Para executar um serviço, o trabalhador apoiou na laje de sua casa a escada de 4,3 m de comprimento como mostra o esquema abaixo: A base da escada, apoiada sobre um piso horizontal está afastada 1,8 m da parede. Qual é a altura aproximada da construção?

Answers

Answer 1

Responda:

3,91 m

Explicação passo a passo:

Dado o seguinte:

Comprimento da escada = 4,3 m

Distância da base da parede = 1,8m

Altura da parede =?

O problema pode ser resolvido usando Pitágoras:

hipoteno = sqrt (oposto² + adjacente ²)

Hipoteno = comprimento da escada = 4,3

4,3 = sqrt (1,8² + altura²)

Quadrar ambos os lados

4,3² = 1,8² + altura²

4,3² - 1,8² = altura²

18,49 - 3,24 = altura²

15. 25 = altura²

Tire a raiz quadrada de ambos os lados

Sqrt (15,25) = altura

Altura = 3,905

Altura = 3,91 m


Related Questions

Jonathan fills 2/5 of a toffe box in 15 seconds. How many boxes can he fill in 10 minutes?

Answers

Answer:

16 boxes in 10 minutes

Step-by-step explanation:

2/5 = 15 sec

15 ÷ 2=7.5              1/5 = 7.5 seconds

7.5 × 5 = 37.5            37.5 = 1 box

60 × 10 = 600 secs

600 ÷ 37.5 = 16

16 boxes of toffee were made in 10 minutes

are the expressions (x + 7) (x - 3) and (x + 7) equivalent expressions? explain

Answers

Answer:

No

Step-by-step explanation:

(x+7)(x-3) are different from (x+7), since they generate a different result when foiling.

Answer:

no

Step-by-step explanation:

just to make you clear...

to check if two terms or expression are equivalent or equal

just divide them and if quotient is 1 then they are equal

but in this case.their quotient will be (x-3)

5. Gaylen works 40 hours every week during the summer and makes $11.50 an hour. In
addition, he earns about $500 selling fireworks on the Fourth of July. How much did he
make during a 12 week period in the summer?
Das Istre
bi
mooni patololes 791)

Answers

R = $11.50/hr
H = 40 hrs per week
D = 12 weeks
Extra = $500

Find how much he earns per week
$ 11.50 x 40 = $ 460.00

How much did he earn in 12 weeks
$ 460.00 x 12 = $ 5,520.00

Add his wage and the extra
$ 5,520.00 + $ 500 = $ 6,020.00

Which phrase matches the algebraic expression below? (1 point) 3(x − 7) + 10 Three times the sum of x and seven plus ten Three times x minus seven plus ten Three times x minus the sum of seven and ten Three times the difference of x and seven plus ten

Answers

Answer:Three times the difference of x and seven plus ten

Step-by-step explanation:

Given f(x) = -x + 2, find f(0)

Answers

Step-by-step explanation:

Using the f(x) defined in the question,

f(0) = -(0) + 2 = 2.

A spinner with 50 evenly sized sections and numbered 1 to 50 is spun. What is the probability that the number spun is 33 given that the number is odd?

Answers

1/50 chance that it’ll land on 33

x/10 + y/1000 = 1

Can you please rewrite this in slope-intercept form


Please help !!!

Answers

Answer: See below

Explanation:

Slope-int form: y = mx + b

x/10 + y/1000 = 1
y/1000 = -x/10 + 1
y = 1000(-x/10 + 1)
y = -100x + 1000

Therefore, y = -100x + 1000

Answer:  

Slope-int form: y = mx + b

x/10 + y/1000 = 1

y/1000 = -x/10 + 1

y = 1000(-x/10 + 1)

y = -100x + 1000

Step-by-step explanation:

Solve for h: 7a=10+2h​

Answers

Answer:

[tex] \frac{7a}{2} - 5 = h[/tex]

Step-by-step explanation:

[tex]7a = 10 + 2h[/tex]

Isolate 2h

[tex]7a - 10 = 2h[/tex]

Divide both sides of the equation by 2

[tex] \frac{7a - 10}{2} = \frac{2h}{2} [/tex]

Simplify

[tex] \frac{7a}{2} - 5 = h[/tex]

o the
What is the x-coordinate of the point plotted below?

Answers

Answer:

The x coordinate is 2

Step-by-step explanation:

Since the point is on 2 of the x-axis. The exact coordinates of that point is (2,0)

The x-coordinate of the point plotted is (2, 0)

What is Coordinate Geometry?

Coordinate system is a system that uses one or more numbers, or coordinates, to uniquely determine the position of the points or other geometric elements on a manifold such as Euclidean space.

We need to find the x-coordinate of the point plotted  in the given graph.

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

The x value of the point (x, y) is known as the abscissa. It represents the distance of the point from the origin or along the horizontal x-axis.

The point is at 2 on x axis and y value will be zero

(2, 0) is the x coordinate of the given point

Hence,  the x-coordinate of the point plotted is (2, 0)

To learn more on Coordinate geometry click:

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Toby is packaging 21 baseball cards and 12 football cards to sell at the swap meet. Each packet will have the same number of cards. Each packet will have the cards for only one sport. What is the greatest number of cards you can place each packet? How many packets would it be for each sport?

