A building casts a shadow 168 meters long. At the same time, a pole 5 meters high casts a shadow 20 meters long . What is the height of the building ?

Answers

Answer 1

Answer:

42

Step-by-step explanation:

The height of the pole is 4 times shorter than the length of the shadow 20÷5=4

The height of the building must be 4 times shorter than its shadow length 168÷4=42


Related Questions

Evaluate the expression 4 to the power of 3 ÷ (7 − 3) × 2.

Answers

Answer:

5.0625 is 1.5 to the fourth power

Answer:

8

Step-by-step explanation:

4 to the power of 3 is 64.

64 ÷ (7 − 3) × 2

64 ÷ (4) × 2

64 ÷ 8

8

Your answer is 8.

I hope this helps, have a nice day.

On a set of blueprints, the length of a building is 16 inches. The actual building is 85 1/3 feet long. Which of the following is the correct scale?
1:64
1:5
1:32
1:12

Answers

Answer:

1 : 64

Step-by-step explanation:

We require the dimensions to be the same units

1 foot = 12 inches , then

85 [tex]\frac{1}{3}[/tex] feet = [tex]\frac{256}{3}[/tex] × 12 = 256 × 4 = 1024 inches

Scale is then

16 in : 1024 in ( divide both parts by 16 )

= 1 : 64

Please help me with this question...​

Answers

Answer:

my answer is in this picture. sorry about my presentation and English

A table tennis ball has a radius of 2 cm. There are 3 table tennis balls stacked on top of one another in a cylinder that has the same diameter as the table tennis balls. The table tennis balls reach the top and bottom of the cylinder. How much volume is left inside the cylinder when the container is full?

Answers

Answer:

Volume left = 16π cm³ or 50.265 cm³

Step-by-step explanation:

Let's first find the surface area of the tennis ball.

S.A = (4/3)πr³

Radius of a ball = 2 cm

Thus;

S.A = (4/3)π(2)³

S.A = 32π/3

Since there are 3 radius balls that will make the cylinder full, then;

Surface area of 3 balls = 3 × 32π/3 = 32π

Now, formula for volume of cylinder is;

V = πr²h

r = 2 cm

h = 4 × 3 = 12 (since diameter of tennis ball is 4 cm)

Thus;

V = π × 2² × 12

V = 48π

Thus;

Volume left = Volume of cylinder - surface area of 3 balls = 48π - 32π = 16π cm³ or 50.265 cm³

22 dividido en 3 es?

Answers

Answer:

Step-by-step explanation:

7.3

Answer:

7.3

Step-by-step explanation:

22/3 = 22/3

(Decimal: 7.333333)

Add.
3 7/11 + 9 6/11
Write your answer as a mixed number in simplest form.

Help

Answers

Answer:

13 2/11

Step-by-step explanation:

40/11+105/11

145/11

13 2/11

[tex]\huge\textsf{Hey there!}[/tex]

[tex]\mathsf{= \ 3\dfrac{7}{11}+ 9\dfrac{6}{11}}[/tex]

[tex]\mathsf{ 3\dfrac{7}{11} =\boxed{ \bf \dfrac{40}{11}}}[/tex]

[tex]\mathsf{9\dfrac{6}{11}= \boxed{\bf \dfrac{105}{11}}}[/tex]

[tex]\mathsf{= \ \dfrac{(40\times11)+(105\times11)}{(11\times11)}}[/tex]

[tex]\mathsf{40\times11=\boxed{\bf 440}}[/tex]

[tex]\mathsf{105\times11=\boxed{\bf 1,155}}[/tex]

[tex]\mathsf{=\ \dfrac{440+ 1,155}{11\times11} }[/tex]

[tex]\mathsf{11\times11=\boxed{\bf 121}}[/tex]

[tex]\mathsf{\dfrac{440+1,155}{121}}[/tex]

[tex]\mathsf{440 + 1,155=\boxed{\bf 1,595}}\leftarrow\mathsf{Your\ numerator\ (TOP\ number)}[/tex]

[tex]\mathsf{= \dfrac{1,595}{121}}[/tex]

[tex]\mathsf{= 13\dfrac{2}{11}}[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: } \mathsf{\boxed{\bf \dfrac{1,595}{121}\ or\ 13 \dfrac{2}{11}}\\\large\textsf{either one of those should work they equal the same}}}}\huge\checkmark}[/tex]

[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]

[tex]\frak{Amphitrite1040:)}[/tex]

If the equation 2x2+bx+5=0 has no real solutions, which of the following must be true?​

