A 30-m tall building casts a shadow. The distance from the top of the building to the tip of the shadow is 32 m. Find the length of the shadow. If necessary, round your answer to the nearest tenth.

Answers

Answer 1

Answer: 11.1 m

Step-by-step explanation:

This can be solved by the Pythagorean theorem where;

c² = a² + b²

c is the hypotenuse which is the distance from the top of the building to the tip of the shadow.

a is the height

c is the length

32² = 30² + b²

b² = 32² - 30²

b² = 1,024 - 900

b² = 124

b = √124

b = 11.1 m

A 30-m Tall Building Casts A Shadow. The Distance From The Top Of The Building To The Tip Of The Shadow

Related Questions

a red die and a blue die are rolled. you win or lose money depending on the sum of the values of the two dice.if the sum is 5, 6, or 8, you win $5.if the sum is 4, 9, or 10, you win $2.if the sum is any other value (2, 3, 7, 11, or 12), you lose $4.let x be a random variable that corresponds to your net winnings in dollars. what is the expected value of x?

Answers

The expected value of your net winnings, x, is $1.39.

To find the expected value of x (net winnings), first calculate the probability of each outcome and multiply it by the respective winnings. There are 6 sides on each die, so there are 36 possible outcomes (6 sides on red die * 6 sides on blue die).

1. Winning $5: Sum of 5, 6, or 8 has 4+5+5 = 14 successful outcomes. Probability = 14/36.
2. Winning $2: Sum of 4, 9, or 10 has 3+4+3 = 10 successful outcomes. Probability = 10/36.
3. Losing $4: Sum of 2, 3, 7, 11, or 12 has 1+2+6+2+1 = 12 successful outcomes. Probability = 12/36.

Now, multiply each probability by its respective winnings/loss and sum them to find the expected value of x:

E(x) = ($5 * 14/36) + ($2 * 10/36) + (-$4 * 12/36) = $1.39

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How is a treaty defined?.

Answers

A treaty is defined as a peaceful accord closed between States written down and represented by worldwide regulation, whether typified in a solitary instrument or in at least two related instruments and whatever its specific assignment.

Treaty is an exceptionally misconstrued term, so we really want a meaning of deal that is exact and definitive. The definition that makes reference is the one tracked down in the Vienna Show on the Law of Deals of 1969.

Presently, there is likewise a Vienna Show of 1986 which manages understanding among States and worldwide associations, however for the essential definition manages arrangement between States. The necessities are:

the understanding should be in writing the arrangement should be represented by global regulation, and that implies that it makes regulations and commitments under worldwide lawthe name (assignment) of the understanding isn't significant (an "Trade of Notes" likely could be a treaty) the structure might be that of at least one related reports, for instance a trade of letters (two records) can frame a solitary deal.

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how do i turn -187/2 into a decimal? :) thxs for helping if u do btw

Answers

Answer:

-93.5

Step-by-step explanation:

Divide -187 by 2

Suppose that the weights of 2700 registered female Great Danes in the United States are
distributed normally with a mean of 133 lb. and a standard deviation of 6.4 lb.
Approximately how many of the Great Danes weigh less than 126.6 lbs.? SHOW WORK!

Answers

Answer:

To solve this problem, we can use the cumulative distribution function (CDF) of the normal distribution.Given:

Mean (μ) = 133 lb

Standard Deviation (σ) = 6.4 lb

Weight (X) = 126.6 lb

We can use the formula for the standard normal distribution to calculate the z-score:

z = (X - μ) / σ

Plugging in the values, we get:z = (126.6 - 133) / 6.4 = -0.984375

Now, we can use a standard normal distribution table or a calculator with a built-in normal distribution function to find the cumulative probability (P) associated with the z-score of -0.984375.

Using a standard normal distribution table, we find that the cumulative probability for a z-score of -0.984375 is approximately 0.1611.

So, approximately 16.11% of the registered female Great Danes in the United States weigh less than 126.6 lbs.