Answers

Answer: The greatest number of cards you can place each packet = 3

There would be 7 packets of baseball cards and 4 packets of football cards.

Step-by-step explanation:

Given: Number of baseball cards =21

Number of  football cards = 12

Each packet will have the same number of cards.

Each packet will have the cards for only one sport.

Then, the greatest number of cards you can place each packet  = GCD (21,12) i.e. greatest common divisor of 21 and 12

Since 21 = 3 x 7 and 12 = 2 x2 x3

so, GCD(21, 12)=3

So, the greatest number of cards you can place each packet = 3

Number packets of baseball cards  = [tex]\dfrac{21}{3}=7[/tex]

Number packets of football cards = [tex]\dfrac{12}{3}=4[/tex]

So, there would be 7 packets of baseball cards and 4 packets of football cards.

I need help with this- I've never seen a graph like this- haha

Answers

Answer:

I think it's the third answer.

Step-by-step explanation:

The line is going through those points.

How’d do you simplify it?

Answers

Answer:

The answer is

[tex]8 \sqrt{3} \: {m}^{2} [/tex]

Step-by-step explanation:

[tex] \sqrt{192 {m}^{4} } [/tex]

First of all factor out the perfect square

From the question the perfect square is 64

We have

[tex] \sqrt{64 \times 3 {m}^{4} } [/tex]

The root of a product is equal to the product of the roots of each factor

So we have

[tex] \sqrt{64 \times {3m}^{4} } = \sqrt{64} \times \sqrt{3} \times \sqrt{ {m}^{4} } \\ [/tex]

Simplify

[tex] \sqrt{64} = 8 \\ \sqrt{ {m}^{4} } = {m}^{2} [/tex]

So we have

[tex]8 \times \sqrt{3} \times {m}^{2} [/tex]

We have the final answer as

[tex]8 \sqrt{3} \: {m}^{2} [/tex]

Hope this helps you

Write an equation of the line that passes through
the given point and has the given slope.
(1/2,4),m = -8

Answers

Answer:

The answer is

y = - 8x + 8

Step-by-step explanation:

To find the equation of the line given a point and slope we use the formula

[tex]y - y _{1} = m(x - x _1)[/tex]

where

m is the slope

( x1 , y1) is the point

From the question the point is

(1/2,4) and slope m = -8

The equation of the line is

[tex]y - 4 = - 8(x - \frac{1}{2} ) \\ y - 4 = - 8x + 4 \\ y = - 8x + 4 + 4[/tex]

We have the final answer as

y = - 8x + 8

Hope this helps you

URGENT
in two or more complete sentences, describe a system of equation in which subtraction would be the most efficient way of solving the system.

Answers

Answer:

a system of equations in which subtraction would be the most efficient way of solving the system is: A system of equations in which one of the variables has exactly the same coefficient in both equations. Solve the system by the elimination method. ... Solve the system by the elimination method.

please helppppppppppppppppppppppppppp

Answers

Answer:

Each friend will need to contribute $20

Step-by-step explanation:

For the problem regarding the equally distributed cost per friend to rent a go-cart track, we can simply use the following eqaution:

Cost per friend = Total cost / # of friends

We are given that the Total cost is $100 and that there are 5 friends.  So let's plug this into the equation to find the cost per friend (Assuming each friend is paying an equal amount):

Cost per friend = Total cost / # of friends

Cost per friend = $100 / 5

Cost per friend = $20

Hence, each friend will need to contribute $20.

Cheers.

The length of a rectangular field is 45 ft greater than its width, w ft. how much fencing is needed to enclose the field and divide it into two parts as shown?

Answers

Answer:

Length of fencing needed = 4x + 45

Step-by-step explanation:

Assume;

Width of rectangle = x

So,

Length of rectangle = x + 45

Find:

Length of fencing needed

Computation:

Length of fencing needed = 2(l+b) + b

Length of fencing needed = 2(x+45+x) + x

Length of fencing needed = 2(2x+45) + x

Length of fencing needed = 4x + 45

There are three choices of jellybeans: grape, cherry and orange. If the probability of getting a grape is 3/10 and the probability of getting cherry is 1/5, what is the probability of getting orange?

Answers

can u plzz explain me the question

Answer:

5/10, or 1/2

Step-by-step explanation:

If the probability of getting a grape is 3/10, and the probability of a cherry is 1/5 or 2/10, then the probability of getting orange is 5/10.

3/10+2/10=5/10

10/10-5/10=5/10

Simplified: 1/2

PLSSSS HEP ITS URGENT!!

1+6=6x6/6

Answers

Answer:

7=6

Step-by-step explanation:

since it is times 1 plus 6 = 6 times 6 divided by 6

1+6=6x6/6

1+6 is 7

6 times 6 is 36  then 36 divided by 6 is 6

then you get  7=6  

3 1 8 5 7 2 1 6 find the mode

Answers

Answer:

1

Step-by-step explanation:

Mode is 1 as 1 has repeated the most number of times

Answer:

The mode is 1.

