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
vesna_86 [32]
3 years ago
5

Lincy is standing 20 feet from the circular wall of an above ground swimming pool and 49 feet from a point of tangency. Find the

radius of the pool.
Mathematics
1 answer:
BaLLatris [955]3 years ago
7 0

Answer:

the radius of the pool is 50.025 feet

Step-by-step explanation:

From the information given:

We can have a schematic view of a diagrammatic illustration in our mind where the distance of the pool to Lincy is (20 + r ) and the distance to the tangent is 49.

So; by using pythagoras theorem, since the radius meets the tangent at a right angle; we have:

r^2 + 49^2 = ( r + 20 )^2

r^2 +2401 = r^2 + 40r + 400

2401 =   40r + 400

2401-  400  =   40r

2001 = 40 r

r = 2001/40

r = 50.025 feet

You might be interested in
Plz help meeeee<br><br>3²⁴ = 3¹²x (x is in power)<br><br><br>​
RSB [31]

Answer:

x=3

Step-by-step explanation:

You have to multiply exponents.

4 0
3 years ago
Read 2 more answers
Quinzel and Joseph sell shoes. Last month Quinzel sold 18 less pairs
hichkok12 [17]

Answer:

Quinzel sold 17 pairs of shoes last month.

Step-by-step explanation:

Let be "Q" the number of pairs of shoes Quinzel sold last month and "J" the number of pairs of shoes Joseph sold last month.

Set up a system of equations:

\left \{ {{Q=J-18} \atop {Q+J=52} \right.

Solve for "J" from the first equation:

J=Q+18

Applying the Substitution Method, you get:

Q+J=52\\\\Q+(Q+18)=52\\\\2Q=52-18\\\\Q=\frac{34}{2} \\\\Q=17

7 0
3 years ago
1/2(6+3p)-3/4(8-10p)<br> Expand and simplify
andreev551 [17]
When you take this problem and simplify it you get 9p-3
5 0
3 years ago
Read 2 more answers
Why do many animals in grasslands stay together in herds?
mixas84 [53]

Answer:

plz put one qusetion a time plz so i can put it down better

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
A school dance committee has 14 volunteers. Each dance requires 3 volunteers at the door, 5 volunteers on the floor, and 6 float
siniylev [52]

There are 91 such ways in whih the volunteers can be assigned if two of them cannot be assigned from 14 volunteers.

Given that a school dance committee has 14 volunteers and each dance requires 3 volunteers at the door, 5 volunteers on the floor and 6 on floaters.

We are required to find the number of ways in which the volunteers can be assigned.

Combinations means finding the ways in which the things can be choosed to make a new thing or to do something else.

nC_{r}=n!/r!(n-r)!

Number of ways in which the volunteers can be assigned is equal to the following:

Since 2 have not been assigned so left over volunteers are 14-2=12 volunteers.

Number of ways =14C_{12}

=14!/12!(14-12)!

=14!/12!*2!

=14*13/2*1

=91 ways

Hence there are 91 such ways in whih the volunteers can be assigned if two of them cannot be assigned.

Learn more about combinations at brainly.com/question/11732255

#SPJ1

5 0
2 years ago
Other questions:
  • Which point is the midpoint of AE
    10·1 answer
  • The polygons are similar. The area of one polygon is given. Find the area of the other polygon,
    12·1 answer
  • A root of x2 – 5x – 1 = 0 is
    5·2 answers
  • What is the distance between (-4,-8) and (-4,0) round to the nearest tenth if needed​
    15·1 answer
  • Zachary purchased a computer for $1,500 on a payment plan. Four months after he purchased the computer, his balance was $960. Si
    13·1 answer
  • Solve for n.<br><br><br><br> (Thank you!)
    8·2 answers
  • Which graph represents an exponential function?
    12·2 answers
  • The equation shown has an unknown number. Write a fraction that makes the equation true.
    5·1 answer
  • The discriminant if a quadratic equation is negative. One solution is 4 + 7i. What is the other solution? *
    6·1 answer
  • Jaymile wants to construct congruent angles with a compass and straightedge, while Annie wants to construct congruent segments w
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!