A 36-foot guy wire is attached to a utility pole to provide support for the pole. The wire forms a 60° angle with the ground. How high up the pole is the wire attached? Write your answer in simplest form. The wire is attached to the pole feet above the ground. ​

Answers:

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Explanations:

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Explanation for problem 4

We have 68 people who split the check out of 122 total. That leaves 122-68 = 54 people who don't split the check. These two values are the row totals for rows 1 and 2 in that order. So you'll have 68 at the end of row 1, and 54 at the end of row 2. Refer to the diagram below.

We have 56 people who prefer to skip dessert, meaning 122-56 = 66 people who order desert. We'll have 66 followed by 56 along the first two items in the bottom row. The grand total 122 is in the bottom right corner. The 122 is both in the total row and total column.

Then we're told that 50 people order desert and split the check. We had 68 people split the check, leaving 68-50 = 18 people who split the check, but didn't get dessert. For the first row, we have the values 50, 18, and 68. Note that 50+18 = 68.

In the second row, we must have the values 16, 38, and 54 in that order. The blank spaces are filled in using the same ideas as I've discussed in previous paragraphs.

The terms in gray boxes represent the totals, which would be left out when forming the table in your final answer. Meaning you'll have a 2x2 table instead of a 3x3 table.

Answer: 18

Step-by-step explanation:

18

Answer:

1 1/4

Step-by-step explanation:

Answer:

its 2.7% :D

Step-by-step explanation:

Im doing the quiz rn

explaination:

12/79 x 14/79 = 168/6241 (79 is the total fish)

168/6241 = 2.7% (rounded)

Hope I helped :D

Answer:

50 cm²

Step-by-step explanation:

5 · 6 = 30 cm²

14 - 6 = 8

8 · 5 = 40 cm²

40 cm² ÷ 2 = 20 cm²

30 cm² + 20 cm²

50 cm²

Radius = 35 m 

Cost of fencing circular field is Rs 2640 at rate of Rs 12 per metre.

What is the radius of the circular field ?

 Let the radius of circular field be r metre.

Here , if we'll divide the total cost by per metre cost of fencing then we'll get circumference of the circular field.

➯ Circumference = 2640/12

➯ 220 m

As we know that , formula of circumference is

★ Circumference = 2πr ★

Hence, the radius of circular field is 35 metre.

Answer:

Solution given:

total cost =Rs 2640

rate=Rs 12/metre

We have

circumference of circle =[tex] \frac{total cost}{rate} = \frac{2640}{12} [/tex]

2πr=220m

r=[tex] \frac{220}{2π} [/tex]=35.01

r=35m(approximately)

the radius of the field is 35m.

Answer:

the one already selected

Answer:

The one selected

Step-by-step explanation:

Answer:

Mila= 420 Nadia= 60

Step-by-step explanation:

Let's call Mila 7x. And x to Nadia. The two of them had a total of 480s.

Then we say 7x + x. Their total is 8x. So 480 = 8x. We divide both sides by 8. Here x = 60. Since Mila is 7x, we find Mila as 7.60 = 420, and since Nadia as x, we find Nadia as 1.60 = 60.

If there is any place you don't understand, you can ask.

#Achievements

Answer: 60 units^2

Step-by-step explanation:

Answer:

see, to find the next number, you need to add three to the last one

for example, the 3 was added to 2, so we have five here

5+3=8

8+3=11

and ....

so the next ten numbers are:

8, 11, 14, 17,20,23,26,29,32,35

I'm sorry, my mother tongue isn't English so please accept my apology if I haven't been able to explain it clearly, it's a pretty easy math problem so I think you got it

Answer:

it's +3 each time

Step-by-step explanation:

the formula for the nth term of an arithmetic progression is

[tex]a _{n} = d \times n + a _{1} - d[/tex]

Answer:

3054.024cm^3

Step-by-step explanation:

Given data

Diameter= 18cm

Radius= 9cm

The expression for the volume of a sphere is given as

Volume = 4/3πr^3

Volume= 4/3*3.142*9^3

Volume= 4/3*3.142*729

Volume= 9162.072/3

Volume= 3054.024 cm^3

Hence the volume is 3054.024cm^3

Answer:

-28

Step-by-step explanation:

-16 +(-12)

= -16 - 12

adding both of them,

= - 28

Answer:

138

Step-by-step explanation:

Answer:

21.91 meters

Step-by-step explanation:

Since they already give you the hypotenuse, you will find the other missing side using this formula:

A= [tex]\sqrt{c^2 - b^2}[/tex]

So c² = 1,156

and b² = 676

1156 - 676 = 480

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The square root of 480 is around 21.91

Let's double check, to double check, pretend that you don't know the hypotenuse, but you know the a and b sides.