Answers

Answer:

There are no choices but in order to qudratic equation not to have real roots the discriminant must be negative.

d = b² - 2*2*5 = b² - 20

If d < 0, we get:

b² - 20 < 0b² < 20b < |√20|- √20 < b < √20

or

-2√5 < b < 2√5

or

b = (-2√5, 2√5)

Which is NOT a proposition
A. Marlon is eating his lunch
B. Will you be at school tomorrow.
C. The earth is rectangular
D. 10 + 5 = 15

Answers

Answer:the answer is b

Step-by-step explanation:reason being that the question will you be at school tmrw?cat be given a choice to say wether it’s true or false so Yh...I don’t know if that helped

Please help me on this problem, im struggling

Answers

Answer:

a

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

in fact if we look at the graph we can see that sausages are 7.5 % and mushrooms 5%, while in the table this datas are inverted.

Write an equation that passes through the points (3, 6) and (1,-1)

Answers

Finding gradient:

m = y2 - y1
x2 - x1

= -1 - 6
1 - 3

= -7 / (-2)
= 7/2

y = m(x - x1) + y1
y = 7(x - 3) + 6
2
2y = 7x - 21 + 12
2y = 7x - 9

Answer:

y = 7/2x - 9/2

Step-by-step explanation:

y2 - y1 / x2 - x1

-1 - 6 / 1 - 3

-7 / -2

7/2

y = 7/2x + b

-1 = 7/2(1) + b

-1 = 7/2 + b

-9/2 = b


Help someone plsss!!!!!!!!!!

Answers

Answer:

150 degrees.

Step-by-step explanation:

We know, 1 Hour angles = 15 Degrees

So, 10 hour walking = 10*15 = 150 degrees

Hope this will help. Please mark me brainliest.

How many feet is it from goal line to goal line on a regulation football field
that is 100 yards long? It is measured in the

A. tens
B. thousands
C. millions
D. hundreds

Answers

Answer:

D. hundreds

Step-by-step explanation:

if a football field is 100 yards long then it is 300 feet long and that is in the hundreds

find the area of the irregular figure. 2in. 5in. 2in. 4in. 4in. 3in. 3in.​

Answers

The shape can be split into 3 separate shapes:

On the left side a square 3 x 3 = 9 square inches.

The middle rectangle that is 2 x 5 = 10 square inches

The bottom rectangle which is 4 x 4 = 16 square inches

Total area = 9 + 10 + 16 = 35 square inches

Please help me with this!!!!! I don't get it ​

Answers

Answer:

y = -1/7

Step-by-step explanation:

Mathematically, the distance between two points on a coordinate plane can be calculated using the formula;

d = √(x2-x1)^2 + (y2-y1)^2

for the first two points;

(5,y) and (1,4) ; we have

d = √(5-1)^2 + (y-4)^2

d = √(y-4)^2 + 16

For the other two;

(5,y) and (10,-3)

We have ;

d = √(5-10)^2 + (y + 3)^2

d = √(y+ 3)^2 + 25

from the question, these two distances are equal

all we have to do here is to equate the two distances

So we have it that;

(y-4)^2 + 16 = (y + 3)^2 + 25

y^2 -8y + 16 + 16 = y^2 + 6y + 9 + 25

-8y + 32 = 6y + 34

-8y -6y = 34-32

-14y = 2

y = -2/14

y = -1/7

15 cm
10 cm
o
10 cm
Diagram NOT accurately drawn
The diagram shows a sector of a circle, centre 0, radius 10 cm.
The arc length of the sector is 15 cm.
Calculate the area of the sector.

Answers

Answer:

221cm squre

Step-by-step explanation:

evaluate the expression 4(n+5)-8 when n =1/4 and m=0.5

Answers

Answer:

17

Step-by-step explanation:

Given

4(n + 5) - 8m ← substitute n = 0.25, m = 0.5 into the expression

= 4(0.25 + 5) - 8(0.5)

= 4(5.25) - 4

= 21 - 4

= 17

Jenna sells apples and pears. If 20 apples and 60 pears re sold every hour, there will be 80 pears when all the apples are sold. If 60 apples and 20 pears are sold every hour, there will be 400 pears when all the apples are sold. How many pears are there at the stall?

Answers

Answer:

There are 1,360 pears.

Step-by-step explanation:

Suppose that there are P pears and A apples.

We know that:

"If 20 apples and 60 pears are sold every hour, there will be 80 pears when all the apples are sold."