Step-by-step explanation:

The mode is 1 because that number occurs the most number of times.

Hope I helped!

What is the value of (–7 + 3i) – (2 – 6i)?

Answers

Answer:

9 (i - 1)

Step-by-step explanation:

Simplify the following:

-7 + 3 i - (-6 i + 2)

Hint: | Distribute -1 over 2 - 6 i.

-(2 - 6 i) = -2 + 6 i:

-2 + 6 i - 7 + 3 i

Hint: | Evaluate -2 + 6 i - 7 + 3 i.

-2 + 6 i - 7 + 3 i = (6 i + 3 i) + (-2 - 7) = -9 + 9 i:

9 i - 9

Hint: | Factor common terms from 9 i - 9.

Factor 9 out of 9 i - 9 giving 9 (i - 1):

Answer: 9 (i - 1)

Which of the tables represents a function? (4 points)
Please help i’m having a really hard time

Answers

Answer:

table A

Step-by-step explanation:

side note: if the outputs have the same numbers there not a function

14- =5+4
SECOND GRADE MATH HELP PLS​

Answers

Answer:

5

Step-by-step explanation:

14, 13, 12, 11, 10, 9.

5+4 = 9

Answer:

5

Step-by-step explanation:

You're given 14 - [something] = 5 + 4.

You can start out by making sure you understand what you see.

If fourteen minus a number equals five plus four, you can start out by adding five and four together, right?

And you can figure out that 5 + 4 = 9.

So now, the question is just asking you to find a number such that when you subtract it from 14, you get 9:

14 - [something] = 9

Now you can just think about this. Fourteen minus what equals 9?

You can just count down: 14, 13, 12, 11, 10, 9. You counted down five times to get to 9, so the missing number is 5.

Or, you can also think like this:

You know that 10 is just one more than 9.

14 - 4 = 10. So 14 minus what is 9? 14 - 5 = 9 It has to be 5!

Solve for xxx. Enter the solutions from least to greatest. 2x^(2)-2x-180 =0

Answers

Answer:

  {-9, 10}

Step-by-step explanation:

The equation can be factored as ...

  2x^2 -2x -180 = 0

  x^2 -x -90 = 0 . . . . divide by 2

  (x +9)(x -10) = 0

Solutions are the x-values that make the factors zero:

  -9, 10

ASAP Please! Benjamin's age is 6 years less than twice Lucas's age. If Benjamin is 12 years old, how old is Lucas? Choose the answer below that is a viable solution to this problem. A. 3 B. 5 C. 7 D. 9

Answers

Answer:

9

Step-by-step explanation:

First add 6 to Benjamin's age to make it 18, which is twice Lucas's age. Because it's twice as much, divide 18 by 2 to get 9.

How many places after the decimal point does the equivalent decimal have if: the denominator of the fraction is 100?​

Answers

Answer:

2 places after the decimal point.

Step-by-step explanation:

Answer:

2 places after the decimal point

Step-by-step explanation:

[tex]\frac{1}{100}[/tex] =0.01

Hav a nice day

(x - 5)2 = 25
Solution steps:
Add 5 to both sides
Multiply both sides by 5
Square both sides
Take the square root of both sides

Answers

Here is your answer

x = 17.5

Make as brainliest plzz....

Hope this answer is helpful....

I need to know what the answer to this is in radical form √6⋅√11⋅√5

Answers

Answer:

  √330

Step-by-step explanation:

The product of radicals is the radical of the product.

  (√6)(√11)(√5) = √(6·11·5) = √330

__

This cannot be simplified, because there are no square factors.

Increase £36.00 by 10%

Answers

Answer:

3.6

Step-by-step explanation:

10% = .10

36 * .10 = 3.6

Brett has consumed 1,400 calories so far today. He has also burned off 400 calories at the gym. He would like to keep his daily calorie total to 2,000 calories per day. How many calories does he have left to consume for the day? Is 1,200 a viable solution to this problem?

Answers

Answer:

1000 calories

Step-by-step explanation:

2000-(1400-400)

Answer:

800

Step-by-step explanation:

2000−1200

=2000−1200

=2000+−1200

=800

Write a recursive formula for the sequence.
11, 7, 3, -1, ...

Answers

Answer:-4

Step-by-step explanation:

11,7,3,-1,-5,......they have a difference of -4

11-4=7

7-4=3

3-4=-1

-1-4=-5

Recursive formula for the given sequence is [tex]a_{n}=a_{n-1}-4[/tex]

What is Recursive formula?

A recursive formula is a formula that defines any term of a sequence in terms of its preceding term(s).

Consider

The first term [tex]a_{1} =11[/tex]

second term [tex]a_{2}=7[/tex]

Common difference = 7-11 = -4

Third term [tex]a_{3}=3[/tex]

Common difference = 3-7 =- 4

Fourth term [tex]a_{4}=-1[/tex]

Common difference = -1-3= -4

Then the formula for the sequence is [tex]a_{n}=a_{n-1}-4[/tex]

Hence, the Recursive formula for the give sequence is [tex]a_{n}=a_{n-1}-4[/tex]

Learn more about Recursive formula here

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