A pole that is 3.1 m tall casts a shadow that is 1.59 m long. At the same time, a nearby building casts a shadow that is 50.75 m long. How tall is the building?
Round your answer to the nearest meter.

Answers

Answer 1

Answer:

92 meters high.

Step-by-step explanation:

 

This problem involves proportion.

 

Let x be the unknown, which is the height of the building.

 

 

height of pole                     =          height of the building

height of the shadow                       height of the shadow

 

3.3 m       =    x          

1.78 m           49. 75 m

 

Solve for x.

 

(3.3 m) (49.75 m)    = x

      1.78 m

 

92.2331460674 = x

 

 

Rounded to the nearest meter, the building is 92 meters high.

 

Hope that helps.


Related Questions

Write <, >, or = draw a quick picture if you need to.

Answers

Look at the attached picture

Hope it will help you.

Answer:

Answer is attached to the picture

hope this helps

brainliest appreciated

good luck! have a nice day!

Use the order of operations to evaluate the expression. 4 × ( 3 4 − 1 2 ) + 3 × 6
A. 19
B. 20 1 2
C. 24
D. 33

Answers

Answer:

19

Step-by-step explanation:

4 × ( 3/ 4 − 1/ 2 ) + 3 × 6

PEMDAS

Parentheses first

4 × ( 3/ 4 − 2/4 ) + 3 × 6

4 × ( 1/4 ) + 3 × 6

Then multiply and divide from left to right

1 + 18

19

will give bianleast 10 ponits
Which equation can be used to find the answer?


A fence with four sections has a perimeter of 43 ft. Three of the sections have lengths of 8 ft, 12 ft, and 11 ft. What is the length of the fourth section?

x = 43 + 8 + 12 + 11

x + 8 + 12 + 11 = 43

x – 8 + 12 +11 = 43

x – 43 = 8 + 12 –11

Answers

Answer:

x + 8 + 12 + 11 = 43

Step-by-step explanation:

The perimeter is the length of the 4 sections of fencing.

If x represents the fourth section and the perimeter is 43, then

x + 8 + 12 + 11 = 43, that is

x + 31 = 43 ( subtract 31 from both sides )

x = 12

The length of the fourth section is 12 ft

Which situation results in a final value of zero?
A. The overall change in temperature when the temperature goes from -10 degrees fahrenheit, to 10 degrees fahrenheit.

B. The total profit made from when a person buys an item for $2.25, and then sells the item for $2.25.

C. The overall change in altitude in a hot air balloon after rising 21 kilometers from sea level.

D. The total distance a person travels when he bikes 3.1 miles to school and the bikes 3.1 miles back home.

Answers

Answer:

B

Step-by-step explanation:

The profit made is equal to 2.25-2.25 which is 0.

The situation "the total profit is made when a person buys an item for $2.25 and then sells the item for $2.25" is result in a final value of zero. which is the correct answer would be an option (B).

What is the distance?

Distance is defined as the product of speed and time.

As per option (A),

The overall change in temperature = 10 - (-10) = 20 degrees

As per option (B),

The profit made is equal to 2.25 - 2.25 = 0 which is zero.

As per option (C),

The overall change in altitude = 21 - 0 = 21 kilometers

As per option (D),

The total distance traveled by person = 3.1 + 3.1 = 6.2 miles

Thus, the situation "the total profit is made when a person buys an item for $2.25 and then sells the item for $2.25" is result in a final value of zero.

Hence, the correct answer would be option (B).

Learn more about distance here:

brainly.com/question/13269893

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Factor completely: b^8+a^2b^4+1/4a^4

Answers

Answer:

(b^4+a^2/2)^2

Step-by-step explanation:

Write a equation for the new circle obtained by translating the circle:

(x-2)^2+(y+4)^2=36 by 6 units to the right and 4 units up

Answers

Answer:

bruvulmuffin

Step-by-step explanation:

what is the explicit formula for this sequence? -6,-2,2,6,10...

Answers

Answer:

4

Step-by-step explanation:

For each number, you have to keep adding a positive 4 to get the next number in he sequence.

In ΔGHI, the measure of ∠I=90°, the measure of ∠G=34°, and HI = 7 feet. Find the length of GH to the nearest tenth of a foot.

Answers

Answer:

GH ≈ 12.5 ft

Step-by-step explanation:

Using the sine ratio in the right triangle

sin34° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{HI}{GH}[/tex] = [tex]\frac{7}{GH}[/tex] ( multiply both sides by GH )

GH × sin34° = 7 ( divide both sides by sin34° )

GH = [tex]\frac{7}{sin34}[/tex] ≈ 12.5 ft ( to the nearest tenth )

Show me how to solve this, please.
[tex](2.7 * 10^{-5}) / (9 * 10^{-6})[/tex]

Answers

Answer:

3

Step-by-step explanation:

2.7 * 10 ^-5 / 9 * 10 ^-6

First divide the numbers

2.7 / 9 = .3

Then divide the exponents

10^-5 / 10 ^ -6

When we divide exponents we subtract

10^(-5 - -6) = 10 ^1

.3 * 10 ^1

But scientific notation has a number between 1 and less than 10

Move the decimal 1 place to the left, so we subtract 1 from the exponent

3 * 10 ^ (1-1)

3 * 10 ^0

I need help ! What's 2+2-8^2+208

Answers

Answer:

148

Step-by-step explanation:

Answer:

148

Step-by-step explanation:

4-64+208=148

Hope this helps...Pls Mark as Brainliest!!

find 2.5 divided by 0.05
A.5
B.50
C.500
D.5000

Answers

Answer:

Step-by-step explanation:

2.5/0.05 = 250/5 = 50

Answer:

2.5/0.05 = 250/5 = 50

Step-by-step explanation:

21:20
In which step did Yvonne first make an error?
Yvonne is solving the quadratic equation 6x2 + 24x + 7 = 0
by completing the square. Her first four steps are shown in
the table.
Yvonne's Work
Step 1
Step 2
Step 3
Step 4
Step 1
Step 2
6x² +24x+7-0
6x² +24x - 7
6(x²+4x) -7
6(x²+4x+4) - 3+24
6(x+2)²-27
Step 3
Step 4
Mark this and return
Save and Exit
Next
Submit

Answers

Answer:

Step 2

Step-by-step explanation:

Given the quadratic equation  6x² + 24x + 7 = 0, the following steps must be followed when finding the roots using the completing the square method.

Step 1: Subtract 7 from both sides

6x² + 24x + 7 - 7= 0 -7

6x² + 24x = -7

Step 2: divide through by the coefficient of x²

6x²/6 + 24x/6 = -7/6

x² + 4x = -7/6

Step 3: Add half of the coefficient of x (i.e 4/2 = 2) to both sides of the equation to complete the square of the equation x² + 4x.

x² + 4x + 2= -7/6 + 2

(x+2)² = -7/6 + 2

(x+2)²  = 5/6

Step 4: taking the square root of both sides

√(x+2)²  = √5/6

x+2 = ±√5/6

x = -2±√5/6

x = -2+√5/6 and -2-√5/6

Based on the conclusion above, it can be seen that Yvonne made the first error in step 2. Yvonne suppose to divide through by the coefficient of x² (i.e 6)

how do you interpret the correlation coefficient?

Answers

Answer:

Perfect:  value is near ± 1

High degree: coefficient value lies between ± 0.50 and ± 1

Step-by-step explanation:

The picture is up there thank you :))

Answers

Answer:

14

Step-by-step explanation:

Do PEMDAS, it helps a lot.

Parenthesis, Exponents, Multiplication, Division, Addition, Subtraction (PEMDAS)

3+ 6 x (5+4) /3 -7

3 + 6 x (9) /3-7

3 + 54/3 - 7

3 + 18 -7

21-7

14

PLEASE ANSWER!!!!! I WILL MARK YOU AS BRAINLIEST!!!!! IT IS HIGHLY APPRECIATED!!! :)

Answers

Answer:

A number less than 4 was rolled 18 times.

The number cube was rolled 50 times. The relative frequency of rolling a number less than 4 is 36%.

for 9-10+3 gives 2 , but doesnt we start from addition , e.g 10+3 is 13 then 9 -13 gives us -4 . can someone explain .​

Answers

9 - 10 + 3 =2

START FROM ADDITION

-10 +3= -7+9= 2

Ur mistake was the negative 10

Find two numbers whose square increased by 15 equals 8 times the number.

Answers

Answer:5 and 3

So we let the number take the letter b, anc the expression of the question is:

b^2+15=8×b.....so

b^2+15=8b

Then we take the 8b to the other side of the equal sign so that it becomes...

b^2+15-8b=0

Hence it becomes a quadatic equation following the principle ax^2+bx+c where x is the unknown...

From there we work out to get two different numbers...either b-5=0

b=5

Or b-3=0

b=3

So the two numbers are 5 and 3

The volume of a cylinder is 576Pi cubic inches. The radius of the circular base is 4 inches. What is the height of the cylinder? Recall the formula V = pi r squared h. 18 inches 24 inches 36 inches 72 inches

Answers

Answer: 36 inches

Step-by-step explanation:

Since we know that the volume of the cylinder is 576π and that the radius is 4 inches, we can fill in the given numbers before solving the unknown.

