Help please. Thank you.

The height of the pole, to the nearest tenth of a foot is given by: Option B: 6.7 feet

You look straight parallel to ground. But when you have to watch something high, then you take your sight up by moving your head up. The angle from horizontal to the point where you stopped your head is called angle of elevation.

Remember that we assume that pole is vertical to the ground. This means, there is 90° formation. The length of the rope can be taken as length of hypotenuse.

Referring to the attached figure below, we get:

Using the tangent ratio, we get:

[tex]\sin(x) = \dfrac{\text{Length of perpendicular}}{\text{Length of hypotenuse}} = \dfrac{|AB|}{|AC|}\\\\|AB| = \sin(x) \times |AC|\\\\|AB| = \sin(57^\circ) \times 8 \approx 6.71 \approx 6.7\: \rm feet[/tex]

Thus, the length of the pole is approx 6.7 feet (option B).

Learn more about trigonometric ratios here:

https://brainly.com/question/22599614

Answer:

From the above calculations, it is clear that the consistent system has exactly one solution i.e. x = -1, y =2, therefore, it is independent.

Step-by-step explanation:

Given the system of equations

[tex]\begin{bmatrix}2x-y=-4\\ 3x+y=-1\end{bmatrix}[/tex]

[tex]\mathrm{Multiply\:}2x-y=-4\mathrm{\:by\:}3\:\mathrm{:}\:\quad \:6x-3y=-12[/tex]

[tex]\mathrm{Multiply\:}3x+y=-1\mathrm{\:by\:}2\:\mathrm{:}\:\quad \:6x+2y=-2[/tex]

[tex]\begin{bmatrix}6x-3y=-12\\ 6x+2y=-2\end{bmatrix}[/tex]

[tex]6x+2y=-2[/tex]

[tex]-[/tex]

[tex]\underline{6x-3y=-12}[/tex]

[tex]5y=10[/tex]

so the system of equations becomes

[tex]\begin{bmatrix}6x-3y=-12\\ 5y=10\end{bmatrix}[/tex]

solving 5y = 10 for y

[tex]5y=10[/tex]

Divide both sides by 5

[tex]\frac{5y}{5}=\frac{10}{5}[/tex]

simplify

[tex]y=2[/tex]

[tex]\mathrm{For\:}6x-3y=-12\mathrm{\:plug\:in\:}y=2[/tex]

[tex]6x-3\cdot \:2=-12[/tex]

[tex]6x-6=-12[/tex]

Adding 6 to both sides

[tex]6x-6+6=-12+6[/tex]

[tex]6x=-6[/tex]

Divide both sides by 6

[tex]\frac{6x}{6}=\frac{-6}{6}[/tex]

[tex]x=-1[/tex]

Therefore, the solution to the system of equations be:

[tex]x=-1,\:y=2[/tex]

From the above calculations, it is clear that the consistent system has exactly one solution i.e. x = -1, y =2, therefore, it is independent.

Answer: I got no clue brother.

Step-by-step explanation: Brother

Answer:

He sold 17 shirts at the festival.

The total number of t-shirts Felipe sold is 17 t-shirts.

Consider that the number of t-shirts Felipe sold be "x".

Since He made a profit of $5 for each t-shirt sold. Therefore, his profit from selling t-shirts is 5x. also made a profit of $40 from selling hats.

His total profit is given as $125.

So we can write the following equation:

5x + 40 = 125

Subtracting 40 from both sides;

5x = 85

Dividing both sides by 5, we get:

x = 17

Therefore, Felipe sold 17 t-shirts.

Learn more about equations here;

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Answer:

f(3) = 4

Step-by-step explanation:

The absolute value, |X|, is defined as the magnitude of a number without regard to its sign. For example, absolute value of 1 is 1 and absolute value of -1 is 1.