Step-by-step explanation:

5 weeks 4 days -3 weeks 6 days. _____________

Answers

Answer:

1 week 8 days

that's the pattern

subtract 2 weeks add 2 days

brainliest would be nice

have a nice day

Step-by-step explanation:

Answer:

8 weeks

Step-by-step explanation:

What is the missing reason for the 3rd step in the proof below?
A. If two lines are parallel, then alternate interior angles are congruent
B. Corresponding angles theorem
C. Vertical angles are congruent
D. If two lines are parallel, then alternate exterior angles are congruent

What is the missing reason for the 3rd step in the proof below?A. If two lines are parallel, then alternate

Answers

Answer:

The missing reason for the 3rd step in the proof below is;

C. Vertical angles are congruent

Step-by-step explanation:

In the two column proof, we have;

Statement   \({}\)            Reason

1. AB ║ CD   \({}\)           1. Given

2. ∠3 ≅ ∠7   \({}\)           2. Corresponding angles theorem

3. ∠7 ≅ ∠6   \({}\)           3. Vertical angles are congruent

4. m∠3 = m∠7   \({}\)      4. Definition of congruence    

m∠7 = m∠6

5. m∠3 = m∠6    \({}\)      5. Substitution

6. m∠3 ≅ m∠6    \({}\)     6. Definition of congruence

Vertical angles are the angles formed on the opposite sides of two straight lines when they cross each other

Other vertical angles in the diagram are;

1) ∠5 and ∠8

2) ∠1 and ∠4

3) ∠2 and ∠3

Tracey paid $155 for an item that was originally priced at $520. What percent of the original price did Tracey pay? Around to the nearest tenth of a percent

Answers

You adding , subtracting , multiplying or dividing ?

Tracey paid approximately 29.8% of the original price for the item.

To find the percentage of the original price that Tracey paid, we can use the formula:

Percentage = (Amount Paid / Original Price) * 100

Let's plug in the given values:

Percentage = (155 / 520) * 100

Percentage = 0.2980769230769231 * 100

Percentage ≈ 29.8%

So, Tracey paid approximately 29.8% of the original price for the item.

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Solve the two-step equation and identify the steps. 1. 4x 6. 1 = –7. 9 1. The first step is to on both sides. 2. The second step is to on both sides. The solution is x =.

Answers

The solution of the given equation will be X=-10

What will be the solution to the given equation?

It is given that

\(1.4x+6.1=-7.9\)

Now by taking 6.1 to the right of the equal sign it will become negative

\(1.4x=-7.9-6.1\)

Now the equation will become

\(1.4x=-14\)

\(x=\dfrac{-14}{1.4}\)

\(x=-10\)

Thus  the solution of the given equation will be X=-10

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What is the length of JK¯¯¯¯¯, to the nearest tenth of a millimeter? 4.5 mm 5.6 mm 8.3 mm 19.9 mm A horizontally-aligned scalene triangle J K L. Side J L is labeled as 3 millimeters. Side L K is labeled as 5 millimeters. Angle L is labeled as 62 degrees.

Answers

Answer:

5 = side a

3 = side c

angle B = 62 degrees

JK is side b

Use the Law of Cosines to find the length of side b.

b^2 = a^2 + c^2 − 2ac cos(B)

b^2 = (5^2 + 3^2) − ( 2 x 5 x 3) cos(62°)

b^2 = (25 + 9) − 30 x 0.469

b^2 = 34 - 30 x 0.469

b^2 = 34 - 14.084

b^2 = 19.916

b = √19.916

b = 4.463

Rounded to the nearest tenth is 4.5 mm.

Hope this helps!

Step-by-step explanation:

Answer:

4.5 mm

Step-by-step explanation:

Is it possible to construct a triangle with sides 4 cm 5 cm and 4.5 cm justify?

Answers

Yes is it possible to construct a triangle with sides 4 cm 5 cm and 4.5 cm

What is Triangle?

A triangle is a polygon with three vertices and three sides. The angles of the triangle are formed by the connection of the three sides end to end at a point. The triangle's three angles add up to 180 degrees in total.

Concept:

Yes. It is possible to construct a triangle with lengths of its sides 4 cm,5 cm and 4.5 cm because the sum of two sides of a triangle is greater than the third side.

A triangle cannot be constructed if the two sides' sum equals the third side because then the two sides will also be the third side. As a result, for the triangle to be created, the sum of the two sides must be greater than the third side.

Any two triangle sides' lengths added together always equal the third side.

The triangle inequality can be used to calculate the best upper estimate of the size of the sum of two numbers in terms of the sizes of the separate numbers in mathematical analysis. if and only if the vector y is a nonnegative scalar of the vector x.