Suppose that all of these are sold after N hours, then:

20*N = A

80*N = P - 80

We also know that:

"if 60 apples and 20 pears are sold every hour, there will be 400 pears when all the apples are sold."

60*N = A

20*N = P - 400

Then we have four equations:

20*N = A

80*N = P - 80

60*N = A

20*N = P - 400

From the first one and the second one, we get:

20*N = A = 20*N = P - 400

A = P - 400

Now we have 3 equations:

80*N = P - 80

60*N = A

A = P - 400

Now we can just replace the third equation into the second one, then we get:

60*N = A = P - 400

Now we have two equations:

80*N = P - 80

60*N = P - 400

Now, remember that we want to find the number of pears, so we want to find the value of P.

To do it, we can take the quotient of the two equations, so we get:

(80*N)/(60*N) = (P - 80)/(P - 400)

8/6 = (P - 80)/(P - 400)

Now we can solve this for P

(8/6)*(P - 400) = P - 80

(8/6)*P - (8/6)*400 = P - 80

(8/6)*P - P = (8/6)*400 - 80

(2/6)*P = (8/6)*400 - 80

P = (6/2)*( (8/6)*400 - 80 )

P = 3*( (8/6)*400 - 80 ) = 1,360

There are 1,360 pears.

help please hurryyyy!!! help pls hurry

Answers

Answer:

3 is 18

4 is 14

5 is 10

6 is 6

I hope this helps

What additional information is needed to prove the triangles congruent by SSS

Answers

Answer:

Angle a = Angle D

Answer:

A: Angle A  Angle D

Step-by-step explanation:


A 45 foot ladder is set against the side of a house so that it reaches up 27 feet. If Nicole grabs the ladder at its base and pulls it 4 feet farther from the house, how far up the side of the house will the ladder reach now? (The answer is not 23 ft.) Round to the nearest tenth of a foot.

Answers

Mark Brainliest please.

Answer : The ladder will reach 20.6 feet.

Explanation:

Refer the image attached for explanation

The ladder will reach a height of 20.6 feet

The given parameters are:

Length = 45-footHeight = 27 feet

Start by calculating how far (d) the ladder is, from the bottom of the house using the following Pythagoras theorem

[tex]45^2 = 27^2 +d^2[/tex]

Collect like terms

[tex]d^2= 45^2 -27^2[/tex]

[tex]d^2= 1296[/tex]

Take square roots of both sides

[tex]d= 36[/tex]

When the ladder is moved 4 feet farther, the new distance becomes

[tex]d= 36+4[/tex]

[tex]d= 40[/tex]

The new height (h) of the ladder is then calculated using the following Pythagoras theorem

[tex]45^2=40^2 + h^2[/tex]

Collect like terms

[tex]h^2 = 45^2-40^2[/tex]

[tex]h^2 = 425[/tex]

Take the square roots of both sides

[tex]h = 20.6[/tex]

Hence, the ladder will reach a height of 20.6 feet

Read more about Pythagoras theorem at:

https://brainly.com/question/654982

Jasmine drew triangles on a globe and on a flat map of the world, as shown below.Which is a true statement comparing Jasmine’s two drawings?

A. The angle sum of the triangle on the globe is equal to the angle sum of the triangle on the map.
B. The angle sum of the triangle on the globe is greater than the angle sum of the triangle on the map.
C. The New York to Buenos Aires line and the Paris to Buenos Aires line intersect at only one point on the map and only one point on the globe.
D. There is only one line connecting New York to Paris on the map but more than one line connecting New York to Paris on the globe

Answers

Answer:

B

Step-by-step explanation:

OEMJIGOVNarioendsdmarfwsipf JUST BELIEVE, also looking is good

The true statements on comparing Jasmine’s two drawings are B and C.

What is Angle Sum Property of a Triangle ?

The sum of a finite traingle's interior angle is equal to 180° and this is called the Angle Sum Property of a Triangle.

It is given in the question

Jasmine drew triangles on a globe and on a flat map of the world

On comparing both the triangle the conclusions are

The triangle drawn on the globe is a spherical triangle and the angle sum of the interior angle will be greater that the two right angles or 180°.

Among the option given this is also true that

The New York to Buenos Aires line and the Paris to Buenos Aires line intersect at only one point on the map and only one point on the globe

Therefore option B and C are both true statement comparing Jasmine’s two drawings .

