A 40-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 poleis the wire attached? Write your answer in simplest form.

Answer:

A linear graph is nothing but a straight line or straight graph which is drawn on a plane connecting the points on x and y coordinates.

Answer: is a diagram which shows a connection or relation between two or more quantity.

Step-by-step explanation:

Answer:

It's a right angle triangle with

                        [tex]tan 12 = \frac{500}{x} \\\\x = \frac{500}{tan12}\\\\x = 2352.3ft[/tex]

Answer:

Long part= 45

Short part= 25

Step-by-step explanation:

Let the short part of the stick be x

Let the long part be x+20

The total length of the stick is 70cm

x + (x+20)= 70

x+x+20= 70

2x+20= 70

2x= 70-20

2x= 50

x= 50/2

= 25

Longer part length= 20+25

= 45

The short part is 25

Answer:

x = 16

Step-by-step explanation:

*A triangle's interior angles always add up to 180 degrees*

1. The square on the left-hand side means 90 degrees

2. To find the degrees on the 150 degrees side we need to subtract 180 from 150  as the line it's on equals 180 degrees

180 -151 = 29

3. Now we know 3 out of the two angles, so if we add them up and subtract them from 180 degrees we will have the 3rd angle

29 +90 = 119

180 - 119 = 61

4. Now we can put that in with the equation

4x + 3 = 61

5. Solve

4x - 3 = 61

    + 3   +3

4x = 64

/4     /4

x = 16

Answer:

The second one I think

Step-by-step explanation:

Answer:

Center: (−3,2)

Radius: 3

Step-by-step explanation:

Answer:

x= 20

Step-by-step explanation: 20+5 is 25 degrees 20 times 7 is 140-5 is 135 degrees +20 degrees equals 180 degrees

Answer:

The answer is still 15. Because

Answer:

11.70

Step-by-step explanation:

d=√((16-5)^2+(14-10)^2)=11.7046999...

Answer:

936 square units.

Step-by-step explanation:

Area formula of trapezoid: [tex]A=\frac{a+b}{2}h[/tex]

given information:

   a = 40

   b = 64

   h = 18

plug them into the formula:

[tex]A=\frac{40+64}{2}\cdot 18[/tex]

[tex]A = 936[/tex]

Answer:

339.29

Step-by-step explanation:

Use formula for cylinder: [tex]V=\pi r^2h[/tex].

Note: I rounded to the nearest hundreth.

Answer:

The answer is r^10s^6/r-5s^9= r^10/r-^5 = r^15

Step-by-step explanation:

the answer is r^15

Answer:

35.2 ; 4.75

Step-by-step explanation:

Given that :

Mean age, μ = 35.2 years

Standard deviation, σ = 9.5 years

The mean of the sampling distribution will be equal to the population mean, μ, this is according to the central limit theorem.

The standard deviation of the sampling distribution, is given by : σ/√n

n = sample size = 4

SD of sampling distribution = 9.5/√4 = 9.5 / 2 = 4.75

Answer:

There are 1766 chipmunks in the population

Step-by-step explanation:

Number of individuals increasing per year = 265

Rate of increase = 0.15

Rate of increase = increase in number of individuals in a given population /total population

Substituting the given values, we get -

0.15 = (265/total population)

Total population = 265/0.15 = 1766

Answer:

5/8 + 3/4= 11/8

-2/3-5/6 =-3/2

Since the second is dividing the first

11/8 ÷ -3/2

Flipping; Then change the bottom to the top(Do this to the second fraction)

11/8 x -2/3

=-11/12.

Answer:

Yea you correct, you answer is right

[tex]\huge{ \mathfrak{ \underline{ Answer \: \: ✓ }}}[/tex]

C.) 64 to 66 seconds

because, the function is decreasing with respect to time between interval 64 to 66 seconds.

[tex]\#TeeNForeveR[/tex]

Answer:

( Hint)

Step-by-step explanation:

55-5= 5x>-25-5

50= 5x>-30

10=x>-6

Answer:

arwa

Step-by-step explanation:

A scalene triangle has no equal length sides. It also has no equal inside angles. These triangles can be acute (all angles less than 90°), right-angled (one angle is 90°), or obtuse (one angle is more than 90°)

Answer:

Right scalene triangle

Step-by-step explanation:

Scalene triangles have no equal sides. A right scalene triangle has no equal sides, and one right angle.

