a flag pole that is 10 m talk casts a shadow that is 6 m long. what is the distance from the top of the pole to the end of the shadow

Answer:

Rational

Step-by-step explanation:

A rational number is a number expressed as a fraction. So the number could be a decimal or percent.

Hope This Helps :)

The given decimal number is rational number.

Rational numbers are in the form of p/q, where p and q can be any integer and q ≠ 0. This means that rational numbers include natural numbers, whole numbers, integers, fractions of integers, and decimals (terminating decimals and recurring decimals).

The given decimal number is -0.3535.

Here, the given decimal number is repeated and terminating decimal

So, the given decimal is rational number

Therefore, the given decimal number is rational number.

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I think your teacher's just asking for the multiplied out version, so there's no work to do

3. -2(3m + 9) = -6m - 11

4. -6(z-1) = -6z + 6

5. -(m +1) = -m - 1

6.  -(x+4) = x = 4

7.  b(a- 6) = ab - 6b

8. 7a(3b -2c + 4) = 21ab - 14ac +28a

9. 1/2(8x + 2) = 4x + 1

10. 2/3(1/4x -6) = 1/6x - 4

Answer:

3. -2(3m + 9) = -6m - 11

4. -6(z-1) = -6z + 6

5. -(m +1) = -m - 1

6.  -(x+4) = x = 4

7.  b(a- 6) = ab - 6b

8. 7a(3b -2c + 4) = 21ab - 14ac +28a

9. 1/2(8x + 2) = 4x + 1

10. 2/3(1/4x -6) = 1/6x - 4

Step-by-step explanation:

Answer:

1/6

I apologize if it is wrong.

The repeating decimal 16.666... as a fraction is 50/3.

We have,

Consider

x = 16.6666... ______(1)

Multiply 10 on both sides.

10x = 10 x 16.6666...

10x = 166.666..... ______(2)

Subtract (1) from (2).

10x - x = 166.666..... - 16.666...

9x = 150

x = 150/9

x = 50/3

Thus,

The repeating decimal as a fraction is 50/3.

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The equation [tex]x^{3} - 3[/tex] has x values as 0, [tex]\sqrt{3}[/tex] and -[tex]\sqrt{3}[/tex].

We are given,

3 is subtracted from the cube of a number.

Let the number be x then we can write it as:

 [tex]x^{3}[/tex] - 3

We are to solve for x.

We can write the equation as:

[tex]x^{3}[/tex] - 3  = 0

x ( [tex]x^{2}[/tex]- 3 ) = 0

x = 0 and ( [tex]x^{2}[/tex] - 3 ) = 0

x = 0 and [tex]x^{2}[/tex] = 3

x = 0 and x = ±[tex]\sqrt{3}[/tex]

So we have,

x  = 0, [tex]\sqrt{3}[/tex] and -[tex]\sqrt{3}[/tex]

Thus we have x values as 0, [tex]\sqrt{3}[/tex] and -[tex]\sqrt{3}[/tex].

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Answer:

multiply both sides by [tex]\frac{3}{2}[/tex]

Step-by-step explanation:

Given

[tex]\frac{2}{3}[/tex] x - 8 = 12

first step

Add 8 to both sides

[tex]\frac{2}{3}[/tex] x = 20

second step

Multiply both sides by [tex]\frac{3}{2}[/tex] to clear the fraction

x = [tex]\frac{3}{2}[/tex] × 20 = 30

Answer:

use 5x for each question

Step-by-step explanation:

its says u should get 5x out of them

Answer: 49.5 miles

Step-by-step explanation: So we know 1 inch is 11 miles, knowing that we can do 4.5 inches times 11 miles to get 49.5 miles. (4.5x11=49.5)

Hope this helps!

