1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Eva8 [605]
1 year ago
7

a utility pole is 8m high. a cable is stretched from the top of the pile to a point in the ground that is 7 m from the bottom of

the pole. how long is the cable? round to 2 decimal places
Mathematics
1 answer:
Olin [163]1 year ago
5 0

We can draw this as:

We can use the Pythagorean theorem to find the length of the cable, as it is the hypotenuse of a right triangle:

\begin{gathered} c^2=7^2+8^2 \\ c^2=49+64 \\ c^2=113 \\ c=\sqrt[]{113} \\ c\approx10.63 \end{gathered}

Answer: the cable length is 10.63 m.

You might be interested in
What is 1/4 divided by 9/10 rewritten with an important fraction?
lutik1710 [3]

Step-by-step explanation:

{:}\hookrightarrow\sf \dfrac {1}{4}\div \dfrac {9}{10}

{:}\hookrightarrow\sf \dfrac {1}{4}\times \dfrac {10}{9}

{:}\hookrightarrow\sf \dfrac {10}{36}

{:}\hookrightarrow\sf \dfrac {5}{18}

8 0
3 years ago
The midpoint of XY is (3,-5). Find the coordinates of point X. Y=(2.5,-6.5)
White raven [17]

Answer:

x=(2,-5.3)

Step-by-step explanation:

Hope this helps

7 0
2 years ago
2. What is the slope of the line through<br> the points (-5, 7) and ({0,-2) ?
valentinak56 [21]

Answer:

-9/5

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-2-7)/(0-(-5))

m=-9/(0+5)

m=-9/5

6 0
2 years ago
A collection of five coins has a value of $1 and consists of dimes and
DENIUS [597]

For this case we propose a system of equations. We have to:

x: Let the variable that represents the number of dimes

y: Let the variable that represents the number of quaters

We know that:

One dime equals 10 cents, $0.10

A quater equals 0.25 cents, $0.25

According to the statement we have:

x + y = 5\\0.10x + 0.25y = 1

We multiply the first equation by -0.10:

-0.10x-0.10y = -0.5

We have the following equivalent system:

-0.10x-0.10y = -0.5\\0.10x + 0.25y = 1

We add the equations:

-0.10x + 0.10x-010y + 0.25y = -0.5 + 1\\0.15y = 0.5\\y = \frac {0.5}{0.15}\\y = 3.33

Approximately 3 quater coins

x = 5-y = 5-3 = 2

And two dimes

Answer:

3 quater

2 dimes

4 0
3 years ago
Helppppppppppppp meeeee pleaseeeeeee
Arte-miy333 [17]

Answer:

I'm pretty sure it's the first and last one

3 0
3 years ago
Other questions:
  • 4x-7y=-8 <br> 3x+2y=-6 <br><br> i need to solve for x and y
    12·1 answer
  • Which method for calculating credit card balances is best for consumers who make large payments? A) Average daily balance method
    10·1 answer
  • Dora bought a bottle of nail polish that was marked down by 20 percent from its original price of $4.50. Including a 9 percent s
    5·2 answers
  • Given the following triangle, what is the measure of the missing side?
    5·1 answer
  • 74.80 decreased by 45%
    12·1 answer
  • Which graph shows a set of ordered pairs that represents a function?
    6·1 answer
  • What is the reciprocal of 9/11
    8·2 answers
  • This Is My Last Question And I'm Giving 20 Points
    15·1 answer
  • The length of a rectangle is the width minus 8 units. The area of the rectangle is 9 units. What is the length, in units, of the
    9·1 answer
  • Pls help this is due today and i have no idea
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!