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

Solve the problem below, inputting your answer in decimal form.
594 7/25 + 89 37/100

Answers

Answer:

683.65

Step-by-step explanation:

Answer:

683.65

Step-by-step explanation:

Ming drew the model below to represent the equation 24 + 12 = blank x (8 + 4).

Answers

Answer:

3

Step-by-step explanation:

24+12 = 36

8+4 = 12

36 = _ x 12

_ is 3 since 3x12 = 36

Answer:

Ming drew the model below to represent the equation 24 + 12 = blank x (8 + 4).

Step-by-step exMing drew the model below to represent the equation 24 + 12 = blank x (8 + 4).planation:

Answer this math problem if you love to mama

Answers

Answer:

Answer is 50°.

The interior angles are supplementary.

Answer:

LET THE UNKNOWN ANGLES BE X THEN,

X+130°=180°

REASON=BEING SUM OF COINTERIOR ANGLES IS EQUAL TO 180°)

X=180°-130°

X=50°answer...

What is the first step of the following division problem?

Answers

Answer:

There is no picture

Step-by-step explanation:

But... if i were to answer to any problem first thing u do is set it up with the numbers when doing long division

what is 5/2x-7=3/4x+14? help please

Answers

Answer:

x=12

Step-by-step explanation:

How to do this question plz answer ​

Answers

Answer:

$6.00

Explanation:

10% of 200 is 20

20/30 = $.6666

Each parent gets $0.67 off.

$200/30 = $6.6666

$6.6666 ---> $6.67

6.67 - 0.67

= 6.00

Check:

6.00 * 30 = 180

200-180 = 20

Consider Brainliest! Hope I helped!

Answer:

Each parent pays an amount of £6.

Step-by-step explanation:

Cost of the hall = £200

Discount for parents = 10%

Cost of the hall for parents

= 200 - 10% of 200

= 200 - 10/100 × 200

= 200 - 10 × 2

= 200 - 20

= £180

If 30 parents share the cost equally,

Each parent has to pay

180/30

= 18/3

= 6

Line p passes through point (0, 8) and is perpendicular to the graph of y = 1/4 x + 2. Line q is parallel to line p and passes through point (-3, 6). Which is the equation of line q in slope-intercept form? A. y= 1/4x+6 B. y = -1/4 x + 8 C. y = 4x – 8 D. y=-4x - 6​

Answers

Answer:

A

Step-by-step explanation:

Because when the line passes through (0,8) with perpendicular to the graph of y =1/4 x =2 it equals y+1/4x+6.

The equation of line q in slope-intercept form is y = -4x - 6 if the line p passes through the point (0, 8) and is perpendicular to the graph of y = 1/4 x + 2.

What is a straight line?

A straight line is a combination of endless points joined on both sides of the point.

The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).

The slope 'm' of any straight line is given by:

[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]

It is given that:

Line p passes through the point (0, 8) and is perpendicular to the graph of y = 1/4 x + 2.

The slope of the line p is:

m(p) = -4

The slope of the line q parallel to line p:

m(q) = -4

The equation of the line q:

y - 6 = -4[x + 3]

Line q passes through the point (-3, 6).

The equation of the line:

y = -4x - 12 + 6

y = -4x - 6

Thus, the equation of line q in slope-intercept form is y = -4x - 6 if the line p passes through the point (0, 8) and is perpendicular to the graph of y = 1/4 x + 2.

Learn more about the straight line here:

brainly.com/question/3493733

#SPJ2

The order pairs (1, 2), (2, 5), (3, 10), (4, 17), and (5, 26) represent a function. What is a rule that could represent this function?

A. y = x2 + 1
B. y = x2 − 1
C. y = x2
D. y = x + 1

Answers

Answer:

The answer is A

Step-by-step explanation:

1 to the second power is 1 + 1 = 2

2 to the second power is 4 + 1 = 5

3 to the second power is 9 + 1 = 10

4 to the second power is 16 + 1 = 17

5 to the second power is 25 + 1 = 26

y = x² + 1 is a rule that could represent the given function.

Given that,
The order pairs (1, 2), (2, 5), (3, 10), (4, 17), and (5, 26) represent a function, what is a rule that could represent this function is to be determined.

What are functions?

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Here,
While observing the pattern of pair it is found that every ordinate is 1 more the square of its abscissa, so the general equation for the function is given as,
y = x² + 1

Thus,  y = x² + 1 is a rule that could represent the given function.

Learn more about function here:

brainly.com/question/21145944

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20 POINTS! What is the ANSWER?

Answers

Answer: The first one

Step-by-step explanation:

Answer:

Sin(33°) = x\14

Step-by-step explanation:

coz sin = p\h

don't guess!! pls help!!
THERE'S 4 IMAGES.

