A stick 1 meter long casts a shadow 0.6 meters long. A building casts a shadow 25 meters long. How tall is the building (to 2 decimal places)

Answers

Answer 1

Answer:

41.67

Step-by-step explanation:

Using the tangent on the stick with shadow:

tan(θ) = [tex]\frac{1}{0.6}[/tex]

Using the tangent on the building:

tan(θ) = [tex]\frac{h}{25}[/tex]

⇒ h = 25 · tan(θ)

       = 25 · [tex]\frac{1}{0.6}[/tex]

⇒ h = 41.66... ≈ 41.67


Related Questions

Which expressions are equivalent to
-1/3(12-9+6x)

Answers

Answer:

-2x-1

Step-by-step explanation:

first you simplify what is inside the parenthesis to get: -1/3(6x+3)

then, you distribute the -1/3 to each of the numbers inside the parenthesis to get: -2x-1

When ordering pizzas, 5 pizzas cost $60. Does this mean 9 pizzas will cost $100? Write a proportion and use cross products.

Answers

Answer:

108$.

Step-by-step explanation:

how can i show the value that 1/10 of 0.5

Answers

Answer:

[tex]\frac{1}{10} * 0.5 = 0.05[/tex]

Step-by-step explanation:

The problem asks "what is the value of _____ of _______"

Step 1: Know The word "of" means to multiply.

So you just need to multiply the first number by the second number.

Example:

The value of 1/6 of 4 is 1/6 * 4 = 2/3.

1/2divided by 4/9 and its answer write it in a mixed fraction

Answers

Answer:

1 1/8

Step-by-step explanation:

1/2 ÷ 4/9

= 1/2 × 9/4

= 9/8

= 1 1/8

Answer:

[tex]1\frac{1}{8}[/tex]

Step-by-step explanation:

hope this helps have a good rest of night :)❤

Can someone please help me with this?

Answers

Step-by-step explanation:

4a - 5b = 7

substract 4a from both sides

4a - 5b - 4a = 7 - 4a

positive 4a with negative 4a

5b = 7 - 4a

devide both sides by 5

[tex] \frac{5b}{5} = \frac{7 - 4a}{5} [/tex]

[tex]b = \frac{7 - 4a}{5} [/tex]

A regular polygon has an exterior angle of 40
°

Work out the number of sides of the polygon.​

Answers

Answer:

9 sides

Step-by-step explanation:

The sum of the exterior angles of a polygon = 360°

To find the number of sides n divide the sum by 40°

n = 360° ÷ 40° = 9

9
The exterior angles of any regular polygon must add up to 360. Since the angle measure given in the questions is 40, take 360/ 40= 9. Meaning there are 9 exterior angles and therefore 9 sides to the polygon.

Which equations represent circles that have a diameter of 12 units and a center that lies on the y-axis? Select two options.

x2 + (y – 3)2 = 36
x2 + (y – 5)2 = 6
(x – 4)² + y² = 36
(x + 6)² + y² = 144
x2 + (y + 8)2 = 36

Answers

Answer:

x2 + (y + 8)2 = 36

Step-by-step explanation:

:) took the test

The equations which represent circles that have a diameter of 12 units and a center that lies on the y-axis are x² + (y – 3)² = 36 and x² + (y + 8)² = 36.

What is the Standard form of a Circle?

Standard form of a circle is given by the equation,

(x - h)² + (y - k)² = r²

where, (h, k) is the center of the circle and r is the radius of the circle.

Given that,

A circle has a diameter of 12 units.

So radius = 12 / 2 = 6 units

Center of the circle lies on the Y axis.

So the x coordinate of the center of the circle will be 0.

So, in (h, k), h = 0

So the equation will be of the form,

(x - 0)² + (y - k)² = 6²

x² + (y - k)² = 36

Hence the options are x² + (y – 3)² = 36 and x² + (y + 8)² = 36.

Learn more about Equations of Circles here :

https://brainly.com/question/29288238

#SPJ7

Petro's family went out to eat. The bill for the food was 36.25. The restaurant tax was 3.37 and Petro left a tip for 5.75. What is the best estimate for how much the meal cost altogether?

