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tester [92]
3 years ago
14

Craig has a rectangle wooden deck that measures 799 inches by 245 inches that he wants to put a string of lights around. What le

ngth of lights should he buy?
Mathematics
1 answer:
tino4ka555 [31]3 years ago
5 0

Answer:

He should buy lights that are 2088 inches long

Step-by-step explanation:

Craig has a rectangle wooden deck that measures 799 inches by 245 inches.

Let us say the length, L, is 799 inches and the breadth, B, is 245 inches.

He wants to put a string of lights around the deck.

This means that he needs to buy the length of lights that would be equal to the perimeter of the rectangular deck.

The perimeter of a rectangle is given as:

P = 2(L + B)

Hence, the length of lights he should buy is:

P = 2(799 + 245) = 2(1044)

P = 2088 inches

He should buy lights that are 2088 inches long.

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How many radians are in 135 degrees ?
bulgar [2K]
There are 2.356 radians in 135 degrees!

Hope I helped you! :) ;)
3 0
3 years ago
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A fire station is to be located along a road of length A, A < q. If fires occur at points uniformly chosen on (0, A), where s
Shtirlitz [24]

Answer:

Step-by-step explanation:

Given that X is uniform in the interval (0,A)

X is continuous since it represents the distance

A fire station is to be located along a road of length A, A < q. If fires occur at points uniformly chosen on (0, A), we  should find where the station be located so as to minimize the expected distance from the fire

Distance can be taken as absolute values here as either side is the same.

E(|x-a|] is to be minimum

E(|x-a|)=E(x-a) for 0<x<a

         =E(a-x), for a<x<A

Using integral we find this value

E(|x-a|)=\int\limits^a_0 {x-a} \, dx +=\int\limits^A_a -{x-a} \, dx\\f(a)=\frac{a^2}{2} -\frac{(A-a)^2}{2}

f(a)=\frac{a^2}{2} +\frac{(A-a)^2}{2} \\f'(a) = a-(A-a)\\f"(a) =2

Using calculus we find that f" is positive so when f' =0 we get solution

f'(a) =0 gives

a=\frac{A}{2}

Hence fire station to be located at the mid point of 0 and A

8 0
4 years ago
Rafael takes home $4200 per month. What is the maximum amount he can
galben [10]

Answer:

A bad debt ratio of more than 10% is considered high and often is a sign that you are in danger of credit overload. So, I'd $420 is the maximum amount he can spend on credit card payments and loan each month.

Step-by-step explanation:

Let's clear this with an example:

Rafael makes $4,200 a month and let's say he spends $550 on credit card payments and $450 on an loans.

Then, the ratio calculation would be $1000 / $4,200 = 0.24

Multiply that by 100 for a debt-income-ratio of 24%.

In this example, Rafael spends almost a quarter of his income on debt which is considered bad debt in economics.

6 0
3 years ago
Please answer this correctly
katrin [286]
She needs 10 more plates
8 0
3 years ago
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H(n) = 41 - 5n<br> Complete the recursive formula of h(n).<br> h(1) = <br> h(n) = h(n-1)
Sophie [7]

The recursive formula of h(n) is h(1) = 36 and h(n) = h(n -1) - 5

<h3>How to determine the recursive formula?</h3>

The function is given as:

h(n) = 41- 5n

Calculate h(1) and h(2)

h(1) = 41- 5(1)

h(1) = 36

h(2) = 41- 5(2)

h(2) = 31

Calculate the difference between h(1) and h(2)

d = 31 - 36

d = -5

This means that:

h(1) = 36 and h(n) = h(n -1) - 5

Hence, the recursive formula of h(n) is h(1) = 36 and h(n) = h(n -1) - 5

Read more about recursive formula at:

brainly.com/question/1275192

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8 0
3 years ago
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