A pole that is 3.3 meters tall casts a shadow that is 1.36 meters long. At the same time, a nearby building casts a shadow that is 47.75 long. How tall is the building?

Answers

Answer 1

Answer:

Height of building is 115.86 m.

Step-by-step explanation:

This is problem of proportion.

a:b = c:d

____________________________________________________________

height of pole = 3.3 m

length of shadow of pole = 1.36 m

ratio

height of pole: length of shadow of pole = 3.3 : 1.36

________________________________________________

let the height of building= x m

length of shadow of building= 47.75 m

ratio

height of building: length of shadow of building= x: 47.75

ratio in both the cases will be same

thus,

x/47.75 = 3.3 / 1.36

=> x = 3.3 / 1.36 * 47.75 = 115.86

Thus, height of building is 115.86 m.


Related Questions

Determine the standard form of the equation of the line that passes through (-7,8) and (0,2)

Answers

7y+6x-14=0

Step-by-step explanation: if we know two coordinates of a line.

Answer:

6x+7y=14

Step-by-step explanation:

graphed using desmos, answer for edge 2021

If 10-6 is 4, what is 14-9?

Answers

Answer:

14-9 would be 5.

14 - 9 = 5! Take away 9 from 14 and it leaves you with 5.

A car is traveling at 60 mph and is tailgating another car at distance of only 30 ft. If the reaction time of the tailgater is 0.5 seconds ( time between seeing the brake lights of the car ahead flash and hitting the brake ), how far will his car travel during his reaction time ?

Answers

Answer:

44 ft

Step-by-step explanation:

We are given that;

Speed; v = 60 mph

Reaction time;t = 0.5 s

Now, we know that;

Distance = speed x time

Since time is in seconds, let's convert speed to mph to ft/s

From conversion,

1 mph = 1.46667 ft/s

So, 60 mph would give;

60 × 1.46667 ≈ 88 ft/s

Thus, distance his car travels during his reaction time is;

Distance = 88 × 0.5 = 44 ft

Simplify the Expression *

Answers

Answer:

16√3

Step-by-step explanation:

(4√6)(2√2)

4*2√6*2

8√12=8√4*3=8*2√3

16√3

how?? help on 51. please! Thank you

Answers

Answer:

A is incorrect

Step-by-step explanation:

when you see -(- it makes the thing plus sign/positive

A is the correct answer

What are the factors for x(5x+4)-(5x+4)

Answers

Answer:

(5 x + 4) (x - 1)

Step-by-step explanation:

Factor the following:

x (5 x + 4) - (5 x + 4)

Hint: | Pull a common factor out of x (5 x + 4) - (5 x + 4).

Factor 5 x + 4 out of x (5 x + 4) - (5 x + 4), resulting in (5 x + 4) (x - 1):

Answer: (5 x + 4) (x - 1)

These are my questions.
Someone should please help ​

Answers

Step-by-step explanation:

The third one is not clear hence i couldn't answer it the rest i did

is 3/8 rational or irrational

Answers

Answer:

Step-by-step explanation:

rational because 3/4 is rational.

As regards if the fraction 3/8 is a rational or irrational number, the correct answer is that it is a rational number.

Why is 3/8 a rational number?

Rational numbers are numbers and fractions that are finite in nature. This means that they do not keep on going with non zero digits.

When converted to a decimal, the number 3/8 is:

= 3/8

= 3 ÷ 8

= 0.375

3/8 does not repeat so it is a rational number.

Find out more on rational numbers at https://brainly.com/question/12088221.

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Bags of sugar come in 3 sizes. Small bag: A 175 g bag costs 45p. Medium bag: A 420 g bag costs £1.13. Large bag: A 1.2 kg bag costs £2.99. Find the cost per gram for each bag of sugar. Round your answers to 3dp.

Answers

Answer:

a 3.889

b 3.735

c 4.013

Step-by-step explanation:

a. 45p is 0  175/45=3.889

b  420/113= 3.735

c1.2kg= 1200g /299 =4.013

/ means divide

if the area of a rectangle is square meters, then the length is 10 meters and the width is 2 meters

Answers

━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━  

To find the area of a rectangle or square, you multiply the length by the height.