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Lily has 76 stars brandon has 100 times more how many stars does Brandon have

Answers

76x100= 7600
Explanation:

helpppp pleaseeeeeeeeeee

helpppp pleaseeeeeeeeeee

Answers

Answer:

y=5

Step-by-step explanation:

if the slope is 0, its just a horizontal line passing through 7,5

have a good day lovely :)

type of item counts per minute (cpm) background source counts per minute (cpm) type of radiation source 1 fiesta-ware plate 167 alpha, beta, and gamma source 2 instant coffee 34 beta source 3 salt substitute 26 beta source 4 smoke alarm 31 alpha source 5 cream of tartar 33 beta (1pts) which is most radioactive?

Answers

The most radioactive item among the given sources is the fiesta-ware plate with 167 counts per minute (cpm). It emits alpha, beta, and gamma radiation.

The fiesta-ware plate has the highest counts per minute (cpm) with 167, indicating it has the highest level of radiation. It also emits alpha, beta, and gamma radiation, which are all types of radiation. The other sources have lower cpm values, with instant coffee at 34, salt substitute at 26, smoke alarm at 31, and cream of tartar at 33. Source 2 and Source 3 emit beta radiation, while Source 4 emits alpha radiation. Therefore, the fiesta-ware plate is the most radioactive item in the list.

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Despite a wide variety of workplaces for those working in Human Services, all workplaces include

comfortable areas for interactions amongst people.
a variety of medical testing equipment.
desks where clients can sit across from the worker.
toys and exercise equipment for children.

Answers

Answer:

a  variety of medical testing equipment.

Step-by-step explanation:

Answer:

c hope this helps if wrong please tell me

Step-by-step explanation:

PLEASE HELP IM DOING IT RIGHT NOW

PLEASE HELP IM DOING IT RIGHT NOW

Answers

Answer:

To find the product of 568.32 and \(10^{4}\), move the decimal point in 568.32 4 places to the right because \(10^{4}\) has 4 zeros.

Step-by-step explanation:

\(10^{4}\) = 10000

568.32 · 10000 = 5683200

the decimal point moved 4 places to the right because 10000 has 4 zeros.

hope this helps!

the straight line L has the equation 4y=5x+3. Point A has the coordinates (3,-2) Find the equation of the line straight line that is perpendicular to L and passes through A. Write your answer in the form y-mx+c where m and c are decimals or fractions {3 marks}

Answers

Answer:

y = - \(\frac{4}{5}\) x + \(\frac{2}{5}\)

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Rearrange 4y = 5x + 3 into this form by dividing the 3 terms by 4

y = \(\frac{5}{4}\) x + \(\frac{3}{4}\) ← in slope- intercept form

with slope m = \(\frac{5}{4}\)

Given a line with slope m then the slope of a line perpendicular to it is

\(m_{perpendicular}\) = - \(\frac{1}{m}\) = - \(\frac{1}{\frac{5}{4} }\) = - \(\frac{4}{5}\) , thus

y = - \(\frac{4}{5}\) x + c ← is the partial equation

To find c substitute (3, - 2) into the partial equation

- 2 = - \(\frac{12}{5}\) + c ⇒ c = - 2 + \(\frac{12}{5}\) = \(\frac{2}{5}\)

y = - \(\frac{4}{5}\) x + \(\frac{2}{5}\) ← equation of perpendicular line

Find the length x. .

Find the length x. .

Answers

Answer:

6.5

Step-by-step explanation:

6.5 should be the answer

Shawn is typing a paper for class. He can type 1 2/7 pages in 1/3 of an hour. How many pages can Shawn type in one hour? A. B. C. D.

Answers

Answer:

5 1/7 pages in one hour. And what does "A.B.C.D." Mean?

Step-by-step explanation:

the power to which a number or expression is raised

Answers

The power to which a number or expression is raised is called the exponent.

1. An exponent is a mathematical notation that represents the power to which a number or expression is raised. It is written as a superscript number or variable placed above and to the right of the base number or expression.

2. The base number or expression is the number or expression that is being multiplied repeatedly by itself, raised to the power of the exponent.

3. The exponent tells us how many times the base number or expression should be multiplied by itself. For example, in the expression \(2^3\), the base is 2 and the exponent is 3. This means that 2 should be multiplied by itself three times: 2 * 2 * 2 = 8.

4. The exponent can be a positive whole number, a negative number, zero, or a fraction. Each of these cases has different interpretations:

  - Positive exponent: Indicates repeated multiplication. For example, \(2^4\)means 2 multiplied by itself four times.

  - Negative exponent: Indicates the reciprocal of the base raised to the positive exponent. For example, \(2^{-3\) means 1 divided by \(2^3\).

