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3 years ago

Can someone explain this

Mathematics

1 answer:

dolphi86 [110]3 years ago

6 0

<h3>Answer: 28</h3>

=========================================================

Explanation:

Let x be the unknown angle we want to find. This angle is in degrees.

The diagram shows 19 is the opposite of this angle, and the side 35 is adjacent to the angle.

We use the tangent ratio to tie the two sides together

$\tan(\text{angle}) = \frac{\text{opposite}}{\text{adjacent}}\\\\\tan(x) = \frac{19}{35}\\\\x = \tan^{-1}\left(\frac{19}{35}\right)\\\\x \approx 28.4956386\\\\x \approx 28\\\\$

Note: The notation $\tan^{-1}$ refers to the inverse tangent, or arctangent.

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What is the value of y in the equation 6 + y = −3? (1 point) Group of answer choices −3 −9 3 9

Paraphin [41]

Answer:

y= -9

Step-by-step explanation:

y+6=-3

subtract 6 from both sides

y=-9

4 0

2 years ago

Read 2 more answers

Ship collisions in the Houston Ship Channel are rare. Suppose the number of collisions are Poisson distributed, with a mean of 1

alexandr1967 [171]

Answer:

$a) \simeq 0.3012$ $b) \simeq 0.0494$ c) $\simeq 0.2438$

Step-by-step explanation:

Rate of collision,

1.2 collisions every 4 months

or, $\frac{1.2}{4}$

= 0.3 collisions per month

So, the Poisson distribution for the random variable no. of collisions per month (X) is given by,

P(X =x) = $\frac{e^{-\lambda}\times {\lambda}^{x}}}{x!}
$

for x ∈ N ∪ {0}

= 0 otherwise --------------------------------------(1)

here, $\lambda = 0.3$ collision / month

No collision over a 4 month period means no collision per month or X =0

Putting X = 0 in (1) we get,

P(X = 0) = $\frac{e^{-0.3}\times {\0.3}^{0}}{0!}
$

$\simeq 0.7408182207$ ------------------------------------(2)

Now, since we are calculating this for 4 months,

so, P(No collision in 4 month period)

= $0.7408182207^{4}$

$\simeq 0.3012$ -----------------------------------------------------------(3)

2 collision in 2 month period means 1 collision per month or X =1

Putting X =1 in (1) we get,

P(X =1) = $\frac{e^{-0.3}\times {\0.3}^{1}}{1!}
$

$\simeq 0.2222454662$ ------------------------------------(4)

Now, since we are calculating this for 2 months, so ,

P(2 collisions in 2 month period)

= $0.2222454662^{2}$

$\simeq 0.0494$ -----------------------------------------(5)

1 collision in 6 months period means

$\frac{1}{6}$ collision per month

Now, P(1 collision in 6 months period)

= P( X = 1/6] (which is to be estimated)

= $\frac {P(X=0)\times 5 + P(X =1)\times 1}{6}$

= \frac {0.7408182207 \times 5 + 0.2222454662 \times 1}{6}[/tex]

$\simeq 0.6543894283$ -------------------------------------------(6)

So,

P(1 collision in 6 month period)

= $0.6543894283^{6}$

$\simeq 0.0785267444$ ------------------------------------------------(7)

So,

P(No collision in 6 months period)

= $(P(X =0)^{6}$

$\simeq 0.1652988882$ ---------------------------------(8)

so,

P(1 or fewer collision in 6 months period)

= (8) + (7 ) = 0.0785267444 +0.1652988882

$\simeq 0.2438$ ---------------------------------------------(9)

7 0

2 years ago

60 minutes is 20% of blank

leva [86]

60 = 0.20x
60/0.20 = x
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6 0

3 years ago

Samuel and Zander together have $392. Samuel has six times as much money as Zander. How much does each have? Please help! Quick

Shalnov [3]

Answer:

Samuel has $336 and Zander has $56

Step-by-step explanation:

Samuel = 6x because he has 6 times Zander

Zander = x

Together they have 392

6x + x = 392

7x = 392

Divide both sides by 7

x = 56

Samuel = 6 x 56 = 336

Zander = 56

336 + 56 = 392

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2 years ago

Are the two triangles similar? Explain your answer.

Sveta_85 [38]

Answer:

Step-by-step explanation:

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Triangle ABC 54 +68 + 58 = 180

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In this case their corresponding angles are nor congruent

8 0

3 years ago