The length is 10 meters and the width is 2 meters.

10 times 2 is 20.

The rectangle is 20 square meters.

━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━  

The required area of the rectangle is 20 square meters.

Given that,
If a rectangle's area is square meters, then the length is 10 meters and the width is 2 meters.

What is a rectangle?

The rectangle is 4 sided geometric shape whose opposites are equal in length and all angles are about 90°.

Here,
area of the rectangle is given as
Area = length × width
Area = 10 × 2
Area = 20

Thus, the area of the rectangle is 20 square meters.

learn more about rectangles here:

brainly.com/question/15019502

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What is g(4) if g(x)=x^2-5

Answers

Answer:

g(4)=11

Step-by-step explanation:

g(4)

g(x)=x^2-5

We know x equals 4 so substitute

g(4)=4^2-5

g(4)=16-5

g(4)=11

A farmer was dividing up his one-eighth of an acre of land between his 6 children. Since each child got the same amount of land, what fraction of the acre did each get?

Answers

Answer:

1/48

Step-by-step explanation:

A farmer was dividing up his one-eighth of an acre of land between his 6 children.

We are told each child got: the same amount of land. Hence,

1/8 of 1 acre =

1/8 acre of land

Divide 1/8 acre of land by 6 children

1/8 ÷ 6

1/8 × 1/6

= 1/48

Hence, the fraction of the acre of the land that each child got = 1/48

Use the ALEKS calculator to find 35% of 89. Do not round your answer.

Answers

The answer is 31.15! Hope this helps!

8 \cdot 10^48⋅10 4 8, dot, 10, start superscript, 4, end superscript is how many times as large as 4\cdot10^{-5}4⋅10 −5 4, dot, 10, start superscript, minus, 5, end superscript?

Answers

Answer:

[tex]\bold{2\cdot10^9}[/tex]

Step-by-step explanation:

The given expression s are:

[tex]8 \cdot 10^4[/tex] and

[tex]4\cdot10^{-5}[/tex]

To find:

[tex]8 \cdot 10^4[/tex] is how many times  as large as [tex]4\cdot10^{-5}[/tex].

Solution:

Let [tex]8 \cdot 10^4[/tex] is [tex]x[/tex] times as large as [tex]4\cdot10^{-5}[/tex].

So, we can say that:

[tex]8 \cdot 10^4[/tex]  = [tex]4\cdot10^{-5}[/tex][tex]\times[/tex] [tex]x[/tex]

OR

[tex]x= \dfrac{8\cdot 10^4}{4\cdot 10^{-5}}[/tex]

Let us have a look at the formula for exponents:

[tex]\dfrac{x^p}{x^q} = x^{p-q}[/tex]

Here we have:

[tex]x=10\\p=4\ and\\q=-5[/tex]

Solving the expression using above formula:

[tex]\Rightarrow x= \dfrac{8}{4}\cdot 10^{4-(-5)}} = \bold{2\cdot10^9}[/tex]

So, Let [tex]8 \cdot 10^4[/tex] is [tex]\bold{2\cdot10^9}[/tex] times as large as [tex]4\cdot10^{-5}[/tex]

Answer: 5 is your answer!

Step-by-step explanation:

Question 3
Round to the nearest tenth.
8.001 - (-3.4062) =

Answers

8.001 + 3.4062 = 11.4072
We add because subtracting a negative changes the sign to a positive. The tenths place is the first decimal place. Therefore, the answer is:
11.4

WY bisects UV at Y. If
UY = 2x +1 and YV = x+7, find
UV.

Answers

Answer:

3x + 8

Step-by-step explanation:

Since, WY bisects UV at Y.

Therefore,

UV = UY + YV

UV = 2x + 1 + x + 7

UV = 2x + x + 1 + 7

UV = 3x + 8

The measure of length UV given that UY = 2x +1 and YV = x+7 is 3x + 8

To bisect a given line means to divide the line into two equal parts.