Answers

Answer:

45.37

Step-by-step explanation:Based on the given conditions, formulate:

5.75

+

36.25

+

3.37

Calculate the sum or difference:

42

+

3.37

Calculate the sum or difference:

45.37

get the result:

45.37

7x+1/3=2 2/3
Help me please

Answers

7x + 1/3 = 2 2/3
7x = 7/3
x = 1/3
x is equal to 1/3
x= 1/3

Please help!!! 30 points and brainliest!!

Solve for ‘x’
-6x = -5x - 9

Answers

[tex]-6x = -5x -9 \\\\\implies -6x +5x = -9 \\\\\implies -x = -9 \\\\\implies x =9[/tex]

(btw when it just has the "-" that is a line to separate them and for the -x = -9, they are divided by -1 sorry if that confused you before.)

Answer:

x = 9

Step-by-step explanation:

-6x = -5x -9

+5x   +5x

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

-x = -9

---    ----

-1      - 1

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

x = 9

Hope this helps!!^^ plz mark brainliest?

The graph of the line y= 3 is a line that has which of the following characteristics?
O parallel to the y -axis
O passing through the point (5,0)
O parallel to the x-axis
O passing through the origin

Answers

The characteristics of the horizontal line graph, y = 3 is that it is:

c. parallel to the x-axis

Recall:

The equation of a horizontal line graph is represented as y = k; where k is the point on the y-axis intercepted by the line.Horizontal line graph is always parallel to the x-axis.

The graph of the line, y = 3 is shown in the diagram attached below. From the graph, k is 3 (on the y-axis) and it is parallel to the x-axis.

Therefore, the characteristics of the horizontal line graph, y = 3 is that it is:

c. parallel to the x-axis

Learn more about horizontal line graph on:

https://brainly.com/question/15616095

Please anyone I’m desperate

Answers

Answer:

the answer is B) 12a+6b

Step-by-step explanation:

3+9=12 so 3a+9a=12a,

7-1=6 so 7b-(1)b=6b

Step-by-step explanation:

calm down ! just breathe.

these are totally simple additions and one also very simple subtraction to make.

you know that you can combine terms based on the same variable, right ?

3a + 9a = 12a

7b - b = 6b

the result is then

12a + 6b, so B is the right answer.

this bases already on the same principle of actual numbers.

2×3 + 5×3 = 7×3 because this is also

(2 + 5) × 3

or

6×5 + 6×3 = 6×8 because this is also

6 × (5 + 3)

or

7×8 - 4×8 = 3×8 because this is also

(7 - 4) × 8

and so on.

please help out for a brainly
show work!!

Answers

Answer:

Step-by-step explanation:

y=−5/2x−11 so slope is -5/2

y-intercept means when x is zero, then what is y? the answer is -11. So the y-intercept is (0 , 11)

mark brainliest plz

There is a line that includes the point (5, -7) and has a slope of -1. What is its equation in slope-intercept form?

Answers

y + 7 = -1(x - 5)

y + 7 = -x + 5

y = -x - 2

d
=

(
x
2

x
1
)
2
+
(
y
2

y
1
)
2
Evaluate
d
if
(
x
1
,
y
1
)
=
(

3
,
4
)
and
(
x
2
,
y
2
)
=
(

2
,
4
)
.

Answers

Please comment on this so I can see the full question

Find the cartesian product Ax B of the following sets a) A = {x:x=1,2,3},b{y:y=3-x}​

Answers

Answer:

Step-by-step explanation:

A=(1,2,3)

B=(0,1,2)

A×B=(1,2,3)×(0,1,2)

A×B=((0,1),(1,1),(1,2),(0,2),(1,2),(2,2),(0,3),(1,3),(2,3))

Please to this step by step with answer

Answers

first you would have to multiply 12 times 5 (60) then multiply 7 times 18 (126) you subtract both [ 126 - 60] = (66) that would be your final answer. They both need to have worked 66 minutes to have the same number of boxes.

