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stira [4]
3 years ago
7

Alex is planning to surround his pool ABCD with a single line of tiles. How many units of tile will he need to surround his pool

? Round your answer to the nearest hundredth.

Mathematics
1 answer:
Zolol [24]3 years ago
7 0

Answer:

19.82 units

Step-by-step explanation:

The number of units of tile simply refers to the perimeter.

So, we need to find all the sides of the rectangle.

Now, we have AB = 4.24 units and BD = 7.07 units.

So, we can find AD using pythagoras theorem.

So,

(AD)² + 4.24² = 7.07²

(AD)² + 17.978 = 49.985

(AD)² = 49.985 - 17.978

AD = √32.007

AD = 5.66 units

AD = BC = 5.66 units

Likewise, AB = DC = 4.24 units

Thus,

perimeter = 2(5.66) + 2(4.24) = 19.8 units

Closest answer among the options is approximately 19.82

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What is the length of leg s of the triangle below?
Alchen [17]

The question is not well formatted. A ell formatted version of the question type is attached and solved below :

Answer:

10

Step-by-step explanation:

Using trigonometry :

Taking the angle 45°

From trigonometry :

Sin θ = opposite / hypotenus

Opposite = s ; hypotenus = 10√2

Sin 45 = s / 10√2

Recall :

Sin 45 = 1/√2

We have ;

1/√2 = s / 10√2

s = 10√2 * 1/√2

s = 10√2 / √2

s = 10

6 0
3 years ago
The width of a rectangle measures (3s+t) centimeters,and it’s length measures (3s-9t) centimeters. Which expression represents t
andreyandreev [35.5K]

Answer:

12s - 16t

Step-by-step explanation:

2(3s + t) + 2(3s - 9t)

6s + 2t + 6s - 18t

12s + 2t - 18t

12s - 16t

3 0
3 years ago
How much is 110 hours in days and hours
eimsori [14]
4 days and 14 hours. 

Method I used: 

1. Do 110÷24 and you should get <span>4.58333333333. Ignore the numbers after the decimal point, and write down 4 as your number of days. 
2. Do 4</span>×24 (you should get 96) and subtract that from 110 (you'll get 14). The difference will be the number of hours. 

Hope I helped! <3
5 0
3 years ago
Read 2 more answers
Need help if anybody can help.​
Darina [25.2K]

Answer:

46.5

Step-by-step explanation:

Of all straight angles have 180 degrees in them.

So, to find x we need to form this equation:

x + 65 + x - 22 = 180

2x + 43 = 180

2x = 180-43

2x = 137

68.5 degrees = x

68.5-22 = 46.5 degrees.

m<CBD = 46.5 degrees.

m<GBF = also 46.5 degrees because it is a vertical angle to <46.5 degrees.

8 0
2 years ago
Carla is a drummer in the school band. By the end of the year, she had played in 85% of the 20 concerts the band played. How man
Margarita [4]

Answer:

29

Step-by-step explanation:

3 0
3 years ago
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