If WY bisects UV at Y, then:

UY + YV = UV and UY  = YV

Given the following parameters:

UY = 2x +1

YV = x+7

Required

UV

Substitute the given parameters into the formula shown above:

2x + 1 + x + 7 = UV

Collect the like terms

2x + x + 1 + 7  UV

3x + 8 = UV

Swap

UV = 3x + 8

Hence the measure of length UV is 3x + 8

Learn more here: https://brainly.com/question/17430417

find the slope of the line through (-4, 2) and (5,8) on a coordinate plane

Answers

Answer: m = 2/3

Step-by-step explanation: Use the slope formula to find the slope m.

: m = slope :

: slope of a line : m = rise/run = y2-y1/x2-x1 :

: (x1,y1) : coordinates of first point in the line :

: (x2,y2) : coordinates of second point in the line :

I hope this helps you out.

Answer:

Slope = 2 / 3

Step-by-step explanation:

Slope = (y2-y1) / (x2-x1)

y2 is the y coordinate of the second ordered pair and y1 is the y coordinate of the first ordered pair. x2 is the x coordinate of the second ordered pair and x1 is the x coordinate of the first ordered pair.

          =(8-2) / (5+4)

          = 6 / 9

Slope = 2 / 3

verbal expression for each algebraic expression 23f

Answers

It would be “Twenty-three f.”

In the function f(x) = 4x -2, which of the following is the name of the function?

Answers

Answer:

The name of the function is linear function.

Step-by-step explanation:

A linear function is the function representing a straight line.

A linear function is used to define the relationship between a dependent variable and independent variable.

The general form of a linear function is:

y = m·x + c

Here,

y = dependent variable

x = independent variable

m = slope

c = intercept

The function provided is:

f (x) = 4·x - 2

The above function is similar to the linear function's general form.

The slope of the provided function is 4 and the intercept is -2.

Thus, the name of the function is linear function.

how do I solve this?​

Answers

Answer:

17

Step-by-step explanation:

x^2 + 2y^2

Let x=3 and y =2

3^2 + 2 ( 2)^2

Exponents first

9 + 2* 4

Then multiply

9+8

Then add

17

Answer:

17

Step-by-step explanation:

● x^2 + 2y^2

Replace x by 3 and y by 2

● (3)^2 + 2×(2)^2

● 9 + 2 × 4

● 9 + 8

● 17

Use
with numbers. Use
with shapes.

Answers

Answer:

Can you clarify?

Step-by-step explanation:

100 POINTS PLEASE PLEASE HELP I NEED THE ANSWER ASAPP ;(

Answers

Answer:

y < -1/4 x +1

Step-by-step explanation:

Find two points on the dotted line

( 0,1) and  (4,0)

We can use the slope formula

m = ( y2-y1)/(x2-x1)

    = (0-1)/(4-0)

    = -1/4

The slope is -1/4

The y intercept is where it crosses the y axis  or 1

The equation of the line, using slope intercept form

y = mx+b

y = -1/4x +1

The line is dotted which means there is no equals, just greater than or less than.  It is shaded below which means less than

y < -1/4 x +1

Answer:

[tex]y<-\frac{1}{4}x+1[/tex]

Step-by-step explanation:

First, let's find the equation of the line.

From the graph, we can pick out two points to use: (0,1) (the y-intercept) and (4,0) (the x-intercept).

Find the slope. Let (0,1) be x₁ and y₁ and let (4,0) be x₂ and y₂

Find the slope:

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

Substitute:

[tex]m=\frac{0-1}{4-0}\\m=-1/4[/tex]

Use the slope-intercept form:

[tex]y=mx+b[/tex]

Where m is the slope and b is the y-intercept.

