Two poles of different heights are used for a climbing event and need to be secured to the ground using wires. The shorter pole is 6.0 m tall and the wire is secured 8.0 m from the base of the pole. If wire of the taller pole is 16.0 m long. Determine the height of the taller pole .

Answer:

C

Step-by-step explanation:

Since every side of ΔABC is dilated by 3, or triple the size

We multiply every length of ΔABC by 3

But the length of DF and FG are already done for us but DG is not, which is essential to finding the answer

7 x 3 = 21

DG = 21

5/7 = 15/21

5 ÷ 7 = 0.71

15/21 = 0.71

5/7 = 15/21

Value of [tex]\boldsymbol{DG}[/tex] in a triangle [tex]DFG[/tex] is equal to [tex]\boldsymbol{21}[/tex] inches. To understand the calculations, check below.

Two triangles are said to be similar if their sides are proportional and their angles are equal.

Triangles [tex]ABC,DFG[/tex] are similar

[tex]\frac{AB}{DF}=\frac{BC}{FG}=\frac{AC}{DG}[/tex]

[tex]\frac{5}{15}=\frac{7}{DG}[/tex]

[tex]DG=21[/tex] inches

So, value of [tex]DG[/tex] is equal to [tex]\boldsymbol{21}[/tex] inches

Find out more information about triangle here:

https://brainly.com/question/2773823?referrer=searchResults

Answer:

0.056  

Step by step explanation:

Answer:

1

Step-by-step explanation:

-5 is a constant because its a number on its own without a variable

Answer:

There is only 1 constant

Step-by-step explanation:

the constant is -5 because it's alone without any variables

Answer:

17 meters x 20 meters

Step-by-step explanation:

perimeter =  2 widths + 2 lengths

74 = 2W + 2L

L = W + 3

substitute for L

74 = 2W + 2(W + 3)

74 = 4W + 6

68 = 4W

W = 17 meters

L = 20 meters

Answer:

Step-by-step explanation:

Givens

Let the width = w

Then the Length = w + 3

Formula

P = 2L + 2W

P = 74

Solution

Substitute w + 3 for L

2(W + 3) + 2W = 74       Remove the brackets

2W + 6 + 2W = 74        Collect Like Terms

4w + 6 = 74                  Subtract 6 from both sides

4w = 74 - 6

4w = 68                        Divide by 4

w = 68/4

w = 17

L = w + 3

L = 17 + 3

L = 20

Check

P = 40 + 34

P =74

Answer:

60 miles per hour

Step-by-step explanation:

360 miles / 6 hours = 60 miles per hour

Answer:

60, I hope this helped and please mark brainliest!

Step-by-step explanation:

This would be 60 miles per hour since you divide 360 by 6. So the rate is 60.

Answer:

2.5 hours

Step-by-step explanation:

60+2t=40+10t

hope this helps, have a great day :)

Answer:

45/56

Step-by-step explanation:

We have,

Numerator = 45 L

Denominator = 56 L

We need to find the ratio as a fraction in simplest form. So,

[tex]\dfrac{N}{D}=\dfrac{45}{56}[/tex]

As there is no common factor between 45 and 56. It means the simplest fraction is 45/56.

Answer:

1 milli meter = 0.1 centi meter

Answer:

under the circustances of this trajectory the triangular polverinization oxiding cells are answer choice A thus that answer is not a scalene triangle

Step-by-step explanation:

Answer:

15.51

Step-by-step explanation:

14.91x4%=.60

14.91+.60=15.51

Answer:

Yes it a right triangle!!

Hope it helps you!!

Answer:

No

Step-by-step explanation:

6^2 + 8^2 doesn't equal 12^2

Answer:

y= 3x/4 − 1

Step-by-step explanation:

Answer:

2 units

Step-by-step explanation:

We are given that

Angle ,[tex]\theta=\frac{\pi}{2}[/tex]radian

Length of an arc=[tex]\pi[/tex]

We have to find the radius of circle in simples form.

We know that

[tex]\theta=\frac{l}{r}[/tex]

Where l=Length of arc

r=Radius of circle

Using the formula

[tex]\frac{\pi}{2}=\frac{\pi}{r}[/tex]

[tex]r=\frac{2\times \pi}{\pi}[/tex]

[tex]r=2[/tex]units

Hence, the radius of the circle=2 units

Answer:

22

Step-by-step explanation:

Answer:

3 miles

Step-by-step explanation:

This is because Derek would be your right angle of the corner of the right triangle. And since the distance is both of those houses from Derek’s house, you would have to use the Pythagorean Theorem to find the difference of the hypotenuse and the leg

Answer:

-3

3/2

Step-by-step explanation:

Y intercep is the point where the line intercepts the y axis. That is 3 in this graph.

slope. Choose two points. For the sake of explainin, I am choosing

(-3,1)

and (0,3). That’s the y intercept!!

The slope is the rate of increase. We have to measure it like we do with stairs. The rise divided by the run

the rise is 2. See the picture. The run is 3(change in x) the x increases by 3 between 2 integer points while the y changes by 3(change in y —>3 minus 1)

Rise= 3

run =2

Slope=rise/run=3/2

Step-by-step explanation:

Write more compactly about functional relationships such as, “If you sell x tickets, then your profit will be ... Jason goes to an amusement park where he pays $8 admission and $2 per ride.

Answer:

A=-6 is the answer

Step-by-step explanation:

it's simple

Answer:

Step-by-step explanation:

Answer:

y = - 6x - 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 2, 9) and (x₂, y₂ ) = (0, - 3)

m = [tex]\frac{-3-9}{0+2}[/tex] = [tex]\frac{-12}{2}[/tex] = - 6

The line crosses the y- axis at (0, - 3 ) ⇒ c = - 3

y = - 6x - 3 ← equation of line

Answer:

150 This is right 4sure i did this test to.

Step-by-step explanation:

Answer:

The inequality to represent the amount of money Diego can spend on a single pair of socks, 'Y', is;

Y ≤ $3.07

Step-by-step explanation:

The parameters for the maximum earnings and the number a=of socks for soccer Diego can buy are;

The maximum amount Diego has, A = $35

The cost of the shorts Diego wants, S = $19.95

The number of pairs of socks Diego needs, n = 5 pairs

Let the

Given that, 'x', represents the price of a pair of socks, we have, the inequality to represent the amount of money Diego can spend on a single pair of socks, 'Y', is given as follows;

Y ≤ (A - S)/n

Plugging in the known values of 'A', 'S', and 'n', we have;

Y ≤ (35 - 19.65)/5 = 3.07

∴ Y ≤ $3.07

i think part a is: yes because both triangles are right angles. it would be postulate SAS

not sure for part b

Answer:

90

Step-by-step explanation:

1/2x20x9=90

Answer:

yo mama

Step-by-step explanation:

Answer and Step-by-step explanation:

Find [x]:  <--------------- (Childish Answer)

                                |

                                |

4 + y = 3x - 5            |

                                |

                                |

----------------------------^

^---------------

I found x!! ^

#teamtrees #WAP (Water And Plant)

Answer:

124

Step-by-step explanation:

5 out of 40 = ⅛ of the students stated they would like to have a school uniform policy.

992 × ⅛ = 124