Answer:

The answer is -2 ≥ 20

Step-by-step explanation:

You add -4 and 2

Answer:

13cm

Step-by-step explanation:

Let the given lengths be the opposte amd adjacent sides of a right triangle'

The missing side will be the hypotenuse

Using the pythagoras theorem;

hyp^2  = 5² + 12²

hyp² = 25 + 144

hyp² = 169

hyp =√169

hyp = 13cm

Hence the missing one is 13cm

Answer:

G = 50

Step-by-step explanation:

50 is the initial after-cost, right?

answer is : The function formula will be

Since we have given that

Charges per each magical broom he makes for his customers = 125 gold pieces

Charges of one time fees = 50 gold pieces

Let the number of magical brooms he makes be 'x'.

Let the total number of gold pieces be 'G'.

According to question, it becomes

Step-by-step explanation:Since we have given that

Charges per each magical broom he makes for his customers = 125 gold pieces

Charges of one time fees = 50 gold pieces

Let the number of magical brooms he makes be 'x'.

Let the total number of gold pieces be 'G'.

According to question, it becomes

Since we have given that

Charges per each magical broom he makes for his customers = 125 gold pieces

Charges of one time fees = 50 gold pieces

Let the number of magical brooms he makes be 'x'.

Let the total number of gold pieces be 'G'.

According to question, it becomes

A option A

Step-by-step explanation:

according to if the binders its so important you need to buy it for $30 but its not really important buy for 16.80 and if you want to use for 1 time buy 7 binders but if you want to use much times buy for $30 and you need to see if that really care because you need to see if was a good material

Answer:

8

Step-by-step explanation:

So we have 12 1/2 - (-4 1/2)

6-(-2)

6+2

8

[tex] \sf12 \frac{1}{2} - ( - 4 \frac{1}{2} ) = \boxed{ ? }[/tex]

[tex] \sf: \implies \sf12 \frac{1}{2} - ( - 4 \frac{1}{2} ) = \boxed{ ? }[/tex]

Firstly, converting mixed fractions to improper fractions, We get,

[tex] \sf: \implies \frac{25}{2} - ( - \frac{9}{2} ) = \boxed?[/tex]

Now, solving the parentheses, We get,

[tex] \sf: \implies \frac{25}{2} + \frac{9}{2} = \boxed ?[/tex]

Since, We have like terms, We will directly add up the two fractions, We get,

[tex] \sf: \implies \frac{25 + 9}{2} = \boxed?[/tex]

Calculating further, We get,

[tex] \sf: \implies \frac{34}{2} = \boxed?[/tex]

Bringing the fraction to it's lowest terms, We get,

[tex] \sf: \implies \frac{ \cancel{34} \: \: \tiny{7}}{ \cancel2} = \boxed7[/tex]

[tex] \sf :\implies \sf12 \frac{1}{2} - ( - 4 \frac{1}{2} ) = \red{ \boxed{ \bf7 }}[/tex]

Answer:

The scale is 1:200

Step-by-step explanation:

On the plan we have the drawing as 6 cm

In real representation, we have the distance as 12 m

Firstly we have to convert to same unit

In this case, we use the cm for convenience

Mathematically, 100 cm is 1 m

Thus, 12 m

will be 12 * 100 = 1,200 cm

So, we have the ratio as;

6 cm : 1,200 cm

and that is 1:200 (since 6/1200 = 1/200 and in ratio form, we have that as 1:200)

Answer:

X would be equal to 37 degrees

Step-by-step explanation:

Answer:

x=37

Step-by-step explanation:

118+25+x= 180

143 + x = 180

= 37

check answer by 25+118+37=180

Answer:

Hello! answer: 1,200

Step-by-step explanation:

We know he pays 720 in a year so i divide that by 12 so... 720 ÷ 12 = 60 so he pays 60 each month for his telephone service since thats only 1/20 of his earning what I do is 60 × 20 and we get 1200 so craig makes 1200 a month hope that helps!

$1200, Craig earns each month.

The ratio can be defined as the number that can be used to represent one quantity as a percentage of another. Only when the two numbers in a ratio have the same unit can they be compared. Ratios are used to compare two objects.

Let's assume Craig earns $x per month.

The telephone bill is 1/20 of his monthly earnings, which is (1/20)x.

He pays a total of $720 each year for his telephone service.

Since there are 12 months in a year,

he pays (1/12) * 720 = $60 per month for his telephone service.

Therefore,

(1/20)x + $60 = x,

as he earns the same amount each month.

Simplifying the equation,

we get x/20 = $60

Multiplying both sides by 20,

we get x = $1,200

Therefore, Craig earns $1,200 per month.

Learn more about ratios here:

https://brainly.com/question/13419413

#SPJ3

Answer:

Step-by-step explanation:

Nope<3;p