We already know the slope is -1/4 and the y-intercept is 1. So, substitute:

[tex]y=-\frac{1}{4}x+1[/tex]

Now, replace the equal sign with an inequality. Note that the line is dotted, so we won't use "or equal to." Also note that the blue, shaded area is below the line. Thus, we will use less than. Therefore:

[tex]y<-\frac{1}{4}x+1[/tex]

The sentences:

First, we picked out two points from the graph. Next, we used those two points to find the slope. We used the slope and one of the points to write our slope-intercept equation. Afterwards, we can determine from the graph that since the shaded area is below the dotted line, the equation must have a less than.

A bowl contained 28.2 grams of salt. Christine poured in another 57.04 grams. How much salt does the bowl contain now?

Answers

Answer:

85.24 grams

Step-by-step explanation:

28.2 + 57.04 = 85.24

The length of a rectangle is 8 cm longer than twice the width. If the perimeter is 34 cm, find the dimensions of the rectangle.

Answers

Answer:

length = 14 cmwidth = 3 cm

Step-by-step explanation:

Perimeter of a rectangle = 2l + 2w

where

l is the length

w is the width

From the question

Perimeter = 34 cm

The statement

The length of a rectangle is 8 cm longer than twice the width is written as

l = 8 + 2w

Substitute this expression into the above formula and solve for the width

That's

34 = 2( 8 + 2w) + 2w

34 = 16 + 4w + 2w

6w = 18

Divide both sides by 6

w = 3

Substitute this value into l = 8 + 2w

That's

l = 8 + 2(3)

= 8 + 6

l = 14

The dimensions are

length = 14 cm

width = 3 cm

Hope this helps you

what is the slope ? y + 6 = 3 (x + 1)

Answers

I hope this helps you

y+6=3x+3

y=3x-3

in formula m is y=mx+b

m=3

Answer:

3

Step-by-step explanation:

Slope is the coefficient of x, m in the form of y = mx + b

y + 6 = 3(x +1)y + 6 = 3x + 3y = 3x - 3

Slope of this function is 3

The sum of three intergers is 242. The 2nd number is 3 more than twice the first and the 3rd number is 9 less than 5 times the first. Find the numbers​

Answers

Answer:

31, 65, 146

Step-by-step explanation:

math

CHEM HELP !!!!!

LOOK AT THE PIC ABOVE PLEASE !!!!!! I’ll VENMO

Answers

Answer:

There is no picture for the help you need :(

There’s no picture above to help you

Help if you can please!!

Answers

Answer: Choice (B)25b^2+40b+23

===================================================

Work Shown:

c(b) = 5b

h(b) = b+4

h(c(b)) = c(b)+4 ... replace every b with c(b)

h(c(b)) = 5b+4 ... replace c(b) on the right hand side with 5b

For the sake of simplicity, let's call "h(c(b))" as k

k = h(c(b))

k = 5b+4

that way we can use it later in the next section

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

a(b) = b^2 + 7

a(k) = k^2 + 7 ... replace b with k

a(k) = (5b+4)^2 + 7 ... plug in k = 5b+4

a(k) = 25b^2+40b+16+7 .... use FOIL rule

a(k) = 25b^2+40b+23

a( h(c(b)) ) = 25b^2+40b+23

In that last step, I replaced k with h(c(b)) so that we get to the original format your teacher wanted.

I'm so confused. Please help,thanks!

Answers

Y= 49 degrees
Isosceles triangles which are triangles that have two side of equal length will also have two angles that are equal. Since you know BC=CD that means their corresponding angles are equal. To set this up you can do:
180=2Y+82
Solve for Y. 180 because a triangles angles add up to 180. Then subtract 82 on both sides. Which gives you 98. Then you divide 98 by 2. And that will give you 49.

Divide $700 in the ratio 5:3:2 (S​

Answers

Answer:

350:210:140

Step-by-step explanation:

5+3+2=10, so we need 10 equal parts

700÷10=70

5x70=350

3x70=210

2x70=140

350:210:140

Answer:

Explanation: 5:3:2 means 5+ 3+ 2 = $10 is devided into $5,$3,$2. Therefore $700 is divided in ratio (5:3:2) as 700 10 ⋅5 = $350, 700 10 ⋅ 3 = $210 and 700 10 ⋅ 2 = $140

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