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
MA_775_DIABLO [31]
2 years ago
10

A line from the top of a cliff to the ground passes just over the top of a pole 6.0 ft. high and meets the ground at a point 7.0

ft. from the base of the pole. if the point is 86 ft. from the base of the cliff, how high is the cliff? round to the nearest unit.
Mathematics
1 answer:
Anit [1.1K]2 years ago
7 0
This will solved using the concept of proportionality:
(height of the cliff)/(height of the pole)=(base of the cliff)/(length from base of pole to the rope)
thus, let the height of the cliff be x, plugging the values in the formula we obtain:
x/6=86/7
hence solving for x we get
x=(86×6)/7
x=73.71 ft
You might be interested in
Write the quadratic function in standard form.<br><br> y=2(x - 3)² +9
xz_007 [3.2K]

Answer:

y = 2x^2 - 12x + 27

Step-by-step explanation:

<u>Step 1:  Distribute the power</u>

y = 2(x - 3)² + 9

y = 2(x^2 - 6x + 9) + 9

y = 2x^2 - 12x + 18 + 9

y = 2x^2 - 12x + 27

Answer: y = 2x^2 - 12x + 27

5 0
2 years ago
Consider functions f and g.1 + 12f(1) = 12 + 4. – 12for * # 2 and 7 -64.2 – 16. + 1641 +48for a # -12 Which expression is equal
lisabon 2012 [21]

Given the following functions below,

\begin{gathered} f(x)=\frac{x+12}{x^2+4x-12}\text{ and} \\ g(x)=\frac{4x^2-16x+16}{4x+48} \end{gathered}

Factorising the denominators of both functions,

Factorising the denominator of f(x),

\begin{gathered} f(x)=\frac{x+12}{x^2+4x-12}=\frac{x+12}{x^2+6x-2x-12}=\frac{x+12}{x(x+6)-2(x+6)}=\frac{x+12}{(x-2)(x+6)} \\ f(x)=\frac{x+12}{(x-2)(x+6)} \end{gathered}

Factorising the denominator of g(x),

\begin{gathered} g(x)=\frac{4x^2-16x+16}{4x+48}=\frac{4(x^2-4x+4)}{4(x+12)} \\ \text{Cancel out 4 from both numerator and denominator} \\ g(x)=\frac{x^2-4x+4}{x+12}=\frac{x^2-2x-2x+4}{x+12}=\frac{x(x-2)-2(x-2)}{x+12}=\frac{(x-2)^2}{x+12} \\ g(x)=\frac{(x-2)^2}{x+12} \end{gathered}

Multiplying both functions,

undefined

4 0
1 year ago
151 1/2 over 25 1/4=6
Setler79 [48]

Answer: 6 = 6

Step-by-step explanation:

8 0
2 years ago
What does product mean
cluponka [151]

Answer:

product means times for e.g

Step-by-step explanation:

what is the product of 5 and 10

this means what

is 5 × 10

which equals to 50

7 0
2 years ago
Read 2 more answers
Would the mean or median best describe the following data?
abruzzese [7]
36 is the median and add them all then divide by 5 to get the mean 

8 0
3 years ago
Read 2 more answers
Other questions:
  • Solve the equation log(10-4x) = log(10-3x)
    5·1 answer
  • X² + 6x +8=0<br> In factoring algorithm
    10·2 answers
  • Tickets to a musical cost $15 for adults and $6 for students. Mr. James and Mrs. Reagan are taking their classes to the musical.
    9·2 answers
  • How do I complete this problem?​
    8·1 answer
  • A rectangle has a perimeter of 64 inches and a length of 22 inches. Which equation can you solve to find the width?
    13·2 answers
  • Divide 33.71 by 4 in long division
    9·1 answer
  • Justin wants his new treehouse to blend in with the leaves, so he decides to paint it green. He mixes some white paint and green
    12·1 answer
  • If 30% of the students in your class like basketball, how many students are in your class if 6 students like basketball?
    6·2 answers
  • Select the correct answer. A linear function has a y-intercept of -12 and a slope of 3/2. What is the equation of the line? y =
    15·1 answer
  • 3. Find the slope of the line<br> f(x)1/2x+8. Describe how the line slopes.
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!