From an upstairs window, I can see my neighbor's fence. The angle of depression is 7 degrees. If my window is 15 ft off the ground, how far is my neighbor's fence from my house? Round to the nearest whole number, do not include units. *

Answer:

FG-220.2 feet

Step-by-step explanation:

The base of the triangle is FH

The perpendicular of the triangle GH=57 feet

The hypotenuse of the triangle is FG

We know that

sin∠F=Perpendicular/Hypotenuse

Hypotenuse= Perpendicular/sin∠F

Hypotenuse= 57/sin∠15

Hypotenuse=220.23109

Round of to nearest tenth

Hypotenuse=220.2 feet

Answer:

4. 30m; the coefficient is 30.

Step-by-step explanation:

According to wiki, a coefficient is a multiplicative factor in some term of a polynomial, a series, or any expression; it is usually a number. For example, 4x +7 has a coefficient of 4 and a variable of 'x'. The product of 6 and 5 is thirty and the product of 30 and 'm' is 30m.

Answer:

Step-by-step explanation:

A right angled triangle is made of three sides with the longest side being the hypotenuse. According to pythagoras theorem;

[tex]hyp^{2} = adj^{2}+opp^{2}[/tex]

Given hypotenuse = [tex]\sqrt{87}[/tex] and another side = [tex]\sqrt{23}[/tex], the third side can be gotten according to the formula above. On substituting;

[tex](\sqrt{87} )^{2} = (\sqrt{23} )^{2} + x ^{2} \\x^{2} = (\sqrt{87} )^{2} - (\sqrt{23} )^{2}\\x^{2} = 87-23\\x^{2} = 64\\x =\sqrt{64}\\ x = 8[/tex]

The length of the unknown leg in the right triangle is 8

Answer:

a. 8 yd

Step-by-step explanation:

Hypotenuse = [tex]\sqrt{87}[/tex]

Length = [tex]\sqrt{23}[/tex]

x² + ([tex]\sqrt{23}[/tex])² = ([tex]\sqrt{87}[/tex])²

x² = ([tex]\sqrt{87}[/tex])² - ([tex]\sqrt{23}[/tex])²

x² = 87 - 23

x² = 64

[tex]\sqrt{x}[/tex]² = [tex]\sqrt{64}[/tex]

x = 8 yd

Answer:

27

Step-by-step explanation:

(9)to the 2 power is 81

81/3=27

Answer:  27

(n)^2/3      if n=9

Step-by-step explanation:

first, you do 9*9=81

secound, you put 81/3

third, then you divide 81/3=27

the answer is 27

Answer:

Step-by-step explanation:

PLEASE MARK BRAINLY

Answer:

18y=15mx/m

Step-by-step explanation:

that's the set up

Answer:

Step-by-step explanation:

Confidence interval is written as

Sample proportion ± margin of error

Margin of error = z × √pq/n

Where

z represents the z score corresponding to the confidence level

p = sample proportion. It also means probability of success

q = probability of failure

q = 1 - p

p = x/n

Where

n represents the number of samples

x represents the number of success

From the information given,

n = 700

x = 46

p = 46/700 = 0.066

q = 1 - 0.066 = 0.934

To determine the z score, we subtract the confidence level from 100% to get α

α = 1 - 0.9 = 0.1

α/2 = 0.1/2 = 0.05

This is the area in each tail. Since we want the area in the middle, it becomes

1 - 0.05 = 0.95

The z score corresponding to the area on the z table is 1.645. Thus, the z score for a confidence level of 90% is 1.645

Therefore, the 90% confidence interval is

0.066 ± 1.645√(0.066)(0.934)/700

= 0.066 ± 0.0094

The lower limit of the confidence interval is

0.066 - 0.0094 = 0.0566

The upper limit of the confidence interval is

0.066 + 0.0094 = 0.0754

Answer:

(0.0503, 0.0811).

Step-by-step explanation:

The confidence interval for the unknown population proportion p is (p^−z⋆p^(1−p^)n−−−−−−−−√,p^−z⋆p^(1−p^)n−−−−−−−−√). The confidence interval can be calculated using Excel.

