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Option b is correct, the length of the guy wire should be 424.0 feet.

Let us denote the length of the guy wire as "x."

We can form a right triangle using the height of the tower, the distance from the top to where the guy wire is attached (5 feet), and the length of the guy wire (x).

In the right triangle, the sine of the angle is defined as the ratio of the opposite side (height of the tower - 5 feet) to the hypotenuse (length of the guy wire).

sin(20°) = (height of the tower - 5 feet) / x

To find x, we can rearrange the equation as follows:

x = (height of the tower - 5 feet) / sin(20°)

Substituting the given values:

x = (150 feet - 5 feet) / sin(20°)

x = 145 feet / 0.3420

x = 424.2 feet

Hence, the length of the guy wire should be approximately 424.0 feet.

To learn more on trigonometry click:

https://brainly.com/question/25122835

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Answer: {0, -4}

Step-by-step explanation: Notice that the two terms on the left side

of the equation have a greatest common factor of 6x.

So start by factoring out a 6x to get 6x(x + 4) = 0.

So either 6x = 0 or x + 4 = 0.

Eventually we find that x = 0 or x = -4.

So our solution set is {0, -4}.

Answer:

x=75

Step-by-step explanation:

Answer:

x=-75

Step-by-step explanation:

Hope this helps.

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[tex]p - \frac{19}{6} = - \frac{15}{6} \\ [/tex]

Add sides 19 / 6

[tex]p - \frac{19}{6} + \frac{19}{6} = - \frac{15}{6} + \frac{19}{6} \\ [/tex]

[tex]p = \frac{19 - 15}{6} \\ [/tex]

[tex]p = \frac{4}{6} \\ [/tex]

[tex]p = \frac{2 \times 2}{2 \times 3} \\ [/tex]

[tex]p = \frac{2}{3} \\ [/tex]

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Answer:

Were a number is divided by another.

Answer:

look it up but I learned this. A divisor - I forgot but here, the Web told me:

divisor

[dəˈvīzər]

NOUN

mathematics

a number by which another number is to be divided.

a number that divides into another without a remainder.

"the greatest common divisor"

HOPE I HELPED!

Answer:

(a) P(1) = 3

(b) P(-2) = 15

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

P(x) = x³ + 4x² - 3x + 1

P(1) is x = 1

P(-2) is x = -2

Step 2: Evaluate

P(1)

P(-2)

Answer:

Step-by-step explanation:

Substitute the value of x:

a) P(x) = x³ + 4x² - 3x + 1

b) P(x) = x³ + 4x² - 3x + 1

Divide price by quantity:

3.00 / 12 = $0.25 per can.

Answer:

1/13

Step-by-step explanation:

Ice cream

starting = 2/3 full

After Jenna's shift = 1/6 of the tub

Total Time = 6.5hours

Amount of ice cream consumed = [tex]\frac{2}{3} - \frac{1}{6}[/tex]

                                                  = [tex]\frac{1}{2}[/tex] = 0.5

Rate per hour = amount of ice cream consumed -=/ total time

                      = 0.5/6.5 = 1/13  ice cream consumed per hour

Answer:

[tex]x^3[/tex]

Step-by-step explanation:

Division for exponents with the same base is just subtracting the exponents.

10 - 7 = 3

You'll get x to the third power because 10 minus 7 is 3.

Answer:

Step-by-step explanation:

3.5(2.25+x)=14

x=1.75

Answer:

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

x = 1.75

Answer:

25c

Step-by-step explanation:

Step-by-step explanation:

55-30 = 25

25 out of 55 chose the soup.

Hope that helps

Answer:

30:55

Step-by-step explanation:

30 out of the 55 students that bought lunch, bought sandwiches. So, 30 sandwiches to 55 students. It's a trick question that gives you all the information in the question itself, so it's fairly simple. I hope I'm right tho lol

Answer:  a. Kurtis is moving to a new city to start the job he was hired for.

Step-by-step explanation: "is moving"  is present progressive tense.

"was hired"  is passive past tense.

"to start" is an infinitive.

