A pole that is 3.3m tall casts a shadow that is 1.53m long. At the same time, a nearby tower casts a shadow that is 47.75m long. How tall is the tower? Round your answer to the nearest meter.

Answers

Answer 1

Answer:

103 m

Step-by-step explanation:

A pole, its shadow and a tower with its shadow form similar right triangles

Let the tower be x m tall

Then as per similarity we have the ratio of corresponding sides:

47.75/1.53 = x/3.3x = 3.3*47.75/1.53x = 103 m rounded to nearest meter

Related Questions

Jocelyn can bake 48 cookies per hour. She needs to bake 120 total cookies and has already baked 24 cookies

Answers

Answer:

Step-by-step explanation:

it will take jocelyn 2 hours to make 120 cookies

What are the next two terms in this sequence: O, T, T, F, F, S, S,E,

Answers

Answer:

The order goes by -

O - one

T - two

T - three

F - four

F - five

S - six

S - seven

The next two numbers are -

E - eight

N - nine

Answer:

N, T

It's like one, two, three, four, five, six, seven, eight, nine, ten.

Find the value of x in the triangle below if y=26°

Answers

Answer:

x=77°

Step-by-step explanation:

The total angle of a triangle is 180°

There is 2x, and y =26°

180-26=154.

2x=154

/2 /2   divided by 2

x=77°

Which of the following shows a translation of f(x) two units down?

Answers

Can you add the pictures please

Answer:

f(x) - 2

Step-by-step explanation:

I just took the quiz

State the percent to the nerest tenth. Original= 311. New=300

Answers

Answer:

3.54%

Step-by-step explanation:

311-300=11

(11/311)×100=3.54  (2 d.p)

Write the relation as a set of ordered pairs.

a ordered pairs: {(-1,-2), (0, 0), (1, 2)}

b. ordered pairs: {(2,-1), (0, 0), (2, 1)}

c. ordered pairs: {(1, 2). (0, 0), (2, 1)}

d. ordered pairs: {(2,-1), (0, 0), (1, 2)}​

Answers

Answer:

A

Step-by-step explanation:

Answer:

Option A

Step-by-step explanation:

it's Y over X

I also took this test on edge :)

Choose an equivalent expression for 106 ÷ 104.

Answers

Answer:

10^2

Step-by-step explanation:

When we divide exponents we subtract the exponenets in the top (in this case 6-4). This will give us 10^2. You can also check this.

The equivalent expression for 10⁶ ÷ 10⁴ will be 10². Then the correct option is A.

What is Algebra?

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

PEMDAS rule means the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.

The numbers are given below.

10⁶ and 10⁴

The division of the numbers 10⁶ and 10⁴ will be given below.

⇒ 10⁶ ÷ 10⁴

⇒ 10⁶ / 10⁴

⇒ 10⁶⁻⁴

⇒ 10²

The equivalent expression for 10⁶ ÷ 10⁴ will be 10². Then the correct option is A.

More about the Algebra link is given below.

https://brainly.com/question/953809

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What is the slope of a line that is parallel to the graph of 5x+4y=y?

Answers

Answer:

-5/3

Step-by-step explanation:

PLEASE HELP NOW!!!
How does the graph of the function f(x + 3) compare to the graph of f(x)?


A.f(x + 3) has a vertical shift 3 units up from f(x).
B.f(x + 3) has a vertical shift 3 units down from f(x).
C.f(x + 3) has a horizontal shift 3 units to the right of f(x).
D.f(x + 3) has a horizontal shift 3 units to the left of f(x).