1. Identify α. Click on cell A1 and enter =1−0.90 and press ENTER.

2. Thus, α=0.1. Enter the number of successes, x=46, and sample size, n=700, in the Excel sheet in cells A2 and A3. To find the proportion of successes, p^, click on cell A4 and enter =A2/A3 and press ENTER.

3. Thus, p^≈0.0657. Use the NORM.S.INV function in Excel to find z⋆. Click on cell A5, enter =NORM.S.INV(1−A1/2), and press ENTER.

4. The answer for z⋆, rounded to two decimal places, is z⋆≈1.64. To calculate the standard error, p^(1−p^)n−−−−−−−−√, click on cell A6 and enter =SQRT(A4∗(1−A4)/A3) and press ENTER.

5. The answer for the standard error, rounded to four decimal places, is p^(1−p^)n−−−−−−−−√≈0.0094. To calculate the margin of error, z⋆p^(1−p^)n−−−−−−−−√, click on cell A7 and enter =A5*A6 and press ENTER.

6. The answer for the margin of error, rounded to four decimal places, is z⋆p^(1−p^)n−−−−−−−−√≈0.0154. The confidence interval for the population proportion has a lower limit of A4−A7=0.0503 and an upper limit of A4+A7=0.0811. Thus, the 90% confidence interval for the population proportion of people in the region who would order calzones if they were on the menu, based on this sample, is approximately (0.0503, 0.0811).

Answer:

Below.

Step-by-step explanation:

[tex]y=x^2[/tex] is also [tex]y = x*x[/tex]

It will differ for any x besides 1 and 0 because you're multiplying x by itself, which makes the answer greater.

But, it's the same for 1 and 0 because they equal each other when you square them.

Step-by-step explanation:

is there any diagram included about this question

Answer:

$9,000.00 is her original investment worth in 10 yrs.

5000 x 1.08 ^10 = 10794.6249864

Then subtract -500000 = 5794.62498636

Step-by-step explanation:

Why, because the first year is proved 5000 x 0.08 = 400

= 400 year 1 but cna keep only if stays in investment for 10 years

400 x 10 = 4000 interest on investment

5000+ 4000 = $9,000.00 SI

+ 1,794.62 Interest on interest if applies (this is called CI) and makes $10794.62

Answer:

12 divided by 1/2 = 24

Step-by-step explanation:

Answer:

Simplified equation: 25 - 16=9

Step-by-step explanation:

Evaluate the power

25 - 4 * 4

Multiply the numbers

25 - 16

Subtract the numbers

9

Answer:

8.5 weeks

Step-by-step explanation:

to solve, you can start by subtracting 61 from 129 because he has already picked 61.

129 - 61 = 68

then, just divide 68 by 8 to find how many weeks it will take him.

68/8 = 8.5

it will take Harry 8 and a half weeks to harvest at least 129 squashes.

Harry needs 9 weeks to harvest at least 129 squashes.

Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.

The symbol a < b indicates that a is smaller than b.

When a > b is used, it indicates that a is bigger than b.

a is less than or equal to b when a notation like a ≤ b.

a is bigger or equal value of an is indicated by the notation a ≥ b.

Let, The number of weeks it will take Harry to harvest at least 129 squashes be 'w'.

Therefore, The inequality that represents the given situation is,

8w + 61 > 129.

8w > 68.

w > 68/8.

w > 8.5.

So, It will take him at least 9 weeks.

learn more about inequalities here :

https://brainly.com/question/30228778

#SPJ2

The perimeter of rectangle is 10x-2

please see the attached picture for full solution

Hope it helps

Good luck on your assignment...

Answer:

10x-2

Step-by-step explanation:

We know the length is 3x-1. There are two lengths in a rectangle. Therefore, we multiply 3x-1 by 2 to get 6x-2. That is the sum of the two lengths.

Now for the width. Just as with the length there are two widths in a rectangle. After multiplying 2x by 2, we get 4x.  That is the sum of the two widths.

