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Basile [38]
2 years ago
12

Find the missing side. Round to the nearest tenth.

Mathematics
1 answer:
Firdavs [7]2 years ago
5 0

Answer: <em>23.7</em>

Step-by-step explanation:

<em>Let's calculate the acute angle at the base of the triangle:</em>

<em>180° - 90° - 40° = 50°</em>

<em>Find side x:</em>

\dfrac{sin \: 90^{o} }{31} =\dfrac{sin \: 50^{o} }{x}\\\\sin \: 90^{o} \cdot x=sin \: 50^{o} \cdot 31\\\\sin \: 90^{o} =1\\sin \: 50^{o} \approx 0.766\\1 \cdot x =0.766 \cdot 31\\x=23.746\\23.746 \approx 23.7

You might be interested in
Mr. Johnston spends 2/3 of every year in Florida how many months does he spend in Florida each year
musickatia [10]

Answer:

8 months

Step-by-step explanation:

12/3 = 4, 1/3 is 4 so 1/3 + 1/3 = 2/3 or 8

6 0
2 years ago
An artist is constructing a piece of art in the shape of rectangle. The artist wants to use string to tightly tie each vertex of
Liula [17]

Answer:

  65.8 ft

Step-by-step explanation:

The number of strings required to tie each vertex to the other three will be ...

  (4)(3)/2 = 6

Those strings will be perimeter strings plus two diagonal strings. The lengths of the perimeter strings are given as 12 ft and 7 ft. The lengths of the diagonal strings can be found using the Pythagorean theorem.

  d² = 12² +7² = 144 +49 = 193

  d = √193 ≈ 13.892

Then the total length of all strings is ...

  L = 2(12.0 +7.0 +13.9) = 65.8 . . . . feet

The artist will need 65.8 feet of string.

4 0
2 years ago
an airline allows each passenger to have a suitcase weighing no more than 45 ibs if hank needs to lower his suitcase weight by 4
Lerok [7]

The bag weighed 75 pounds

Hope this helps!

7 0
3 years ago
Read 2 more answers
The mean number of daily surgeries at a local hospital is 6.2. Assume that surgeries are random, independent events. (a) The cou
Scilla [17]

Answer:

a) correct option is

Poisson distribution is 6.2 and standard deviation is 2.49

b) probability for only 2 or less than 2  surgeries  in a given day is 0.0536

Step-by-step explanation:

Given data:

mean number is given as 6.2

correct option is

Poisson distribution is 6.2 and standard deviation is 2.49

we know that variance is given as\sigma^2 = mean = 6.2

hence, standard deviation is given as \sqrt{6.2} = 2.48998

thus standard deviation is 2.49

correct option is

Poisson distribution is 6.2 and standard deviation is 2.49

b) probability for only 2 or less than 2  surgeries  in a given day is

P(X \leq 2) = P(X =0) + P(X =1) + P(X =2)

                 = \frac{e^{-6.2} 6.2^0}{0!} +\frac{e^{-6.2} 6.2^1}{1!} +\frac{e^{-6.2} 6.2^2}{2!}

                 = 0.002029 + 0.012582+ 0.039006

                 = 0.053617

                = 0.0536

7 0
2 years ago
Which answer has the smallest value?
Mademuasel [1]

Answer:

The smallest value is 2) the opposite of 50 because it is farthest left of the zero (this makes it the smallest)

Step-by-step explanation:

1) = 100

2) = -50

3) = 0

4) = -25

5) = -5

6 0
3 years ago
Read 2 more answers
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