Answers

A, f(x+3) has a vertical shift up 3 units from f(x)

F and g are functions such that

F(x)=3/x2 and g(x)=2x3

A) find f(-4)
B) find fg(1)

Answers

f(-4) = 3/(-4)(2)
f(-4)= 3/-8

f(g(1))= 3/(2(1)^3)(2)
f(g(1))= 3/(2)(2)
f(g(1))= 3/4

a. The value of f(-4) is [tex]3 \div -8[/tex]

b. The value of fg(1) is [tex]3\div 4[/tex]

Calculation of the value of f(-4) and fg(1):

Since [tex]F(x)=3\div x\times 2\ and\ g(x)=2\times x\times 3[/tex]

So,

a. The value of f(-4) is

[tex]= 3\div (-4)(2)\\\\= 3\div -8[/tex]

And,

b. The value of fg(1) is

[tex]= 3\div (2(1)^3)(2)\\\\= 3\div (2)(2)\\\\= 3\div 4[/tex]

learn more about the function here: https://brainly.com/question/24309536

The blue dot is at what value on the number line?

Answers

Answer: I'm pretty sure the number line goes by 4, so the blue dot is on -10.

Step-by-step explanation:

Lisa bought 5 CDS from a store. The price of each CD was the same. After she bought the CDs, her account balance showed a change of -$64.95. What would have been the change to Lisa’s account balance had she only bought 1 CD from the store?

Answers

Answer:

47

Step-by-step explanation:

They are dumpy because they can’t try

A company is trying to decide which container of coffee to buy for a staff meeting. Which of the following would be the best deal? Hint: find the best unit cost

Group of answer choices

32 ounces for $4.00

60 ounces for $6.75

48 ounces for $5.00

45 ounces for $4.50

Answers

60 ounces would be the best thing for them to get it the cheapest to get the most

eight increased by a number *
O 8n
n - 8
8/n
O
n + 8

Answers

Answer:

n+8

Step-by-step explanation:

"A number" signifies the need for a variable, in this case, n. The keyword increased shows that the operation is addition. So put it together and you get n+8.

Answer:

the answer to it is n + 8. :3

. A bakery sells 1,230 cakes during a holiday season. One-third of them are caramel cakes, one-half are chocolate cakes, and the remaining are banana cakes. What is the total amount earned by the bakery by selling the cakes during the holiday season?

Answers

Answer:

See Explanation

Step-by-step explanation:

Given

[tex]Cakes = 1230[/tex]

[tex]Caramel = \frac{1}{3}[/tex]

[tex]Chocolate = \frac{1}{2}[/tex]

[tex]Banana = ??[/tex]

Required

Determine the total amount earned

The given parameters can't be used to determine the total amount earned.

However, we'll make some assumptions

First, we need to solve for the amount of each cake sold

[tex]Caramel = \frac{1}{3}[/tex]

[tex]Caramel = \frac{1}{3} * 1230[/tex]

[tex]Caramel = 410[/tex]

[tex]Chocolate = \frac{1}{2}[/tex]

[tex]Chocolate = \frac{1}{2} * 1230[/tex]

[tex]Chocolate = 615[/tex]

[tex]Banana = 1230 - 410 - 615[/tex]

[tex]Banana = 205[/tex]

Assume that:

Each caramel were sold at x

Each chocolate were sold at y

Each banana were sold at z

[tex]Total\ Amount = 410 * x + 615 * y + 205 * z[/tex]

[tex]Total\ Amount = 410x + 615y + 205z[/tex]

I would love if someone helps me w this one

Answers

Answer:

2,7 is where the lines intersect

X=2

Y=7

correct me if i am wrong

Step-by-step explanation:

4 1/3 is what type of fraction

Answers

Answer:

A mixed fraction/mixed number

Step-by-step explanation:

Answer: mixed number

A mixed number is a fraction with a whole number, and a fraction. The number 4 1/3 has a whole number, and a fraction.

The answer is mixed number. Hope this helps!

what is x+x+y×y simplified

Answers

Answer:

x+x+yxy

= x^2 + y^2

x^2 + y^2 is the answer.

What is a simplification in math?

In mathematics, genuinely or simplification is reducing the expression/fraction/hassle in a less complicated form. It makes the problem smooth with calculations and fixing.

Does simplifying suggest fixing?

Associated with "simplification" troubles are some "solving" troubles. just as a few expressions include parentheticals or even nested grouping symbols, so additionally do some equations. The simplification manner is identical, whether we're running with expressions (and consequently handiest simplifying) or equations (so we are also solving).

Learn more about simplified here: https://brainly.com/question/723406

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What is the domain of y = csc(x)?

all real numbers

all real numbers except n Pi + Pi/2, where n is any integer

all real numbers except n Pi, where n is any integer

all real numbers greater than 1 or less than -1

Answers

All real numbers except n Pi, where n is an integer. Option C is correct.

What is the difference between domain and range?

The domain denotes all potential x values, while the range denotes all possible y values.

Given function;

y = csc(x)

Anything that is real, excluding n Pi, where n is an integer.

Hence option C is correct.

To learn more about domain and range, refer to https://brainly.com/question/1632425.

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Simplify a - {b - [C- (d - e) -f]-g}.​

Answers

Answer:

C+a−b−d−f+g+e

Step-by-step explanation:

Seven subtracted from twice a number gives 41, find this number.

Answers

2x - 7 = 41
2x = 48
x = 24

Answer:

2x -7 = 41

2x = 41 +7

2x = 48

x = 24

1)Write the ratio of oats to seeds in three different ways 5 cups of oats 3 cups of seeds 1 cup of nuts 2 cups of raisins

Answers

Answer:

5 to 3

5 : 3

5 / 3

Step-by-step explanation:

Given:

5 cups of oats

3 cups of seeds

1 cup of nuts

2 cups of raisins

Write the ratio of oats to seeds in three different ways

Ratios can be written in the form

1. A to B

2. A:B

3. A/B

There are 5 cups of oats 3 cups of seeds

Ratio of oats to seeds can also be written as

5 to 3

5 : 3

5 / 3

1. Which is the smallest set of real numbers that contains the value below? -18 /6
A. Irrational Numbers
B. Rational Numbers
C. Natural Numbers
D. Integers​

Answers

Answer:

Integers

Step-by-step explanation:

The correct option to choose is the integers option. Integers are simply whole numbers.

Thus-18/6 = -3

The term -3 is a whole number

So the term to choose is the integers option

The smallest set of real numbers that contains the value -18 /6 is an integer.

The smallest set of the real number that contains the value -18/6 can be determined after we have simplified the expression -18/6.

To simply the given expression, we will divide both the numerator and the denominator by 6, by doing so, we have:

= -3

Now, the smallest set of the real number is = -3 which is an integer

This is because an integer is a whole number that is not a fraction and can be negative or positive.

The reason why it is not a natural number is because of the negative sign, since we know that natural numbers are numbers with positive signs only.

Learn more about rational and irrational numbers here:

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If 9 bottles of soy sauce cost $32.85 and the price of each bottle is the same, how much does each bottle cost?

Answers

Answer:

$3.65

Step-by-step explanation:

32.85/ 9 = $3.65

Answer:

$3.65

Step-by-step explanation:

this is easy lol

Does anybody know anything about measuring Angles I need help?

Answers

Answer:

yes ....I can help please

let's take the example 2

x° and 68° forms right angle so it's 90°

so we'll add them to find x

x° = 90°- 68° = 22°

1. X = 112

2. X = 22

3. X = 56

4. X = 137, Y = 43, Z = 137

5. X = 108, Y = 72, Z = 47

6. Measure D = 105

7. Measure B = 48

8. Measure P = 116

9. Measure K = 67


Hope this helped :)

Please help I'm trying too keep my grades up I was crying I dont wanna fail ​

Answers

Answer:

No.

Step-by-step explanation:

[tex]10^{4} =(10)(10)(10)(10)\\10^{4} =10000\\[/tex]

[tex](10)(4)=40[/tex]

[tex]10000\neq 40[/tex]. Therefore, [tex]10^{4} \neq[/tex]10x4.