To get the perimeter, we need to add both the lengths and both the widths together. Using what we did before, we add 4x + 6x - 2 to get 10x - 2 Hope this helps :)

The width of the room is equal to 6 m

The formula for area is equal to the product of the length and breadth of the rectangle. Whereas when we speak about the perimeter of a rectangle, it is equal to the sum of all its four sides.

Given here: Perimeter=36 m

Let the length of the room be 2x and width of the room be x

Then we have (2x+x)=36

                             x=12

Thus length =12m & width=6 m

Hence, the width of the room is equal to 6 m

Learn more about the perimeter here:

https://brainly.com/question/20693059

#SPJ2

Answer: $47.83

Step-by-step explanation: Let's turn the percentage into a decimal, move the decimal two times to the right...

6% ⇒ 0.06

0.06 * $50.88 = $3.05

$50.88 - $3.05 = $47.83

Remember x = price before tax...

x = $47.83

Answer:

11

Step-by-step explanation:

Answer:

100 pie m^2

[tex]solution \\ diameter = 20 \: m \\ radius = \frac{20}{2} = 10 \: m \\ area \: = \pi \: {r}^{2} \\ \: \: \: \: \: \: \: \: \: \: \: = \pi \times {10}^{2} \\ \: \: \: \: \: \: \: \: \: \: = \pi \times 100 \\ \: \: \: \: \: = 100\pi \: {m}^{2} \\ hope \: it \: helps....[/tex]

Answer:

[tex]= 100\pi {m}^{2} \\ [/tex]

Step-by-step explanation:

[tex]d = 2r \\ 20 =2 r \\ \frac{20}{2} = \frac{2r}{2} \\ r = 10[/tex]

[tex]area = \pi {r}^{2} \\ = \pi \times 10 \times 10 \\ = 100\pi {m}^{2} [/tex]

hope this helps

Answer:

a. 20 mins

b. 30 mins

c. 4mph

Answer:

a)30

b)40

c)36

Step-by-step explanation:

Answer:

Please post the figure or image of the triangular prisms.

Step-by-step explanation:

Answer:

The length of the actual tractor is:

Step-by-step explanation:

Firstly, you must know the conversión between inches and feet:

Or

How the paragraph says that the scale is 1 to 64, it means by each unit in the scale, the unit in the actual tractor is 64 times bigger, so, you must multiply the measure of the model by 64 to obtain the actual length in inches:

The paragraph says the length must be in feet, so we must apply the conversion given above in a simple rule of three how I'll show below:

And we operate:

After we cancel the unit "inches:"

For this reason, we obtain the final value of 56 feet to the actual length of the tractor.  

Answer:

Center = (9, -16)

Step-by-step explanation:

So you already have the center in the equation.

The base form is [tex](x-h)^2+(y-k)^2=r^2[/tex]

(h, k) = center.

Center = (9, -16)

Hey!!

H (2,1),(4,3),(6,5),(2,7) is not a function.

please see the attached picture

Hope it helps

Good luck on your assignment

Answer:

50 feet

Step-by-step explanation:

[tex]\mid -20 \mid +\mid 30\mid = \\\\20+30= \\\\50[/tex]

Hope this helps!

Answer:

50 feet

Step-by-step explanation:

hope this helps

Answer:

600

Step-by-step explanation:

% of students in the band = 28%

No. of students who are in the band = 168

Let us take the total no. of students as x

So, 28/100×x=168

= 600

Answer:

154 square units

Step-by-step explanation:

To find the area of a trapezoid, we need to:  [tex](a+b)\frac{h}{2}[/tex] , a and b being 17 and 5 in this case. h is 14. Substitute the variables and there you have it!

Answer:

a= -3, b= 4 and c= -5

ab + c = (-3)4+(-5) = -12 -5 = -17

Answer:

answer is -17

Step-by-step explanation:

all you have to do for this question is to plug the values for a, b, and c in the question.

ab + c  would be

(-3)*4+(-5)

-12+(-5)

= -17

therefore the answer is -17

Answer:

D

Step-by-step explanation: