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?

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.

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]

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]

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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  

Answer:

1000 calories

Step-by-step explanation:

2000-(1400-400)

Answer:

800

Step-by-step explanation:

2000−1200

=2000−1200

=2000+−1200

=800

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

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:

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

Step-by-step explanation:

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

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)

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.

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

Answer:

I think it's the third answer.

Step-by-step explanation:

The line is going through those points.

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!

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)

Answer:

3.6

Step-by-step explanation:

10% = .10

36 * .10 = 3.6

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)

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)

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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!

Step-by-step explanation:

Using the f(x) defined in the question,

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

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

Answer:

table A

Step-by-step explanation:

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

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]

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.

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

Answer:

The answer is

Step-by-step explanation:

First of all factor out the perfect square

From the question the perfect square is 64

We have

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

So we have

Simplify

So we have

We have the final answer as

Hope this helps you

Here is your answer

x = 17.5

Make as brainliest plzz....

Hope this answer is helpful....

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.

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.

Answer:

The answer is

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

Hope this helps you