Solve for r.
-70 +1 > 22
OR
102 +41 81

Answers

-69>22 or 224 is what I think the answer is not too sure

Suppose that the distance a car travels varies directly with the amount of gasoline it uses. A certain car uses 21 gallons of gasoline to travel 399 miles. How many miles can the car travel if it has 28 gallons of gasoline

Answers

Answer:

6 gallons of gasoline

Step-by-step explanation:

1 gallon = 24 miles

you need to get 144 miles

144 divided by 24 = 6

there fore you need 6 gallons

hope it helps

I need help plz it’s for school plz plz

Answers

Answer:

y = 3x + 1

Step-by-step explanation:

What are the domain and range of f(x) = (one-sixth) Superscript x + 2?

domain: Left-brace x vertical-line x greater-than negative one-sixth right-brace; range: {y | y > 0}
domain: Left-brace x vertical-line x greater-than one-sixth right-brace; range: {y | y > 2}
domain: {x | x is a real number}; range: {y | y > 2}
domain: {x | x is a real number}; range: {y | y > –2}

Answers

The domain and range of the function is domain: {x | x is a real number}; range: {y | y > 2}

Given the exponential function expressed as;

[tex]f(x)=(\frac{1}{6})^x + 2[/tex]

The domain of the function will be the input value "x" for which it exists. For the function given, it exists for any value of "x".

Hence the domain of the function exists on all real numbers. Hence the domain in set notation is domain: {x | x is a real number}

The range of the function will be the output value "f(x)" for which it exists. For the function given, it exists for any value of f(x) greater than 2.

Hence the range of the function exists on any value of f(x) greater than 2. Hence the range in set notation is domain: {y | y >2}

Learn more here: https://brainly.com/question/24041834

Answer:

The answer is C on edge

Step-by-step explanation:

many non-profit groups ask for donations during december. do men give higher monetary donations than women in the month of december? how should we write the alternative hypothesis? let mum be the population mean donation for men and let muw be the population mean donation for women.

Answers

Men will use money for drugs, the women like purse

5
x
:
8
=
7
:
2
Calculate the value of x
.
Give your answer in its simplest form.

Answers

Answer:

Step-by-step explanation:

5x:8=7:2

5x/8=7/2

By Cross Multiplication:

10x=56

x=56/10

x=28/5

If you need to ask any question,please let me know.

what is the answer for k=6x+100

Answers

Answer:

x = k/6 - 50/3

Step-by-step explanation:

K=6x+100

--> Swap sides so that all variable terms are on the left hand side.

6x+100=k

--> Subtract 100 from both sides.

6x=k−100

--> Divide both sides by 6.

6x/6 = k-100/6

--> Dividing by 6 undoes the multiplication by 6.

x = k-100/6

--> Divide k−100 by 6.

Answer : x = k/6 - 50/3

Hope this helps you!

Wha ratio is equivalent to the ratio 6 : 12

Answers

Answer:

1:2

Step-by-step explanation:

1:2 would be a equivilant

also most simplified

Answer:

1 :2

Step-by-step explanation:

What is the sum of the first 12 terms in the series shown below?

1.5 - 4.5 + 13.5 - 10.5 +

Answers

0 i believe is the answer

There is a bag filled with 5 blue and 6 red marbles.
A marble is taken at random from the bag, the colour is noted and then it is replaced.
Another marble is taken at random.
What is the probability of getting at least 1 blue?

Answers

Answer:

5 by 11

6 plus 5 is 11

qn says at least 1 should be blue which will by 5 by 11

Answer:

5/11

Step-by-step explanation:

Because theres 5 blue marbles out of 11

pls help asap MIDSEGMENTS

Answers

Answer:

yyyyyyyyyyyyyyyyyyyyyyyyyyyyyy

Solve the system.
y-x=4
x+y=6

Answers

Answer:

x=1 y=5

Step-by-step explanation:

y=4+x

x=y=6

x+4+x=6

y=4+x

2x+4=6

y=4+x

2x=2

y=4+x

x=1

y=4+x

y=5

x=1

answer this 1 question​

Answers

Answer:

I have attached my answer below.

Step-by-step explanation:

Not sure if its correct or not. Hope this helps!!

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