 22

Answer:

11

Step-by-step explanation:

1.)  Probabilities range from 0 to 1, denoting impossibility and certainty, respectively.

2.) The sum of probabilities of all possible outcomes is equal to 1.

1.) Individual probabilities will always have values between 0 and 1. This property is known as the "probability bound." Probability is a measure of uncertainty or likelihood, and it is represented as a value between 0 and 1, inclusive.

A probability of 0 indicates impossibility or no chance of an event occurring, while a probability of 1 represents certainty or a guaranteed outcome.

Any probability value between 0 and 1 signifies varying degrees of likelihood, with values closer to 0 indicating lower chances and values closer to 1 indicating higher chances. In simple terms, probabilities cannot be negative or greater than 1.

2.) The sum of the probabilities of all individual outcomes must equal 1. This principle is known as the "probability mass" or the "law of total probability." When considering a set of mutually exclusive and exhaustive events, the sum of their individual probabilities must add up to 1.

Mutually exclusive events are events that cannot occur simultaneously, while exhaustive events are events that cover all possible outcomes. This property ensures that the total probability accounts for all possible outcomes and leaves no room for uncertainty or unaccounted possibilities.

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Step-by-step explanation:

\(x {}^{2} - 16x - 48 \\ x = - 4 \sqrt{7 } + 8 \\ or \\ x = 4 \sqrt{7} + 8\)

Answer:

x-1=3

x=3+1

x=4

Answer:

To find the slope of the proportional relationship, use the slope formula. The slope formula is Y2-Y1/X2-X1. Plug in any two points into the equation and solve. I will use (8,10) and (12,15).

15-10/12-8

5/4

The slope of the proportional relationship is 5/4.

Hope this helps! :)

Answer:

The number under the (radical) symbol. That is, a number which is having its square root taken (or cube root, 4th root, 5th root, nth root, etc.). For example, 3 is the radicand in .

Answer:

a

Step-by-step explanation:

Given

- 6x - x + 10 = 15 - 7x - 5 , that is

- 7x + 10 = - 7x + 10

Since both sides of the equation are equal then all real numbers will make the equation true.

Answer:

\(252 + 10h \ge 575\)

Step-by-step explanation:

Given

\(Savings = 252\)

\(Target=575\) -- atleast

\(Earnings = \$10\) per hour

Required

Represent as an inequality

Suppose that she babysits for h hours, her total earnings would be:

\(Total\ Earnings = 10h\)

In inequalities:

At least means \(\ge\)

So, when the total earnings is added to her savings, we have:

\(Savings + Total\ Earnings \ge Target\)

Substitute values for Savings, Total Earnings and Target

\(252 + 10h \ge 575\)

The least number of each pack that Martin can buy is 5 packs of burger and 3 packs of bread buns.

Since the packs of bread buns contain 40 bread buns and each pack of burgers contains 24 burgers, then we'll calculate the multiples of each number. This will be:

Multiples of 24 = 24, 48, 72, 96, 120

Multiples of 40 = 40, 80, 120, ...

Therefore, the least common multiple is 120.

The least number of packs of burger to buy is 5 and least number of packs of bread buns to buy is 3.

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Answer:

if it random then I think that the student prob. is 1/3 because there are three options

Step-by-step explanation:

To convert 2 pm in the 12-hour clock format to military time, we add 12 to the hour to get 14, and the minutes remain the same, resulting in a military time of 14:00pm.

In military time, the day is divided into 24 hours, starting from midnight (00:00 hours) and ending at 23:59 hours. Each hour is numbered from 0 to 23, instead of repeating the numbers from 1 to 12 twice in a day.

Military time uses a four-digit number to represent the time, where the first two digits represent the hour and the last two digits represent the minutes.

To convert 2 pm in the 12-hour clock format to military time, we need to add 12 to the hour since 2 pm is in the afternoon and military time does not use the "am" or "pm" designations.

So, 2 pm in military time would be 14:00 hours, where 14 represents 2 pm in the 24-hour clock format.

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In this triangle, the product of tan A and tan C is `(BC)^2/(AB)^2`.

The given triangle ABC has angle A measuring 45 degrees, angle B measuring 90 degrees, and angle C measuring 45 degrees , Answer: `(BC)^2/(AB)^2`.

We have to find the product of tan A and tan C.

In triangle ABC, tan A and tan C are equal as the opposite and adjacent sides of angles A and C are the same.

So, we have, tan A = tan C

Therefore, the product of tan A and tan C will be equal to (tan A)^2 or (tan C)^2.

Using the formula of tan: tan A = opposite/adjacent=BC/A Band, tan C = opposite/adjacent=AB/BC.

Thus, tan A = BC/AB tan C = AB/BC Taking the ratio of these two equations, we have: tan A/tan C = BC/AB ÷ AB/BC Tan A * tan C = BC^2/AB^2So, the product of tan A and tan C is equal to `(BC)^2/(AB)^2`.

Answer: `(BC)^2/(AB)^2`.

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The term that best represents the intersection of two pages of an open book is point.

A third item made up of everything that is simultaneously contained in all of the other things is called an intersection of two or more objects in mathematics. In Euclidean geometry, for instance, the intersection of two lines in a plane that are not parallel is where they come together. More broadly, the set of elements that are a part of all of the sets is what is meant by the intersection of sets in set theory. The items being considered do not need to be in a shared space, unlike the Euclidean concept.

A point is the most frequent shape for an intersection in plane geometry, while there are other shapes that can be used as well. An intersection is an item of lesser dimension that is incident to each in incidence geometry, which is typically applied to flats.

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