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Answer:

m = 10

Step-by-step explanation:

Answer:

She used a 20, 10, 5, and 1, she also used a quarter, nickel, and 2 pennies

Step-by-step explanation:

Answer:

grams

Step-by-step explanation:

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

x=16

Step-by-step explanation:

its C

Answer:

x=16

Step-by-step explanation:

First of all we want to distribute 0.5 on 5x and -8

so we are going to divide by 2

1.5x + 12 = 2.5x -4

now we want to put the variables on one side and the numbers on the other side of the equal sign

and to

1.5x +12 = 2.5x -4

        -12             -12

1.5x = 2.5x - 16

now we want to move the variable that is on the right to the left side

1.5x = 2.5x - 16

-2.5x  -2.5x

-x = -16

change the signs and the answer is

x=16

EXTRA STEP

you have to make sure that your answer is correct so just plug in x and the answers on both sides of the equation must be equal

Answer:

3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

13-10=3

Answer:

6 yards net gain

Step-by-step explanation:

Answer: hope i helped with this answer~

Step-by-step explanation:

The fourth diagram  show lines that must be parallel lines cut by a transversal

A line is an infinitely long object with no width, depth, or curvature.

Parallel lines  refers to two lines which can be found on the same plane, at an equidistance and does not meet.

A transversal is defined as a line that passes through two lines in the same plane at two distinct points in the geometry.

The fourth diagram has two same-side interior angles that are supplementary (add to 180°).

The converse of the same-side interior angle theorem states that if two lines are cut by a transversal and the same side interior angles are supplementary, then the lines are parallel.

Hence, the fourth diagram  show lines that must be parallel lines cut by a transversal

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Answer:

B, C, F

Step-by-step explanation:

The choices B, C, and F are right because if you do the Vertical line test, the vertical line only intersects one point in the graph. The function only has one output value for each input value.

Answer:

Step-by-step explanation:

Since not provided, it is assumed that the spinner has 4 colors.

Probability of green is one out of four = 1/4

Probability of green out of 60 spins:

As spinner lands on green 10 times, then it is 5 times less than expected.

Answer:

Answer:

25x+10=47.50

Step-by-step explanation:

x represents the ticket amount and if he buys 25 tickets then that will be 25 times x. Plus the $10 entrance fee.

Answer:

2 is your answer np... ‍♂️

Answer: Your answer will be [tex]\frac{-50}{5} =-10[/tex]

Step-by-step explanation: You will have

[tex](5)\frac{n}{5} =-10(5)[/tex] you will have to multiply 5 on both sides. So you will then simplify 5 and 5 to be left with n and multiply -10(5)=-50

So you get [tex]n=-50[/tex]

Answer:

12/2

Step-by-step explanation:

Answer: No, it can never be negative.

==================================================

Explanation:

Consider the expression x^2

If x were some negative number, say x = -3, then

x^2 = (-3)^2 = 9 which is a positive result.

Picking any negative number for x will make x^2 positive.

We can think of it like this

(-3)^2 = (-3)*(-3) = 9

The two negatives multiply to a positive.

This also happens with exponents 4,6,8, etc. Any even exponent will have an even number of negative signs, all of which cancel out.

Answer:

Step-by-step explanation:

I think we need to define domain and range first.

Domain is the set of all x values where the function f(x) exists or is defined.

Range is the set of all y values that will result from substituting all x values (the domain) into the function.

So for g(x) = 2x - 2 we can evaluate g(x) at any point, and we will get a real answer for y.

So the range of g(x) = 2x -2 is also all real numbers, because no matter what value of x is, we can always multiply that number by 2 and subtract 2.

The inequality does not affect the domain and range of linear functions at all. Don't confuse domain and range with a solution to an inequality. These two concepts are different. Domain and range mean all possible values of x and y that could be substituted into the inequality. A solution means all possible values that make the inequality statement true.

The domain as an inequality would be -∞ < x < ∞

The range as an inequality would be -∞ < y < ∞

As a set notation:

Domain {x | -∞ < x < ∞}

Range {y | -∞ < x < ∞}

In interval notation:

Domain (-∞ , ∞)

Range (-∞ , ∞)

End behavior:

As x gets larger and larger, g(x) gets larger and larger as well, and as x gets smaller, g(x) gets smaller too.

Answer:

10 1/2

Step-by-step explanation:

use  a calculater

Answer: 4

Step-by-step explanation:

the sum of two numbers is 4

the two numbers are 2

2+2=4-6

hope this helps

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Answer:35

120-85=35

120>85

Answer:

h=12.5

Step-by-step explanation:

It’s a right triangle, so you can use the Pythagorean Theorem.  

9.2²+8.5²=h²

84.64+72.25=h²

156.89=h²

√156.89=h

h=12.5255

h=12.5

Answer:

-0.5

Step-by-step explanation:

take -2/3 and add it to 1/6