These are correct verb forms.

b is almost correct. Kurtis "moved" is OK  in the past tense. *is started* should be "has started"

c  is partly correct.  *to starting* is ungrammatical here.

d  is wrong because *to started* is always ungrammatical.

Answer:

7) nth term a₁₈ is 160

8) nth term a₃₆ is 128

Step-by-step explanation:

7) Find nth term of each arithmetic sequence

[tex]a_1=7, d=9, n=18[/tex]

The formula used to find nth term is: [tex]a_n=a_1+(n-1)d[/tex]

Putting values and finding nth term n=18

[tex]a_n=a_1+(n-1)d\\a_{18}=7+(18-1)9\\a_{18}=7+(17)9\\a_{18}=7+153\\a_{18}=160[/tex]

So, nth term n₁₈ is 160

8) Find nth term of each arithmetic sequence

[tex]a_1=-12, d=4, n=36[/tex]

The formula used to find nth term is: [tex]a_n=a_1+(n-1)d[/tex]

Putting values and finding nth term n=36

[tex]a_n=a_1+(n-1)d\\a_{36}=-12+(36-1)4\\a_{36}=-12+(35)4\\a_{36}=-12+140\\a_{36}=128[/tex]

So, nth term n₃₆ is 128

Answer:

  A.   y = -3x + 5

Step-by-step explanation:

Use any two points to find slope, let's use (-2, 11) and (4, -7):

  slope m = (y₂ - y₁) / (x₂ - x₁)

                = (-7 - 11) / (4 - (-2))

                = -18 / 6

            m = -3

Use above slope and any one point to find y-intercept, let's use (10, -25):

  y = mx + b

  -25 = -3(10) + b

  -25 = -30 + b

  b = 5

Use m and b above to form equation of line:

  y = mx + b

  y = -3x + 5

Answer:

$1.56

Step-by-step explanation:

1.50 times 0.04 is 0.06

1.50+0.06

$1.56

Answer:

ANswer is $2.10.

Step-by-step explanation:

The tax is $.60 and you add that to $1.50.

Answer:

x= -8

y= -17

Step-by-step explanation:

Answer:

If you trying to find x and y is the answer is:

x=-8 and y=-17

or

(-8,-17)

Step-by-step explanation:

First you need to subtract the two equations which becomes 2x+16=0

Now you move the 16 to the other side by subtracting 16 on both sides:

2x=-16

Now divide 2 on both sides to eliminate the 2 on 2x

x=-8

Now that you got -8 as x you can replace x on the two equations any one of them you only need to get one but I am going to use both of them to show you that it is the same:

y= 3(-8)+7

y=-17

y=-8-9

y=-17

Hope this helps!

Answer:

B. 2 ÷ 11

I hope this helps!

Answer:

it's B

Step-by-step explanation:

lol how do you not know this

Answer:

B

Step-by-step explanation:

Answer:

10(2w+7)

Step-by-step explanation:

Answer:

54266.25

Step-by-step explanation:

Answer:

( -8,0, 0) , ( -8, 1, 0) and  ( -8, 1, -5)

Step-by-step explanation:

We need to visualize the given situation in 3D

Coordinates is in the form of (x, y, z)

Henna starts from origin moves back 8 units Negative x-axis

x = -8   point will be ( -8,0, 0)

turning 1 unit right will be parallel to the y axis in positive y-axis direction

y = 1 point will be ( -8, 1, 0)

Moving down by 5 units, Negative z-axis

Z = -5 point will be ( -8, 1, -5)

Answer:

(-8,1,-5)

Step-by-step explanation:

Dont make it complicated, a whole paragraph for one answer is not needed

Answer:

Slope = 3

Step-by-step explanation: If Wyatt is at (0,0), and the kite is at (24,72), then you use the slope formula:

(72-0) / (24-0)

72/24

3

Answer:

D. 26

Step-by-step explanation:

evaluate the fraction first

6+9

---

7-2

15

----

5

3

10 times 3 - 2 to the power of 2 which is 4

30-4 is 26

Answer:

1

Step-by-step explanation:

Answer is B

B. 105

Hope this helps

Answer:

It would be J

Step-by-step explanation: