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Snowcat [4.5K]
2 years ago
14

A boat is 10 miles away from a lighthouse that sits on top of a coral reef with a 4 mile radius. At what angle does the captain

need to steer his boat so that he avoids the boat from colliding with the underwater coral? Round to the nearest tenth degree.
Mathematics
1 answer:
lora16 [44]2 years ago
4 0

Answer:

n

Step-by-step explanation:

233

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1. what is the area of the board shown on the scale drawing? explain how you found the area.2. how can Adam use the scale factor
bixtya [17]

Answer:

1. 1800 square cm.

2. See below

3. 45000 square cm.

Explanation:

Part 1

The dimensions of the drawing are 36cm by 50cm.

\begin{gathered} \text{The area of the board}=36\times50 \\ =1800\operatorname{cm}^2 \end{gathered}

Part 2

Given a scale factor, k

If the area of the scale drawing is A; then we can find the area of the actual board by multiplying the area of the scale drawing by the square of k.

Part 3

\begin{gathered} \text{Area of the scale drawing}=1800\operatorname{cm}^2 \\ \text{Scale Factor,k=5} \end{gathered}

Therefore, the area of the actual drawing will be:

\begin{gathered} 1800\times5^2 \\ =45,000\operatorname{cm}^2 \end{gathered}

7 0
1 year ago
(2n + 3)(n – 4) = 0<br> need help asap!!!
Anastaziya [24]
Set each binomial equal to zero to solve. 

2n + 3 = 0
2n = - 3
n = - 3 / 2

n - 4 = 0
n = 4

So n = -3/2, 4


6 0
3 years ago
A certain virus infects one in every 300 people. A test used to detect the virus in a person is positive 90​% of the time when t
garik1379 [7]

Answer:

a)  P[A/B] = 0,019     or     P[A/B] = 1,9 %

b)  P[A- /B-] = 0,9996       or    P[A- /B-] = 99,96 %

Step-by-step explanation:

Bayes Theorem :

P[A/B]  =  P(A) * P[B/A] / P(B)

The branches of events are as follows

Condition 1        real infection     1/300        and     not infection  299/300

Then

1.-    1/300      299/300

When the test is done   (virus present)  0,9 (+)    0,15 (-)

2.-   299/300

When the test is done  ( no virus )   0,15  (+)     0,85 (-)

Then:

P(A) = event person infected          P(B)  =  person test positive

a) P[A/B]  = P(A) * P[B/A] / P(B)

where   P(A)  = 1/300  =   0,0033   P[B/A] = 0,9    

Then P(A) * P[B/A] =  0,0033*0,9  =  0,00297

P(B)   is    ( 1/300 )*0,9  +  (299/300)*0,15

P(B) = 0,0033*0,9 + 0,9966*0,15    ⇒  P(B) = 0,1524

Finally

P[A/B] =  0,00297 /0,1524

P[A/B] = 0,019     or     P[A/B] = 1,9 %

b) Following sames steps:

P[A- /B-] = (299/300) * 0,85  / (299/300) * 0,85 + (1/300 * 0,1)

P[A- /B-] = 0,8471 /0,8474

P[A- /B-] = 0,9996       or    P[A- /B-] = 99,96 %

6 0
2 years ago
The ratio of men to women working for a company is 4 to 3 if there were 42 women working for the company what is the total numbe
vodka [1.7K]
Answer: 98! :)

Explanation:
4/3 = ?/42
42 divided by 3 is 14.
Multiply 14 x 4 = 56.
4/3 = 56/42
Now you add 56 + 42 = 98.
8 0
2 years ago
Read 2 more answers
Help me with this problem I've been working on it for a while now and just can't figure it out
MA_775_DIABLO [31]
It simplifies down to x + 4
 Hope I helped C:
5 0
3 years ago
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