  - Zero exponent: Always equals 1. For example, \(2^0\) = 1.

  - Fractional exponent: Represents a root. For example, \(4^{(1/2)\)represents the square root of 4.

5. Exponents follow certain mathematical properties, such as the product rule \((a^m * a^n = a^{(m+n)})\), the quotient rule \((a^m / a^n = a^{(m-n)})\), and the power rule \(((a^m)^n = a^{(m*n)})\).

Remember to use these rules and definitions to correctly interpret and evaluate expressions involving exponents.

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Random question anybody answer i give brainliest

Answers

what's your favorite food or drink?

Answer:

Are you ok

Step-by-step explanation:

brainliest

HELP
H E L P !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

HELP H E L P !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

subject?

Step-by-step explanation:

Left on together, the cold and hot water faucets of a certain bathtub take 4 minutes to fill the tub. If it takes the hot water faucet 9 minutes to fill the tub by
itself, how long will it take the cold water faucet to fill the tub on its own?
O
Do not do any rounding.

Answers

This query relates to prices. Let's use the rate for a cold tap to represent Rc and hot water to represent Rh.

What is meant by denominator?The lowest number in a fraction, or denominator, in mathematics indicates the number of equal pieces into which an object is divided. It acts as the fraction's divisor. In this case, the denominator is 4, indicating that there are four pieces in total. When a fraction has a denominator, which is always the lowest number, we can refer to it as the fraction's divisor. The quantity into which an object is divided into equal parts is specified.

Therefore,

Since R = V/t, where t is the fill-in time, determines the rate at which the volume V tab is filled. The following can be written for both of them:

Rc = V/17

Rh = V/t

Rc + Rh = V/7

where t is the time that we need to find.

V/17 + V/t = V/7

Divide both sides by V to get:

1/17 + 1/t = 1/7

Rearrange:

1/t = 1/7 - 1/17

Bring to common denominator:

1/t = (17 - 7)/(7*17) = 10/119

Take an inverse:

t = 119/10 = 11.9 minutes.

The complete question is?

Left on together, the cold and hot water faucets of a certain bathtub take 7 minutes to fill the tub. If it takes the cold water faucet 17 minutes to fill t?

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Can someone help me on this mess...

Can someone help me on this mess...

Answers

Answer:

sas

Step-by-step explanation:

Answer:

one attachment ex picture

The measures of two interior angles of a triangle are 108° and 54°. What is the measure of the third angle?
A. 18°
B. 38°
C. 54°
D. 108°

Answers

Answer:

Answer is 18 degree as per the question

Answer: A. 18°

Step-by-step explanation:

Your formula is 108°+54°+X=180°
To find X, add 108° & 54°. The sum is 162°.
Next you need to subtract your sum from 180°.
180°-162°=18°
X=18°

Jonah bought 3 packages of hot dogs and 2 packages of hot dog buns and paid $21.90. He went back and purchased 2 more packages of hot dogs and 5 more packages of hot dog buns and paid $23.40. ASSUMMING THERE WAS NO CHANGE IN THE INDIVIDUAL COST OF EACH ITEM:
What is the cost per package of hot dogs and hot dog buns?
IT IS NOT $7.30 AND $3.65!!!

Answers

Answer:

b = $2.40

d = $5.70

Step-by-step explanation:

d = hot dog and b = hot dog buns

Equations:

2d + 5b = $23.40

3d + 2b = $21.90

-------------------------------subtract these two equations

-d + 3b = $1.50

3b - $1.50 = d

Substitute:

3d + 2b = $21.90

3(3b - $1.50) + 2b = $21.90

9b - $4.50 + 2= $21.90

11b = 26.40

b =  $2.40

Substitute again but this time with b:

3d + 2b = $21.90

3d + 2($2.40) = $21.90

3d + $4.80 = $21.90

3d = $21.90

d = $5.70

2/5÷3/4 what’s the answer ?

Answers

Answer:

8/15

Step-by-step explanation:

dividing fractions you must take the reciprocal of the second fraction and then multiply it by the first fraction leaving us with

2/5 x 4/3=

8/15

²/₅ ÷ ³/₄
=
²/₅ × ⁴/₃

=

2×4
-------
5×3

=

8
-----
15

Find the derivative of the following function. f(x)=6x^4 −38x+e^3 : f' (x)=__

Answers

The derivative of f(x) is:

f'(x) = 24x^3 - 38

To find the derivative of the function f(x) = 6x^4 - 38x + e^3, we differentiate each term separately using the rules of differentiation.