To know more about Angle Sum Property

https://brainly.com/question/8492819

#SPJ2

Question and choices are in the photo please explain the answer

Answers

Step-by-step explanation:

but sorry i can't get the answer of (2x-1) =3 (x+5) because the answer of this came -16

Berto has $12 to put gas in his car. If gas costs $3.75 per gallon, which ordered pair relating number of gallons of gas, x, to the total cost of the gas, y, includes the greatest amount of gas Berto can buy?



(__,__ )

Answers

Answer:

If gas costs $3.75 per gallon and Berto has $12, then he can purchase 12/3.75 gallons. This is approximately 3.2 gallons. So the coordinate on this line would be (3.2, 12).

Actually... It's from web

the answer is (3.2,12)

Can someone help please

Answers

Answer:

geometric

common ratio 2/3

Step-by-step explanation:

We know that the sequence is not arithmetic

3-2 =1

2-4/3 = 6/3 -4/3 = 2/3

The common difference is not the same

Now check geometric

The common ratio:

Take the second term over the first term

2/3

Now take the third term over the second term

4/3 ÷ 2

4/3 * 1/2 = 2/3

The common ratio is the same so the sequence is geometric with a common ratio of 2/3

work out the m and c for the line: y=x-7

Answers

Answer:

Step-by-step explanation:

Compare the given y = x - 7 to the general slope-intercept formula

                                 y = mx + b

Here the slope is 1 and the y-intercept, b, is -7.

Answer:

Step-by-step explanation:

Slope - y intercept form : y = mx +c

y = x - 7

m = 1

c = -7

the difference of two numbers is 13/24. if 11/12 of the reciprocal of one number is equal to 5/9 of the reciprocal of the other, what are the 2 numbers?

Answers

Answer:

The two numbers are 11/8 and 5/6

Step-by-step explanation:

Let the unknown numbers be x and y

Given that the difference of two numbers is 13/24

x - y = 13/24

and  that 11/12 of the reciprocal of one number is equal to 5/9 of the reciprocal of the other

11/12 * 1/x = 5/9 * 1/y

11/12x = 5/9y

cross multiply

12x * 5 = 11* 9y

60x = 99y

x = 99y/60

= 33y/20

substitute into x - y = 13/24

33y/20 - y = 13/24

13y/20 = 13/24

24y = 20

y = 20/24

= 5/6

x = 33y/20

= 33 *5/20*6

= 11/8

1. Find the numbers a, b, c such that
2x4 + 2x3 +5x2 + 3x + 3 = (x2 + x +1)(ax2+bx+c)
for all values of x.​

Answers

Answer:

a = 2

b = 0

c = 3

Step-by-step explanation:

if I understand correctly the problem should look like

2x⁴ + 2x³ + 5x² + 3x + 3 = (x² + x + 1)(ax² + bx + c)

let's calculate the right side

ax⁴ + ax³ + ax² + bx³ + bx² + bx + cx² + cx + c

as there is only one term of x⁴, we know a = 2

as there is only one term without any x, we know c = 3

now we get

2x⁴ + 2x³ + 2x² + bx³ + bx² + bx + 3x² + 3x + 3

remember, that is equal to

2x⁴ + 2x³ + 5x² + 3x + 3

after subtracting 2x⁴ and 3 from both sides we get

2x³ + 5x² + 3x = 2x³ + 2x² + bx³ + bx² + bx + 3x² + 3x

we subtract 2x³ and 3x from both sides and get

5x² = 2x² + bx³ + bx² + bx + 3x² = 5x² + bx³ + bx² + bx

we subtract 5x² from both sides and get

0 = bx³ + bx² + bx

=> b must be 0 to make this true for all values of x

What is The answer , what goes in the QR

Answers

may be QR also equal to 34

A particular strain of bacterium has 20 bacteria in generation 1 and triples in
population every generation. The explicit formula for the number of bacteria
in generation n is:
a(n) = 20-3(n-1)
How many bacteria are in generation 9?
A. 480
B. 131,220
C. 6561
D. 393,660

Answers

It would be D if I’m correct

The graph shown below represents the rate at which water drains from a tank once the drain is opened which statement correctly describes the graph


A. The water is draining at constant rate of 1/2 gallon per minute, and the tank contained exactly 14 gallons when the drain opened

B. The water is draining at a constant rate of 2 gallons per minute,and the tank contained exactly 14 gallons when the drain was opened

C. The water is draining at a constant rate of 5 gallons per minute, and the tank contained exactly 14 gallons when the drain was opened

D.the water is draining at a constant rate of 14 gallons per minute, and the tank contained exactly 1/2 gallon when the drain was opened

Answers

Answer:

A

Step-by-step explanation:

The slope is -1/2 and the y-intercept is 14

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