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
Montano1993 [528]
3 years ago
12

5. A pole has to be erected at a point on the boundary of a circular park of diameter 13 metres in

Mathematics
1 answer:
lesya [120]3 years ago
4 0

Answer:

Thus, it is possible to erect a pole at a point p on the boundary of the park at distances 5m and 12m respectively from gates B and A.

Step-by-step explanation:

Let P be the required location of pole .

A and B are the two gates.

Let the distance of pole at p from gate be 'x' meters

i.e. PB = x m

•°• AP = (x + 7)m and AB = 13 m

•°• AP² + BP² = AB² => (x +7)² + x =13²

Rejecting x =-12, we get x = 5

•°• PB = 5m

and

AP = 12m

(I hope this helped :)

You might be interested in
3(x+4)&gt;12<br> can yall help me fr
Neko [114]

Answer:

x>0

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Tell whether the system has one solution infinitely many solutions or no solution <br> x=-7y+34
marin [14]
Add -7y and divide both sides to get one solution (0.20588)
5 0
3 years ago
4 friends earn $10.40 for washing a car. how each did each friend get
uysha [10]

Answer:

$2.60

Step-by-step explanation:


6 0
3 years ago
Read 2 more answers
What would be the dimensions for the poster at 1/4 times it’s current size
iVinArrow [24]

Answer:

D. Length = 9 cm; width = 6 cm

Step-by-step explanation:

Find 1/4 of the length and 1/4 of the width.

1/4 * 36 cm = 9 cm

1/4 * 24 cm = 6 cm

Answer: D. Length = 9 cm; width = 6 cm

6 0
3 years ago
How many elements does A contains if it has 64 subsets​
Amanda [17]
<h3>Answer:  6</h3>

===========================================================

Explanation:

Rule: If a set has n elements in it, then it will have 2^n subsets.

For example, there are n = 3 elements in the set {a,b,c}. This means there are 2^n = 2^3 = 8 subsets. The eight subsets are listed below.

  1. {a,b,c} .... any set is a subset of itself
  2. {a,b}
  3. {a,c}
  4. {b,c}
  5. {a}
  6. {b}
  7. {c}
  8. { } ..... the empty set

Subsets 2 through 4 are subsets with exactly 2 elements.  Subsets 5 through 7 are singletons (aka sets with 1 element). The last subset is the empty set which is a subset of any set. You could use the special symbol \varnothing to indicate the empty set.

For more information, check out concepts relating to the power set.

-------------------

The problem is asking what value of n will make 2^n = 64 true.

You could guess-and-check your way to see that 2^n = 64 has the solution n = 6.

Another approach is to follow these steps.

2^n = 64\\\\2^n = 2^6\\\\n = 6

Which is fairly trivial.

Or you can use logarithms to solve for the exponent.

2^n = 64\\\\\text{Log}\left(2^n\right)=\text{Log}\left(64\right)\\\\n*\text{Log}\left(2\right)=\text{Log}\left(64\right)\\\\n=\frac{\text{Log}\left(64\right)}{\text{Log}\left(2\right)}\\\\n\approx\frac{1.80617997398389} {0.30102999566399} \ \text{ ... using base 10 logs}\\\\n\approx5.99999999999983\\\\

Due to rounding error, we don't land exactly on 6 even though we should.

5 0
2 years ago
Other questions:
  • Please help with me solve this function f(10)=
    6·1 answer
  • n 2018, homes in East Baton Rouge (EBR) Parish sold for an average of $239,000. You take a random sample of homes in Ascension p
    15·1 answer
  • Jocelyn estimates that a price of wood measures 5.5 cm. If it actually measures 5.62 cm, what is the percent error of Jocelyn's
    15·1 answer
  • The cost, in dollars, of producing x yards of a certain fabric is C(x) = 1500 + 12x − 0.1x2 + 0.0005x3. (a) Find the marginal co
    12·1 answer
  • One solution to the problem below is 5. What is the other solution? c^2 - 25 = 0
    13·2 answers
  • a total eclipse in 2003 lasted 2 17/24,minutes in 2005 it lasted 3/8 of a minute how much longer did it last in 2003
    12·2 answers
  • Someone please helpp!!??
    5·1 answer
  • Solve the expression. 0.02 × 0.3<br> A. 0.6<br> B. 0.06<br> C. 0.006
    9·1 answer
  • The retail price of a new iPhone is $850. Jailyn purchased the phone for $896.75. What was the tax rate as a percentage?
    11·1 answer
  • Jenna's rectangular garden borders a wall. She buys 80 ft of fencing. What are the dimensions of the garden that will maximize i
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!