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wlad13 [49]
3 years ago
9

A painter needs to buy a ladder in order to paint a wall that is 18 feet high. In order to ensure the ladder does not fall it ne

eds to be placed 3 feet away from the wall. What size ladder does the painter need to buy to ensure that he will be able to paint the highest point of the wall? Write your answer rounded to the ncarest tenth.​
Mathematics
1 answer:
trapecia [35]3 years ago
6 0

Answer:

222! thats your answer!

Step-by-step explanation:

You might be interested in
if we have a geometric series with u1 = 2.1 and r= 1.06, what would the least value of n be such that Sn > 5543?
bulgar [2K]

Answer:

  88

Step-by-step explanation:

Write the expression for the sum in the relation you want.

  Sn = u1(r^n -1)/(r -1) = 2.1(1.06^n -1)/(1.06 -1)

  Sn = (2.1/0.06)(1.06^n -1) = 35(1.06^n -1)

The relation we want is ...

  Sn > 5543

  35(1.06^n -1) > 5543 . . . . substitute for Sn

  1.06^n -1 > 5543/35 . . . .  divide by 35

  1.06^n > 5578/35 . . . . . . add 1

  n·log(1.06) > log(5578/35) . . . take the log

  n > 87.03 . . . . . . . . . . . . . . divide by the coefficient of n

The least value of n such that Sn > 5543 is 88.

3 0
2 years ago
Discrete Math
andrezito [222]

Answer:

Part c: Contained within the explanation

Part b: gcd(1200,560)=80

Part a: q=-6         r=1

Step-by-step explanation:

I will start with c and work my way up:

Part c:

Proof:

We want to shoe that bL=a+c for some integer L given:

bM=a for some integer M and bK=c for some integer K.

If a=bM and c=bK,

then a+c=bM+bK.

a+c=bM+bK

a+c=b(M+K) by factoring using distributive property

Now we have what we wanted to prove since integers are closed under addition.  M+K is an integer since M and K are integers.

So L=M+K in bL=a+c.

We have shown b|(a+c) given b|a and b|c.

//

Part b:

We are going to use Euclidean's Algorithm.

Start with bigger number and see how much smaller number goes into it:

1200=2(560)+80

560=80(7)

This implies the remainder before the remainder is 0 is the greatest common factor of 1200 and 560. So the greatest common factor of 1200 and 560 is 80.

Part a:

Find q and r such that:

-65=q(11)+r

We want to find q and r such that they satisfy the division algorithm.

r is suppose to be a positive integer less than 11.

So q=-6 gives:

-65=(-6)(11)+r

-65=-66+r

So r=1 since r=-65+66.

So q=-6 while r=1.

3 0
3 years ago
Principal, $2000; Annual interest rate, 5.4%; time, 2 years; The balance after 2 years is?
Sloan [31]
P = $2000
R = 5.4%
T = 2 yrs

Interest = PTR/100 = 2000*2*5.4/100 = $216
Balance = $2000 + $216 = $2216
3 0
3 years ago
What is the arc length if Θ = 2pi/3 and the radius is 4 cm? 8pi/3<br> 16pi/3<br> pi/6<br> 3pi/4
astraxan [27]
There's a simple formula for finding the arc length.
   
In radians:<span>
A = θ*r = (2pi/3) x 4 cm = 8*pi/3 cm

Therefore, the answer is letter A </span> <span>8*pi/3 cm.

I hope my answer has come to your help. God bless and have a nice day ahead!
</span>
5 0
2 years ago
Read 2 more answers
A grocery stores studies how long it takes customers to get through the speed check lane. They assume that if it takes more than
Reptile [31]

The probability that a randomly selected customer takes more than 10 minutes will be 8.38%

<em><u>Explanation</u></em>

The average or mean(\mu) is 8.56 minutes and standard deviation(\sigma) is 1.04 minutes.

<u>Formula for finding the z-score</u> is:   z= \frac{X-\mu}{\sigma}

So, the z-score for X= 10 minutes will be.....

z(X=10)=\frac{10-8.56}{1.04}=\frac{1.44}{1.04}=1.3846... \approx 1.38

Now, according to the standard normal distribution table,  P(z . So.....

P(X>10)=P(z>1.38)= 1-P(z

So, the probability that a randomly selected customer takes more than 10 minutes will be 8.38%

3 0
3 years ago
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