So: 480.05 + 676 = 1,156.05

[tex]\sqrt{1156.05}[/tex] ≈ 34

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Have a good day :)

Answer:

240 cm

Step-by-step explanation:

8x=12(x-10)

8x = 12x -120

120 = 4x

30 = x

Answer:

The price is $887.81.

Step-by-step explanation:

Multiply $823.95 by 0.075 to find the sales tax. Then add that number to the total, $823.95, to get $887.81.

Answer:

What it is is basically when you take the area of every side of a three dimensional shape and then add it all together.

don't know if this is what you were looking for but I hope this helps.

Answer:

55

Step-by-step explanation:

if it cost 2,145 for the whole thing and 39 for each person 2,145 divide by 39= 55

Answer:

12/16

That’s one

Answer:

Step-by-step explanation:

the geo. mean is the nth root of the product of n numbers

Here there are two numbers; geo. mean is the square root of their product

g = √(16 * 36)

g = 4 * 6

g = 24

Geometric mean is the mean which is the average of a set of a product.

The geometric mean of the given numbers is 24.

Geometric mean is the mean which is the average of a set of a product.

It can be given as,

[tex](\prod_{i=1}^{n}x_i)^{1/n}=\sqrt[n]{x_1\times x_2\times x_3...........x_n}[/tex]

Here [tex]x_i[/tex] is the values of the average and [tex]n[/tex] is the number of values.

Given information-

The numbers given in the problem is 16 and 36.

The Geometric mean for the number 16 and 36 has to find out.

Use the above formula to find the geometric mean for the number 16 and 36. Thus,

[tex]\prod=\sqrt{16\times36}[/tex]

[tex]\prod=\sqrt{576}\\\prod=24[/tex]

Hence the geometric mean of the given numbers is 24.

Learn more about the geometric mean here;

https://brainly.com/question/47038

Answer:

958.99

Step-by-step explanation:

Since the nine is bigger than four, you'd make the eight a nine.

For further help I suggest this website:

https://www.varsitytutors.com/hotmath/hotmath_help/topics/rounding-decimals

Answer:

First of all are we solving for x

Step-by-step explanation:

4 × 3 = 12 =

6 - 2 ×

Answer:

None of these answers

Step-by-step explanation:

Plug the points into the equation to see if they make sense

(4,-10),  -10=3(4)+2, -10=12+2, -10=14. Incorrect

(10,-4). -4=3(10)+2, -4=30+2, -4=32. Incorrect

(-10,-4), -4=3(-10)+2, -4=-30+2, -4=-28. Incorrect

Therefore, the answer is none of these answers

If this helps please mark as brainliest

Answer:

the answer is B

Step-by-step explanation:

She would have sold 96 cars in total.

Answer:

C. 22

Step-by-step explanation:

C = circumference

n (pi) = 22/7

r = 3 1 /2

Plug in the numbers for each variable.

C = 2x (22/7) x (3 1/2)

Change the mixed number inIto an improper fraction by multiplying 3 x 2 and adding the 1 which gives us 7 over 2 because 2 is our denominator  so, 3 1/2 = 7/2. It also helps to have 1 as the denominator for 2.

C = (2/1) x (22/7) x (7/2)

Lastly, just multiply the numerators across which give us 308 then multiply the denominators across which gives us 14, so then we divide 308 by 14 and get 22.

Answer:

The volume of the 12% sugar solution required, 'X' for a given volume of the 8% sugar solution, 'Y' is;

X = (2·Y + 15)/2

When the volume of the 8% sugar solution, Y = 2 quartz, the volume of the 12% sugar solution required, X = 9.5 gallons

Step-by-step explanation:

The data of the sugar solutions are;

The volume of 5% sugar solution Kate has = 3 quarts

The volume of the 12% sugar solution = X

Let 'Y' represent the volume of the 8% sugar solution, we have;

The volume of the resultant solution, Z = X + Y + 3

The concentration of the resultant solution = 10%

0.05 × 3 + 0.08·Y + 0.12·X = 0.1·(X + Y + 3)

Solving gives the relationship between the volume of the 12% sugar solution, 'X', and the 8% sugar solution, 'Y' in quartz, as follows;

X = (2·Y + 15)/2

When the volume of the 8% sugar solution, Y = 2 quartz, we have;

X = (2 × 2 + 15)/2 = 9.5

Therefore, the volume of the 12% sugar solution Katie requires to make the 10% sugar solution is 9.5 quartz.

Answer:

[tex]9x - 19 = 7x + 13 \\ 2x = 32 \\ x = 16 \\ 3y - 17 + 9x - 19 = 180 \\ 9x + 3y = 180 + 17 + 19 \\ 9x + 3y = 216 \\ 3y = 216 - 144 = 72 \\ y = \frac{72}{3} = 24[/tex]