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likoan [24]
2 years ago
7

Tom built a fence around his rectangular shaped pool. The posts are 2 yards apart, there are 4 posts along the width and 8 posts

along the length. What are the dimensions of the fence?
Mathematics
1 answer:
klio [65]2 years ago
3 0
There are 24 (2x8+2x4) posts around the pool with 4 overlaps, therefore, there are 20 posts in total.
Among the 8 posts along one side, there are 7 gaps in between them. Hence, the length is 2x7=14yards
Among the 4 posts on the other side, there are 3 gaps in between them. Hence, the width is 2x3=6 yards
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The coordinate values of the vertices of △klm are integers. triangle klm has vertices located at (1, 1), (5, 4) and (5, 1). whic
worty [1.4K]
The rest of the queastion is :
<span> A) (-1, 1), (-1, 4), (2, 1)
B) (0, 0), (3, 4), (0, 5)
C) (-1, 1), (-4, 5), (-1, 5)
D) (0, 0), (-5, 0), (0, 4)
==============================
</span>

<span>The distance between two points (x₁,y₁),(x₂,y₂) = d
d = \sqrt{ (x2-x1)^{2} + (y2-y1)^{2} }</span>


we have <span>K(1, 1), L(5, 4) and M(5, 1)
we will find the length between each two points.
KL = </span><span>d = \sqrt{ (5-1)^{2} + (4-1)^{2} } = 5
</span>LM = <span>d = \sqrt{ (5-5)^{2} + (1-4)^{2} } = 3
KM = </span><span>d = \sqrt{ (5-1)^{2} + (1-1)^{2} } = 4

now check each group from the choices
the group that will give the same result will be the correct choice.
</span>The correct choice is C
<span>C) (-1, 1), (-4, 5), (-1, 5)

check the answer;
</span><span>K'(-1, 1), L'(-4, 5), M'(-1, 5)
</span>
<span>K'L' = <span>d = \sqrt{ (-4+1)^{2} + (5-1)^{2} } = 5
</span>L'M' = <span>d = \sqrt{ (-1+4)^{2} + (5-5)^{2} } = 3
K'M' = </span><span>d = \sqrt{ (-1+1)^{2} + (5-1)^{2} } = 4</span></span>
6 0
2 years ago
Find the difference. (k2−7k+2)−(k2−12)
Ostrovityanka [42]

Answer:

-7k + 14

Step-by-step explanation:

(k² - 7k + 2) - (k² - 12)

k² - 7k + 2 - k² + 12

k² - k² - 7k + 2 + 12

-7k + 14

3 0
1 year ago
Kiersten runs a website that helps people learn programming. Every month, Kiersten receives a subscription fee of
Svetradugi [14.3K]

Answer:

200 dollars,

I am assuming that your question goes like this: "Kiersten runs a website that helps people learn programming. Every month, Kiersten reveives a subscription fee of $10, $10 from each of the subscribers to her website. Last month, the website had 100 subscribers. This month, 30 new members joined the website, and 10 members cancelled their subscription. How much money will Kiersten's online business earn this month?

Step-by-step explanation:

Since her website had 100 subscribers last month, she earned $1000 (100 x 10). This month, 30 members joined and 10 members left, so in total, she gained 20 subscribers for a total of 120 subscribers this month. So she made 1200 dollars this month (100 x 120). She earned 200 more dollars this month since 1200-1000=20.

4 0
2 years ago
Use the fact that the variance of a Poisson distribution is σ2=μ. The mean number of bankruptcies filed per hour by businesses i
lianna [129]

Answer:

Variance = 5

Standard deviation = 2.236

0.2650257

Step-by-step explanation:

For a Poisson distribution is σ² = μ.

Given that:

Mean , μ of bankruptcies files per hour = 5

μ = 5

For a Poisson distribution :

P(x = x) = (μ^x * e^-μ) / x!

The Variance and standard deviation :

Variance : σ² = μ = 5

Standard deviation = sqrt(variance) = sqrt(5) = 2.236

B.) Find the probability that at most three businesses will file bankruptcy in any given hour.

P( x ≤ 3) = P(0) + P(1) + P(2) + P(3)

P(x = 0) = (5^0 * e^-5) / 0! = 0.0067379

P(x = 1) = (5^1 * e^-5) / 1! = 0.0336897

P(x = 2) = (5^2 * e^-5) / 2! = 0.0842243

P(x = 3) = (5^3 * e^-5) / 3! = 0.1403738

0.0067379 + 0.0336897 + 0.0842243 + 0.1403738

= 0.2650257

6 0
2 years ago
Bill has 4 letter blocks: A, B, C and D. In how many different ways can Bill arrange the blocks in a row? 6, 12, 18 or 24?
stiv31 [10]
24 ways in which the blocks can be arranged
4 0
2 years ago
Read 2 more answers
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