V = π * 4^2 * h

π(pi) is the same as 3.14

4^2 is the same as 4 * 4 which is 16

Volume = 1,808.64 (576π)

First, we will be replacing the variables with the given numbers:

V = π * 4^2 * h --> 1,808.64 = 3.14 * 16 * h

To get the unknown, we first have to make sure it is by itself. To do that, we must divide 1,808.64 by 3.14 which is 576. Now we have 576 = 16 * h, to get to 'h', we must divide one more time, 576 divided by 16 is 36.

We are left with 36 = h. So the final answer is 36.

Answer:

c

Step-by-step explanation:

please help i will give brainliest, thanks and more points
THESE QUESTIONS ARE FOR THE SHAPE IN THE PICTURE!
1) how many vertices does it have
2) how many total faces, including bases does it have
3) how many edges does this figure have

Answers

Answer:

Vertices: 10

Faces: 7

Edges: 15

Step-by-step explanation:

Answer:

1. 10

2. 7

3. 15

Step-by-step explanation:

Which will hold more juice, 14 cans of 150 ml or 2L bottles?

Answers

14 cans of 150 ml

*Explanation*: if you multiply 14 by 150 you should get 2,100. If you convert this to litters you get 2.1. So the 14 cans of 150 ml should hold more juice, but just a little


Hope this helps :)

Answer:

14 can of 150 ml

Step-by-step explanation:

14 times 150 ml is 2100 ml.

Then you have to convert 2100 into L.

Which will get you 2.1 L

And there is your answer

PLEASE MARK AS BRAINLIEST

Perform the following
mathematical operation, and
report the answer to the
appropriate number of
significant figures.
7.273 - 12.37 = [?]

Answers

Answer:

-5.10

Step-by-step explanation:

shrug

The diagram below shows the rectangle PLUM.
P
L
8
M
U
Find the area of rectangle PLUM.

Answers

Answer:

Area of rectangle PLUM = 75.00 square units

Step-by-step explanation:

Since diagonal of rectangle divides the rectangle into two equal triangles,

Therefore, area of the rectangle PLUM = 2× area of triangle PLM

By the mean proportional theorem,

In ΔPLM,

AP² = AM × AL

6² = AM × 8

AM = [tex]\frac{36}{8}[/tex]

AM = 4.5 units

Area of PLM = [tex]\frac{1}{2}(\text{Base})(\text{height})[/tex]

                     = [tex]\frac{1}{2}(ML)(AP)[/tex]

                     = [tex]\frac{1}{2}(8 + 4.5)(6)[/tex]

                     = 12.5 × 3

                     = 37.5 units²

Now area of rectangle PLUM = 2×37.5 = 75 units²

Therefore, area of the rectangle is 75.00 square units.

Answer: 75

Step-by-step explanation: Khan Academy

what is 1.2 -0.145 because last time I did this I got it wrong

Answers

Answer:

1.055 is the answer

Answer:

1.055

Step-by-step explanation:

1.2-0.145=1.055

Find the missing factor.

(5 + 3) + 8 = 5 + (3 + ? )

Answers

Answer:

8

Step-by-step explanation:

(5 + 3) + 8 = 5 + (3 + ? )

8 + 8 = 5 + (3+x)

16 = 5 +(3+x)

-5. -5

11 = 3+x

-3. -3

8 = x

Or just guess 8 because its addition and it doesn't matter in what they are ordered

To find the missing number, we have to calculate the other side of the equal sign first, which is 16.
Next we calculate the other side which is 8. Now we get the number from the other side which is 16 and subtract 8 which equals 8. Our answer is 8.
To check we insert our answer where the question mark is, and if both sides are equal, then its correct.

there was a seller of horses, who sold all his horses to three people. To the first man he sold half of all his horses and a half of a horse. to the second man he sold half of what he had left and half of a horse. To the third man he again sold half of what was left and a half of a horse. How many horses did he have at first?

Answers

Answer:

17

Step-by-step explanation:

The total number of horses he had at first was 7 horses.

What are word problems?

Word problems in mathematics involve careful understanding and they are those methods we use in solving real-life cases by using:

Basic arithmetic operations, Fractions, and/orAlgebraic expressions etc.

From the given information:

Let the half of all his horses to the first man be x and half of a horse be yLet half of what is left to the second man be z and half of a horse be yLet half of what is left to the third man be a and half of a horse be y.