**Exponents expresses how many times the number it multiplied by it's own value. Such as [tex]x^{2}[/tex] is the same as (x)(x) since it is times by itself 2 times. Or, [tex]6^{8}[/tex] is the same as (6)(6)(6)(6)(6)(6)(6)(6) since it is times by itself 8 times.

In the adjoining figure , AB = 6 , BC = 8 , [tex] \angle[/tex] ABC = 90° , BD ⊥ AC and [tex] \angle[/tex] ABD = [tex] \theta[/tex] , find the value of sin [tex] \theta[/tex].

Answers

Here we are given with a triangle with smaller triangles formed due to the altitude on AC. Given:

AB = 6BC = 8<ABC = 90°BD ⊥ AC<ABD = [tex] \theta[/tex]

We have to find the value for sin [tex] \theta[/tex]

So, Let's start solving....

In ∆ADB and ∆ABC,

<A = <A (common)<ABC = <ADB (90°)

So, ∆ADB ~ ∆ABC (By AA similarity)

The corresponding sides will be:

[tex] \sf{ \dfrac{AD}{AB} = \dfrac{AB}{AC} }[/tex]

We know the value of AB and to find AC, we can use Pythagoras theoram that is:

AC = √6² + 8²

AC = 10

Coming back to the relation,

[tex] \sf{ \dfrac{AD}{6} = \dfrac{6}{10} }[/tex]

[tex] \sf{AD = \dfrac{6 \times 6}{10} = 3.6}[/tex]

In ∆ADB, we have to find sin [tex] \theta[/tex] which is given by perpendicular/base:

[tex] \sf{\sin( \theta) = \dfrac{AD}{AB} }[/tex]

Plugging the values of AD and AB,

[tex] \sf{\sin( \theta) = \dfrac{3.6}{6} }[/tex]

Simplifying,

[tex] \sf{ \sin( \theta) = \dfrac{3}{5} = \boxed{ \red{0.6}}}[/tex]

And this is our final answer.....

Carry On Learning !

21000+600+90+90+18=_____
like i dont know

Answers

Answer:

21,798

Step-by-step explanation:

Answer:

21798

Step-by-step explanation:

add them all up step by step

Zhang is designing protective packaging. He tests his design by dropping a raw egg protected by his packaging from various heights. He finds that the egg is protected up to a height of 11 meters. Zhang needs to convert the height from meters to yards for his report.


Unit of Length

Customary System Units

Metric System Units

1 inch

2.54 centimeters

1 foot

0.3048 meters

1 mile

1.61 kilometers


How many yards can the packaged egg drop without breaking? Use the table to find the answer. Round to the nearest hundredth.

10.06 yards

12.03 yards

18.04 yards

36.09 yards

Answers

Answer:

12.

03

Step-by-step explanation:

Carlos spent 1\dfrac141 4 1 ​ 1, start fraction, 1, divided by, 4, end fraction hours doing his math homework. He spent 1\dfrac141 4 1 ​ 1, start fraction, 1, divided by, 4, end fraction as much time practicing piano. How many hours did Carlos spend practicing piano?

Answers

Answer:

Carlos spent [tex]\frac{5}{16}[/tex] hours in practicing piano

Step-by-step explanation:

Carlos spent hours in doing his maths homework =[tex]1 \frac{1}{4}[/tex]

Carlos spent hours in doing his maths homework = [tex]\frac{5}{4}[/tex]

We are given that He spent 1/4 of his time practicing piano

So, Time spent by Carlos in practicing piano = [tex]\frac{1}{4} \times \frac{5}{4}[/tex]

Time spent by Carlos in practicing piano = [tex]\frac{5}{16}[/tex]

Carlos spent hours in practicing piano =  [tex]\frac{5}{16} hours[/tex]

Hence Carlos spent [tex]\frac{5}{16}[/tex] hours in practicing piano

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