The derivative of 6x^4 with respect to x is:

f'(x) = 4 * 6x^3 = 24x^3

The derivative of -38x with respect to x is:

f'(x) = -38

The derivative of e^3 with respect to x is:

f'(x) = 0

Putting it all together, the derivative of f(x) is:

f'(x) = 24x^3 - 38

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MARK YOU BRAINLIST It takes Pervis 20 minutes to ride his bicycle 1.5 miles to school each day. How far can Pervis ride in one hour if he continues to travel at this speed?
A. 4.5 miles
B. 7.50 miles
C. 0.4 miles
D. 5.625 miles

Answers

Answer:

4.5 miles

Step-by-step explanation:

so basically 1 hour equals 60 minutes so we divide 60 by 20 because he can ride 1.5 miles in 20 minutes. so 60/20 is 3 and now all we do is multiply 1.5 by 3 which gives us 4.5.

PLEASE HELP ME ASAP!

PLEASE HELP ME ASAP!

Answers

Answer:

B

Step-by-step explanation:

because its collecting the data, asking the 6th graders how they get to school

Mr. Hart asked students to find the volume of the triangular prism below. Which student wrote the correct expression for the value of B, the area of the base?

Answers

Answer:

Omar

Step-by-step explanation:

Given

See attachment for prism

Required

Whose expression is correct

The base of the attached prism is a triangle that has the following dimension.

\(Base =7cm\)

\(Height = 24cm\)

So, the area is:

\(Area = \frac{1}{2} * Base * Height\)

\(Area = \frac{1}{2} * 7 * 24\)

Comparing the expressions of Omar and Kari, we can conclude that Omar is correct

Mr. Hart asked students to find the volume of the triangular prism below. Which student wrote the correct
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Write a ten sentence story that begins with the following line: I blinked, and everyone was gone. Worth 30 points please help A nurse is using the Braden scale to predict the pressure ulcer risk of a client in along-term care facility. Using this scale, which of the following parameters should thenurse evaluate?a) Incontinenceb) Mental Statec) Nutritiond) General Physical Condition what does the word stringent mean in this sentence?several governments around the world have stringent laws, so citizens of these countries must make sure they follow the laws exactly as they are written.strictstrictobsoleteobsoleteapplicableapplicablequestionable The essence of strategy is _________ __________ propositions.-Customer-Value nombre que reciben los textos en los que predomina la intencin de explicar un tema? pls what is the mood of quezon Someone van help me? Please Start at (10, 10). Move 5 units left and 5 units up. Where do you end up? PLEASE HELP! (20 POINTS) George obtains income and consumes over two periods. His income is M1 in period 1 and M2 in period 2. The (borrowing and saving) interest rate is r.(i) [6 marks] Write down Georges intertemporal budget constraint and illustrate it on a graph with period 1 on the horizontal axis and period 2 on the vertical axis. Indicate the endowment point on the graph. How much could George consume in period 1 if he decided to consume zero in period 2? Indicate the corresponding point on the graph.(ii) [6 marks] Suppose that George is initially a saver. Show graphically that his saving can increase if the interest rate r decreases. Which effect dominates if Georges saving increases following a fall in r, the substitution effect or the income effect? Explain. Slaves state and free states which of the following is not a reason why companies prefer certain accounting methods? a. asset structure. b. political costs. c. bonus payments. d. smooth earnings. What is the final concentration of a solution prepared by diluting 35.0 mL of 12.0 M HCl to a final volume of 1.20 L Kyle spent 37 minutes swimming last night. How many seconds did hespend swimming? Charles spearmans concept of g is most accurately defined as:. Why might a sociologist study bulimia and anorexia?A. They are types of mass media that impact the economy of asociety.B. They are smoking-related diseases that impact the health andeconomy of a society.C. They are eating disorders that impact the health of a society.D. They are medical treatments that impact the health of a society. What is the social issues around fingerprinting and other ways thegovernment confirms individual identification, considering issues such as too muchgovernment On interval 0 x < 2, where are the x-intercepts of y = cos(2x)? startfraction pi over 2 endfraction and startfraction 3 pi over 2 endfraction 0, , and 2 startfraction pi over 2 endfraction, pi and startfraction 3 pi over 2 endfraction. Why is the reversed Carnot cycle executed within the saturation dome not a realistic model for refrigeration cycles?