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
sweet [91]
3 years ago
15

How long is a wire reaching from the top of a 12-foot pole to a point 6 feet from the base of the pole?

Mathematics
2 answers:
miskamm [114]3 years ago
8 0
<span> Using Pythagoras' theorem it is 6 times the sq rt of 5 which is about 13.416 </span><span>feet to 3 decimal places  </span>
Alex17521 [72]3 years ago
4 0
The pole is 12 foot long.

The wire from the top to the ground, 6feet from the pole, forms a right angle triangle.

By Pythagoras' Theorem:

x² = 12² + 6²

x² = 144 + 36

x² = 180          Take the square root of both sides.

x  = √180              Use a calculator

x ≈ 13.42 feet.

Length of wire ≈ 13.42 feet.
You might be interested in
2995 divided by 27 but estimated
Vinil7 [7]

Answer: 110

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Andrea's rectangle measures 2 1/2 units by 2 1/2 units. What is its area?
Art [367]

Answer:6.25

Step-by-step explanation:

2.5x2.5=6.25

8 0
2 years ago
The arch beneath a bridge is​ semi-elliptical, a​ one-way roadway passes under the arch. The width of the roadway is 38 feet and
forsale [732]

Answer:

Only truck 1 can pass under the bridge.

Step-by-step explanation:

So, first of all, we must do a drawing of what the situation looks like (see attached picture).

Next, we can take the general equation of an ellipse that is centered at the origin, which is the following:

\frac{x^2}{a^2}+\frac{y^2}{b^2}

where:

a= wider side of the ellipse

b= shorter side of the ellipse

in this case:

a=\frac{38}{2}=19ft

and

b=12ft

so we can go ahead and plug this data into the ellipse formula:

\frac{x^2}{(19)^2}+\frac{y^2}{(12)^2}

and we can simplify the equation, so we get:

\frac{x^2}{361}+\frac{y^2}{144}

So, we need to know if either truk will pass under the bridge, so we will match the center of the bridge with the center of each truck and see if the height of the bridge is enough for either to pass.

in order to do this let's solve the equation for y:

\frac{y^{2}}{144}=1-\frac{x^{2}}{361}

y^{2}=144(1-\frac{x^{2}}{361})

we can add everything inside parenthesis so we get:

y^{2}=144(\frac{361-x^{2}}{361})

and take the square root on both sides, so we get:

y=\sqrt{144(\frac{361-x^{2}}{361})}

and we can simplify this so we get:

y=\frac{12}{19}\sqrt{361-x^{2}}

and now we can evaluate this equation for x=4 (half the width of the trucks) so:

y=\frac{12}{19}\sqrt{361-(8)^{2}}

y=11.73ft

this means that for the trucks to pass under the bridge they must have a maximum height of 11.73ft, therefore only truck 1 is able to pass under the bridge since truck 2 is too high.

5 0
3 years ago
GIVING BRAINLIEST PLEASE HELP!!!
choli [55]

please give me the brainliest.

4 0
2 years ago
Read 2 more answers
Is negative 14 a rational number?
KATRIN_1 [288]
- 14 is <span>a rational number as it is equal to.. -14/1 ...
so in this way we get it in the form of p/q ...

Hope it helps !!!</span>
4 0
3 years ago
Other questions:
  • How many solutions does the system have? {y=−2x+2y=x2−3x Enter your answer in the box.
    15·1 answer
  • In one baseball season, Peter hit twice the difference of the number of home runs Alice hit and 6. Altogether , they hit 18 home
    10·1 answer
  • Find the coordinates of the midpoint of the segment with the given endpoints A(1,2) and B(3,6).
    11·1 answer
  • Dan recently bought a new mountain bike for $550. His friend works
    8·1 answer
  • I need help with 12-14. One answer will get thanks. The highest amount of answers will get brainliest.
    11·1 answer
  • Jake has piece of yarn that is 4 feet long. Blair has a piece of yarn that is 4 inches long. Who has the longer piece of yarn?
    7·2 answers
  • consider the point (x,y) lying on the graph of y=(x+3)^1/2. let L be the distance between the points (x,y) and (4,0). write l as
    6·1 answer
  • YO PLS HELP IM STUCK!
    13·1 answer
  • What is a nativist ? Help please
    8·2 answers
  • Your parents gave you P1,000.00 to cover food
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!