Then, we can have the system of equations for the three cases to be:

[tex]\mathbf{\dfrac{1}{2}x + \dfrac{1}{2}y = 3 ---- (1)}[/tex]

Making (y) the subject and ignoring (x), we have:

[tex]\mathbf{y = \dfrac{3 - \dfrac{1}{2}}{\dfrac{1}{2}} = 5}[/tex]

y = 5

For the second man;

[tex]\mathbf{\dfrac{1}{2}z + \dfrac{1}{2}y = 3 ---- (2)}[/tex]

[tex]\mathbf{z= \dfrac{3 - \dfrac{1}{2}(5)}{\dfrac{1}{2}} = 1}[/tex]

z = 1

For the third man:

[tex]\mathbf{\dfrac{1}{2}a + \dfrac{1}{2}y = 3 ---- (2)}[/tex]

[tex]\mathbf{a= \dfrac{3 - \dfrac{1}{2}(5)}{\dfrac{1}{2}} = 1}[/tex]

a = 1

Thus, the total number of horses he had at first were:

= 5 + 1 + 1

= 7 horses

Learn more about word problems here:

https://brainly.com/question/13818690

A normal distribution has a mean of 104 and a standard deviation of 1.9.

What is the z-score of 108?

Answers

Answer: approximately 2.11

Work Shown:

x = 108 is the raw score we want to transform

mu = 104 is the mean

sigma = 1.9 is the standard deviation

z = (x-mu)/sigma

z = (108-104)/1.9

z = 4/1.9

z = 2.10526315789473 which is approximate

z = 2.11 rounding to two decimal places

I'm rounding to two decimal places because many z tables will work with this level of precision.

What value is equivalent to the product of 4sqrt(2) and 2 sqrt 6^ ?

Answers

Answer: 4

Step-by-step explanation:

[tex](\sqrt{x} )(\sqrt{2x} )[/tex]

Multiply the values under the root.

[tex]\sqrt{2x*x}\\\sqrt{2x^2}[/tex]

If you separate these into two roots, one of the x's will come out of the root.

[tex]x\sqrt{2}[/tex]

14 Explain why adding 10% GST and then applying a 10% discount does not give you the
pre-GST price.
15 Other countries around the world also have a GST. In Canada the GST is 5%, in New Zealand it is
15% and in Singapore it is 7%.
Explain how you could find the pre-GST price on items sold in each of these countries?

Answers

Answer:

7% because the gst price is sold in cheacb countys

Step-by-step explanation:

because me got big brain

Please help with the last part I don't get ti

Answers

It’s 2/6 sandwiches have turkey and ketchup


If 0 lies in the quadrant IV. What can be the value of cos 0?

Answers

Answer:

Positive one

Step-by-step explanation:

The angle 0 does not lie in any of the four quadrants, it lands directly in between quadrants I and IV. The value of cos 0 is always 1.

Answer:

d) 3/5

Step-by-step explanation:

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Consider, if you will, the following frightful fiends.Atlantic HagfishPart eel, part sea snake, this sea serpent may have inspired many stories. Lacking the scales that most fish have, the hagfish secretes the most amazing slime to protect itself. This slime may be used to suffocate predators. The slime includes small fibers that make it almost impossible to remove. But the hagfish's truly horrific nature lies in what it does to its prey, not its predators. With an excellent sense of smell that compensates for almost total blindness, the hagfish will locate and latch on to a victim. With a circle of razor sharp teeth, the hagfish bores a hole into the side of its now-doomed prey. Once the hole is complete, the hagfish just welcomes itself inside for a meal of fish innards. It essentially eats its prey from the inside out.Like other deep-sea monsters, however, hagfish are seldom a nuisance to humans. They live most of their lives at depths of up to 5,600 feet. In fact, they prefer a soft sea bottom so they can quickly bury themselves to hide from threats.Gulper EelAnother, more hideous, fiend of the deep is the gulper eel. This creepy critter is part eel and part giant pouch. Like a pelican's enormous pouch-shaped mouth, the mouth of the gulper eel can open quite wide to gulp prey. It has a long tail tipped with a glowing organ that is used to lure in prey. Thanks in part to its tail, the gulper can reach up to six feet in length. Because its tail is so thin, it is not able to pursue prey with any speed, but it can scoop up hundreds of small crustaceans or shrimp in one bite. Often swimming through these prey groups with its mouth wide open, its large jaws allow it to feed on squid and other creatures much larger than itself.Gulper eels have only been studied because they sometimes get caught in the nets of fishermen. The depths they inhabit make it quite difficult for scientists to study them. 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