Thus, based on the function:

f(x)=|x−5|+2

f(3) = |3−5|+2

f(3) = |-2|+2

-Absolute value of -2 = 2-

f(3) = 2+2

Answer:

1. >

2. <

3. =

4. >

5. >

6. =

7. <

8. <

9. =

10. <

11. >

12. >

13. <

14. =

15. >

16. <

17. >

18. <

19. yes

20. yes

21. yes

22. 2/3, 0.65, 63%

23. 98.5%, 0.98, 7/8

24. 0.2, 1/12, 2%

25. The Pitchers for the visiting team

26. School Bus, Family Vehicle, Bike

Hope this helps :)

Answer:

its 31.75

Step-by-step explanation:

12.5 inch = 31.75 cm

Answer:

there are 5 red marbles, 8 blue marbles, and 12 green marbles in a bag.

Step-by-step explanation:

Answer:

I believe its 52.94% (53 rounded)

Step-by-step explanation: First add all the numbers to see the total amount of marbles (34) Second is add the marbles that are NOT red or yellow (18).Then the final step is divide 18/34

Hope this helps and have a great day

Answer:

5 times

Step-by-step explanation:

Because he enters through the front door.

Answer:

Intersect means two lines met together and formed a point.

Step-by-step explanation:

None

Answer:

-9.

The product of -9 and -8 is 72.

Step-by-step explanation:

Product means the answer of a multiplication, so we're given 72 and -8.

We can solve this by using inverse operations.

The inverse operation of multiplication is division, so we divide 72÷ -8

This will give us -9.

Answer:

product of 10 and 8

Step-by-step explanation:

8 is the quotient of 80 and 10 (80/10=8)

Answer:

$42

Step-by-step explanation:

Given that,

Galore Super Store buys the latest video game at a wholesale price of $30.00.

The markup rate at Game's Galore Super Store is 40%.

We need to find the price from the store. It can be calculated as follows :

[tex]C=30+\dfrac{40}{100}\times 30\\\\=30+12\\\\=\$42[/tex]

Hence, we will pay $42.

Answer:

6

Step-by-step explanation:

6 inches of snow is an amount above ground, so it is represented by a positive integer.

Answer: 6

Answer:

Firstly, it was 4 inches

After snowing it becomes (4+6)= 10 inches;

From ground it is 10 inches of snow

So, 10 inches is the right answer.

Answer: Refer to the diagram below

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

Explanation:

The diagram shows how point R moves to R'. We move up 2 units going from R(-6,0) to (-6,2). This lands us on the line of reflection. Then we move another 2 units up to land on (-6,4) which is the location of point R'.

The other points P and Q follow the same idea. Though the distances will be different from R. For P and Q, we'll move 7 units up to arrive at the line of reflection, then another 7 units to arrive at the proper locations of P' and Q', which are (-7,9) and (1,9) respectively.

Answer:

If we draw the line of y=2 and if we find the reflections we have the new points of...

Now all we have to do it plot these points, and then we have the triangle PQR

Answer:

12 pages

Step-by-step explanation:

This is a fairly straight forward question.

Sam read 6 pages in 18 minutes, and we want to know how many pages he could have finished if he read for 36 minutes.

36 minutes is double the time of 18 minutes.

So we just have to double the 6 pages Sam read into 12 pages and that is the answer.

Answer:

Step-by-step explanation:

60 divided by c-n=how many you have left

Answer:

Aaron rolled a fair six-sided number cube, numbered 1 through 6 is explained below in details.

Step-by-step explanation:

a. FALSE

Trial possibility of rolling a 6 =1/20 = 0.05

Logical possibility of rolling a 6 = 1/6 = 0.17(approximately.)

So the trial possibility of rolling a 6 is not equal to the logical possibility of rolling a 6.

b. FALSE

Trial possibility of rolling an even number = Trial possibility of rolling number 2,4 or 6 = 4/20+2/20+1/20= 7/20 = 0.35

Logical possibility of rolling an even number = 3/6 = 1/2=0.5

Therefore the Test possibility of rolling an even number is shorter than the logical possibility of the same.

c. TRUE

Trial possibility of rolling a 1= 6/20= 0.3

Logical possibility of rolling a 1= 1/6 = 0.17 (approx.)