Answers

Answer:

pic one is rock cycle, pic 2 crystaline structure, and pic three and 4 are the same pictures as question 2

Step-by-step explanation:

A TV program is edited for broadcasting and 17% of the original is cut.
The program is now 1 1/2 hours long. How long was the original program IN HOURS.
(basically 1 1/2 increased by 17%)
PLS answer quick:)

Answers

1 ½ x 117% = 1hr 45mins


Please help!! I need the answer and the explanation on how to do this

Answers

Answer:

the first one

Step-by-step explanation:

y=3x+2

2x+y=-4

becomes

3x+2=y

2x+4=-y

add them

5x+6=0

5x=-6

x=-5/6

take x and replace it for one equation

y=-8/5

Your literature class will read 4 novels this year, chosen by class vote from a list of 7 possible books offered by the teacher.
a) How many different ways could the course unfold, given that it probably matters what order you read the books in?
b) How many different choices of books could the class make?
a) The number of different ways the course could unfold is

Answers

Answer:

a) 840 different ways

b) 35 different choices of books

Step-by-step explanation:

We know that our literature class will read a total of 4 novels this year.

All novels chosen by class vote from a list of 7 possible books offered by the teacher.

Wherever we have an experiment [tex]''N''[/tex] which is formed by sub - experiments that can occurred in [tex]m_{1},m_{2},...,m_{n}[/tex] ways, the total number of ways in which the whole experiment [tex]''N''[/tex] can be developed is :

[tex]m_{1}[/tex] x [tex]m_{2}[/tex] x ... x [tex]m_{n}[/tex]

Then, for a) if it matters what order we read the books in, the total number of different ways could the course unfold is :

[tex](7).(6).(5).(4)=840[/tex] (I)

Because for the first book there are 7 different choices. Now, given that we choose the first book, we only have 6 different choices for the second one.

Continuing with the idea, we deduce the equation (I).

For item b) :

Wherever we have [tex]''n''[/tex] different objects and we want to find the ways that we can choose [tex]''r''[/tex] objects from that group, we need to use the combinatorial number.

We define the combinatorial number as :

[tex]nCr=\left(\begin{array}{c}n&r\end{array}\right)=\frac{n!}{r!(n-r)!}[/tex]

Then, if we apply this to the problem, the total different choices of books if we want 4 novels voting from a total of 7 possible books is :

[tex]7C4=\frac{7!}{4!(7-4)!}=35[/tex]

a) 840 different ways

b) 35 different choices of books

PLEASEEEE HELPPPPPPP ASAPPPPP

Answers

Answer:

x>-1

Step-by-step explanation:

first, you have to distribute. 12x+8-6>2x-16+8

then you have to combine like terms 12x+2>2x-8

you put the X's on one side 10x+2> -8

move the 2 to the -8 10x>-10

divide x>-1

Answer:

Number 2. x>-1

Step-by-step explanation:

4(3x+2) is 12x+8. 12x+8-6 is 12x+2.

12x+2>8+2(x-8)

2(x-8) is 2x-16. 2x-16+8 is 2x-8.

12x+2>2x-8

12x>2x-10

10x>-10

x>-1

help please :)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))

Answers

Answer:

c

Step-by-step explanation:

you do 520 divided by two hours

Answer:

208

Step-by-step explanation:

Since it made 520 dives in 5 hours you divide 520/5 which is 104

For two hours you multiply 104*2 = 208

What is the slope of the line represented by the equation 3x - 2y=5

Answers

Answer:

m = 3/2

General Formulas and Concepts:

Pre-Alg

Equality Properties

Alg I

Slope-Intercept Form: y = mx + b

m - slope b - y-intercept

Step-by-step explanation:

Step 1: Define function

3x - 2y = 5

Step 2: Rewrite

Subtract 3x on both sides:          -2y = 5 - 3xDivide -2 on both sides:              y = -5/2 + 3/2xRewrite:                                        y = 3/2x - 5/2

Step 3: Identify

Slope m = 3/2

y-intercept b = -5/2

Guys plz help Answer this QUESTION!!!

Answers

Answer:

I beliEve it is D

Step-by-step explanation:

20 POINTS AND WILL GIVE BRAINLIEST IF MORE THAN ONE ANSWER!
Find the amplitude, the EoA=y, the period, and the phase shift in terms of cosine for this graph.

Answers

Answer:

Step-by-step explanation:

or

Step-by-step explanation:

has:

1) amplitude=|a|

2) phase shift=b

3) period=2pi/c

d) vertical shift=d

--------------------------------------------------

You are given the amplitude is 2. This means a could either be 2 or -2.

You are given phase shift is -1/8. This means b is -1/8.

You are given the period is pi. So we need to solve pi=2pi/c.

pi=2pi/c

Dividing both sides by pi gives:

1=2/c

Multiply both sides by c gives:

c=2

The vertical shift is -2 so d=-2.

The equation could either be:

y=2cos(2(x-(-1/8)))-2

or

y=-2cos(2(x-(-1/8)))-2

Simplifying a little gives:

y=2cos(2x+1/4)-2

y=-2cos(2x+1/4)-2

−4y−4+(−3)
i need help solving this

Answers

Answer: The answer is negastive 11 although I am not one thousand percent sure that this is the answer, if it is not the correct anser then please tell me and I can get the corecct anwer for you!

negative 11 is the answer

PLZ HELP OMG!! I’ll mark Brainliest to whoever gives correct answer first!!!

Answers

Answer:

Step-by-step explanatioThe chosen topic is not meant for use with this type of problem. Try the examples below.

2

(

x

2

1

)

=

16

,  

(

0

,

4

)

 

8

=

2

(

3

x

+

3

)

2

,  

(

1

,

3

)

x

(

x

+

4

)

=

24

,  

(

2

,

9

)

n:

A hospital bill is estimated to be $480.00. It ends up actually costing the patient $524.50. What is the percent of error in the bill? Round to the nearest tenths place.

Answers

Answer: 8.484%

Step-by-step explanation:

The formula for percentage error is calculated as:

= (actual value observed - expected value) / expected value × 100

where,

Actual value observed = $480.00

Expected value = $524.50

Percent error = ($480.00 - $524.50)/$524.50 × 100

= -$44.50/$524.50 × 100

= -0.08484 × 100

= -8.484

= 8.484%

Plzzzzzzzz helpppppppppp plzzz like really fast

Answers

-4(4 + 2x) = 1/3 wx - 16
-16 - 8x + 16 = wx/3
3 (- 8x) = wx
-24x = wx
-24 = w

I hope this helps!

In right triangle XYZ, the tangent of acute angle X is 4. What is the secant of angle X?

Answers

Answer:

The secant of angle x; sec x = √17

Step-by-step explanation:

Here, given the tangent of an angle, we want to find the value of the secant

Mathematically;

sec^2 x = 1 + tan^2 x

This is from trigonometric identity

Thus;

sec x = √(1 + tan^2 x)

According to the question;

tan x = 4

So tan^2 x = 4^2 = 16

Thus;

sec x = √1 + 4^2

sec x = √17

Jim opens a CD with $5000 and earns interest at an apt of 5.25%. How much interest would be earned and what would be the balance if he keeps the money in the account for 2 years?

Answers

Answer: Interest = $5.25, balance = $5005.25

Step-by-step explanation: PLease mark as brainist

Juan rented a chainsaw from Steve's Tools. It cost $19 plus $6 per hour. If Juan paid
$49, then he rented the chainsaw for how many hours?

Answers

Answer:

2 hours

Step-by-step explanation:

if you do 19x2 then that is 38 and then you have to add 6 dollars per hour so that would be 2 hours

Pls help me

-18x + 30 = -150

Answers

Answer:

x=10

Step-by-step explanation:

-18x + 30 = -150

subtract 30 from both sides = -18x=-180

divide both sides by -18 = x=10

x=10

X=10 is the answer from that

what is the percent of change between 57000 people and 97000 people, and how do I solve it? ​

Answers

Answer:

58.76

Step-by-step explanation:

So, as you can tell 97,000 is the 100 percent of the people, in this case we don't know what 57,000 is. Just divide equation 1 by equation 2. Considering both have the same unit. I'm so sorry, if this doesn't explain the best way.

Eric and Shiloh each have a savings account. The ratio of Eric's balance to Shiloh is 4:3. Together they have a total of $40 in their accounts. How much money does each bar represent

Answers

Answer:

[tex]Eric= \$22.86[/tex]

[tex]Shiloh = \$17.14[/tex]

Step-by-step explanation:

Represent Eric with E and Shiloh with S;

[tex]E:S = 4:3[/tex]

[tex]Total = \$40[/tex]

Required

Determine the how much money each have

We have to convert the ratio to fraction;

For Eric, we have

[tex]Eric= \frac{E}{E + S} * Total[/tex]

[tex]Eric= \frac{4}{4 + 3} * \$40[/tex]

[tex]Eric= \frac{4}{7} * \$40[/tex]

[tex]Eric= \frac{\$160}{7}[/tex]

[tex]Eric= \$22.86[/tex]

[tex]Shiloh = Total - Eric[/tex]

[tex]Shiloh = \$40 - \$22.86[/tex]

[tex]Shiloh = \$17.14[/tex]

If you take -3/10 of a number and add 1, you get 10. Write an equation to represent the situation. What is the original number

Answers

Answer:

(x - -3/10) + 1=10 so it is 9.3

Step-by-step explanation:

Question 8 (1 point)
(03.02 MC)
Given the function f(x) = 2(x + 6), find x if f(x) = 22. (1 point)
56
Ob
Сл.
38

Answers

22= 2(x+6)
divide on both sides by 2
11= x+6
subtract by 6
5=x
i’m not sure if I read the question right though

Answer:

1 question: Question 8 (1 point) (03.02 MC) Given the function f(x) = 2(x + 6), find x if f(x) = 22. (1 point) 56 Ob Сл. 38

Step-by-step explanation:

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