So the Trial possibility of rolling a 1 is greater than the logical possibility of rolling a 1.

d. FALSE.

Trial possibility of rolling a 4= 2/20= 0.1

Logical possibility of rolling a 4 = 1/6 = 0.17 (approx.)

So the Trial possibility of rolling a 4 is less than the logical possibility of rolling a 4.

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Answer:

ok

Step-by-step explanation:

ok  

Answer:

slope=∆y/∆x=9+5/-4-3=14/-7=-2

Answer:

-2

Step-by-step explanation:

slope equation: (y2-y1)/(x2-x1)

lets use (-4, 9) as x1 and y1 and (3, -5) as x2 and y2

when plugged into the equation we get (9+5)/(-4-3) which ultimately equals -2.

4/14 is equivalent. This was found by multiplying both the numerator and denominator by 2.

Complete Question

In order to test the null hypothesis of equal means (alternative hypothesis says they are unequal), two simple random samples are obtained.In sample 1, the mean and standard deviation are 10 and 6 respectively.In sample 2, the mean and standard deviation are 16 and 4 respectively.Each sample is of size 6.The data are normally distributed.The true standard deviations of the two populations may be assumed to be equal.What can you say about the P-value for the test of equal means? -->

It must be that the resulting P-value must be

A) Greater than 0.2

B) Between 0.19 and 0.10

C) Between 0.09 and .05

D) Between .049 and .02

E) Less than 0.02

Answer:

The correct option is B

Step-by-step explanation:

From the question we are told that

   The mean of sample 1 is  [tex]\= x_1 = 10[/tex]

   The standard deviation is  [tex]s_1 = 6[/tex]

   The mean of sample two is  [tex]\= x_2 = 16[/tex]

   The standard deviation is  [tex]s_2= 4[/tex]

   The sample size for both samples is  [tex]n_1 = n_2 = n = 6[/tex]

  The null hypothesis is  [tex]H_o : \mu_1 = \mu_2[/tex]

  The alternative hypothesis is  [tex]H_a : \mu_1 \ne \mu_2[/tex]

Generally the test statistics is mathematically represented as

          [tex]z = \frac{ \= x_1 - \= x_2 }{ \sqrt{ \frac{s^2_1}{n_1} +\frac{s^2_1}{n_2} } }[/tex]

=>       [tex]z = \frac{ 10 - 16 }{ \sqrt{ \frac{6^2}{6} +\frac{4^2}{6} } }[/tex]

=>       [tex]z = -1.3646[/tex]

From the z table  the area under the normal curve to the left corresponding to  -1.3646   is

    [tex]P(Z < -1.3646) = 0.086189[/tex]

Generally the p-value is mathematically represented as

     [tex]p-value = 2 P(Z < -1.3646)[/tex]

=>  [tex]p-value = 0.086189 * 2[/tex]

=>  [tex]p-value = 0.1724[/tex]

So the p-value is  Between 0.19 and 0.10

Answer:

David has 7h hats

Step-by-step explanation:

Daryl: 7

David: 7h

Answer:

Your answer would be A

Step-by-step explanation:

I got it right on edge!

a.  A collection of investors who pool their resources in order to purchase and manage property for a profit.

100% on edge 2021 c:

Answer:

18 miles / hour

Answer:

Step-by-step explanation:

HII do the parentheses first then carry on if you need more help i suggest you go to caculatorsoup  and search mixed number caculator and it should help u its a web

Answer:

n = A/P - 1

Step-by-step explanation:

1st step: subtract P from each side to get A/P = 1+n

2nd step: subtract 1 from each side to get the answer above

Answer:

3/4 3/4 1/2 1/4 -14 -15 -20

Step-by-step explanation:

Answer:

-20,-15,-14,-1/4,1/2,34

Step-by-step explanation: